mirror of
https://igit.ific.uv.es/alramos/latticegpu.jl.git
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Merge branch 'master' of igit.ific.uv.es:alramos/latticegpu.jl
This commit is contained in:
Nicolas Lang
commit
3c59b9251a
41 changed files with 3467 additions and 902 deletions
|
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@ -9,6 +9,13 @@ makedocs(sitename="LatticeGPU", modules=[LatticeGPU], doctest=true,
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|||
"LatticeGPU.jl" => "index.md",
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||||
"Space-time" => "space.md",
|
||||
"Groups and algebras" => "groups.md",
|
||||
"Fields" => "fields.md"
|
||||
"Fields" => "fields.md",
|
||||
"Yang-Mills" => "ym.md",
|
||||
"Gradient flow" => "flow.md",
|
||||
"Schrödinger Functional" => "sf.md",
|
||||
"Spinors" => "spinors.md",
|
||||
"Dirac" => "dirac.md",
|
||||
"Solvers" => "solvers.md",
|
||||
"Input Output" => "io.md"
|
||||
],
|
||||
repo = "https://igit.ific.uv.es/alramos/latticegpu.jl")
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||||
|
|
|
|||
107
docs/src/dirac.md
Normal file
107
docs/src/dirac.md
Normal file
|
|
@ -0,0 +1,107 @@
|
|||
|
||||
# Dirac operator
|
||||
|
||||
The module `Dirac` has the necessary structures and functions
|
||||
to simulate non-dynamical 4-dimensional Wilson fermions.
|
||||
|
||||
There are two main data structures in this module, the structure [`DiracParam`](@ref)
|
||||
|
||||
```@docs
|
||||
DiracParam
|
||||
```
|
||||
|
||||
and the workspace [`DiracWorkspace`](@ref)
|
||||
|
||||
```@docs
|
||||
DiracWorkspace
|
||||
```
|
||||
|
||||
The workspace stores four fermion fields, namely `.sr`, `.sp`, `.sAp` and `.st`, used
|
||||
for different purposes. If the representation is either `SU2fund` of `SU3fund`, an extra
|
||||
field with values in `U2alg`/`U3alg` is created to store the clover, used for the improvement.
|
||||
|
||||
## Functions
|
||||
|
||||
The functions [`Dw!`](@ref), [`g5Dw!`](@ref) and [`DwdagDw!`](@ref) are all related to the
|
||||
Wilson-Dirac operator.
|
||||
|
||||
The action of the Dirac operator `Dw!` is the following:
|
||||
|
||||
```math
|
||||
D_w\psi (\vec{x} = x_1,x_2,x_3,x_4) = (4 + m_0 + i \mu \gamma_5)\psi(\vec{x}) -
|
||||
```
|
||||
```math
|
||||
- \frac{1}{2}\sum_{\mu = 1}^4 \theta (\mu) (1-\gamma_\mu) U_\mu(\vec{x}) \psi(\vec{x} + \hat{\mu}) + \theta^* (\mu) (1 + \gamma_\mu) U^{-1}_\mu(\vec{x} - \hat{\mu}) \psi(\vec{x} - \hat{\mu})
|
||||
```
|
||||
|
||||
where $$m_0$$ and $$\theta$$ are respectively the values `.m0` and `.th` of [`DiracParam`](@ref).
|
||||
Note that $$|\theta(\mu)|=1$$ is not built into the code, so it should be imposed explicitly.
|
||||
|
||||
Additionally, if |`dpar.csw`| > 1.0E-10, the clover term is assumed to be stored in `ymws.csw`, which
|
||||
can be done via the [`Csw!`](@ref) function. In this case we have the Sheikholeslami-Wohlert (SW) term
|
||||
in `Dw!`:
|
||||
|
||||
```math
|
||||
\delta D_w^{sw} = \frac{i}{2}c_{sw} \sum_{\pi = 1}^6 F^{cl}_\pi \sigma_\pi \psi(\vec{x})
|
||||
```
|
||||
where the $$\sigma$$ matrices are those described in the `Spinors` module and the index $$\pi$$ runs
|
||||
as specified in `lp.plidx`.
|
||||
|
||||
If the boudary conditions, defined in `lp`, are either `BC_SF_ORBI,D` or `BC_SF_AFWB`, the
|
||||
improvement term
|
||||
|
||||
```math
|
||||
\delta D_w^{SF} = (c_t -1) (\delta_{x_4,a} \psi(\vec{x}) + \delta_{x_4,T-a} \psi(\vec{x}))
|
||||
```
|
||||
is added. Since the time-slice $$t=T$$ is not stored, this accounts for modifying the second
|
||||
and last time-slice.
|
||||
|
||||
Note that the Dirac operator for SF boundary conditions assumes that the value of the field
|
||||
in the first time-slice is zero. To enforce this, we have the function
|
||||
|
||||
```@docs
|
||||
SF_bndfix!
|
||||
```
|
||||
|
||||
The function [`Csw!`](@ref) is used to store the clover in `dws.csw`. It is computed
|
||||
according to the expression
|
||||
|
||||
```math
|
||||
F_{\mu,\nu} = \frac{1}{8} (Q_{\mu \nu} - Q_{\nu \mu})
|
||||
```
|
||||
|
||||
where
|
||||
```math
|
||||
Q_{\mu\nu} = U_\mu(\vec{x})U_{\nu}(x+\mu)U_{\mu}^{-1}(\vec{x}+\nu)U_{\nu}(\vec{x}) +
|
||||
U_{\nu}^{-1}(\vec{x}-\nu) U_\mu (\vec{x}-\nu) U_{\nu}(\vec{x} +\mu - \nu) U^{-1}_{\mu}(\vec{x}) +
|
||||
```
|
||||
```math
|
||||
+ U^{-1}_{\mu}(x-\mu)U_\nu^{-1}(\vec{x} - \mu - \nu)U_\mu(\vec{x} - \mu - \nu)U_\nu^{-1}(x-\nu) +
|
||||
```
|
||||
```math
|
||||
+U_{\nu}(\vec{x})U_{\mu}^{-1}(\vec{x} + \nu - \mu)U^{-1}_{\nu}(\vec{x} - \mu)U_\mu(\vec{x}-\mu)
|
||||
|
||||
```
|
||||
|
||||
The correspondence between the tensor field and the GPU-Array is the following:
|
||||
```math
|
||||
F[b,1,r] \to F_{41}(b,r) ,\quad F[b,2,r] \to F_{42}(b,r) ,\quad F[b,3,r] \to F_{43}(b,r)
|
||||
```
|
||||
```math
|
||||
F[b,4,r] \to F_{31}(b,r) ,\quad F[b,5,r] \to F_{32}(b,r) ,\quad F[b,6,r] \to F_{21}(b,r)
|
||||
```
|
||||
where $$(b,r)$$ labels the lattice points as explained in the module `Space`
|
||||
|
||||
The function [`pfrandomize!`](@ref), userful for stochastic sources, is also present. It
|
||||
randomizes a fermion field, either in all the space or in a specific time-slice.
|
||||
|
||||
The generic interface of these functions reads
|
||||
|
||||
```@docs
|
||||
Dw!
|
||||
g5Dw!
|
||||
DwdagDw!
|
||||
Csw!
|
||||
pfrandomize!
|
||||
mtwmdpar
|
||||
```
|
||||
|
|
@ -1,25 +1,29 @@
|
|||
|
||||
# Lattice fields
|
||||
|
||||
The module `Fields` include simple routines to define a few typical
|
||||
The module `Fields` includes simple routines to define a few typical
|
||||
fields. Fields are simple `CuArray` types with special memory
|
||||
layout. A field always has an associated elemental type (i.e. for
|
||||
gauge fields `SU3`, for scalar fields `Float64`). We have:
|
||||
- scalar fields: One elemental type in each spacetime point.
|
||||
- vector field: One elemental type at each spacetime point and
|
||||
- Scalar fields: One elemental type in each spacetime point.
|
||||
- Vector field: One elemental type at each spacetime point and
|
||||
direction.
|
||||
- `N` scalar fields: `N` elemental types at each spacetime point.
|
||||
- Tensor fields: One elemental type at each spacetime point and
|
||||
plane. They are to be thought of as symmetric tensors.
|
||||
|
||||
Fields can have **natural indexing**, where the memory layout follows
|
||||
the point-in-block and block indices (see
|
||||
[`SpaceParm`](@ref)). Fields can also have **lexicographic indexing**,
|
||||
where points are labelled by a D-dimensional index (see [`scalar_field_point`](@ref)).
|
||||
|
||||
For all these fields the spacetime point are ordered in memory
|
||||
according to the point-in-block and block indices (see
|
||||
[`SpaceParm`](@ref)). An execption is the [`scalar_field_point`](@ref)
|
||||
fields.
|
||||
|
||||
## Initialization
|
||||
|
||||
```@docs
|
||||
scalar_field
|
||||
vector_field
|
||||
tensor_field
|
||||
nscalar_field
|
||||
scalar_field_point
|
||||
```
|
||||
|
|
|
|||
47
docs/src/flow.md
Normal file
47
docs/src/flow.md
Normal file
|
|
@ -0,0 +1,47 @@
|
|||
# Gradient flow
|
||||
|
||||
The gradient flow equations can be integrated in two different ways:
|
||||
1. Using a fixed step-size integrator. In this approach one fixes the
|
||||
step size $\epsilon$ and the links are evolved from
|
||||
$V_\mu(t)$ to $V_\mu(t +\epsilon)$ using some integration
|
||||
scheme.
|
||||
1. Using an adaptive step-size integrator. In this approach one fixes
|
||||
the tolerance $h$ and the links are evolved for a time $t_{\rm
|
||||
end}$ (i.e. from $V_\mu(t)$ to $V_\mu(t +t_{\rm end})$)
|
||||
with the condition that the maximum error while advancing is not
|
||||
larger than $h$.
|
||||
|
||||
In general adaptive step size integrators are much more efficient, but
|
||||
one loses the possibility to measure flow quantities at the
|
||||
intermediate times $\epsilon, 2\epsilon, 3\epsilon,...$. Adaptive
|
||||
step size integrators are ideal for finite size scaling studies, while
|
||||
a mix of both integrators is the most efficient approach in scale
|
||||
setting applications.
|
||||
|
||||
## Integration schemes
|
||||
|
||||
```@docs
|
||||
FlowIntr
|
||||
wfl_euler
|
||||
zfl_euler
|
||||
wfl_rk2
|
||||
zfl_rk2
|
||||
wfl_rk3
|
||||
zfl_rk3
|
||||
```
|
||||
|
||||
## Integrating the flow equations
|
||||
|
||||
```@docs
|
||||
flw
|
||||
flw_adapt
|
||||
```
|
||||
|
||||
## Observables
|
||||
|
||||
```@docs
|
||||
Eoft_plaq
|
||||
Eoft_clover
|
||||
Qtop
|
||||
```
|
||||
|
||||
|
|
@ -1,7 +1,7 @@
|
|||
|
||||
# Groups and Algebras
|
||||
|
||||
The module `Groups` contain generic data types to deal with group and
|
||||
The module `Groups` contains generic data types to deal with group and
|
||||
algebra elements. Group elements $$g\in SU(N)$$ are represented in
|
||||
some compact notation. For the case $$N=2$$ we use two complex numbers
|
||||
(Caley-Dickson representation, i.e. $$g=(z_1,z_2)$$ with
|
||||
|
|
@ -79,7 +79,7 @@ elements. The objective is to get an idea on how group operations
|
|||
We can generate some random group elements.
|
||||
```@repl exs
|
||||
# Generate random groups elements,
|
||||
# check they are actually from the grup
|
||||
# check they are actually from the group
|
||||
g = rand(SU2{Float64})
|
||||
println("Are we in a group?: ", isgroup(g))
|
||||
g = rand(SU3{Float64})
|
||||
|
|
@ -153,6 +153,10 @@ projalg
|
|||
## Generic `Algebra` methods
|
||||
|
||||
```@docs
|
||||
dot
|
||||
norm
|
||||
norm2
|
||||
normalize
|
||||
exp
|
||||
expm
|
||||
alg2mat
|
||||
|
|
|
|||
14
docs/src/io.md
Normal file
14
docs/src/io.md
Normal file
|
|
@ -0,0 +1,14 @@
|
|||
|
||||
# Input/Output
|
||||
|
||||
## Configurations
|
||||
|
||||
Routines to read/write and import gauge configurations.
|
||||
```@docs
|
||||
read_cnfg
|
||||
save_cnfg
|
||||
import_bsfqcd
|
||||
import_lex64
|
||||
import_cern64
|
||||
```
|
||||
|
||||
9
docs/src/sf.md
Normal file
9
docs/src/sf.md
Normal file
|
|
@ -0,0 +1,9 @@
|
|||
# Schödinger Functional
|
||||
|
||||
Specific SF observables and routines
|
||||
|
||||
```@docs
|
||||
setbndfield
|
||||
sfcoupling
|
||||
```
|
||||
|
||||
88
docs/src/solvers.md
Normal file
88
docs/src/solvers.md
Normal file
|
|
@ -0,0 +1,88 @@
|
|||
|
||||
# Solvers
|
||||
|
||||
The module `Solvers` contains the functions to invert the Dirac
|
||||
operator as well as functions to obtain specific propagators.
|
||||
|
||||
|
||||
## CG.jl
|
||||
|
||||
The function [`CG!`](@ref) implements the Conjugate gradient
|
||||
algorith for the operator A
|
||||
|
||||
```@docs
|
||||
CG!
|
||||
```
|
||||
|
||||
where the tolerance is normalized with respect to $$|$$``si``$$|^2$$.
|
||||
The operator A must have the same input structure as all the Dirac
|
||||
operators. If the maximum number of iterations `maxiter` is reached,
|
||||
the function will throw an error. The estimation for $$A^{-1}x$$ is
|
||||
stored in ``si``, and the number of iterations is returned.
|
||||
|
||||
|
||||
Note that all the fermion field in ``dws`` are used
|
||||
inside the function and will be modified. In particular, the final residue
|
||||
is given by $$|$$``dws.sr``$$|^2$$.
|
||||
|
||||
|
||||
|
||||
## Propagators.jl
|
||||
|
||||
In this file, we define some useful functions to obtain certain
|
||||
propagators.
|
||||
|
||||
```@docs
|
||||
propagator!
|
||||
```
|
||||
|
||||
Note that the indexing in Julia starts at 1, so the first tiime slice is t=1.
|
||||
|
||||
Internally, this function solves the equation
|
||||
|
||||
```math
|
||||
D_w^\dagger D_w \psi = \gamma_5 D_w \gamma_5 \eta
|
||||
```
|
||||
|
||||
where $$\eta$$ is either a point-source with the specified color and spin
|
||||
or a random source in a time-slice and stores the value in ``pro``.
|
||||
To solve this equation, the [`CG!`](@ref) function is used.
|
||||
|
||||
|
||||
For the case of SF boundary conditions, we have the boundary-to-bulk
|
||||
propagator, implemented by the function [`bndpropagator!`](@ref)
|
||||
|
||||
```@docs
|
||||
bndpropagator!
|
||||
```
|
||||
|
||||
This propagator is defined by the equation:
|
||||
|
||||
```math
|
||||
D_W S(x) = \frac{c_t}{\sqrt{V}} \delta_{x_0,1} U_0^\dagger(0,\vec{x}) P_+
|
||||
```
|
||||
|
||||
The analog for the other boundary is implemented in the function [`Tbndpropagator!`](@ref)
|
||||
|
||||
```@docs
|
||||
Tbndpropagator!
|
||||
```
|
||||
|
||||
defined by the equation:
|
||||
|
||||
```math
|
||||
D_W R(x) = \frac{c_t}{\sqrt{V}} \delta_{x_0,T-1} U_0(T-1,\vec{x}) P_-
|
||||
```
|
||||
|
||||
Where $$P_\pm = (1 \pm \gamma_0)/2$$. The boundary-to-boundary
|
||||
propagator
|
||||
|
||||
```math
|
||||
\frac{-c_t}{\sqrt{V}} \sum_{\vec{x}} U_0 ^\dagger (T-1,\vec{x}) P_+ S(T-1,\vec{x})
|
||||
```
|
||||
|
||||
is computed by the function [`bndtobnd`](@ref)
|
||||
|
||||
```@docs
|
||||
bndtobnd
|
||||
```
|
||||
|
|
@ -3,7 +3,10 @@
|
|||
|
||||
D-dimensional lattice points are labeled by two ordered integer
|
||||
numbers: the point-in-block index ($$b$$ in the figure below) and the
|
||||
block index ($$r$$ in the figure below). The routines [`up`](@ref) and
|
||||
block index ($$r$$ in the figure below). This is called **natural
|
||||
indexing**, in contrast with the **lexicographic indexing** where points on
|
||||
the lattice are represented by a D-dimensional `CartesianIndex`.
|
||||
The routines [`up`](@ref) and
|
||||
[`dw`](@ref) allow you to displace to the neighboring points of the
|
||||
lattice.
|
||||
 implements the multiplication over the $$\gamma$$ matrices
|
||||
|
||||
```@docs
|
||||
dmul
|
||||
```
|
||||
|
||||
The function [`pmul`](@ref) implements the $$ (1 \pm \gamma_N) $$ proyectors. The functions
|
||||
[`gpmul`](@ref) and [`gdagpmul`](@ref) do the same and then multiply each element by `g`and
|
||||
g^-1 repectively.
|
||||
|
||||
```@docs
|
||||
pmul
|
||||
gpmul
|
||||
gdagpmul
|
||||
```
|
||||
|
||||
## Some examples
|
||||
|
||||
Here we just display some examples for these functions. We display it with `ComplexF64`
|
||||
instead of `SU3fund` or `SU2fund` for simplicity.
|
||||
|
||||
|
||||
```@setup exs
|
||||
import Pkg # hide
|
||||
Pkg.activate("/home/alberto/code/julia/LatticeGPU/") # hide
|
||||
using LatticeGPU # hide
|
||||
```
|
||||
```@repl exs
|
||||
spin = Spinor{4,Complex{Float64}}((1.0,im*0.5,2.3,0.0))
|
||||
println(dmul(Gamma{4},spin))
|
||||
println(pmul(Pgamma{2,-1},spin))
|
||||
|
||||
```
|
||||
59
docs/src/ym.md
Normal file
59
docs/src/ym.md
Normal file
|
|
@ -0,0 +1,59 @@
|
|||
|
||||
# Simulating Yang-Mills on the lattice
|
||||
|
||||
```@docs
|
||||
GaugeParm
|
||||
YMworkspace
|
||||
ztwist
|
||||
```
|
||||
|
||||
## Gauge actions and forces
|
||||
|
||||
Routines to compute the gauge action.
|
||||
```@docs
|
||||
gauge_action
|
||||
```
|
||||
|
||||
Routines to compute the force derived from gauge actions.
|
||||
|
||||
```@docs
|
||||
force_gauge
|
||||
```
|
||||
|
||||
### Force field refresh
|
||||
|
||||
Algebra fields with **natural indexing** can be randomized.
|
||||
```@docs
|
||||
randomize!
|
||||
```
|
||||
|
||||
|
||||
## Basic observables
|
||||
|
||||
Some basic observable.
|
||||
```@docs
|
||||
plaquette
|
||||
```
|
||||
|
||||
## HMC simulations
|
||||
|
||||
### Integrating the EOM
|
||||
|
||||
```@docs
|
||||
IntrScheme
|
||||
leapfrog
|
||||
omf2
|
||||
omf4
|
||||
MD!
|
||||
```
|
||||
|
||||
### HMC algorithm
|
||||
|
||||
```@docs
|
||||
hamiltonian
|
||||
HMC!
|
||||
```
|
||||
|
||||
|
||||
|
||||
|
||||
|
|
@ -19,20 +19,31 @@ using ..Fields
|
|||
using ..YM
|
||||
using ..Spinors
|
||||
|
||||
"""
|
||||
struct DiracParam{T,R}
|
||||
|
||||
Stores the parameters of the Dirac operator. It can be generated via the constructor `function DiracParam{T}(::Type{R},m0,csw,th,tm,ct)`. The first argument can be ommited and is taken to be `SU3fund`.
|
||||
The parameters are:
|
||||
|
||||
- `m0::T` : Mass of the fermion
|
||||
- `csw::T` : Improvement coefficient for the Csw term
|
||||
- `th{Ntuple{4,Complex{T}}}` : Phase for the fermions included in the boundary conditions, reabsorbed in the Dirac operator.
|
||||
- `tm` : Twisted mass parameter
|
||||
- `ct` : Boundary improvement term, only used for Schrödinger Funtional boundary conditions.
|
||||
"""
|
||||
struct DiracParam{T,R}
|
||||
m0::T
|
||||
csw::T
|
||||
th::NTuple{4,Complex{T}}
|
||||
tm::T
|
||||
ct::T
|
||||
|
||||
|
||||
function DiracParam{T}(::Type{R},m0,csw,th,ct) where {T,R}
|
||||
return new{T,R}(m0,csw,th,ct)
|
||||
function DiracParam{T}(::Type{R},m0,csw,th,tm,ct) where {T,R}
|
||||
return new{T,R}(m0,csw,th,tm,ct)
|
||||
end
|
||||
|
||||
function DiracParam{T}(m0,csw,th,ct) where {T}
|
||||
return new{T,SU3fund}(m0,csw,th,ct)
|
||||
function DiracParam{T}(m0,csw,th,tm,ct) where {T}
|
||||
return new{T,SU3fund}(m0,csw,th,tm,ct)
|
||||
end
|
||||
end
|
||||
function Base.show(io::IO, dpar::DiracParam{T,R}) where {T,R}
|
||||
|
|
@ -40,11 +51,24 @@ function Base.show(io::IO, dpar::DiracParam{T,R}) where {T,R}
|
|||
println(io, "Wilson fermions in the: ", R, " representation")
|
||||
println(io, " - Bare mass: ", dpar.m0," // Kappa = ",0.5/(dpar.m0+4))
|
||||
println(io, " - Csw : ", dpar.csw)
|
||||
println(io, " - c_t: ", dpar.ct)
|
||||
println(io, " - Theta: ", dpar.th)
|
||||
println(io, " - Twisted mass: ", dpar.tm)
|
||||
println(io, " - c_t: ", dpar.ct)
|
||||
return nothing
|
||||
end
|
||||
|
||||
|
||||
"""
|
||||
struct DiracWorkspace{T}
|
||||
|
||||
Workspace needed to work with fermion fields. It contains four scalar fermion fields and, for the SU2fund and SU3fund, a U(N) field to store the clover term.
|
||||
|
||||
It can be created with the constructor `DiracWorkspace(::Type{G}, ::Type{T}, lp::SpaceParm{4,6,B,D})`. For example:
|
||||
|
||||
dws = DiracWorkspace(SU2fund,Float64,lp);
|
||||
dws = DiracWorkspace(SU3fund,Float64,lp);
|
||||
|
||||
"""
|
||||
struct DiracWorkspace{T}
|
||||
sr
|
||||
sp
|
||||
|
|
@ -81,573 +105,30 @@ struct DiracWorkspace{T}
|
|||
|
||||
end
|
||||
|
||||
export DiracWorkspace, DiracParam
|
||||
|
||||
|
||||
"""
|
||||
function Csw!(dws, U, gp, lp::SpaceParm)
|
||||
|
||||
Computes the clover and stores it in dws.csw.
|
||||
function mtwmdpar(dpar::DiracParam)
|
||||
|
||||
Returns `dpar` with oposite value of the twisted mass.
|
||||
"""
|
||||
function Csw!(dws, U, gp, lp::SpaceParm{4,6,B,D}) where {B,D}
|
||||
|
||||
@timeit "Csw computation" begin
|
||||
|
||||
for i in 1:Int(lp.npls)
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_csw!(dws.csw, U, gp.Ubnd, i, lp)
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_csw!(csw::AbstractArray{T}, U, Ubnd, ipl, lp::SpaceParm{4,M,B,D}) where {T,M,B,D}
|
||||
|
||||
@inbounds begin
|
||||
b = Int64(CUDA.threadIdx().x)
|
||||
r = Int64(CUDA.blockIdx().x)
|
||||
I = point_coord((b,r), lp)
|
||||
it = I[4]
|
||||
|
||||
id1, id2 = lp.plidx[ipl]
|
||||
SFBC = ((B == BC_SF_AFWB) || (B == BC_SF_ORBI) ) && (id1 == 4)
|
||||
|
||||
bu1, ru1 = up((b, r), id1, lp)
|
||||
bu2, ru2 = up((b, r), id2, lp)
|
||||
bd1, rd1 = dw((b, r), id1, lp)
|
||||
bd2, rd2 = dw((b, r), id2, lp)
|
||||
bdd, rdd = dw((bd1, rd1), id2, lp)
|
||||
bud, rud = dw((bu1, ru1), id2, lp)
|
||||
bdu, rdu = up((bd1, rd1), id2, lp)
|
||||
|
||||
if SFBC && (it == lp.iL[end])
|
||||
gt1 = Ubnd[id2]
|
||||
gt2 = Ubnd[id2]
|
||||
else
|
||||
gt1 = U[bu1,id2,ru1]
|
||||
gt2 = U[bud,id2,rud]
|
||||
end
|
||||
|
||||
M1 = U[b,id1,r]*gt1/(U[b,id2,r]*U[bu2,id1,ru2])
|
||||
M2 = (U[bd2,id2,rd2]\(U[bd2,id1,rd2]*gt2))/U[b,id1,r]
|
||||
M3 = (U[bdd,id2,rdd]*U[bd1,id1,rd1])\(U[bdd,id1,rdd]*U[bd2,id2,rd2])
|
||||
M4 = (U[b,id2,r]/(U[bd1,id2,rd1]*U[bdu,id1,rdu]))*U[bd1,id1,rd1]
|
||||
|
||||
|
||||
if !(SFBC && (it == 1))
|
||||
csw[b,ipl,r] = 0.125*(antsym(M1)+antsym(M2)+antsym(M3)+antsym(M4))
|
||||
end
|
||||
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function Dw!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::SpaceParm{4,6,B,D}) where {B,D}
|
||||
|
||||
if abs(dpar.csw) > 1.0E-10
|
||||
@timeit "Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_Dwimpr!(so, U, si, dws.csw, dpar.m0, dpar.th, dpar.csw, lp)
|
||||
end
|
||||
end
|
||||
else
|
||||
@timeit "Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_Dw!(so, U, si, dpar.m0, dpar.th, lp)
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_Dwimpr!(so, U, si, Fcsw, m0, th, csw, lp::SpaceParm{4,6,B,D}) where {B,D}
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = (4+m0)*si[b,r] + 0.5*csw*im*( Fcsw[b,1,r]*dmul(Gamma{10},si[b,r]) + Fcsw[b,2,r]*dmul(Gamma{11},si[b,r]) + Fcsw[b,3,r]*dmul(Gamma{12},si[b,r])
|
||||
+Fcsw[b,4,r]*dmul(Gamma{15},si[b,r]) + Fcsw[b,5,r]*dmul(Gamma{14},si[b,r]) + Fcsw[b,6,r]*dmul(Gamma{13},si[b,r]))
|
||||
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_Dw!(so, U, si, m0, th, lp::SpaceParm{4,6,B,D}) where {B,D}
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = (4+m0)*si[b,r]
|
||||
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function Dw!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}}) where {D}
|
||||
|
||||
if abs(dpar.csw) > 1.0E-10
|
||||
@timeit "Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_Dwimpr!(so, U, si, dws.csw, dpar.m0, dpar.th, dpar.csw, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
else
|
||||
@timeit "Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_Dw!(so, U, si, dpar.m0, dpar.th, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_Dwimpr!(so, U, si, Fcsw, m0, th, csw, ct, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}}) where {D}
|
||||
|
||||
# The field si is assumed to be zero at t = 0
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
if (point_time((b,r),lp) != 1)
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = (4+m0)*si[b,r] + 0.5*csw*im*( Fcsw[b,1,r]*dmul(Gamma{10},si[b,r]) + Fcsw[b,2,r]*dmul(Gamma{11},si[b,r]) + Fcsw[b,3,r]*dmul(Gamma{12},si[b,r])
|
||||
+Fcsw[b,4,r]*dmul(Gamma{15},si[b,r]) + Fcsw[b,5,r]*dmul(Gamma{14},si[b,r]) + Fcsw[b,6,r]*dmul(Gamma{13},si[b,r]))
|
||||
|
||||
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
if (point_time((b,r),lp) == 2) || (point_time((b,r),lp) == lp.iL[4])
|
||||
so[b,r] += (ct-1.0)*si[b,r]
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_Dw!(so, U, si, m0, th, ct, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}}) where {D}
|
||||
|
||||
# The field si is assumed to be zero at t = 0
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
if (point_time((b,r),lp) != 1)
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = (4+m0)*si[b,r]
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
if (point_time((b,r),lp) == 2) || (point_time((b,r),lp) == lp.iL[4])
|
||||
so[b,r] += (ct-1.0)*si[b,r]
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function g5Dw!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::SpaceParm{4,6,B,D}) where {B,D}
|
||||
|
||||
if abs(dpar.csw) > 1.0E-10
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dwimpr!(so, U, si, dws.csw, dpar.m0, dpar.th, dpar.csw, lp)
|
||||
end
|
||||
end
|
||||
else
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dw!(so, U, si, dpar.m0, dpar.th, lp)
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_g5Dwimpr!(so, U, si, Fcsw, m0, th, csw, lp::SpaceParm{4,6,B,D}) where {B,D}
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = (4+m0)*si[b,r] + 0.5*csw*im*( Fcsw[b,1,r]*dmul(Gamma{10},si[b,r]) + Fcsw[b,2,r]*dmul(Gamma{11},si[b,r]) + Fcsw[b,3,r]*dmul(Gamma{12},si[b,r])
|
||||
+Fcsw[b,4,r]*dmul(Gamma{15},si[b,r]) + Fcsw[b,5,r]*dmul(Gamma{14},si[b,r]) + Fcsw[b,6,r]*dmul(Gamma{13},si[b,r]))
|
||||
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
so[b,r] = dmul(Gamma{5}, so[b,r])
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_g5Dw!(so, U, si, m0, th, lp::SpaceParm{4,6,B,D}) where {B,D}
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = (4+m0)*si[b,r]
|
||||
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
so[b,r] = dmul(Gamma{5}, so[b,r])
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function g5Dw!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}}) where {D}
|
||||
|
||||
if abs(dpar.csw) > 1.0E-10
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dwimpr!(so, U, si, dws.csw, dpar.m0, dpar.th, dpar.csw, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
else
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dw!(so, U, si, dpar.m0, dpar.th, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_g5Dwimpr!(so, U, si, Fcsw, m0, th, csw, ct, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}}) where {D}
|
||||
|
||||
# The field si is assumed to be zero at t = 0
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
if (point_time((b,r),lp) != 1)
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = (4+m0)*si[b,r] + 0.5*csw*im*( Fcsw[b,1,r]*dmul(Gamma{10},si[b,r]) + Fcsw[b,2,r]*dmul(Gamma{11},si[b,r]) + Fcsw[b,3,r]*dmul(Gamma{12},si[b,r])
|
||||
+Fcsw[b,4,r]*dmul(Gamma{15},si[b,r]) + Fcsw[b,5,r]*dmul(Gamma{14},si[b,r]) + Fcsw[b,6,r]*dmul(Gamma{13},si[b,r]))
|
||||
|
||||
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
if (point_time((b,r),lp) == 2) || (point_time((b,r),lp) == lp.iL[4])
|
||||
so[b,r] += (ct-1.0)*si[b,r]
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
so[b,r] = dmul(Gamma{5}, so[b,r])
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_g5Dw!(so, U, si, m0, th, ct, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}}) where {D}
|
||||
|
||||
# The field si is assumed to be zero at t = 0
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
if (point_time((b,r),lp) != 1)
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = (4+m0)*si[b,r]
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
if (point_time((b,r),lp) == 2) || (point_time((b,r),lp) == lp.iL[4])
|
||||
so[b,r] += (ct-1.0)*si[b,r]
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
so[b,r] = dmul(Gamma{5}, so[b,r])
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function DwdagDw!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}}) where {D}
|
||||
|
||||
if abs(dpar.csw) > 1.0E-10
|
||||
@timeit "DwdagDw" begin
|
||||
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dwimpr!(dws.st, U, si, dws.csw, dpar.m0, dpar.th, dpar.csw, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dwimpr!(so, U, dws.st, dws.csw, dpar.m0, dpar.th, dpar.csw, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
end
|
||||
else
|
||||
@timeit "DwdagDw" begin
|
||||
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dw!(dws.st, U, si, dpar.m0, dpar.th, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dw!(so, U, dws.st, dpar.m0, dpar.th, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function DwdagDw!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::SpaceParm{4,6,B,D}) where {B,D}
|
||||
|
||||
if abs(dpar.csw) > 1.0E-10
|
||||
@timeit "DwdagDw" begin
|
||||
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dwimpr!(dws.st, U, si, dws.csw, dpar.m0, dpar.th, dpar.csw, lp)
|
||||
end
|
||||
end
|
||||
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dwimpr!(so, U, dws.st, dws.csw, dpar.m0, dpar.th, dpar.csw, lp)
|
||||
end
|
||||
end
|
||||
end
|
||||
else
|
||||
@timeit "DwdagDw" begin
|
||||
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dw!(dws.st, U, si, dpar.m0, dpar.th, lp)
|
||||
end
|
||||
end
|
||||
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dw!(so, U, dws.st, dpar.m0, dpar.th, lp)
|
||||
end
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
function mtwmdpar(dpar::DiracParam{P,R}) where {P,R}
|
||||
return DiracParam{P}(R,dpar.m0,dpar.csw,dpar.th,-dpar.tm,dpar.ct)
|
||||
end
|
||||
|
||||
|
||||
function SF_bndfix!(sp, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}}) where {D}
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_sfbndfix!(sp, lp)
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
export DiracWorkspace, DiracParam, mtwmdpar
|
||||
|
||||
function krnl_sfbndfix!(sp,lp::SpaceParm)
|
||||
b=Int64(CUDA.threadIdx().x)
|
||||
r=Int64(CUDA.blockIdx().x)
|
||||
|
||||
if (point_time((b,r),lp) == 1)
|
||||
sp[b,r] = 0.0*sp[b,r]
|
||||
end
|
||||
return nothing
|
||||
end
|
||||
|
||||
|
||||
"""
|
||||
function pfrandomize!(f::AbstractArray{Spinor{4, SU3fund / SU2fund {T}}}, lp::SpaceParm, t::Int64 = 0)
|
||||
|
||||
Randomizes the SU2fund / SU3fund fermion field. If the argument t is present, it only randomizes that time-slice.
|
||||
"""
|
||||
function pfrandomize!(f::AbstractArray{Spinor{4, SU3fund{T}}}, lp::SpaceParm, t::Int64 = 0) where {T}
|
||||
|
||||
@timeit "Randomize pseudofermion field" begin
|
||||
p = ntuple(i->CUDA.randn(T, lp.bsz, 3, lp.rsz,2),4) # complex generation not suported for Julia 1.5.4
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_assign_pf_su3!(f,p,lp,t)
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_assign_pf_su3!(f::AbstractArray, p , lp::SpaceParm, t::Int64)
|
||||
|
||||
@inbounds begin
|
||||
b = Int64(CUDA.threadIdx().x)
|
||||
r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
if t == 0
|
||||
f[b,r] = Spinor(map(x->SU3fund(x[b,1,r,1] + im* x[b,1,r,2],
|
||||
x[b,2,r,1] + im* x[b,2,r,2],
|
||||
x[b,3,r,1] + im* x[b,3,r,2]),p))
|
||||
elseif point_time((b,r),lp) == t
|
||||
f[b,r] = Spinor(map(x->SU3fund(x[b,1,r,1] + im* x[b,1,r,2],
|
||||
x[b,2,r,1] + im* x[b,2,r,2],
|
||||
x[b,3,r,1] + im* x[b,3,r,2]),p))
|
||||
end
|
||||
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function pfrandomize!(f::AbstractArray{Spinor{4, SU2fund{T}}},lp::SpaceParm, t::Int64=0) where {T}
|
||||
|
||||
@timeit "Randomize pseudofermion field" begin
|
||||
p = ntuple(i->CUDA.randn(T, lp.bsz, 2, lp.rsz,2),4) # complex generation not suported for Julia 1.5.4
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_assign_pf_su2!(f,p,lp,t)
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_assign_pf_su2!(f::AbstractArray, p , lp::SpaceParm, t::Int64)
|
||||
|
||||
@inbounds begin
|
||||
b = Int64(CUDA.threadIdx().x)
|
||||
r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
if t == 0
|
||||
f[b,r] = Spinor(map(x->SU2fund(x[b,1,r,1] + im* x[b,1,r,2],
|
||||
x[b,2,r,1] + im* x[b,2,r,2]),p))
|
||||
elseif point_time((b,r),lp) == t
|
||||
f[b,r] = Spinor(map(x->SU2fund(x[b,1,r,1] + im* x[b,1,r,2],
|
||||
x[b,2,r,1] + im* x[b,2,r,2]),p))
|
||||
end
|
||||
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
export Dw!, g5Dw!, DwdagDw!, SF_bndfix!, Csw!, pfrandomize!
|
||||
include("Diracfields.jl")
|
||||
export SF_bndfix!, Csw!, pfrandomize!
|
||||
|
||||
include("Diracoper.jl")
|
||||
export Dw!, g5Dw!, DwdagDw!
|
||||
|
||||
include("DiracIO.jl")
|
||||
export read_prop, save_prop, read_dpar
|
||||
|
||||
include("Diracflow.jl")
|
||||
export Nablanabla!, Dslash_sq!, flw, backflow
|
||||
|
||||
|
||||
end
|
||||
|
|
|
|||
|
|
@ -41,7 +41,7 @@ function read_prop(fname::String)
|
|||
footh = Vector{Float64}(undef, 4)
|
||||
|
||||
lp = SpaceParm{ndim}(iL, (4,4,4,4), ibc, ntw)
|
||||
dpar = DiracParam{Float64}(SU3fund,foopars[1],foopars[2],ntuple(i -> footh[i], 4),foopars[3])
|
||||
dpar = DiracParam{Float64}(SU3fund,foopars[1],foopars[2],ntuple(i -> footh[i], 4),foopars[3],foopars[4])
|
||||
|
||||
|
||||
dtr = (2,3,4,1)
|
||||
|
|
@ -100,7 +100,7 @@ function save_prop(fname::String, psi, lp::SpaceParm{4,M,B,D}, dpar::DiracParam;
|
|||
BDIO_write!(fb, [convert(Int32, B)])
|
||||
BDIO_write!(fb, [convert(Int32, lp.iL[i]) for i in 1:4])
|
||||
BDIO_write!(fb, [convert(Int32, lp.ntw[i]) for i in 1:M])
|
||||
BDIO_write!(fb, [dpar.m0, dpar.csw, dpar.ct])
|
||||
BDIO_write!(fb, [dpar.m0, dpar.csw, dpar.tm, dpar.ct])
|
||||
BDIO_write!(fb, [dpar.th[i] for i in 1:4])
|
||||
end
|
||||
BDIO_write_hash!(fb)
|
||||
|
|
@ -175,9 +175,9 @@ function read_dpar(fname::String)
|
|||
footh = Vector{Float64}(undef, 4)
|
||||
|
||||
lp = SpaceParm{ndim}(iL, (4,4,4,4), ibc, ntw)
|
||||
dpar = DiracParam{Float64}(SU3fund,foopars[1],foopars[2],ntuple(i -> footh[i], 4),foopars[3])
|
||||
dpar = DiracParam{Float64}(SU3fund,foopars[1],foopars[2],ntuple(i -> footh[i], 4),foopars[3],foopars[4])
|
||||
|
||||
|
||||
BDIO_close!(fb)
|
||||
return dpar, lp
|
||||
end
|
||||
end
|
||||
|
|
|
|||
211
src/Dirac/Diracfields.jl
Normal file
211
src/Dirac/Diracfields.jl
Normal file
|
|
@ -0,0 +1,211 @@
|
|||
|
||||
|
||||
|
||||
"""
|
||||
function Csw!(dws, U, gp, lp::SpaceParm)
|
||||
|
||||
Computes the clover and stores it in dws.csw.
|
||||
|
||||
"""
|
||||
function Csw!(dws, U, gp, lp::SpaceParm{4,6,B,D}) where {B,D}
|
||||
|
||||
@timeit "Csw computation" begin
|
||||
|
||||
for i in 1:Int(lp.npls)
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_csw!(dws.csw, U, gp.Ubnd, i, lp)
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_csw!(csw::AbstractArray{T}, U, Ubnd, ipl, lp::SpaceParm{4,M,B,D}) where {T,M,B,D}
|
||||
|
||||
@inbounds begin
|
||||
b = Int64(CUDA.threadIdx().x)
|
||||
r = Int64(CUDA.blockIdx().x)
|
||||
I = point_coord((b,r), lp)
|
||||
it = I[4]
|
||||
|
||||
id1, id2 = lp.plidx[ipl]
|
||||
SFBC = ((B == BC_SF_AFWB) || (B == BC_SF_ORBI) ) && (id1 == 4)
|
||||
OBC = (B == BC_OPEN) && ((it == 1) || (it == lp.iL[end]))
|
||||
|
||||
bu1, ru1 = up((b, r), id1, lp)
|
||||
bu2, ru2 = up((b, r), id2, lp)
|
||||
bd1, rd1 = dw((b, r), id1, lp)
|
||||
bd2, rd2 = dw((b, r), id2, lp)
|
||||
bdd, rdd = dw((bd1, rd1), id2, lp)
|
||||
bud, rud = dw((bu1, ru1), id2, lp)
|
||||
bdu, rdu = up((bd1, rd1), id2, lp)
|
||||
|
||||
if SFBC && (it == lp.iL[end])
|
||||
gt1 = Ubnd[id2]
|
||||
gt2 = Ubnd[id2]
|
||||
else
|
||||
gt1 = U[bu1,id2,ru1]
|
||||
gt2 = U[bud,id2,rud]
|
||||
end
|
||||
|
||||
M1 = U[b,id1,r]*gt1/(U[b,id2,r]*U[bu2,id1,ru2])
|
||||
M2 = (U[bd2,id2,rd2]\(U[bd2,id1,rd2]*gt2))/U[b,id1,r]
|
||||
M3 = (U[bdd,id2,rdd]*U[bd1,id1,rd1])\(U[bdd,id1,rdd]*U[bd2,id2,rd2])
|
||||
M4 = (U[b,id2,r]/(U[bd1,id2,rd1]*U[bdu,id1,rdu]))*U[bd1,id1,rd1]
|
||||
|
||||
|
||||
if !(SFBC && (it == 1)) && !OBC
|
||||
csw[b,ipl,r] = 0.125*(antsym(M1)+antsym(M2)+antsym(M3)+antsym(M4))
|
||||
end
|
||||
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
|
||||
|
||||
"""
|
||||
SF_bndfix!(sp, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}})
|
||||
|
||||
Sets all the values of `sp` in the first time slice to zero.
|
||||
"""
|
||||
function SF_bndfix!(sp, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}}) where {D}
|
||||
@timeit "SF boundary fix" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_sfbndfix!(sp, lp)
|
||||
end
|
||||
end
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_sfbndfix!(sp,lp::SpaceParm)
|
||||
b=Int64(CUDA.threadIdx().x)
|
||||
r=Int64(CUDA.blockIdx().x)
|
||||
|
||||
if (point_time((b,r),lp) == 1)
|
||||
sp[b,r] = 0.0*sp[b,r]
|
||||
end
|
||||
return nothing
|
||||
end
|
||||
|
||||
"""
|
||||
SF_bndfix!(sp, lp::SpaceParm{4,6,BC_OPEN,D})
|
||||
|
||||
Sets all the values of `sp` in the first and last time slice to zero.
|
||||
"""
|
||||
function SF_bndfix!(sp, lp::SpaceParm{4,6,BC_OPEN,D}) where {D}
|
||||
@timeit "SF boundary fix" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_opbndfix!(sp, lp)
|
||||
end
|
||||
end
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_opbndfix!(sp,lp::SpaceParm)
|
||||
b=Int64(CUDA.threadIdx().x)
|
||||
r=Int64(CUDA.blockIdx().x)
|
||||
|
||||
if ((point_time((b,r),lp) == 1) || (point_time((b,r),lp) == lp.iL[end]))
|
||||
sp[b,r] = 0.0*sp[b,r]
|
||||
end
|
||||
return nothing
|
||||
end
|
||||
|
||||
|
||||
"""
|
||||
function pfrandomize!(f::AbstractArray{Spinor{4, SU3fund / SU2fund {T}}}, lp::SpaceParm, t::Int64 = 0)
|
||||
|
||||
Randomizes the SU2fund / SU3fund fermion field. If the argument t is present, it only randomizes that time-slice.
|
||||
"""
|
||||
function pfrandomize!(f::AbstractArray{Spinor{4, SU3fund{T}}}, lp::SpaceParm{4,6,BC_PERIODIC,D}, t::Int64 = 0) where {T,D}
|
||||
|
||||
@timeit "Randomize pseudofermion field" begin
|
||||
p = ntuple(i->CUDA.randn(T, lp.bsz, 3, lp.rsz,2),4)./sqrt(2) # complex generation not suported for Julia 1.5.4
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_assign_pf_su3!(f,p,lp,t)
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function pfrandomize!(f::AbstractArray{Spinor{4, SU3fund{T}}}, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D},SpaceParm{4,6,BC_OPEN,D}}, t::Int64 = 0) where {T,D}
|
||||
|
||||
@timeit "Randomize pseudofermion field" begin
|
||||
p = ntuple(i->CUDA.randn(T, lp.bsz, 3, lp.rsz,2),4)./sqrt(2) # complex generation not suported for Julia 1.5.4
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_assign_pf_su3!(f,p,lp,t)
|
||||
end
|
||||
end
|
||||
SF_bndfix!(f,lp)
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_assign_pf_su3!(f::AbstractArray, p , lp::SpaceParm, t::Int64)
|
||||
|
||||
@inbounds begin
|
||||
b = Int64(CUDA.threadIdx().x)
|
||||
r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
if t == 0
|
||||
f[b,r] = Spinor(map(x->SU3fund(x[b,1,r,1] + im* x[b,1,r,2],
|
||||
x[b,2,r,1] + im* x[b,2,r,2],
|
||||
x[b,3,r,1] + im* x[b,3,r,2]),p))
|
||||
elseif point_time((b,r),lp) == t
|
||||
f[b,r] = Spinor(map(x->SU3fund(x[b,1,r,1] + im* x[b,1,r,2],
|
||||
x[b,2,r,1] + im* x[b,2,r,2],
|
||||
x[b,3,r,1] + im* x[b,3,r,2]),p))
|
||||
end
|
||||
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function pfrandomize!(f::AbstractArray{Spinor{4, SU2fund{T}}}, lp::SpaceParm{4,6,BC_PERIODIC,D}, t::Int64 = 0) where {T,D}
|
||||
|
||||
@timeit "Randomize pseudofermion field" begin
|
||||
p = ntuple(i->CUDA.randn(T, lp.bsz, 3, lp.rsz,2),4)./sqrt(2) # complex generation not suported for Julia 1.5.4
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_assign_pf_su2!(f,p,lp,t)
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function pfrandomize!(f::AbstractArray{Spinor{4, SU2fund{T}}}, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D},SpaceParm{4,6,BC_OPEN,D}}, t::Int64 = 0) where {T,D}
|
||||
|
||||
@timeit "Randomize pseudofermion field" begin
|
||||
p = ntuple(i->CUDA.randn(T, lp.bsz, 3, lp.rsz,2),4)./sqrt(2) # complex generation not suported for Julia 1.5.4
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_assign_pf_su2!(f,p,lp,t)
|
||||
end
|
||||
end
|
||||
SF_bndfix!(f,lp)
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_assign_pf_su2!(f::AbstractArray, p , lp::SpaceParm, t::Int64)
|
||||
|
||||
@inbounds begin
|
||||
b = Int64(CUDA.threadIdx().x)
|
||||
r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
if t == 0
|
||||
f[b,r] = Spinor(map(x->SU2fund(x[b,1,r,1] + im* x[b,1,r,2],
|
||||
x[b,2,r,1] + im* x[b,2,r,2]),p))
|
||||
elseif point_time((b,r),lp) == t
|
||||
f[b,r] = Spinor(map(x->SU2fund(x[b,1,r,1] + im* x[b,1,r,2],
|
||||
x[b,2,r,1] + im* x[b,2,r,2]),p))
|
||||
end
|
||||
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
456
src/Dirac/Diracflow.jl
Normal file
456
src/Dirac/Diracflow.jl
Normal file
|
|
@ -0,0 +1,456 @@
|
|||
|
||||
import ..YM.flw, ..YM.force_gauge, ..YM.flw_adapt
|
||||
|
||||
|
||||
function flw(U, psi, int::FlowIntr{NI,T}, ns::Int64, eps, gp::GaugeParm, dpar::DiracParam, lp::SpaceParm, ymws::YMworkspace, dws::DiracWorkspace) where {NI,T}
|
||||
@timeit "Integrating flow equations" begin
|
||||
for i in 1:ns
|
||||
force_gauge(ymws, U, int.c0, 1, gp, lp)
|
||||
|
||||
if int.add_zth
|
||||
add_zth_term(ymws::YMworkspace, U, lp)
|
||||
end
|
||||
|
||||
Nablanabla!(dws.sAp, U, psi, dpar, dws, lp)
|
||||
psi .= psi + 2*int.r*eps*dws.sAp
|
||||
|
||||
ymws.mom .= ymws.frc1
|
||||
U .= expm.(U, ymws.mom, 2*eps*int.r)
|
||||
|
||||
for k in 1:NI
|
||||
force_gauge(ymws, U, int.c0, 1, gp, lp)
|
||||
|
||||
if int.add_zth
|
||||
add_zth_term(ymws::YMworkspace, U, lp)
|
||||
end
|
||||
|
||||
Nablanabla!(dws.sp, U, psi, dpar, dws, lp)
|
||||
dws.sAp .= int.e0[k].*dws.sAp .+ int.e1[k].*dws.sp
|
||||
psi .= psi + 2*eps*dws.sAp
|
||||
|
||||
ymws.mom .= int.e0[k].*ymws.mom .+ int.e1[k].*ymws.frc1
|
||||
U .= expm.(U, ymws.mom, 2*eps)
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
flw(U, psi, int::FlowIntr{NI,T}, ns::Int64, gp::GaugeParm, dpar::DiracParam, lp::SpaceParm, ymws::YMworkspace, dws::DiracWorkspace) where {NI,T} = flw(U, psi, int::FlowIntr{NI,T}, ns::Int64, int.eps, gp::GaugeParm, dpar::DiracParam, lp::SpaceParm, ymws::YMworkspace, dws::DiracWorkspace)
|
||||
|
||||
"""
|
||||
function backflow(psi, U, Dt, nsave::Int64, gp::GaugeParm, dpar::DiracParam, lp::SpaceParm, ymws::YMworkspace, dws::DiracWorkspace)
|
||||
|
||||
Performs one step back in flow time for the fermion field, according to 1302.5246. The fermion field must me that of the time-slice Dt and is flowed back to the first time-slice
|
||||
nsave is the total number of gauge fields saved in the process
|
||||
|
||||
"""
|
||||
function backflow(psi, U, Dt, maxnsave::Int64, gp::GaugeParm, dpar::DiracParam, lp::SpaceParm, ymws::YMworkspace, dws::DiracWorkspace)
|
||||
|
||||
int = wfl_rk3(Float64,0.01,1.0) # Default integrator, it has to be order 3 rk but in can be zfl
|
||||
|
||||
@timeit "Backflow integration" begin
|
||||
@timeit "GPU to CPU" U0 = Array(U)
|
||||
|
||||
nt,eps_all = flw_adapt(U, int, Dt, gp, lp, ymws)
|
||||
|
||||
nsave = min(maxnsave,nt)
|
||||
|
||||
nsave != 0 ? dsave = Int64(floor(nt/nsave)) : dsave = nt
|
||||
Usave = Vector{typeof(U0)}(undef,nsave)
|
||||
|
||||
@timeit "CPU to GPU" copyto!(U,U0)
|
||||
for i in 1:(dsave*nsave)
|
||||
flw(U, int, 1, eps_all[i], gp, lp, ymws)
|
||||
(i%dsave)==0 ? Usave[Int64(i/dsave)] = Array(U) : nothing
|
||||
end
|
||||
|
||||
for j in (nt%nsave):-1:1
|
||||
@timeit "CPU to GPU" copyto!(U,Usave[end])
|
||||
for k in 1:j-1
|
||||
flw(U, int, 1, eps_all[nsave*dsave + k], gp, lp, ymws)
|
||||
end
|
||||
bflw_step!(psi, U, eps_all[nsave*dsave + j], int::FlowIntr, gp::GaugeParm, dpar::DiracParam, lp::SpaceParm, ymws::YMworkspace, dws::DiracWorkspace)
|
||||
end
|
||||
|
||||
for i in (nsave-1):-1:1
|
||||
for j in dsave:-1:1
|
||||
@timeit "CPU to GPU" copyto!(U,Usave[i])
|
||||
for k in 1:j-1
|
||||
flw(U, int, 1, eps_all[i*dsave + k], gp, lp, ymws)
|
||||
end
|
||||
bflw_step!(psi, U, eps_all[i*dsave + j], int::FlowIntr, gp::GaugeParm, dpar::DiracParam, lp::SpaceParm, ymws::YMworkspace, dws::DiracWorkspace)
|
||||
end
|
||||
end
|
||||
|
||||
@timeit "CPU to GPU" copyto!(U,U0)
|
||||
|
||||
for j in dsave:-1:1
|
||||
@timeit "CPU to GPU" copyto!(U,U0)
|
||||
for k in 1:j-1
|
||||
flw(U, int, 1, eps_all[k], gp, lp, ymws)
|
||||
end
|
||||
bflw_step!(psi, U, eps_all[j], int::FlowIntr, gp::GaugeParm, dpar::DiracParam, lp::SpaceParm, ymws::YMworkspace, dws::DiracWorkspace)
|
||||
end
|
||||
|
||||
@timeit "CPU to GPU" copyto!(U,U0)
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
"""
|
||||
function bflw_step!(U, psi, eps, int::FlowIntr, gp::GaugeParm, dpar::DiracParam, lp::SpaceParm, ymws::YMworkspace, dws::DiracWorkspace)
|
||||
|
||||
Performs ONE backstep in psi, from t to t-\eps. U is supposed to be the one in t-\eps and is left unchanged. So far, int has to be rk4
|
||||
"""
|
||||
function bflw_step!(psi, U, eps, int::FlowIntr, gp::GaugeParm, dpar::DiracParam, lp::SpaceParm, ymws::YMworkspace, dws::DiracWorkspace)
|
||||
|
||||
@timeit "Backflow step" begin
|
||||
|
||||
V = copy(U)
|
||||
V .= U
|
||||
|
||||
force_gauge(ymws, U, int.c0, 1, gp, lp)
|
||||
|
||||
if int.add_zth
|
||||
add_zth_term(ymws::YMworkspace, U, lp)
|
||||
end
|
||||
|
||||
ymws.mom .= ymws.frc1
|
||||
U .= expm.(U, ymws.mom, 2*eps*int.r)
|
||||
|
||||
force_gauge(ymws, U, int.c0, 1, gp, lp)
|
||||
|
||||
if int.add_zth
|
||||
add_zth_term(ymws::YMworkspace, U, lp)
|
||||
end
|
||||
|
||||
ymws.mom .= int.e0[1].*ymws.mom .+ int.e1[1].*ymws.frc1
|
||||
U .= expm.(U, ymws.mom, 2*eps)
|
||||
|
||||
Nablanabla!(dws.sp, U, 0.75*2*eps*psi, dpar, dws, lp)
|
||||
|
||||
U .= V
|
||||
|
||||
force_gauge(ymws, U, int.c0, 1, gp, lp)
|
||||
|
||||
if int.add_zth
|
||||
add_zth_term(ymws::YMworkspace, U, lp)
|
||||
end
|
||||
|
||||
U .= expm.(U, ymws.frc1, 2*eps*int.r)
|
||||
|
||||
Nablanabla!(dws.sAp, U, 2*eps*dws.sp, dpar, dws, lp)
|
||||
dws.sAp .= psi + (8/9)*dws.sAp
|
||||
|
||||
U .= V
|
||||
|
||||
Nablanabla!(psi, U, 2*eps*(dws.sAp - (8/9)*dws.sp), dpar, dws, lp)
|
||||
psi .= (1/4)*psi + dws.sp + dws.sAp
|
||||
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
|
||||
function flw_adapt(U, psi, int::FlowIntr{NI,T}, tend::T, epsini::T, gp::GaugeParm, dpar::DiracParam, lp::SpaceParm, ymws::YMworkspace, dws::DiracWorkspace) where {NI,T}
|
||||
|
||||
eps = epsini
|
||||
dt = tend
|
||||
nstp = 0
|
||||
eps_all = Vector{T}(undef,0)
|
||||
while true
|
||||
ns = convert(Int64, floor(dt/eps))
|
||||
if ns > 10
|
||||
flw(U, psi, int, 9, eps, gp, dpar, lp, ymws, dws)
|
||||
ymws.U1 .= U
|
||||
flw(U, psi, int, 1, eps, gp, dpar, lp, ymws, dws)
|
||||
flw(ymws.U1, int, 2, eps/2, gp, lp, ymws)
|
||||
|
||||
dt = dt - 10*eps
|
||||
nstp = nstp + 10
|
||||
push!(eps_all,ntuple(i->eps,10)...)
|
||||
|
||||
# adjust step size
|
||||
ymws.U1 .= ymws.U1 ./ U
|
||||
maxd = CUDA.mapreduce(dev_one, max, ymws.U1, init=zero(tend))
|
||||
eps = min(int.max_eps, 2*eps, int.sft_fac*eps*(int.tol/maxd)^(one(tend)/3))
|
||||
|
||||
else
|
||||
flw(U, psi, int, ns, eps, gp, dpar, lp, ymws, dws)
|
||||
dt = dt - ns*eps
|
||||
|
||||
push!(eps_all,ntuple(i->eps,ns)...)
|
||||
push!(eps_all,dt)
|
||||
|
||||
flw(U, psi, int, 1, dt, gp, dpar, lp, ymws, dws)
|
||||
dt = zero(tend)
|
||||
|
||||
nstp = nstp + ns + 1
|
||||
end
|
||||
|
||||
if dt == zero(tend)
|
||||
break
|
||||
end
|
||||
end
|
||||
|
||||
return nstp, eps_all
|
||||
end
|
||||
flw_adapt(U, psi, int::FlowIntr{NI,T}, tend::T, gp::GaugeParm, dpar::DiracParam, lp::SpaceParm, ymws::YMworkspace, dws::DiracWorkspace) where {NI,T} = flw_adapt(U, psi, int, tend, int.eps_ini, gp, dpar, lp, ymws, dws)
|
||||
|
||||
|
||||
"""
|
||||
|
||||
function Nablanabla!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::SpaceParm{4,6,B,D})
|
||||
|
||||
Computes /`/` \\nabla^* \\nabla /`/` `si` and stores it in `si`.
|
||||
|
||||
"""
|
||||
function Nablanabla!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::SpaceParm{4,6,BC_PERIODIC,D}) where {D}
|
||||
@timeit "Laplacian" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_Nablanabla(so, U, si, dpar.th, lp)
|
||||
end
|
||||
end
|
||||
return nothing
|
||||
end
|
||||
function Nablanabla!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D},SpaceParm{4,6,BC_OPEN,D}}) where {D}
|
||||
SF_bndfix!(si,lp)
|
||||
@timeit "Laplacian" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_Nablanabla(so, U, si, dpar.th, lp)
|
||||
end
|
||||
end
|
||||
SF_bndfix!(so,lp)
|
||||
return nothing
|
||||
end
|
||||
|
||||
|
||||
function krnl_Nablanabla(so, U, si, th, lp::SpaceParm{4,6,BC_OPEN,D}) where {D}
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
if ((point_time((b,r),lp) != 1) && (point_time((b,r),lp) != lp.iL[end]))
|
||||
|
||||
so[b,r] = -4*si[b,r]
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
so[b,r] += 0.5*( th[1] * (U[b,1,r]*si[bu1,ru1]) +conj(th[1]) * (U[bd1,1,rd1]\si[bd1,rd1]) +
|
||||
th[2] * (U[b,2,r]*si[bu2,ru2]) +conj(th[2]) * (U[bd2,2,rd2]\si[bd2,rd2]) +
|
||||
th[3] * (U[b,3,r]*si[bu3,ru3]) +conj(th[3]) * (U[bd3,3,rd3]\si[bd3,rd3]) +
|
||||
th[4] * (U[b,4,r]*si[bu4,ru4]) +conj(th[4]) * (U[bd4,4,rd4]\si[bd4,rd4]) )
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_Nablanabla(so, U, si, th, lp::SpaceParm{4,6,BC_PERIODIC,D}) where {D}
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = -4*si[b,r]
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
so[b,r] += 0.5*( th[1] * (U[b,1,r]*si[bu1,ru1]) +conj(th[1]) * (U[bd1,1,rd1]\si[bd1,rd1]) +
|
||||
th[2] * (U[b,2,r]*si[bu2,ru2]) +conj(th[2]) * (U[bd2,2,rd2]\si[bd2,rd2]) +
|
||||
th[3] * (U[b,3,r]*si[bu3,ru3]) +conj(th[3]) * (U[bd3,3,rd3]\si[bd3,rd3]) +
|
||||
th[4] * (U[b,4,r]*si[bu4,ru4]) +conj(th[4]) * (U[bd4,4,rd4]\si[bd4,rd4]) )
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_Nablanabla(so, U, si, th, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}}) where {D}
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
if (point_time((b,r),lp) != 1)
|
||||
|
||||
so[b,r] = -4*si[b,r]
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
so[b,r] += 0.5*( th[1] * (U[b,1,r]*si[bu1,ru1]) +conj(th[1]) * (U[bd1,1,rd1]\si[bd1,rd1]) +
|
||||
th[2] * (U[b,2,r]*si[bu2,ru2]) +conj(th[2]) * (U[bd2,2,rd2]\si[bd2,rd2]) +
|
||||
th[3] * (U[b,3,r]*si[bu3,ru3]) +conj(th[3]) * (U[bd3,3,rd3]\si[bd3,rd3]) +
|
||||
th[4] * (U[b,4,r]*si[bu4,ru4]) +conj(th[4]) * (U[bd4,4,rd4]\si[bd4,rd4]) )
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
|
||||
|
||||
export Nablanabla!, flw, backflow, flw_adapt, bflw_step!
|
||||
|
||||
|
||||
"""
|
||||
function Dslash_sq!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::SpaceParm{4,6,B,D})
|
||||
|
||||
Computes /`/` //slashed{D}^2 si /`/` ans stores it in `si`.
|
||||
|
||||
"""
|
||||
function Dslash_sq!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::SpaceParm{4,6,B,D}) where {B,D}
|
||||
|
||||
@timeit "DwdagDw" begin
|
||||
|
||||
@timeit "g5Dslsh" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dslsh!(dws.st, U, si, dpar.th, lp)
|
||||
end
|
||||
end
|
||||
|
||||
if abs(dpar.csw) > 1.0E-10
|
||||
@timeit "Dw_improvement" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dslsh_impr!(dws.st, dws.csw, dpar.csw, si, lp)
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
|
||||
@timeit "g5Dslsh" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dslsh!(so, U, dws.st, dpar.th, lp)
|
||||
end
|
||||
end
|
||||
|
||||
if abs(dpar.csw) > 1.0E-10
|
||||
@timeit "Dw_improvement" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dslsh_impr!(so, dws.csw, dpar.csw, dws.st, lp)
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
|
||||
function krnl_g5Dslsh!(so, U, si, th, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}}) where {D}
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
if (point_time((b,r),lp) != 1)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = 4*si[b,r]
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
so[b,r] = dmul(Gamma{5}, so[b,r])
|
||||
end
|
||||
end
|
||||
return nothing
|
||||
end
|
||||
|
||||
|
||||
function krnl_g5Dslsh!(so, U, si, th, lp::SpaceParm{4,6,B,D}) where {D,B}
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = 4*si[b,r]
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
so[b,r] = dmul(Gamma{5}, so[b,r])
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_g5Dslsh_impr!(so, Fcsw, csw, si, lp::SpaceParm{4,6,B,D}) where {B,D}
|
||||
|
||||
@inbounds begin
|
||||
|
||||
b = Int64(CUDA.threadIdx().x);
|
||||
r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
so[b,r] += 0.5*csw*im*dmul(Gamma{5},( Fcsw[b,1,r]*dmul(Gamma{10},si[b,r]) + Fcsw[b,2,r]*dmul(Gamma{11},si[b,r]) + Fcsw[b,3,r]*dmul(Gamma{12},si[b,r])
|
||||
-Fcsw[b,4,r]*dmul(Gamma{15},si[b,r]) - Fcsw[b,5,r]*dmul(Gamma{14},si[b,r]) - Fcsw[b,6,r]*dmul(Gamma{13},si[b,r])))
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
|
||||
|
||||
function krnl_g5Dslsh_impr!(so, Fcsw, csw, si, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}}) where {D}
|
||||
|
||||
@inbounds begin
|
||||
|
||||
b = Int64(CUDA.threadIdx().x);
|
||||
r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
if (point_time((b,r),lp) != 1)
|
||||
|
||||
so[b,r] += 0.5*csw*im*dmul(Gamma{5},( Fcsw[b,1,r]*dmul(Gamma{10},si[b,r]) + Fcsw[b,2,r]*dmul(Gamma{11},si[b,r]) + Fcsw[b,3,r]*dmul(Gamma{12},si[b,r])
|
||||
-Fcsw[b,4,r]*dmul(Gamma{15},si[b,r]) - Fcsw[b,5,r]*dmul(Gamma{14},si[b,r]) - Fcsw[b,6,r]*dmul(Gamma{13},si[b,r])))
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
end
|
||||
667
src/Dirac/Diracoper.jl
Normal file
667
src/Dirac/Diracoper.jl
Normal file
|
|
@ -0,0 +1,667 @@
|
|||
|
||||
|
||||
|
||||
|
||||
## OPEN
|
||||
|
||||
"""
|
||||
function Dw!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::SpaceParm{4,6,B,D})
|
||||
|
||||
Computes the Dirac operator (with the Wilson term) `\`\``D_w``\`\` with gauge field U and parameters `dpar` of the field `si` and stores it in `so`.
|
||||
If `dpar.csw` is different from zero, the clover term should be stored in `dws.csw` via the Csw! function and is automatically included in the operator.
|
||||
|
||||
"""
|
||||
function Dw!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::SpaceParm{4,6,BC_OPEN,D}) where {D}
|
||||
|
||||
SF_bndfix!(si,lp)
|
||||
if abs(dpar.csw) > 1.0E-10
|
||||
@timeit "Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_Dwimpr!(so, U, si, dws.csw, dpar.m0, dpar.tm, dpar.th, dpar.csw, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
else
|
||||
@timeit "Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_Dw!(so, U, si, dpar.m0, dpar.tm, dpar.th, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
end
|
||||
SF_bndfix!(so,lp)
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_Dwimpr!(so, U, si, Fcsw, m0, tm, th, csw, ct, lp::SpaceParm{4,6,BC_OPEN,D}) where {D}
|
||||
|
||||
# The field si is assumed to be zero at t = 0,T
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
if ((point_time((b,r),lp) != 1) && (point_time((b,r),lp) != lp.iL[end]))
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = (4+m0)*si[b,r] + im*tm*dmul(Gamma{5},si[b,r]) + 0.5*csw*im*( Fcsw[b,1,r]*dmul(Gamma{10},si[b,r]) + Fcsw[b,2,r]*dmul(Gamma{11},si[b,r]) + Fcsw[b,3,r]*dmul(Gamma{12},si[b,r])
|
||||
+Fcsw[b,4,r]*dmul(Gamma{15},si[b,r]) + Fcsw[b,5,r]*dmul(Gamma{14},si[b,r]) + Fcsw[b,6,r]*dmul(Gamma{13},si[b,r]))
|
||||
|
||||
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
if (point_time((b,r),lp) == 2) || (point_time((b,r),lp) == (lp.iL[4]-1))
|
||||
so[b,r] += (ct-1.0)*si[b,r]
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_Dw!(so, U, si, m0, tm, th, ct, lp::SpaceParm{4,6,BC_OPEN,D}) where {D}
|
||||
|
||||
# The field si is assumed to be zero at t = 0,T
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
if ((point_time((b,r),lp) != 1) && (point_time((b,r),lp) != lp.iL[end]))
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = (4+m0)*si[b,r] + im*tm*dmul(Gamma{5},si[b,r])
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
if (point_time((b,r),lp) == 2) || (point_time((b,r),lp) == (lp.iL[4]-1))
|
||||
so[b,r] += (ct-1.0)*si[b,r]
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
|
||||
"""
|
||||
function g5Dw!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::SpaceParm{4,6,B,D})
|
||||
|
||||
Computes \`\` \\gamma_5 \`\` times the Dirac operator (with the Wilson term) with gauge field U and parameters `dpar` of the field `si` and stores it in `so`.
|
||||
If `dpar.csw` is different from zero, the clover term should be stored in `dws.csw` via the Csw! function and is automatically included in the operator.
|
||||
"""
|
||||
function g5Dw!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::SpaceParm{4,6,BC_OPEN,D}) where {D}
|
||||
|
||||
SF_bndfix!(si,lp)
|
||||
if abs(dpar.csw) > 1.0E-10
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dwimpr!(so, U, si, dws.csw, dpar.m0, dpar.tm, dpar.th, dpar.csw, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
else
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dw!(so, U, si, dpar.m0, dpar.tm, dpar.th, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
end
|
||||
SF_bndfix!(so,lp)
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_g5Dwimpr!(so, U, si, Fcsw, m0, tm, th, csw, ct, lp::SpaceParm{4,6,BC_OPEN,D}) where {D}
|
||||
|
||||
# The field si is assumed to be zero at t = 0,T
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
if ((point_time((b,r),lp) != 1) && (point_time((b,r),lp) != lp.iL[end]))
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = (4+m0)*si[b,r] + 0.5*csw*im*( Fcsw[b,1,r]*dmul(Gamma{10},si[b,r]) + Fcsw[b,2,r]*dmul(Gamma{11},si[b,r]) + Fcsw[b,3,r]*dmul(Gamma{12},si[b,r])
|
||||
+Fcsw[b,4,r]*dmul(Gamma{15},si[b,r]) + Fcsw[b,5,r]*dmul(Gamma{14},si[b,r]) + Fcsw[b,6,r]*dmul(Gamma{13},si[b,r]))
|
||||
|
||||
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
if (point_time((b,r),lp) == 2) || (point_time((b,r),lp) == (lp.iL[4]-1))
|
||||
so[b,r] += (ct-1.0)*si[b,r]
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
so[b,r] = dmul(Gamma{5}, so[b,r])+ im*tm*si[b,r]
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_g5Dw!(so, U, si, m0, tm, th, ct, lp::SpaceParm{4,6,BC_OPEN,D}) where {D}
|
||||
|
||||
# The field si is assumed to be zero at t = 0,T
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
if ((point_time((b,r),lp) != 1) && (point_time((b,r),lp) != lp.iL[end]))
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = (4+m0)*si[b,r]
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
if (point_time((b,r),lp) == 2) || (point_time((b,r),lp) == (lp.iL[4]-1))
|
||||
so[b,r] += (ct-1.0)*si[b,r]
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
so[b,r] = dmul(Gamma{5}, so[b,r]) + im*tm*si[b,r]
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
"""
|
||||
function DwdagDw!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::SpaceParm{4,6,B,D})
|
||||
|
||||
Applies the operator \`\` \\gamma_5 D_w \`\` twice to `si` and stores the result in `so`. This is equivalent to appling the operator \`\` D_w^\\dagger D_w \`\`
|
||||
The Dirac operator is the same as in the functions `Dw!` and `g5Dw!`
|
||||
"""
|
||||
function DwdagDw!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::SpaceParm{4,6,BC_OPEN,D}) where {D}
|
||||
|
||||
SF_bndfix!(si,lp)
|
||||
if abs(dpar.csw) > 1.0E-10
|
||||
@timeit "DwdagDw" begin
|
||||
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dwimpr!(dws.st, U, si, dws.csw, dpar.m0, dpar.tm, dpar.th, dpar.csw, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
SF_bndfix!(dws.st,lp)
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dwimpr!(so, U, dws.st, dws.csw, dpar.m0, -dpar.tm, dpar.th, dpar.csw, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
SF_bndfix!(so,lp)
|
||||
end
|
||||
else
|
||||
@timeit "DwdagDw" begin
|
||||
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dw!(dws.st, U, si, dpar.m0, dpar.tm, dpar.th, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
SF_bndfix!(dws.st,lp)
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dw!(so, U, dws.st, dpar.m0, -dpar.tm, dpar.th, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
SF_bndfix!(so,lp)
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
## PERDIODIC
|
||||
|
||||
function Dw!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::SpaceParm{4,6,BC_PERIODIC,D}) where {D}
|
||||
|
||||
if abs(dpar.csw) > 1.0E-10
|
||||
@timeit "Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_Dwimpr!(so, U, si, dws.csw, dpar.m0, dpar.tm, dpar.th, dpar.csw, lp)
|
||||
end
|
||||
end
|
||||
else
|
||||
@timeit "Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_Dw!(so, U, si, dpar.m0, dpar.tm, dpar.th, lp)
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_Dwimpr!(so, U, si, Fcsw, m0, tm, th, csw, lp::SpaceParm{4,6,BC_PERIODIC,D}) where {D}
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = (4+m0)*si[b,r]+ im*tm*dmul(Gamma{5},si[b,r]) + 0.5*csw*im*( Fcsw[b,1,r]*dmul(Gamma{10},si[b,r]) + Fcsw[b,2,r]*dmul(Gamma{11},si[b,r]) + Fcsw[b,3,r]*dmul(Gamma{12},si[b,r])
|
||||
+Fcsw[b,4,r]*dmul(Gamma{15},si[b,r]) + Fcsw[b,5,r]*dmul(Gamma{14},si[b,r]) + Fcsw[b,6,r]*dmul(Gamma{13},si[b,r]))
|
||||
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_Dw!(so, U, si, m0, tm, th, lp::SpaceParm{4,6,BC_PERIODIC,D}) where {D}
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = (4+m0)*si[b,r] + im*tm*dmul(Gamma{5},si[b,r])
|
||||
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function g5Dw!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::SpaceParm{4,6,BC_PERIODIC,D}) where {D}
|
||||
|
||||
if abs(dpar.csw) > 1.0E-10
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dwimpr!(so, U, si, dws.csw, dpar.m0, dpar.tm, dpar.th, dpar.csw, lp)
|
||||
end
|
||||
end
|
||||
else
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dw!(so, U, si, dpar.m0, dpar.tm, dpar.th, lp)
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_g5Dwimpr!(so, U, si, Fcsw, m0, tm, th, csw, lp::SpaceParm{4,6,BC_PERIODIC,D}) where {D}
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = (4+m0)*si[b,r] + 0.5*csw*im*( Fcsw[b,1,r]*dmul(Gamma{10},si[b,r]) + Fcsw[b,2,r]*dmul(Gamma{11},si[b,r]) + Fcsw[b,3,r]*dmul(Gamma{12},si[b,r])
|
||||
+Fcsw[b,4,r]*dmul(Gamma{15},si[b,r]) + Fcsw[b,5,r]*dmul(Gamma{14},si[b,r]) + Fcsw[b,6,r]*dmul(Gamma{13},si[b,r]))
|
||||
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
so[b,r] = dmul(Gamma{5}, so[b,r])+ im*tm*si[b,r]
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_g5Dw!(so, U, si, m0, tm, th, lp::SpaceParm{4,6,BC_PERIODIC,D}) where {D}
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = (4+m0)*si[b,r]
|
||||
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
so[b,r] = dmul(Gamma{5}, so[b,r]) + im*tm*si[b,r]
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function DwdagDw!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::SpaceParm{4,6,BC_PERIODIC,D}) where {D}
|
||||
|
||||
if abs(dpar.csw) > 1.0E-10
|
||||
@timeit "DwdagDw" begin
|
||||
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dwimpr!(dws.st, U, si, dws.csw, dpar.m0, dpar.tm, dpar.th, dpar.csw, lp)
|
||||
end
|
||||
end
|
||||
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dwimpr!(so, U, dws.st, dws.csw, dpar.m0, -dpar.tm, dpar.th, dpar.csw, lp)
|
||||
end
|
||||
end
|
||||
end
|
||||
else
|
||||
@timeit "DwdagDw" begin
|
||||
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dw!(dws.st, U, si, dpar.m0, dpar.tm, dpar.th, lp)
|
||||
end
|
||||
end
|
||||
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dw!(so, U, dws.st, dpar.m0, -dpar.tm, dpar.th, lp)
|
||||
end
|
||||
end
|
||||
end end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
## SF
|
||||
|
||||
function Dw!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}}) where {D}
|
||||
|
||||
SF_bndfix!(si,lp)
|
||||
if abs(dpar.csw) > 1.0E-10
|
||||
@timeit "Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_Dwimpr!(so, U, si, dws.csw, dpar.m0, dpar.tm, dpar.th, dpar.csw, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
else
|
||||
@timeit "Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_Dw!(so, U, si, dpar.m0, dpar.tm, dpar.th, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
end
|
||||
SF_bndfix!(so,lp)
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_Dwimpr!(so, U, si, Fcsw, m0, tm, th, csw, ct, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}}) where {D}
|
||||
|
||||
# The field si is assumed to be zero at t = 0
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
if (point_time((b,r),lp) != 1)
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = (4+m0)*si[b,r] + im*tm*dmul(Gamma{5},si[b,r]) + 0.5*csw*im*( Fcsw[b,1,r]*dmul(Gamma{10},si[b,r]) + Fcsw[b,2,r]*dmul(Gamma{11},si[b,r]) + Fcsw[b,3,r]*dmul(Gamma{12},si[b,r])
|
||||
+Fcsw[b,4,r]*dmul(Gamma{15},si[b,r]) + Fcsw[b,5,r]*dmul(Gamma{14},si[b,r]) + Fcsw[b,6,r]*dmul(Gamma{13},si[b,r]))
|
||||
|
||||
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
if (point_time((b,r),lp) == 2) || (point_time((b,r),lp) == lp.iL[4])
|
||||
so[b,r] += (ct-1.0)*si[b,r]
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_Dw!(so, U, si, m0, tm, th, ct, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}}) where {D}
|
||||
|
||||
# The field si is assumed to be zero at t = 0
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
if (point_time((b,r),lp) != 1)
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = (4+m0)*si[b,r] + im*tm*dmul(Gamma{5},si[b,r])
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
if (point_time((b,r),lp) == 2) || (point_time((b,r),lp) == lp.iL[4])
|
||||
so[b,r] += (ct-1.0)*si[b,r]
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
|
||||
function g5Dw!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}}) where {D}
|
||||
|
||||
SF_bndfix!(si,lp)
|
||||
if abs(dpar.csw) > 1.0E-10
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dwimpr!(so, U, si, dws.csw, dpar.m0, dpar.tm, dpar.th, dpar.csw, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
else
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dw!(so, U, si, dpar.m0, dpar.tm, dpar.th, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
end
|
||||
SF_bndfix!(so,lp)
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_g5Dwimpr!(so, U, si, Fcsw, m0, tm, th, csw, ct, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}}) where {D}
|
||||
|
||||
# The field si is assumed to be zero at t = 0
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
if (point_time((b,r),lp) != 1)
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = (4+m0)*si[b,r] + 0.5*csw*im*( Fcsw[b,1,r]*dmul(Gamma{10},si[b,r]) + Fcsw[b,2,r]*dmul(Gamma{11},si[b,r]) + Fcsw[b,3,r]*dmul(Gamma{12},si[b,r])
|
||||
+Fcsw[b,4,r]*dmul(Gamma{15},si[b,r]) + Fcsw[b,5,r]*dmul(Gamma{14},si[b,r]) + Fcsw[b,6,r]*dmul(Gamma{13},si[b,r]))
|
||||
|
||||
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
if (point_time((b,r),lp) == 2) || (point_time((b,r),lp) == lp.iL[4])
|
||||
so[b,r] += (ct-1.0)*si[b,r]
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
so[b,r] = dmul(Gamma{5}, so[b,r])+ im*tm*si[b,r]
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_g5Dw!(so, U, si, m0, tm, th, ct, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}}) where {D}
|
||||
|
||||
# The field si is assumed to be zero at t = 0
|
||||
|
||||
b = Int64(CUDA.threadIdx().x); r = Int64(CUDA.blockIdx().x)
|
||||
|
||||
if (point_time((b,r),lp) != 1)
|
||||
|
||||
bu1, ru1 = up((b,r), 1, lp)
|
||||
bd1, rd1 = dw((b,r), 1, lp)
|
||||
bu2, ru2 = up((b,r), 2, lp)
|
||||
bd2, rd2 = dw((b,r), 2, lp)
|
||||
bu3, ru3 = up((b,r), 3, lp)
|
||||
bd3, rd3 = dw((b,r), 3, lp)
|
||||
bu4, ru4 = up((b,r), 4, lp)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
|
||||
@inbounds begin
|
||||
|
||||
so[b,r] = (4+m0)*si[b,r]
|
||||
so[b,r] -= 0.5*(th[1]*gpmul(Pgamma{1,-1},U[b,1,r],si[bu1,ru1]) +conj(th[1])*gdagpmul(Pgamma{1,+1},U[bd1,1,rd1],si[bd1,rd1]) +
|
||||
th[2]*gpmul(Pgamma{2,-1},U[b,2,r],si[bu2,ru2]) +conj(th[2])*gdagpmul(Pgamma{2,+1},U[bd2,2,rd2],si[bd2,rd2]) +
|
||||
th[3]*gpmul(Pgamma{3,-1},U[b,3,r],si[bu3,ru3]) +conj(th[3])*gdagpmul(Pgamma{3,+1},U[bd3,3,rd3],si[bd3,rd3]) +
|
||||
th[4]*gpmul(Pgamma{4,-1},U[b,4,r],si[bu4,ru4]) +conj(th[4])*gdagpmul(Pgamma{4,+1},U[bd4,4,rd4],si[bd4,rd4]) )
|
||||
|
||||
if (point_time((b,r),lp) == 2) || (point_time((b,r),lp) == lp.iL[4])
|
||||
so[b,r] += (ct-1.0)*si[b,r]
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
so[b,r] = dmul(Gamma{5}, so[b,r]) + im*tm*si[b,r]
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function DwdagDw!(so, U, si, dpar::DiracParam, dws::DiracWorkspace, lp::Union{SpaceParm{4,6,BC_SF_ORBI,D},SpaceParm{4,6,BC_SF_AFWB,D}}) where {D}
|
||||
|
||||
SF_bndfix!(si,lp)
|
||||
if abs(dpar.csw) > 1.0E-10
|
||||
@timeit "DwdagDw" begin
|
||||
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dwimpr!(dws.st, U, si, dws.csw, dpar.m0, dpar.tm, dpar.th, dpar.csw, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
SF_bndfix!(dws.st,lp)
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dwimpr!(so, U, dws.st, dws.csw, dpar.m0, -dpar.tm, dpar.th, dpar.csw, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
SF_bndfix!(so,lp)
|
||||
end
|
||||
else
|
||||
@timeit "DwdagDw" begin
|
||||
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dw!(dws.st, U, si, dpar.m0, dpar.tm, dpar.th, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
SF_bndfix!(dws.st,lp)
|
||||
@timeit "g5Dw" begin
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_g5Dw!(so, U, dws.st, dpar.m0, -dpar.tm, dpar.th, dpar.ct, lp)
|
||||
end
|
||||
end
|
||||
SF_bndfix!(so,lp)
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
|
@ -31,7 +31,7 @@ scalar_field(::Type{T}, lp::SpaceParm) where {T} = CuArray{T, 2}(undef, lp.b
|
|||
"""
|
||||
nscalar_field(::Type{T}, n::Integer, lp::SpaceParm)
|
||||
|
||||
Returns `n` scalar fields of elemental type `T`
|
||||
Returns `n` scalar fields of elemental type `T`.
|
||||
"""
|
||||
nscalar_field(::Type{T}, n, lp::SpaceParm) where {T} = CuArray{T, 3}(undef, lp.bsz, n, lp.rsz)
|
||||
|
||||
|
|
@ -46,7 +46,7 @@ scalar_field_point(::Type{T}, lp::SpaceParm{N,M,D}) where {T,N,M,D} = CuArray{T,
|
|||
"""
|
||||
tensor_field(::Type{T}, lp::SpaceParm)
|
||||
|
||||
Returns a tensor field of elemental type `T`.
|
||||
Returns a (symmetric) tensor field of elemental type `T`.
|
||||
"""
|
||||
tensor_field(::Type{T}, lp::SpaceParm) where {T} = CuArray{T, 3}(undef, lp.bsz, lp.npls, lp.rsz)
|
||||
|
||||
|
|
|
|||
|
|
@ -1,12 +1,23 @@
|
|||
|
||||
|
||||
|
||||
"""
|
||||
struct U2alg{T} <: Algebra
|
||||
|
||||
Elements of the `U(2)` Algebra. The type `T <: AbstractFloat` can be used to define single or double precision elements.
|
||||
"""
|
||||
struct U2alg{T} <: Algebra
|
||||
u11::T
|
||||
u22::T
|
||||
u12::Complex{T}
|
||||
end
|
||||
|
||||
|
||||
"""
|
||||
antsym(a::SU2{T}) where T <: AbstractFloat
|
||||
|
||||
Returns the antisymmetrization of the SU2 element `a`, that is `\`\` `a - a^{\\dagger}` `\`. This method returns al element of `U2alg{T}`.
|
||||
"""
|
||||
function antsym(a::SU2{T}) where T <: AbstractFloat
|
||||
return U2alg{T}(2.0*imag(a.t1),-2.0*imag(a.t1),2.0*a.t2)
|
||||
end
|
||||
|
|
|
|||
|
|
@ -1,6 +1,10 @@
|
|||
|
||||
|
||||
"""
|
||||
struct U3alg{T} <: Algebra
|
||||
|
||||
Elements of the `U(3)` Algebra. The type `T <: AbstractFloat` can be used to define single or double precision elements.
|
||||
"""
|
||||
struct U3alg{T} <: Algebra
|
||||
u11::T
|
||||
u22::T
|
||||
|
|
@ -10,6 +14,11 @@ struct U3alg{T} <: Algebra
|
|||
u23::Complex{T}
|
||||
end
|
||||
|
||||
"""
|
||||
antsym(a::SU3{T}) where T <: AbstractFloat
|
||||
|
||||
Returns the antisymmetrization of the SU3 element `a`, that is `\`\` `a - a^{\\dagger}` `\`. This method returns al element of `U3alg{T}`.
|
||||
"""
|
||||
function antsym(a::SU3{T}) where T <: AbstractFloat
|
||||
t1 = 2.0*imag(a.u11)
|
||||
t2 = 2.0*imag(a.u22)
|
||||
|
|
|
|||
|
|
@ -38,7 +38,7 @@ norm2(a::SU3fund{T}) where T <: AbstractFloat = (abs2(a.t1) + abs2
|
|||
|
||||
Returns the scalar product of two fundamental elements. The convention is for the product to the linear in the second argument, and anti-linear in the first argument.
|
||||
"""
|
||||
dot(g1::SU3fund{T},g2::SU3fund{T}) where T <: AbstractFloat = conj(g1.t1)*g2.t1+g1.t2*conj(g2.t2)+g1.t3*conj(g2.t3)
|
||||
dot(g1::SU3fund{T},g2::SU3fund{T}) where T <: AbstractFloat = conj(g1.t1)*g2.t1+conj(g1.t2)*g2.t2+conj(g1.t3)*g2.t3
|
||||
|
||||
"""
|
||||
*(g::SU3{T},b::SU3fund{T})
|
||||
|
|
|
|||
|
|
@ -36,7 +36,7 @@ norm2(a::SU2{T}) where T <: AbstractFloat = abs2(a.t1) + abs2(a.t2)
|
|||
"""
|
||||
tr(g::T) where T <: Group
|
||||
|
||||
Returns the trace of the groups element `g`.
|
||||
Returns the trace of the group element `g`.
|
||||
"""
|
||||
tr(g::SU2{T}) where T <: AbstractFloat = complex(2*real(g.t1), 0.0)
|
||||
|
||||
|
|
|
|||
|
|
@ -40,25 +40,27 @@ include("YM/YM.jl")
|
|||
using .YM
|
||||
export ztwist
|
||||
export YMworkspace, GaugeParm, force0_wilson!, field, field_pln, randomize!, zero!, norm2
|
||||
export force_gauge, MD!
|
||||
export gauge_action, hamiltonian, plaquette, HMC!, OMF4!
|
||||
export Eoft_clover, Eoft_plaq, Qtop
|
||||
export FlowIntr, wfl_euler, zfl_euler, wfl_rk2, zfl_rk2, wfl_rk3, zfl_rk3
|
||||
export flw, flw_adapt
|
||||
export sfcoupling, bndfield, setbndfield
|
||||
export import_lex64, import_cern64, import_bsfqcd, save_cnfg, read_cnfg
|
||||
export import_lex64, import_cern64, import_bsfqcd, save_cnfg, read_cnfg, read_gp
|
||||
|
||||
include("Spinors/Spinors.jl")
|
||||
|
||||
using .Spinors
|
||||
export Spinor, Pgamma
|
||||
export Spinor, Pgamma, Gamma
|
||||
export imm, mimm
|
||||
export pmul, gpmul, gdagpmul, dmul
|
||||
|
||||
include("Dirac/Dirac.jl")
|
||||
using .Dirac
|
||||
export DiracWorkspace, DiracParam
|
||||
export Dw!, g5Dw!, DwdagDw!, SF_bndfix!, Csw!, pfrandomize!
|
||||
export Dw!, g5Dw!, DwdagDw!, SF_bndfix!, Csw!, pfrandomize!, mtwmdpar
|
||||
export read_prop, save_prop, read_dpar
|
||||
export Nablanabla!, flw, backflow
|
||||
|
||||
include("Solvers/Solvers.jl")
|
||||
using .Solvers
|
||||
|
|
|
|||
20
src/MD/MD.jl
20
src/MD/MD.jl
|
|
@ -24,6 +24,11 @@ const r1omf2 = 0.1931833275037836
|
|||
const r2omf2 = 0.5
|
||||
const r3omf2 = 1 - 2*r1omf2
|
||||
|
||||
"""
|
||||
struct IntrScheme{N, T}
|
||||
|
||||
Integrator for the molecular dynamics.
|
||||
"""
|
||||
struct IntrScheme{N, T}
|
||||
r::NTuple{N, T}
|
||||
eps::T
|
||||
|
|
@ -31,8 +36,23 @@ struct IntrScheme{N, T}
|
|||
end
|
||||
|
||||
|
||||
"""
|
||||
omf2(::Type{T}, eps, ns)
|
||||
|
||||
Second order Omelyan integrator with `eps` stepsize and `ns` steps.
|
||||
"""
|
||||
omf2(::Type{T}, eps, ns) where T = IntrScheme{3,T}((r1omf2,r2omf2,r3omf2), eps, ns)
|
||||
"""
|
||||
omf4(::Type{T}, eps, ns)
|
||||
|
||||
Fourth order Omelyan integrator with `eps` stepsize and `ns` steps.
|
||||
"""
|
||||
omf4(::Type{T}, eps, ns) where T = IntrScheme{6,T}((r1omf4,r2omf4,r3omf4,r4omf4,r5omf4,r6omf4), eps, ns)
|
||||
"""
|
||||
leapfrog(::Type{T}, eps, ns)
|
||||
|
||||
Leapfrog integrator with `eps` stepsize and `ns` steps.
|
||||
"""
|
||||
leapfrog(::Type{T}, eps, ns) where T = IntrScheme{2,T}((0.5,1.0), eps, ns)
|
||||
|
||||
|
||||
|
|
|
|||
|
|
@ -9,11 +9,6 @@
|
|||
### created: Tue Nov 30 11:10:57 2021
|
||||
###
|
||||
|
||||
"""
|
||||
function CG!
|
||||
|
||||
Solves the linear equation `Ax = si`
|
||||
"""
|
||||
function krnl_dot!(sum,fone,ftwo)
|
||||
b=Int64(CUDA.threadIdx().x)
|
||||
r=Int64(CUDA.blockIdx().x)
|
||||
|
|
@ -23,7 +18,7 @@ function krnl_dot!(sum,fone,ftwo)
|
|||
return nothing
|
||||
end
|
||||
|
||||
function field_dot(fone::AbstractArray,ftwo::AbstractArray,sumf,lp) where {T}
|
||||
function field_dot(fone::AbstractArray,ftwo::AbstractArray,sumf,lp)
|
||||
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_dot!(sumf,fone,ftwo)
|
||||
|
|
@ -32,6 +27,12 @@ function field_dot(fone::AbstractArray,ftwo::AbstractArray,sumf,lp) where {T}
|
|||
return sum(sumf)
|
||||
end
|
||||
|
||||
|
||||
"""
|
||||
function CG!(si, U, A, dpar::DiracParam, lp::SpaceParm, dws::DiracWorkspace{T}, maxiter::Int64 = 10, tol=1.0)
|
||||
|
||||
Solves the linear equation `Ax = si`
|
||||
"""
|
||||
function CG!(si, U, A, dpar::DiracParam, lp::SpaceParm, dws::DiracWorkspace{T}, maxiter::Int64 = 10, tol=1.0) where {T}
|
||||
|
||||
dws.sr .= si
|
||||
|
|
@ -74,4 +75,4 @@ function CG!(si, U, A, dpar::DiracParam, lp::SpaceParm, dws::DiracWorkspace{T},
|
|||
end
|
||||
|
||||
return niter
|
||||
end
|
||||
end
|
||||
|
|
|
|||
|
|
@ -5,7 +5,7 @@
|
|||
function propagator!(pro,U, dpar::DiracParam{T}, dws::DiracWorkspace, lp::SpaceParm, maxiter::Int64, tol::Float64, y::NTuple{4,Int64}, c::Int64, s::Int64)
|
||||
|
||||
Saves the fermionic progapator in pro for a source at point `y` with color `c` and spin `s`. If the last three arguments are replaced by `time::Int64`, the source is replaced
|
||||
by a random source in spin and color at t = `time`.
|
||||
by a random source in spin and color at t = `time`. Returns the number of iterations.
|
||||
|
||||
"""
|
||||
function propagator!(pro, U, dpar::DiracParam{T}, dws::DiracWorkspace, lp::SpaceParm, maxiter::Int64, tol::Float64, y::NTuple{4,Int64}, c::Int64, s::Int64) where {T}
|
||||
|
|
@ -16,19 +16,23 @@ function propagator!(pro, U, dpar::DiracParam{T}, dws::DiracWorkspace, lp::Space
|
|||
src[b,r] = dmul(Gamma{5},src[b,r])
|
||||
return nothing
|
||||
end
|
||||
|
||||
fill!(dws.sp,zero(eltype(scalar_field(Spinor{4,SU3fund{Float64}},lp))))
|
||||
|
||||
CUDA.@allowscalar dws.sp[point_index(CartesianIndex{lp.ndim}(y),lp)...] = Spinor{4,SU3fund{Float64}}(ntuple(i -> (i==s)*SU3fund{Float64}(ntuple(j -> (j==c)*1.0,3)...),4))
|
||||
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnlg5!(dws.sp)
|
||||
|
||||
@timeit "Propagator computation" begin
|
||||
|
||||
fill!(dws.sp,zero(eltype(scalar_field(Spinor{4,SU3fund{Float64}},lp))))
|
||||
|
||||
CUDA.@allowscalar dws.sp[point_index(CartesianIndex{lp.ndim}(y),lp)...] = Spinor{4,SU3fund{Float64}}(ntuple(i -> (i==s)*SU3fund{Float64}(ntuple(j -> (j==c)*1.0,3)...),4))
|
||||
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnlg5!(dws.sp)
|
||||
end
|
||||
|
||||
g5Dw!(pro,U,dws.sp,mtwmdpar(dpar),dws,lp)
|
||||
|
||||
niter = CG!(pro,U,DwdagDw!,dpar,lp,dws,maxiter,tol)
|
||||
end
|
||||
|
||||
g5Dw!(pro,U,dws.sp,dpar,dws,lp)
|
||||
|
||||
CG!(pro,U,DwdagDw!,dpar,lp,dws,maxiter,tol)
|
||||
return nothing
|
||||
|
||||
return niter
|
||||
end
|
||||
|
||||
function propagator!(pro, U, dpar::DiracParam{T}, dws::DiracWorkspace, lp::SpaceParm, maxiter::Int64, tol::Float64, time::Int64) where {T}
|
||||
|
|
@ -39,29 +43,30 @@ function propagator!(pro, U, dpar::DiracParam{T}, dws::DiracWorkspace, lp::Space
|
|||
src[b,r] = dmul(Gamma{5},src[b,r])
|
||||
return nothing
|
||||
end
|
||||
|
||||
pfrandomize!(dws.sp,lp,time)
|
||||
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnlg5!(dws.sp)
|
||||
end
|
||||
|
||||
g5Dw!(pro,U,dws.sp,dpar,dws,lp)
|
||||
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnlg5!(dws.sp)
|
||||
@timeit "Propagator computation" begin
|
||||
fill!(dws.sp,zero(eltype(scalar_field(Spinor{4,SU3fund{Float64}},lp))))
|
||||
|
||||
pfrandomize!(dws.sp,lp,time)
|
||||
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnlg5!(dws.sp)
|
||||
end
|
||||
|
||||
g5Dw!(pro,U,dws.sp,mtwmdpar(dpar),dws,lp)
|
||||
|
||||
niter = CG!(pro,U,DwdagDw!,dpar,lp,dws,maxiter,tol)
|
||||
end
|
||||
|
||||
CG!(pro,U,DwdagDw!,dpar,lp,dws,maxiter,tol)
|
||||
return nothing
|
||||
|
||||
return niter
|
||||
end
|
||||
|
||||
"""
|
||||
|
||||
function bndpropagator!(pro,U, dpar::DiracParam{T}, dws::DiracWorkspace, lp::SpaceParm{4,6,1,D}, maxiter::Int64, tol::Float64, c::Int64, s::Int64)
|
||||
|
||||
Saves the propagator in from the t=0 boundary to the bulk for the SF boundary conditions for a source with color 'c' and spin 's'. The factor c_t is included while the factor 1/sqrt(V) is not.
|
||||
For the propagator from T to the bulk, use the function Tbndpropagator(U, dpar::DiracParam{T}, dws::DiracWorkspace, lp::SpaceParm{4,6,1,D}, maxiter::Int64, tol::Float64, c::Int64, s::Int64)
|
||||
Saves the propagator from the t=0 boundary to the bulk for the SF boundary conditions for a source with color 'c' and spin 's' in 'pro'. The factor c_t is included while the factor 1/sqrt(V) is not.
|
||||
For the propagator from T to the bulk, use the function Tbndpropagator(U, dpar::DiracParam{T}, dws::DiracWorkspace, lp::SpaceParm{4,6,1,D}, maxiter::Int64, tol::Float64, c::Int64, s::Int64). Returns the number of iterations.
|
||||
|
||||
"""
|
||||
function bndpropagator!(pro, U, dpar::DiracParam{T}, dws::DiracWorkspace, lp::SpaceParm{4,6,1,D}, maxiter::Int64, tol::Float64, c::Int64, s::Int64) where {T,D}
|
||||
|
|
@ -78,35 +83,39 @@ function bndpropagator!(pro, U, dpar::DiracParam{T}, dws::DiracWorkspace, lp::Sp
|
|||
r=Int64(CUDA.blockIdx().x)
|
||||
|
||||
if (point_time((b,r),lp) == 2)
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
src[b,r] = gdagpmul(Pgamma{4,1},U[bd4,4,rd4],Spinor{4,SU3fund{Float64}}(ntuple(i -> (i==s)*SU3fund{Float64}(ntuple(j -> (j==c)*1.0,3)...),4)))/2
|
||||
bd4, rd4 = dw((b,r), 4, lp)
|
||||
src[b,r] = gdagpmul(Pgamma{4,1},U[bd4,4,rd4],Spinor{4,SU3fund{Float64}}(ntuple(i -> (i==s)*SU3fund{Float64}(ntuple(j -> (j==c)*1.0,3)...),4)))/2
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
fill!(dws.sp,zero(eltype(scalar_field(Spinor{4,SU3fund{Float64}},lp))))
|
||||
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_assign_bndsrc!(dws.sp, U, lp, c, s)
|
||||
@timeit "Propagator computation" begin
|
||||
SF_bndfix!(pro,lp)
|
||||
fill!(dws.sp,zero(eltype(scalar_field(Spinor{4,SU3fund{Float64}},lp))))
|
||||
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_assign_bndsrc!(dws.sp, U, lp, c, s)
|
||||
end
|
||||
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnlg5!(dws.sp)
|
||||
end
|
||||
|
||||
g5Dw!(pro,U,dpar.ct*dws.sp,mtwmdpar(dpar),dws,lp)
|
||||
|
||||
niter = CG!(pro,U,DwdagDw!,dpar,lp,dws,maxiter,tol)
|
||||
end
|
||||
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnlg5!(dws.sp)
|
||||
end
|
||||
|
||||
g5Dw!(pro,U,dpar.ct*dws.sp,dpar,dws,lp)
|
||||
|
||||
CG!(pro,U,DwdagDw!,dpar,lp,dws,maxiter,tol)
|
||||
return pro
|
||||
return niter
|
||||
end
|
||||
|
||||
"""
|
||||
|
||||
function Tbndpropagator(U, dpar::DiracParam{T}, dws::DiracWorkspace, lp::SpaceParm{4,6,1,D}, maxiter::Int64, tol::Float64, c::Int64, s::Int64)
|
||||
function Tbndpropagator!(pro, U, dpar::DiracParam{T}, dws::DiracWorkspace, lp::SpaceParm{4,6,1,D}, maxiter::Int64, tol::Float64, c::Int64, s::Int64)
|
||||
|
||||
Returns the propagator from the t=T boundary to the bulk for the SF boundary conditions for a source with color 'c' and spin 's'. The factor c_t is included while the factor 1/sqrt(V) is not.
|
||||
For the propagator from t=0 to the bulk, use the function bndpropagator(U, dpar::DiracParam{T}, dws::DiracWorkspace, lp::SpaceParm{4,6,1,D}, maxiter::Int64, tol::Float64, c::Int64, s::Int64)
|
||||
For the propagator from t=0 to the bulk, use the function bndpropagator(U, dpar::DiracParam{T}, dws::DiracWorkspace, lp::SpaceParm{4,6,1,D}, maxiter::Int64, tol::Float64, c::Int64, s::Int64). Returns the number of iterations.
|
||||
|
||||
"""
|
||||
function Tbndpropagator!(pro, U, dpar::DiracParam{T}, dws::DiracWorkspace, lp::SpaceParm{4,6,1,D}, maxiter::Int64, tol::Float64, c::Int64, s::Int64) where {T,D}
|
||||
|
|
@ -123,26 +132,29 @@ function Tbndpropagator!(pro, U, dpar::DiracParam{T}, dws::DiracWorkspace, lp::S
|
|||
r=Int64(CUDA.blockIdx().x)
|
||||
|
||||
if (point_time((b,r),lp) == lp.iL[end])
|
||||
src[b,r] = gpmul(Pgamma{4,-1},U[b,4,r],Spinor{4,SU3fund{Float64}}(ntuple(i -> (i==s)*SU3fund{Float64}(ntuple(j -> (j==c)*1.0,3)...),4)))/2
|
||||
src[b,r] = gpmul(Pgamma{4,-1},U[b,4,r],Spinor{4,SU3fund{Float64}}(ntuple(i -> (i==s)*SU3fund{Float64}(ntuple(j -> (j==c)*1.0,3)...),4)))/2
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
fill!(dws.sp,zero(eltype(scalar_field(Spinor{4,SU3fund{Float64}},lp))))
|
||||
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_assign_bndsrc!(dws.sp, U, lp, c, s)
|
||||
end
|
||||
|
||||
CUDA.@sync begin
|
||||
@timeit "Propagator computation" begin
|
||||
fill!(dws.sp,zero(eltype(scalar_field(Spinor{4,SU3fund{Float64}},lp))))
|
||||
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_assign_bndsrc!(dws.sp, U, lp, c, s)
|
||||
end
|
||||
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnlg5!(dws.sp)
|
||||
end
|
||||
|
||||
|
||||
g5Dw!(pro,U,dpar.ct*dws.sp,mtwmdpar(dpar),dws,lp)
|
||||
|
||||
niter = CG!(pro,U,DwdagDw!,dpar,lp,dws,maxiter,tol)
|
||||
end
|
||||
|
||||
g5Dw!(pro,U,dpar.ct*dws.sp,dpar,dws,lp)
|
||||
|
||||
CG!(pro,U,DwdagDw!,dpar,lp,dws,maxiter,tol)
|
||||
return pro
|
||||
return niter
|
||||
end
|
||||
|
||||
|
||||
|
|
|
|||
|
|
@ -26,19 +26,19 @@ This structure contains information about the lattice being simulated. The param
|
|||
- `N`: The number of dimensions
|
||||
- `M`: The number of planes (i.e. \`\` N(N-1)/2 \`\`)
|
||||
- `B`: The boundary conditions in Euclidean time. Acceptable values are
|
||||
- `BC_PERIODIC`: Periodic boundary conditions
|
||||
- `BC_SF_AFWB`: Schrödinger Funtional Aoki-Frezzoptti-Weisz Choice B.
|
||||
- `BC_SF_ORBI`: Schrödinger Funtional orbifold constructions.
|
||||
- `BC_PERIODIC`: Periodic boundary conditions.
|
||||
- `BC_SF_AFWB`: Schrödinger Functional Aoki-Frezzotti-Weisz Choice B.
|
||||
- `BC_SF_ORBI`: Schrödinger Functional orbifold constructions.
|
||||
- `BC_OPEN`: Open boundary conditions.
|
||||
|
||||
The structure conatins the following components:
|
||||
The structure contains the following components:
|
||||
- `iL`: Tuple containing the lattice length in each dimension.
|
||||
- `plidx`: The directions of each plane
|
||||
- `blk`: The block size in each each dimension
|
||||
- `rbk`: The number of blocks in each dimension
|
||||
- `bsz`: The number of points in each block
|
||||
- `rsz`: The number of blocks in the lattice
|
||||
- `ntw`: The twist tensor in each plane
|
||||
- `plidx`: The directions of each plane.
|
||||
- `blk`: The block size in each each dimension.
|
||||
- `rbk`: The number of blocks in each dimension.
|
||||
- `bsz`: The number of points in each block.
|
||||
- `rsz`: The number of blocks in the lattice.
|
||||
- `ntw`: The twist tensor in each plane.
|
||||
"""
|
||||
struct SpaceParm{N,M,B,D}
|
||||
ndim::Int64
|
||||
|
|
|
|||
|
|
@ -14,6 +14,7 @@ module Spinors
|
|||
using ..Groups
|
||||
import ..Groups.imm, ..Groups.mimm, ..Groups.norm, ..Groups.norm2, ..Groups.dot
|
||||
|
||||
|
||||
struct Spinor{NS,G}
|
||||
s::NTuple{NS,G}
|
||||
end
|
||||
|
|
@ -169,7 +170,7 @@ end
|
|||
|
||||
|
||||
"""
|
||||
gpmul(pgamma{N,S}, g::G, a::Spinor) G <: Group
|
||||
gpmul(Pgamma{N,S}, g::G, a::Spinor) G <: Group
|
||||
|
||||
Returns ``g(1+s\\gamma_N)a``
|
||||
"""
|
||||
|
|
@ -226,7 +227,7 @@ end
|
|||
end
|
||||
|
||||
"""
|
||||
gdagpmul(pgamma{N,S}, g::G, a::Spinor) G <: Group
|
||||
gdagpmul(Pgamma{N,S}, g::G, a::Spinor) G <: Group
|
||||
|
||||
Returns ``g^+ (1+s\\gamma_N)a``
|
||||
"""
|
||||
|
|
@ -284,33 +285,31 @@ end
|
|||
|
||||
|
||||
# dummy structs for dispatch:
|
||||
# Basis of \\Gamma_n
|
||||
# Basis of \\gamma_n
|
||||
struct Gamma{N}
|
||||
end
|
||||
|
||||
"""
|
||||
dmul(n::Int64, a::Spinor)
|
||||
dmul(Gamma{n}, a::Spinor)
|
||||
|
||||
Returns ``\\Gamma_n a``
|
||||
Returns ``\\gamma_n a``. Indexing for Dirac basis ``\\gamma_n``:
|
||||
|
||||
indexing for Dirac basis ``\\Gamma_n``:
|
||||
|
||||
1 gamma1
|
||||
2 gamma2
|
||||
3 gamma3
|
||||
4 gamma0
|
||||
5 gamma5
|
||||
6 gamma1 gamma5
|
||||
7 gamma2 gamma5
|
||||
8 gamma3 gamma5
|
||||
9 gamma0 gamma5
|
||||
10 sigma01
|
||||
11 sigma02
|
||||
12 sigma03
|
||||
13 sigma21
|
||||
14 sigma32
|
||||
15 sigma31
|
||||
16 identity
|
||||
1 ``\\gamma_1``;
|
||||
2 ``\\gamma_2``;
|
||||
3 ``\\gamma_3``;
|
||||
4 ``\\gamma_0``;
|
||||
5 ``\\gamma_5``;
|
||||
6 ``\\gamma_1 \\gamma_5``;
|
||||
7 ``\\gamma_2 \\gamma_5``;
|
||||
8 ``\\gamma_3 \\gamma_5``;
|
||||
9 ``\\gamma_0 \\gamma_5``;
|
||||
10 ``\\sigma_{01}``;
|
||||
11 ``\\sigma_{02}``;
|
||||
12 ``\\sigma_{03}``;
|
||||
13 ``\\sigma_{21}``;
|
||||
14 ``\\sigma_{32}``;
|
||||
15 ``\\sigma_{31}``;
|
||||
16 identity;
|
||||
|
||||
"""
|
||||
@inline dmul(::Type{Gamma{1}}, a::Spinor{NS,G}) where {NS,G} = Spinor{NS,G}((mimm(a.s[4]), mimm(a.s[3]), imm(a.s[2]), imm(a.s[1])))
|
||||
|
|
|
|||
38
src/YM/YM.jl
38
src/YM/YM.jl
|
|
@ -20,6 +20,19 @@ using ..MD
|
|||
|
||||
import Base.show
|
||||
|
||||
"""
|
||||
struct GaugeParm{T,G,N}
|
||||
|
||||
Structure containing the parameters of a pure gauge simulation. These are:
|
||||
- beta: Type `T`. The bare coupling of the simulation.
|
||||
- c0: Type `T`. LatticeGPU supports the simulation of gauge actions made of 1x1 Wilson Loops and 2x1 Wilson loops. The parameter c0 defines the coefficient on the simulation of the 1x1 loops. Some common choices are:
|
||||
- c0=1: Wilson plaquette action.
|
||||
- c0=5/3: Tree-level improved Lüscher-Weisz action.
|
||||
- c0=3.648: Iwasaki gauge action.
|
||||
- cG: Tuple (`T`, `T`). Boundary improvement parameters.
|
||||
- ng: `Int64`. Rank of the gauge group.
|
||||
- Ubnd: Boundary field for SF boundary conditions.
|
||||
"""
|
||||
struct GaugeParm{T,G,N}
|
||||
beta::T
|
||||
c0::T
|
||||
|
|
@ -63,6 +76,21 @@ function Base.show(io::IO, gp::GaugeParm{T, G, N}) where {T,G,N}
|
|||
return nothing
|
||||
end
|
||||
|
||||
"""
|
||||
struct YMworkspace{T}
|
||||
|
||||
Structure containing memory workspace that is reused by different routines in order to avoid allocating/deallocating time.
|
||||
The parameter `T` represents the precision of the simulation (i.e. single/double). The structure contains the following components
|
||||
- GRP: Group being simulated.
|
||||
- ALG: Corresponding Algebra.
|
||||
- PRC: Precision (i.e. `T`).
|
||||
- frc1: Algebra field with natural indexing.
|
||||
- frc2: Algebra field with natural indexing.
|
||||
- mom: Algebra field with natural indexing.
|
||||
- U1: Group field with natural indexing.
|
||||
- cm: Complex field with lexicographic indexing.
|
||||
- rm: Real field with lexicographic indexing.
|
||||
"""
|
||||
struct YMworkspace{T}
|
||||
GRP
|
||||
ALG
|
||||
|
|
@ -110,7 +138,11 @@ function Base.show(io::IO, ymws::YMworkspace)
|
|||
return nothing
|
||||
end
|
||||
|
||||
"""
|
||||
function ztwist(gp::GaugeParm{T,G}, lp::SpaceParm{N,M,B,D}[, ipl])
|
||||
|
||||
Returns the twist factor. If a plane index is passed, returns the twist factor as a Complex{T}. If this is not provided, returns a tuple, containing the factor of each plane.
|
||||
"""
|
||||
function ztwist(gp::GaugeParm{T,G}, lp::SpaceParm{N,M,B,D}) where {T,G,N,M,B,D}
|
||||
|
||||
function plnf(ipl)
|
||||
|
|
@ -133,10 +165,10 @@ include("YMfields.jl")
|
|||
export randomize!, zero!, norm2
|
||||
|
||||
include("YMact.jl")
|
||||
export krnl_plaq!, force0_wilson!
|
||||
export krnl_plaq!, force_gauge, force_wilson
|
||||
|
||||
include("YMhmc.jl")
|
||||
export gauge_action, hamiltonian, plaquette, HMC!, OMF4!
|
||||
export gauge_action, hamiltonian, plaquette, HMC!, MD!
|
||||
|
||||
include("YMflow.jl")
|
||||
export FlowIntr, flw, flw_adapt
|
||||
|
|
@ -147,6 +179,6 @@ include("YMsf.jl")
|
|||
export sfcoupling, bndfield, setbndfield
|
||||
|
||||
include("YMio.jl")
|
||||
export import_lex64, import_cern64, import_bsfqcd, save_cnfg, read_cnfg
|
||||
export import_lex64, import_cern64, import_bsfqcd, save_cnfg, read_cnfg, read_gp
|
||||
|
||||
end
|
||||
|
|
|
|||
942
src/YM/YMact.jl
942
src/YM/YMact.jl
File diff suppressed because it is too large
Load diff
|
|
@ -9,8 +9,14 @@
|
|||
### created: Thu Jul 15 15:16:47 2021
|
||||
###
|
||||
|
||||
function randomize!(f, lp::SpaceParm, ymws::YMworkspace; curng=CUDA.default_rng())
|
||||
|
||||
"""
|
||||
function randomize!(f, lp::SpaceParm, ymws::YMworkspace; curng=CUDA.default_rng())
|
||||
|
||||
Given an algebra field with natural indexing, this routine sets the components to random Gaussian distributed values. If SF boundary conditions are used, the force at the boundaries is set to zero.
|
||||
"""
|
||||
function randomize!(f, lp::SpaceParm, ymws::YMworkspace; curng=CUDA.default_rng())
|
||||
|
||||
if ymws.ALG == SU2alg
|
||||
@timeit "Randomize SU(2) algebra field" begin
|
||||
m = Random.randn(curng, ymws.PRC, lp.bsz,lp.ndim,3,lp.rsz)
|
||||
|
|
@ -49,31 +55,44 @@ function krnl_assign_SU3!(frc::AbstractArray{T}, m, lp::SpaceParm{N,M,BC_PERIODI
|
|||
return nothing
|
||||
end
|
||||
|
||||
function krnl_assign_SU3!(frc::AbstractArray{T}, m, lp::SpaceParm{N,M,B,D}) where {T,N,M,B,D}
|
||||
function krnl_assign_SU3!(frc::AbstractArray{T}, m, lp::SpaceParm{N,M,BC_OPEN,D}) where {T,N,M,D}
|
||||
|
||||
@inbounds begin
|
||||
b = Int64(CUDA.threadIdx().x)
|
||||
r = Int64(CUDA.blockIdx().x)
|
||||
for id in 1:lp.ndim
|
||||
frc[b,id,r] = SU3alg(m[b,id,1,r], m[b,id,2,r], m[b,id,3,r],
|
||||
m[b,id,4,r], m[b,id,5,r], m[b,id,6,r],
|
||||
m[b,id,7,r], m[b,id,8,r])
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
function krnl_assign_SU3!(frc::AbstractArray{T}, m, lp::Union{SpaceParm{N,M,BC_SF_ORBI,D},SpaceParm{N,M,BC_SF_AFWB,D}}) where {T,N,M,D}
|
||||
|
||||
@inbounds begin
|
||||
b = Int64(CUDA.threadIdx().x)
|
||||
r = Int64(CUDA.blockIdx().x)
|
||||
it = point_time((b,r), lp)
|
||||
|
||||
if ((B==BC_SF_AFWB)||(B==BC_SF_ORBI))
|
||||
if it == 1
|
||||
for id in 1:lp.ndim-1
|
||||
frc[b,id,r] = zero(T)
|
||||
end
|
||||
frc[b,N,r] = SU3alg(m[b,N,1,r], m[b,N,2,r], m[b,N,3,r],
|
||||
m[b,N,4,r], m[b,N,5,r], m[b,N,6,r],
|
||||
m[b,N,7,r], m[b,N,8,r])
|
||||
else
|
||||
for id in 1:lp.ndim
|
||||
frc[b,id,r] = SU3alg(m[b,id,1,r], m[b,id,2,r], m[b,id,3,r],
|
||||
m[b,id,4,r], m[b,id,5,r], m[b,id,6,r],
|
||||
m[b,id,7,r], m[b,id,8,r])
|
||||
end
|
||||
if it == 1
|
||||
for id in 1:lp.ndim-1
|
||||
frc[b,id,r] = zero(T)
|
||||
end
|
||||
frc[b,N,r] = SU3alg(m[b,N,1,r], m[b,N,2,r], m[b,N,3,r],
|
||||
m[b,N,4,r], m[b,N,5,r], m[b,N,6,r],
|
||||
m[b,N,7,r], m[b,N,8,r])
|
||||
else
|
||||
for id in 1:lp.ndim
|
||||
frc[b,id,r] = SU3alg(m[b,id,1,r], m[b,id,2,r], m[b,id,3,r],
|
||||
m[b,id,4,r], m[b,id,5,r], m[b,id,6,r],
|
||||
m[b,id,7,r], m[b,id,8,r])
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
|
|
|
|||
116
src/YM/YMflow.jl
116
src/YM/YMflow.jl
|
|
@ -10,6 +10,11 @@
|
|||
###
|
||||
|
||||
|
||||
"""
|
||||
struct FlowIntr{N,T}
|
||||
|
||||
Structure containing info about a particular flow integrator
|
||||
"""
|
||||
struct FlowIntr{N,T}
|
||||
r::T
|
||||
e0::NTuple{N,T}
|
||||
|
|
@ -26,11 +31,46 @@ struct FlowIntr{N,T}
|
|||
end
|
||||
|
||||
# pre-defined integrators
|
||||
"""
|
||||
wfl_euler(::Type{T}, eps::T, tol::T)
|
||||
|
||||
Euler scheme integrator for the Wilson Flow. The fixed step size is given by `eps` and the tolerance for the adaptive integrators by `tol`.
|
||||
"""
|
||||
wfl_euler(::Type{T}, eps::T, tol::T) where T = FlowIntr{0,T}(one(T),(),(),false,one(T),eps,tol,one(T)/200,one(T)/10,9/10)
|
||||
|
||||
"""
|
||||
zfl_euler(::Type{T}, eps::T, tol::T)
|
||||
|
||||
Euler scheme integrator for the Zeuthen flow. The fixed step size is given by `eps` and the tolerance for the adaptive integrators by `tol`.
|
||||
"""
|
||||
zfl_euler(::Type{T}, eps::T, tol::T) where T = FlowIntr{0,T}(one(T),(),(),true, (one(T)*5)/3,eps,tol,one(T)/200,one(T)/10,9/10)
|
||||
|
||||
"""
|
||||
wfl_rk2(::Type{T}, eps::T, tol::T)
|
||||
|
||||
Second order Runge-Kutta integrator for the Wilson flow. The fixed step size is given by `eps` and the tolerance for the adaptive integrators by `tol`.
|
||||
"""
|
||||
wfl_rk2(::Type{T}, eps::T, tol::T) where T = FlowIntr{1,T}(one(T)/2,(-one(T)/2,),(one(T),),false,one(T),eps,tol,one(T)/200,one(T)/10,9/10)
|
||||
|
||||
"""
|
||||
zfl_rk2(::Type{T}, eps::T, tol::T)
|
||||
|
||||
Second order Runge-Kutta integrator for the Zeuthen flow. The fixed step size is given by `eps` and the tolerance for the adaptive integrators by `tol`.
|
||||
"""
|
||||
zfl_rk2(::Type{T}, eps::T, tol::T) where T = FlowIntr{1,T}(one(T)/2,(-one(T)/2,),(one(T),),true, (one(T)*5)/3,eps,tol,one(T)/200,one(T)/10,9/10)
|
||||
|
||||
"""
|
||||
wfl_rk3(::Type{T}, eps::T, tol::T)
|
||||
|
||||
Third order Runge-Kutta integrator for the Wilson flow. The fixed step size is given by `eps` and the tolerance for the adaptive integrators by `tol`.
|
||||
"""
|
||||
wfl_rk3(::Type{T}, eps::T, tol::T) where T = FlowIntr{2,T}(one(T)/4,(-17/36,-one(T)),(8/9,3/4),false,one(T),eps,tol,one(T)/200,one(T)/10,9/10)
|
||||
|
||||
"""
|
||||
Zfl_rk3(::Type{T}, eps::T, tol::T)
|
||||
|
||||
Third order Runge-Kutta integrator for the Zeuthen flow. The fixed step size is given by `eps` and the tolerance for the adaptive integrators by `tol`.
|
||||
"""
|
||||
zfl_rk3(::Type{T}, eps::T, tol::T) where T = FlowIntr{2,T}(one(T)/4,(-17/36,-one(T)),(8/9,3/4),true, (one(T)*5)/3,eps,tol,one(T)/200,one(T)/10,9/10)
|
||||
|
||||
function Base.show(io::IO, int::FlowIntr{N,T}) where {N,T}
|
||||
|
|
@ -94,7 +134,8 @@ function krnl_add_zth!(frc, frc2::AbstractArray{TA}, U::AbstractArray{TG}, lp::S
|
|||
r = Int64(CUDA.blockIdx().x)
|
||||
it = point_time((b, r), lp)
|
||||
|
||||
SFBC = ((B == BC_SF_AFWB) || (B == BC_SF_ORBI) )
|
||||
SFBC = ((B == BC_SF_AFWB) || (B == BC_SF_ORBI) )
|
||||
OBC = (B == BC_OPEN)
|
||||
|
||||
@inbounds for id in 1:N
|
||||
bu, ru = up((b,r), id, lp)
|
||||
|
|
@ -112,16 +153,29 @@ function krnl_add_zth!(frc, frc2::AbstractArray{TA}, U::AbstractArray{TG}, lp::S
|
|||
frc2[b,id,r] = (5/6)*frc[b,id,r] + (1/6)*(projalg(Ud\Y*Ud) +
|
||||
projalg(U[b,id,r]*X/U[b,id,r]))
|
||||
end
|
||||
else
|
||||
end
|
||||
if OBC
|
||||
if (it > 1) && (it < lp.iL[end])
|
||||
frc2[b,id,r] = (5/6)*frc[b,id,r] + (1/6)*(projalg(Ud\Y*Ud) +
|
||||
projalg(U[b,id,r]*X/U[b,id,r]))
|
||||
elseif ((it == lp.iL[end]) || (it == 1)) && (id < N)
|
||||
frc2[b,id,r] = (5/6)*frc[b,id,r] + (1/6)*(projalg(Ud\Y*Ud) +
|
||||
projalg(U[b,id,r]*X/U[b,id,r]))
|
||||
end
|
||||
else
|
||||
frc2[b,id,r] = (5/6)*frc[b,id,r] + (1/6)*(projalg(Ud\Y*Ud) +
|
||||
projalg(U[b,id,r]*X/U[b,id,r]))
|
||||
end
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
"""
|
||||
function flw(U, int::FlowIntr{NI,T}, ns::Int64, gp::GaugeParm, lp::SpaceParm, ymws::YMworkspace)
|
||||
|
||||
Integrates the flow equations with the integration scheme defined by `int` performing `ns` steps with fixed step size. The configuration `U` is overwritten.
|
||||
"""
|
||||
function flw(U, int::FlowIntr{NI,T}, ns::Int64, eps, gp::GaugeParm, lp::SpaceParm, ymws::YMworkspace) where {NI,T}
|
||||
@timeit "Integrating flow equations" begin
|
||||
for i in 1:ns
|
||||
|
|
@ -152,21 +206,28 @@ flw(U, int::FlowIntr{NI,T}, ns::Int64, gp::GaugeParm, lp::SpaceParm, ymws::YMwor
|
|||
# Adaptive step size integrators
|
||||
##
|
||||
|
||||
"""
|
||||
function flw_adapt(U, int::FlowIntr{NI,T}, tend::T, gp::GaugeParm, lp::SpaceParm, ymws::YMworkspace)
|
||||
|
||||
Integrates the flow equations with the integration scheme defined by `int` using the adaptive step size integrator up to `tend` with the tolerance defined in `int`. The configuration `U` is overwritten.
|
||||
"""
|
||||
function flw_adapt(U, int::FlowIntr{NI,T}, tend::T, epsini::T, gp::GaugeParm, lp::SpaceParm, ymws::YMworkspace) where {NI,T}
|
||||
|
||||
eps = int.eps_ini
|
||||
eps = epsini
|
||||
dt = tend
|
||||
nstp = 0
|
||||
eps_all = Vector{T}(undef,0)
|
||||
while true
|
||||
ns = convert(Int64, floor(dt/eps))
|
||||
if ns > 10
|
||||
flw(U, int, 9, eps, gp, lp, ymws)
|
||||
ymws.U1 .= U
|
||||
flw(U, int, 2, eps/2, gp, lp, ymws)
|
||||
flw(ymws.U1, int, 1, eps, gp, lp, ymws)
|
||||
flw(U, int, 1, eps, gp, lp, ymws)
|
||||
flw(ymws.U1, int, 2, eps/2, gp, lp, ymws)
|
||||
|
||||
dt = dt - 10*eps
|
||||
nstp = nstp + 10
|
||||
push!(eps_all,ntuple(i->eps,10)...)
|
||||
|
||||
# adjust step size
|
||||
ymws.U1 .= ymws.U1 ./ U
|
||||
|
|
@ -177,6 +238,9 @@ function flw_adapt(U, int::FlowIntr{NI,T}, tend::T, epsini::T, gp::GaugeParm, lp
|
|||
flw(U, int, ns, eps, gp, lp, ymws)
|
||||
dt = dt - ns*eps
|
||||
|
||||
push!(eps_all,ntuple(i->eps,ns)...)
|
||||
push!(eps_all,dt)
|
||||
|
||||
flw(U, int, 1, dt, gp, lp, ymws)
|
||||
dt = zero(tend)
|
||||
|
||||
|
|
@ -188,7 +252,7 @@ function flw_adapt(U, int::FlowIntr{NI,T}, tend::T, epsini::T, gp::GaugeParm, lp
|
|||
end
|
||||
end
|
||||
|
||||
return nstp, eps
|
||||
return nstp, eps_all
|
||||
end
|
||||
flw_adapt(U, int::FlowIntr{NI,T}, tend::T, gp::GaugeParm, lp::SpaceParm, ymws::YMworkspace) where {NI,T} = flw_adapt(U, int, tend, int.eps_ini, gp, lp, ymws)
|
||||
|
||||
|
|
@ -201,7 +265,7 @@ flw_adapt(U, int::FlowIntr{NI,T}, tend::T, gp::GaugeParm, lp::SpaceParm, ymws::Y
|
|||
"""
|
||||
function Eoft_plaq([Eslc,] U, gp::GaugeParm, lp::SpaceParm, ymws::YMworkspace)
|
||||
|
||||
Measure the action density `E(t)` using the plaquette discretization. If the argument `Eslc`
|
||||
Measure the action density `E(t)` using the plaquette discretization. If the argument `Eslc` is given
|
||||
the contribution for each Euclidean time slice and plane are returned.
|
||||
"""
|
||||
function Eoft_plaq(Eslc, U, gp::GaugeParm{T,G,NN}, lp::SpaceParm{N,M,B,D}, ymws::YMworkspace) where {T,G,NN,N,M,B,D}
|
||||
|
|
@ -209,7 +273,8 @@ function Eoft_plaq(Eslc, U, gp::GaugeParm{T,G,NN}, lp::SpaceParm{N,M,B,D}, ymws:
|
|||
@timeit "E(t) plaquette measurement" begin
|
||||
|
||||
ztw = ztwist(gp, lp)
|
||||
SFBC = ((B == BC_SF_AFWB) || (B == BC_SF_ORBI) )
|
||||
SFBC = ((B == BC_SF_AFWB) || (B == BC_SF_ORBI) )
|
||||
OBC = (B == BC_OPEN)
|
||||
|
||||
tp = ntuple(i->i, N-1)
|
||||
V3 = prod(lp.iL[1:end-1])
|
||||
|
|
@ -230,6 +295,10 @@ function Eoft_plaq(Eslc, U, gp::GaugeParm{T,G,NN}, lp::SpaceParm{N,M,B,D}, ymws:
|
|||
if !SFBC
|
||||
Eslc[1,ipl] = Etmp[1] + Etmp[end]
|
||||
end
|
||||
if OBC ## Check normalization of timelike boundary plaquettes
|
||||
Eslc[end,ipl] = Etmp[end-1]
|
||||
Eslc[1,ipl] = Etmp[1]
|
||||
end
|
||||
else
|
||||
for it in 1:lp.iL[end]
|
||||
Eslc[it,ipl] = 2*Etmp[it]
|
||||
|
|
@ -254,7 +323,7 @@ function krnl_plaq_pln!(plx, U::AbstractArray{T}, Ubnd, ztw, ipl, lp::SpaceParm{
|
|||
I = point_coord((b,r), lp)
|
||||
|
||||
id1, id2 = lp.plidx[ipl]
|
||||
SFBC = ((B == BC_SF_AFWB) || (B == BC_SF_ORBI)) && (id1 == lp.iL[end])
|
||||
SFBC = ((B == BC_SF_AFWB) || (B == BC_SF_ORBI)) && (id1 == N)
|
||||
TWP = ((I[id1]==1)&&(I[id2]==1))
|
||||
|
||||
bu1, ru1 = up((b, r), id1, lp)
|
||||
|
|
@ -272,15 +341,13 @@ function krnl_plaq_pln!(plx, U::AbstractArray{T}, Ubnd, ztw, ipl, lp::SpaceParm{
|
|||
plx[I] = tr(U[b,id1,r]*gt / (U[b,id2,r]*U[bu2,id1,ru2]))
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
"""
|
||||
Qtop([Qslc,] U, lp, ymws)
|
||||
Qtop([Qslc,] U, gp::GaugeParm, lp::SpaceParm, ymws::YMworkspace)
|
||||
|
||||
Measure the topological charge `Q` of the configuration `U`. If the argument `Qslc` is present
|
||||
the contribution for each Euclidean time slice are returned.
|
||||
Measure the topological charge `Q` of the configuration `U` using the clover definition of the field strength tensor. If the argument `Qslc` is present the contributions for each Euclidean time slice are returned. Only works in 4D.
|
||||
"""
|
||||
function Qtop(Qslc, U, gp::GaugeParm, lp::SpaceParm{4,M,B,D}, ymws::YMworkspace) where {M,B,D}
|
||||
|
||||
|
|
@ -296,21 +363,18 @@ function Qtop(Qslc, U, gp::GaugeParm, lp::SpaceParm{4,M,B,D}, ymws::YMworkspace)
|
|||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_add_qd!(ymws.rm, -, ymws.frc1, ymws.frc2, lp)
|
||||
end
|
||||
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_field_tensor!(ymws.frc1, ymws.frc2, U, gp.Ubnd, 2,4, ztw[2], ztw[4], lp)
|
||||
end
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_add_qd!(ymws.rm, +, ymws.frc1, ymws.frc2, lp)
|
||||
end
|
||||
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_field_tensor!(ymws.frc1, ymws.frc2, U, gp.Ubnd, 3,6, ztw[3], ztw[6], lp)
|
||||
end
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnl_add_qd!(ymws.rm, -, ymws.frc1, ymws.frc2, lp)
|
||||
end
|
||||
|
||||
Qslc .= reshape(Array(CUDA.reduce(+, ymws.rm; dims=tp)),lp.iL[end])./(32*pi^2)
|
||||
end
|
||||
|
||||
|
|
@ -322,7 +386,7 @@ Qtop(U, gp::GaugeParm, lp::SpaceParm{4,M,D}, ymws::YMworkspace{T}) where {T,M,D}
|
|||
"""
|
||||
function Eoft_clover([Eslc,] U, gp::GaugeParm, lp::SpaceParm, ymws::YMworkspace)
|
||||
|
||||
Measure the action density `E(t)` using the clover discretization. If the argument `Eslc`
|
||||
Measure the action density `E(t)` using the clover discretization. If the argument `Eslc` is given
|
||||
the contribution for each Euclidean time slice and plane are returned.
|
||||
"""
|
||||
function Eoft_clover(Eslc, U, gp::GaugeParm, lp::SpaceParm{4,M,B,D}, ymws::YMworkspace{T}) where {T,M,B,D}
|
||||
|
|
@ -391,7 +455,7 @@ function krnl_add_et!(rm, frc1, lp::SpaceParm{4,M,B,D}) where {M,B,D}
|
|||
I = point_coord((b,r), lp)
|
||||
rm[I] = dot(X1,X1)
|
||||
end
|
||||
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
|
|
@ -420,6 +484,7 @@ function krnl_field_tensor!(frc1::AbstractArray{TA}, frc2, U::AbstractArray{T},
|
|||
#First plane
|
||||
id1, id2 = lp.plidx[ipl1]
|
||||
SFBC = ((B == BC_SF_AFWB) || (B == BC_SF_ORBI) ) && (id1 == 4)
|
||||
OBC = ((B == BC_OPEN) && (id1 == 4))
|
||||
TWP = ((I[id1]==1)&&(I[id2]==1))
|
||||
|
||||
bu1, ru1 = up((b, r), id1, lp)
|
||||
|
|
@ -439,6 +504,11 @@ function krnl_field_tensor!(frc1::AbstractArray{TA}, frc2, U::AbstractArray{T},
|
|||
frc1[bu1,2,ru1] = zero(TA)
|
||||
frc1[bd,3,rd] = zero(TA)
|
||||
frc1[bu2,4,ru2] = projalg(l2*l1)
|
||||
elseif OBC && (it == lp.iL[end])
|
||||
frc1[b,1,r] = projalg(U[b,id1,r]*l1/U[b,id2,r])
|
||||
frc1[bu1,2,ru1] = zero(TA)
|
||||
frc1[bd,3,rd] = zero(TA)
|
||||
frc1[bu2,4,ru2] = projalg(l2*l1)
|
||||
else
|
||||
if TWP
|
||||
frc1[b,1,r] = projalg(ztw1, U[b,id1,r]*l1/U[b,id2,r])
|
||||
|
|
@ -456,6 +526,7 @@ function krnl_field_tensor!(frc1::AbstractArray{TA}, frc2, U::AbstractArray{T},
|
|||
# Second plane
|
||||
id1, id2 = lp.plidx[ipl2]
|
||||
SFBC = ((B == BC_SF_AFWB) || (B == BC_SF_ORBI) ) && (id1 == 4)
|
||||
OBC = ((B == BC_OPEN) && (id1 == 4))
|
||||
TWP = ((I[id1]==1)&&(I[id2]==1))
|
||||
|
||||
bu1, ru1 = up((b, r), id1, lp)
|
||||
|
|
@ -475,6 +546,11 @@ function krnl_field_tensor!(frc1::AbstractArray{TA}, frc2, U::AbstractArray{T},
|
|||
frc2[bu1,2,ru1] = zero(TA)
|
||||
frc2[bd,3,rd] = zero(TA)
|
||||
frc2[bu2,4,ru2] = projalg(l2*l1)
|
||||
elseif OBC && (it == lp.iL[end])
|
||||
frc1[b,1,r] = projalg(U[b,id1,r]*l1/U[b,id2,r])
|
||||
frc1[bu1,2,ru1] = zero(TA)
|
||||
frc1[bd,3,rd] = zero(TA)
|
||||
frc1[bu2,4,ru2] = projalg(l2*l1)
|
||||
else
|
||||
if TWP
|
||||
frc2[b,1,r] = projalg(ztw2, U[b,id1,r]*l1/U[b,id2,r])
|
||||
|
|
@ -489,7 +565,5 @@ function krnl_field_tensor!(frc1::AbstractArray{TA}, frc2, U::AbstractArray{T},
|
|||
end
|
||||
end
|
||||
end
|
||||
|
||||
return nothing
|
||||
end
|
||||
|
||||
|
|
|
|||
|
|
@ -13,7 +13,7 @@
|
|||
|
||||
function gauge_action(U, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspace)
|
||||
|
||||
Returns the value of the gauge plaquette action for the configuration U. The parameters `\beta` and `c0` are taken from the `gp` structure.
|
||||
Returns the value of the gauge action for the configuration U. The parameters ``\\beta`` and `c0` are taken from the `gp` structure.
|
||||
"""
|
||||
function gauge_action(U, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspace{T}) where T <: AbstractFloat
|
||||
|
||||
|
|
@ -37,6 +37,11 @@ function gauge_action(U, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspace{T}) whe
|
|||
return S
|
||||
end
|
||||
|
||||
"""
|
||||
function plaquette(U, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspace)
|
||||
|
||||
Computes the average plaquette for the configuration `U`.
|
||||
"""
|
||||
function plaquette(U, lp::SpaceParm{N,M,B,D}, gp::GaugeParm, ymws::YMworkspace) where {N,M,B,D}
|
||||
|
||||
ztw = ztwist(gp, lp)
|
||||
|
|
@ -48,7 +53,12 @@ function plaquette(U, lp::SpaceParm{N,M,B,D}, gp::GaugeParm, ymws::YMworkspace)
|
|||
|
||||
return CUDA.mapreduce(real, +, ymws.cm)/(prod(lp.iL)*lp.npls)
|
||||
end
|
||||
|
||||
|
||||
"""
|
||||
function hamiltonian(mom, U, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspace)
|
||||
|
||||
Returns the Energy ``H = \\frac{p^2}{2}+S[U]``, where the momenta field is given by `mom` and the configuration by `U`.
|
||||
"""
|
||||
function hamiltonian(mom, U, lp, gp, ymws)
|
||||
@timeit "Computing Hamiltonian" begin
|
||||
K = CUDA.mapreduce(norm2, +, mom)/2
|
||||
|
|
@ -58,6 +68,12 @@ function hamiltonian(mom, U, lp, gp, ymws)
|
|||
return K+V
|
||||
end
|
||||
|
||||
|
||||
"""
|
||||
HMC!(U, int::IntrScheme, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspace; noacc=false, rng=Random.default_rng(), curng=CUDA.default_rng())
|
||||
|
||||
Performs a HMC step (molecular dynamics integration and accept/reject step). The configuration `U` is updated and function returns the energy violation and if the configuration was accepted in a tuple.
|
||||
"""
|
||||
function HMC!(U, int::IntrScheme, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspace{T}; noacc=false, rng=Random.default_rng(), curng=CUDA.default_rng()) where T
|
||||
|
||||
@timeit "HMC trayectory" begin
|
||||
|
|
@ -92,6 +108,11 @@ function HMC!(U, int::IntrScheme, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspac
|
|||
end
|
||||
HMC!(U, eps, ns, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspace{T}; noacc=false, rng=Random.default_rng(), curng=CUDA.default_rng()) where T = HMC!(U, omf4(T, eps, ns), lp, gp, ymws; noacc=noacc, rng, curng)
|
||||
|
||||
"""
|
||||
function MD!(mom, U, int::IntrScheme, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspace)
|
||||
|
||||
Performs the integration of a molecular dynamics trajectory starting from the momentum field `mom` and the configuration `U` according to the integrator described by `int`.
|
||||
"""
|
||||
function MD!(mom, U, int::IntrScheme{NI, T}, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspace{T}) where {NI, T <: AbstractFloat}
|
||||
|
||||
@timeit "MD evolution" begin
|
||||
|
|
|
|||
|
|
@ -75,7 +75,7 @@ function read_cnfg(fname::String)
|
|||
end
|
||||
|
||||
if ibc == BC_SF_AFWB || ibc == BC_SF_ORBI
|
||||
BDIO_read(fb, V)
|
||||
BDIO_read(fb, vec(V))
|
||||
Ubnd = ntuple(i->assign(i, V, 1), 3)
|
||||
BDIO_close!(fb)
|
||||
|
||||
|
|
@ -297,3 +297,50 @@ function import_cern64(fname, ibc, lp::SpaceParm; log=true)
|
|||
|
||||
return CuArray(Ucpu)
|
||||
end
|
||||
|
||||
|
||||
|
||||
"""
|
||||
read_gp(fname::String)
|
||||
|
||||
Reads Gauge parameters from file `fname` using the native (BDIO) format. Returns GaugeParm and SpaceParm.
|
||||
"""
|
||||
function read_gp(fname::String)
|
||||
|
||||
UID_HDR = 14
|
||||
fb = BDIO_open(fname, "r")
|
||||
while BDIO_get_uinfo(fb) != UID_HDR
|
||||
BDIO_seek!(fb)
|
||||
end
|
||||
ihdr = Vector{Int32}(undef, 2)
|
||||
BDIO_read(fb, ihdr)
|
||||
if (ihdr[1] != convert(Int32, 1653996111)) && (ihdr[2] != convert(Int32, 2))
|
||||
error("Wrong file format [header]")
|
||||
end
|
||||
|
||||
run = BDIO.BDIO_read_str(fb)
|
||||
|
||||
while BDIO_get_uinfo(fb) != 1
|
||||
BDIO_seek!(fb)
|
||||
end
|
||||
|
||||
ifoo = Vector{Int32}(undef, 4)
|
||||
BDIO_read(fb, ifoo)
|
||||
ndim = convert(Int64, ifoo[1])
|
||||
npls = convert(Int64, round(ndim*(ndim-1)/2))
|
||||
ibc = convert(Int64, ifoo[2])
|
||||
nf = ifoo[4]
|
||||
|
||||
ifoo = Vector{Int32}(undef, ndim+convert(Int32, npls))
|
||||
BDIO_read(fb, ifoo)
|
||||
iL = ntuple(i -> convert(Int64, ifoo[i]),ndim)
|
||||
ntw = ntuple(i -> convert(Int64, ifoo[i+ndim]), npls)
|
||||
|
||||
dfoo = Vector{Float64}(undef, 4)
|
||||
BDIO_read(fb, dfoo)
|
||||
|
||||
lp = SpaceParm{ndim}(iL, (4,4,4,4), ibc, ntw)
|
||||
gp = GaugeParm{Float64}(SU3{Float64}, dfoo[1], dfoo[2])
|
||||
|
||||
return gp, lp
|
||||
end
|
||||
|
|
|
|||
|
|
@ -10,9 +10,9 @@
|
|||
###
|
||||
|
||||
"""
|
||||
sfcoupling(U, lp::SpaceParm{N,M,B,D}, gp::GaugeParm, ymws::YMworkspace) where {N,M,B,D}
|
||||
sfcoupling(U, lp::SpaceParm, gp::GaugeParm, ymws::YMworkspace)
|
||||
|
||||
Measures the Schrodinger Functional coupling `ds/d\eta` and `d^2S/d\eta d\nu`.
|
||||
Measures the Schrodinger Functional coupling ``{\\rm d}S/{\\rm d}\\eta`` and ``{\\rm d}^2S/{\\rm d}\\eta d\nu``.
|
||||
"""
|
||||
function sfcoupling(U, lp::SpaceParm{N,M,B,D}, gp::GaugeParm, ymws::YMworkspace) where {N,M,B,D}
|
||||
|
||||
|
|
@ -89,7 +89,11 @@ end
|
|||
return exp(X)
|
||||
end
|
||||
|
||||
"""
|
||||
function setbndfield(U, phi, lp::SpaceParm)
|
||||
|
||||
Sets abelian boundary fields with phases `phi[1]` and `phi[2]` to the configuration `U` at time salice ``x_0=0``.
|
||||
"""
|
||||
function setbndfield(U, phi, lp::SpaceParm{N,M,B,D}) where {N,M,B,D}
|
||||
|
||||
CUDA.@sync begin
|
||||
|
|
|
|||
42
test/dirac/test_backflow.jl
Normal file
42
test/dirac/test_backflow.jl
Normal file
|
|
@ -0,0 +1,42 @@
|
|||
using CUDA
|
||||
|
||||
using Pkg
|
||||
|
||||
Pkg.activate("/home/fperez/Git/LGPU_fork_ferflow")
|
||||
|
||||
using LatticeGPU
|
||||
|
||||
lp = SpaceParm{4}((4,4,4,4),(2,2,2,2),0,(0,0,0,0,0,0));
|
||||
|
||||
pso = scalar_field(Spinor{4,SU3fund{Float64}},lp);
|
||||
psi = scalar_field(Spinor{4,SU3fund{Float64}},lp);
|
||||
psi2 = scalar_field(Spinor{4,SU3fund{Float64}},lp);
|
||||
|
||||
ymws = YMworkspace(SU3,Float64,lp);
|
||||
dws = DiracWorkspace(SU3fund,Float64,lp);
|
||||
|
||||
int = wfl_rk3(Float64, 0.01, 1.0)
|
||||
|
||||
gp = GaugeParm{Float64}(SU3{Float64},6.0,1.0,(1.0,0.0),(0.0,0.0),lp.iL)
|
||||
|
||||
dpar = DiracParam{Float64}(SU3fund,1.3,0.9,(1.0,1.0,1.0,1.0),0.0)
|
||||
|
||||
randomize!(ymws.mom, lp, ymws)
|
||||
U = exp.(ymws.mom);
|
||||
|
||||
pfrandomize!(psi,lp)
|
||||
for L in 4:19
|
||||
pso .= psi
|
||||
V = Array(U)
|
||||
a,b = flw_adapt(U, psi, int, L*int.eps, gp,dpar, lp, ymws,dws)
|
||||
# for i in 1:a
|
||||
# flw(U, psi, int, 1 ,b[i], gp, dpar, lp, ymws, dws)
|
||||
# end
|
||||
pfrandomize!(psi2,lp)
|
||||
|
||||
foo = sum(dot.(psi,psi2))# field_dot(psi,psi2,sumf,lp)
|
||||
copyto!(U,V);
|
||||
backflow(psi2,U,L*int.eps,7,gp,dpar,lp, ymws,dws)
|
||||
println("Error:",(sum(dot.(pso,psi2))-foo)/foo)
|
||||
psi .= pso
|
||||
end
|
||||
119
test/dirac/test_backflow_tl.jl
Normal file
119
test/dirac/test_backflow_tl.jl
Normal file
|
|
@ -0,0 +1,119 @@
|
|||
using LatticeGPU, CUDA, TimerOutputs
|
||||
|
||||
#Test for the relation K(t,y;0,n)^+ Dw(n|m)^{-1} e^(ipm) = D(p)^{-1} exp(4t sin^2(p/2)) e^{ipn} with a given momenta (if p=0 its randomized), spin and color
|
||||
#Kernel en 1207.2096
|
||||
|
||||
|
||||
@timeit "Plw backflow test" begin
|
||||
|
||||
function Dwpw_test(;p=0,s=1,c=1)
|
||||
lp = SpaceParm{4}((16,16,16,16), (4,4,4,4), 0, (0,0,0,0,0,0))
|
||||
gp = GaugeParm{Float64}(SU3{Float64}, 6.0, 1.0)
|
||||
dpar = DiracParam{Float64}(SU3fund,1.3,0.0,(1.0,1.0,1.0,1.0),0.0)
|
||||
dws = DiracWorkspace(SU3fund,Float64,lp);
|
||||
ymws = YMworkspace(SU3,Float64,lp);
|
||||
|
||||
p==0 ? p = Int.(round.(lp.iL.*rand(4),RoundUp)) : nothing
|
||||
U = fill!(vector_field(SU3{Float64},lp),one(SU3{Float64}))
|
||||
|
||||
rm = 2* pi* p./(lp.iL)
|
||||
rmom=(rm[1],rm[2],rm[3],rm[4])
|
||||
|
||||
int = wfl_rk3(Float64, 0.01, 1.0)
|
||||
Nsteps = 15
|
||||
|
||||
@timeit "Generate plane wave" begin
|
||||
|
||||
pwave = fill!(scalar_field(Spinor{4,SU3fund{Float64}},lp),zero(eltype(scalar_field(Spinor{4,SU3fund{Float64}},lp))))
|
||||
prop = scalar_field(Spinor{4,SU3fund{Float64}},lp)
|
||||
prop_th = fill!(scalar_field(Spinor{4,SU3fund{Float64}},lp),zero(eltype(scalar_field(Spinor{4,SU3fund{Float64}},lp))))
|
||||
|
||||
|
||||
#Generate plane wave
|
||||
|
||||
for x in 1:lp.iL[1] for y in 1:lp.iL[2] for z in 1:lp.iL[3] for t in 1:lp.iL[4]
|
||||
CUDA.@allowscalar pwave[point_index(CartesianIndex{lp.ndim}((x,y,z,t)),lp)...] = exp(im * (x*rmom[1] + y*rmom[2] + z*rmom[3] + t*rmom[4]))*Spinor{4,SU3fund{Float64}}(ntuple(i -> (i==s)*SU3fund{Float64}(ntuple(j -> (j==c)*1.0,3)...),4))
|
||||
end end end end
|
||||
|
||||
end
|
||||
|
||||
@timeit "Generate analitical solution" begin
|
||||
|
||||
#Th solution
|
||||
|
||||
if s == 1
|
||||
vals = (dpar.m0 + 4.0 - sum(cos.(rmom)),0.0,im*sin(rmom[4])+sin(rmom[3]),im*sin(rmom[2])+sin(rmom[1]))
|
||||
for x in 1:lp.iL[1] for y in 1:lp.iL[2] for z in 1:lp.iL[3] for t in 1:lp.iL[4]
|
||||
CUDA.@allowscalar prop_th[point_index(CartesianIndex{lp.ndim}((x,y,z,t)),lp)...] = exp(im * (x*rmom[1] + y*rmom[2] + z*rmom[3] + t*rmom[4]))*
|
||||
( Spinor{4,SU3fund{Float64}}(ntuple(i -> SU3fund{Float64}(ntuple(j -> (j==c)*vals[i],3)...),4)) )/(sum((sin.(rmom)) .^2) + (dpar.m0+ 4.0 - sum(cos.(rmom)))^2)
|
||||
end end end end
|
||||
elseif s == 2
|
||||
vals = (0.0,dpar.m0 + 4.0 - sum(cos.(rmom)),sin(rmom[1]) - im *sin(rmom[2]),-sin(rmom[3])+im*sin(rmom[4]))
|
||||
for x in 1:lp.iL[1] for y in 1:lp.iL[2] for z in 1:lp.iL[3] for t in 1:lp.iL[4]
|
||||
CUDA.@allowscalar prop_th[point_index(CartesianIndex{lp.ndim}((x,y,z,t)),lp)...] = exp(im * (x*rmom[1] + y*rmom[2] + z*rmom[3] + t*rmom[4]))*
|
||||
( Spinor{4,SU3fund{Float64}}(ntuple(i -> SU3fund{Float64}(ntuple(j -> (j==c)*vals[i],3)...),4)) )/(sum((sin.(rmom)) .^2) + (dpar.m0+ 4.0 - sum(cos.(rmom)))^2)
|
||||
end end end end
|
||||
elseif s == 3
|
||||
vals = (-sin(rmom[3])+im*sin(rmom[4]),-sin(rmom[1])-im*sin(rmom[2]),dpar.m0 + 4.0 - sum(cos.(rmom)),0.0)
|
||||
for x in 1:lp.iL[1] for y in 1:lp.iL[2] for z in 1:lp.iL[3] for t in 1:lp.iL[4]
|
||||
CUDA.@allowscalar prop_th[point_index(CartesianIndex{lp.ndim}((x,y,z,t)),lp)...] = exp(im * (x*rmom[1] + y*rmom[2] + z*rmom[3] + t*rmom[4]))*
|
||||
( Spinor{4,SU3fund{Float64}}(ntuple(i -> SU3fund{Float64}(ntuple(j -> (j==c)*vals[i],3)...),4)) )/(sum((sin.(rmom)) .^2) + (dpar.m0+ 4.0 - sum(cos.(rmom)))^2)
|
||||
end end end end
|
||||
else
|
||||
vals = (-sin(rmom[1])+im*sin(rmom[2]),sin(rmom[3])+im*sin(rmom[4]),0.0,dpar.m0 + 4.0 - sum(cos.(rmom)))
|
||||
for x in 1:lp.iL[1] for y in 1:lp.iL[2] for z in 1:lp.iL[3] for t in 1:lp.iL[4]
|
||||
CUDA.@allowscalar prop_th[point_index(CartesianIndex{lp.ndim}((x,y,z,t)),lp)...] = exp(im * (x*rmom[1] + y*rmom[2] + z*rmom[3] + t*rmom[4]))*
|
||||
( Spinor{4,SU3fund{Float64}}(ntuple(i -> SU3fund{Float64}(ntuple(j -> (j==c)*vals[i],3)...),4)) )/(sum((sin.(rmom)) .^2) + (dpar.m0+ 4.0 - sum(cos.(rmom)))^2)
|
||||
end end end end
|
||||
end
|
||||
|
||||
end
|
||||
|
||||
prop_th .= exp(-4*Nsteps*int.eps*sum(sin.(rmom./2).^2))*prop_th
|
||||
|
||||
|
||||
#compute Sum{x} D^-1(x|y)P(y)
|
||||
|
||||
@timeit "Solving propagator and flowing" begin
|
||||
|
||||
function krnlg5!(src)
|
||||
b=Int64(CUDA.threadIdx().x)
|
||||
r=Int64(CUDA.blockIdx().x)
|
||||
src[b,r] = dmul(Gamma{5},src[b,r])
|
||||
return nothing
|
||||
end
|
||||
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnlg5!(pwave)
|
||||
end
|
||||
g5Dw!(prop,U,pwave,dpar,dws,lp)
|
||||
CG!(prop,U,DwdagDw!,dpar,lp,dws,10000,1.0e-14)
|
||||
|
||||
for _ in 1:Nsteps
|
||||
backflow(U,prop,1,int.eps,gp,dpar,lp, ymws,dws)
|
||||
end
|
||||
end
|
||||
|
||||
|
||||
dif = sum(norm2.(prop - prop_th))
|
||||
|
||||
return dif
|
||||
end
|
||||
|
||||
|
||||
|
||||
begin
|
||||
dif = 0.0
|
||||
for i in 1:3 for j in 1:4
|
||||
dif += Dwpw_test(c=i,s=j)
|
||||
end end
|
||||
|
||||
if dif < 1.0e-5
|
||||
print("Backflow_tl test passed with average error ", dif/12,"!\n")
|
||||
else
|
||||
error("Backflow_tl test failed with difference: ",dif,"\n")
|
||||
end
|
||||
|
||||
|
||||
end
|
||||
end
|
||||
119
test/dirac/test_flow_tl.jl
Normal file
119
test/dirac/test_flow_tl.jl
Normal file
|
|
@ -0,0 +1,119 @@
|
|||
using LatticeGPU, CUDA, TimerOutputs
|
||||
|
||||
#Test for the relation K(t,y;0,n) Dw(n|m)^{-1} e^(ipm) = D(p)^{-1} exp(-4t sin^2(p/2)) e^{ipn} with a given momenta (if p=0 its randomized), spin and color
|
||||
#Kernel en 1207.2096
|
||||
|
||||
|
||||
@timeit "Plw flow test" begin
|
||||
|
||||
function Dwpw_test(;p=0,s=1,c=1)
|
||||
lp = SpaceParm{4}((16,16,16,16), (4,4,4,4), 0, (0,0,0,0,0,0))
|
||||
gp = GaugeParm{Float64}(SU3{Float64}, 6.0, 1.0)
|
||||
dpar = DiracParam{Float64}(SU3fund,1.3,0.0,(1.0,1.0,1.0,1.0),0.0)
|
||||
dws = DiracWorkspace(SU3fund,Float64,lp);
|
||||
ymws = YMworkspace(SU3,Float64,lp);
|
||||
|
||||
p==0 ? p = Int.(round.(lp.iL.*rand(4),RoundUp)) : nothing
|
||||
U = fill!(vector_field(SU3{Float64},lp),one(SU3{Float64}))
|
||||
|
||||
rm = 2* pi* p./(lp.iL)
|
||||
rmom=(rm[1],rm[2],rm[3],rm[4])
|
||||
|
||||
int = wfl_rk3(Float64, 0.01, 1.0)
|
||||
Nsteps = 15
|
||||
|
||||
@timeit "Generate plane wave" begin
|
||||
|
||||
pwave = fill!(scalar_field(Spinor{4,SU3fund{Float64}},lp),zero(eltype(scalar_field(Spinor{4,SU3fund{Float64}},lp))))
|
||||
prop = scalar_field(Spinor{4,SU3fund{Float64}},lp)
|
||||
prop_th = fill!(scalar_field(Spinor{4,SU3fund{Float64}},lp),zero(eltype(scalar_field(Spinor{4,SU3fund{Float64}},lp))))
|
||||
|
||||
|
||||
#Generate plane wave
|
||||
|
||||
for x in 1:lp.iL[1] for y in 1:lp.iL[2] for z in 1:lp.iL[3] for t in 1:lp.iL[4]
|
||||
CUDA.@allowscalar pwave[point_index(CartesianIndex{lp.ndim}((x,y,z,t)),lp)...] = exp(im * (x*rmom[1] + y*rmom[2] + z*rmom[3] + t*rmom[4]))*Spinor{4,SU3fund{Float64}}(ntuple(i -> (i==s)*SU3fund{Float64}(ntuple(j -> (j==c)*1.0,3)...),4))
|
||||
end end end end
|
||||
|
||||
end
|
||||
|
||||
@timeit "Generate analitical solution" begin
|
||||
|
||||
#Th solution
|
||||
|
||||
if s == 1
|
||||
vals = (dpar.m0 + 4.0 - sum(cos.(rmom)),0.0,im*sin(rmom[4])+sin(rmom[3]),im*sin(rmom[2])+sin(rmom[1]))
|
||||
for x in 1:lp.iL[1] for y in 1:lp.iL[2] for z in 1:lp.iL[3] for t in 1:lp.iL[4]
|
||||
CUDA.@allowscalar prop_th[point_index(CartesianIndex{lp.ndim}((x,y,z,t)),lp)...] = exp(im * (x*rmom[1] + y*rmom[2] + z*rmom[3] + t*rmom[4]))*
|
||||
( Spinor{4,SU3fund{Float64}}(ntuple(i -> SU3fund{Float64}(ntuple(j -> (j==c)*vals[i],3)...),4)) )/(sum((sin.(rmom)) .^2) + (dpar.m0+ 4.0 - sum(cos.(rmom)))^2)
|
||||
end end end end
|
||||
elseif s == 2
|
||||
vals = (0.0,dpar.m0 + 4.0 - sum(cos.(rmom)),sin(rmom[1]) - im *sin(rmom[2]),-sin(rmom[3])+im*sin(rmom[4]))
|
||||
for x in 1:lp.iL[1] for y in 1:lp.iL[2] for z in 1:lp.iL[3] for t in 1:lp.iL[4]
|
||||
CUDA.@allowscalar prop_th[point_index(CartesianIndex{lp.ndim}((x,y,z,t)),lp)...] = exp(im * (x*rmom[1] + y*rmom[2] + z*rmom[3] + t*rmom[4]))*
|
||||
( Spinor{4,SU3fund{Float64}}(ntuple(i -> SU3fund{Float64}(ntuple(j -> (j==c)*vals[i],3)...),4)) )/(sum((sin.(rmom)) .^2) + (dpar.m0+ 4.0 - sum(cos.(rmom)))^2)
|
||||
end end end end
|
||||
elseif s == 3
|
||||
vals = (-sin(rmom[3])+im*sin(rmom[4]),-sin(rmom[1])-im*sin(rmom[2]),dpar.m0 + 4.0 - sum(cos.(rmom)),0.0)
|
||||
for x in 1:lp.iL[1] for y in 1:lp.iL[2] for z in 1:lp.iL[3] for t in 1:lp.iL[4]
|
||||
CUDA.@allowscalar prop_th[point_index(CartesianIndex{lp.ndim}((x,y,z,t)),lp)...] = exp(im * (x*rmom[1] + y*rmom[2] + z*rmom[3] + t*rmom[4]))*
|
||||
( Spinor{4,SU3fund{Float64}}(ntuple(i -> SU3fund{Float64}(ntuple(j -> (j==c)*vals[i],3)...),4)) )/(sum((sin.(rmom)) .^2) + (dpar.m0+ 4.0 - sum(cos.(rmom)))^2)
|
||||
end end end end
|
||||
else
|
||||
vals = (-sin(rmom[1])+im*sin(rmom[2]),sin(rmom[3])+im*sin(rmom[4]),0.0,dpar.m0 + 4.0 - sum(cos.(rmom)))
|
||||
for x in 1:lp.iL[1] for y in 1:lp.iL[2] for z in 1:lp.iL[3] for t in 1:lp.iL[4]
|
||||
CUDA.@allowscalar prop_th[point_index(CartesianIndex{lp.ndim}((x,y,z,t)),lp)...] = exp(im * (x*rmom[1] + y*rmom[2] + z*rmom[3] + t*rmom[4]))*
|
||||
( Spinor{4,SU3fund{Float64}}(ntuple(i -> SU3fund{Float64}(ntuple(j -> (j==c)*vals[i],3)...),4)) )/(sum((sin.(rmom)) .^2) + (dpar.m0+ 4.0 - sum(cos.(rmom)))^2)
|
||||
end end end end
|
||||
end
|
||||
|
||||
end
|
||||
|
||||
prop_th .= exp(-4*Nsteps*int.eps*sum(sin.(rmom./2).^2))*prop_th
|
||||
|
||||
|
||||
#compute Sum{x} D^-1(x|y)P(y)
|
||||
|
||||
@timeit "Solving propagator and flowing" begin
|
||||
|
||||
function krnlg5!(src)
|
||||
b=Int64(CUDA.threadIdx().x)
|
||||
r=Int64(CUDA.blockIdx().x)
|
||||
src[b,r] = dmul(Gamma{5},src[b,r])
|
||||
return nothing
|
||||
end
|
||||
|
||||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnlg5!(pwave)
|
||||
end
|
||||
g5Dw!(prop,U,pwave,dpar,dws,lp)
|
||||
CG!(prop,U,DwdagDw!,dpar,lp,dws,10000,1.0e-14)
|
||||
|
||||
flw(U, prop, int, Nsteps ,int.eps, gp, dpar, lp, ymws, dws)
|
||||
end
|
||||
|
||||
|
||||
dif = sum(norm2.(prop - prop_th))
|
||||
|
||||
|
||||
return dif
|
||||
end
|
||||
|
||||
|
||||
|
||||
|
||||
begin
|
||||
dif = 0.0
|
||||
for i in 1:3 for j in 1:4
|
||||
dif += Dwpw_test(c=i,s=j)
|
||||
end end
|
||||
|
||||
if dif < 1.0e-4
|
||||
print("Flow_tl test passed with average error ", dif/12,"!\n")
|
||||
else
|
||||
error("Flow_tl test failed with difference: ",dif,"\n")
|
||||
end
|
||||
|
||||
|
||||
end
|
||||
end
|
||||
|
|
@ -2,124 +2,120 @@ using LatticeGPU
|
|||
using CUDA
|
||||
using TimerOutputs
|
||||
|
||||
|
||||
@timeit "fA_fP test" begin
|
||||
|
||||
|
||||
function fP_test(;theta = (0.5,0.7,1.0,0.0), m = 1.3, size = (8,8,8,16),prec = 1.0e-16)
|
||||
function fP_test(;theta = (0.5,0.7,1.0,0.0), m = 1.3, size = (8,8,8,16),prec = 1.0e-16)
|
||||
|
||||
@timeit "fP inversion (x12)" begin
|
||||
@timeit "fP inversion (x12)" begin
|
||||
|
||||
lp = SpaceParm{4}(size,(4,4,4,4),1,(0,0,0,0,0,0));
|
||||
exptheta = exp.(im.*theta./lp.iL);
|
||||
lp = SpaceParm{4}(size,(4,4,4,4),1,(0,0,0,0,0,0));
|
||||
exptheta = exp.(im.*theta./lp.iL);
|
||||
dpar = DiracParam{Float64}(SU3fund,m,0.0,exptheta,0.0,1.0);
|
||||
dws = DiracWorkspace(SU3fund,Float64,lp);
|
||||
|
||||
dpar = DiracParam{Float64}(SU3fund,m,0.0,exptheta,1.0);
|
||||
dws = DiracWorkspace(SU3fund,Float64,lp);
|
||||
U = fill!(vector_field(SU3{Float64},lp),one(SU3{Float64}));
|
||||
psi = scalar_field(Spinor{4,SU3fund{Float64}},lp);
|
||||
|
||||
U = fill!(vector_field(SU3{Float64},lp),one(SU3{Float64}));
|
||||
psi = scalar_field(Spinor{4,SU3fund{Float64}},lp);
|
||||
res = zeros(lp.iL[4])
|
||||
|
||||
res = zeros(lp.iL[4])
|
||||
for s in 1:4 for c in 1:3
|
||||
bndpropagator!(psi,U,dpar,dws,lp,1000,prec,c,s);
|
||||
|
||||
for s in 1:4 for c in 1:3
|
||||
bndpropagator!(psi,U,dpar,dws,lp,1000,prec,c,s);
|
||||
for t in 1:lp.iL[4]
|
||||
#for i in 1:lp.iL[1] for j in 1:lp.iL[2] for k in 1:lp.iL[3]
|
||||
i=abs(rand(Int))%lp.iL[1] +1;j=abs(rand(Int))%lp.iL[2] +1;k=abs(rand(Int))%lp.iL[3] +1;
|
||||
CUDA.@allowscalar (res[t] += norm2(psi[point_index(CartesianIndex{lp.ndim}((i,j,k,t)),lp)...])/2)
|
||||
#end end end
|
||||
#res[t] = res[t]/(lp.iL[1]*lp.iL[2]*lp.iL[3])
|
||||
|
||||
for t in 1:lp.iL[4]
|
||||
#for i in 1:lp.iL[1] for j in 1:lp.iL[2] for k in 1:lp.iL[3]
|
||||
i=abs(rand(Int))%lp.iL[1] +1;j=abs(rand(Int))%lp.iL[2] +1;k=abs(rand(Int))%lp.iL[3] +1;
|
||||
CUDA.@allowscalar (res[t] += norm2(psi[point_index(CartesianIndex{lp.ndim}((i,j,k,t)),lp)...])/2)
|
||||
#end end end
|
||||
#res[t] = res[t]/(lp.iL[1]*lp.iL[2]*lp.iL[3])
|
||||
end
|
||||
|
||||
end end
|
||||
|
||||
end
|
||||
|
||||
@timeit "fP analitical solution" begin
|
||||
|
||||
#THEORETICAL SOLUTION: hep-lat/9606016 eq (2.33)
|
||||
|
||||
res_th = zeros(lp.iL[4])
|
||||
|
||||
pp3 = ntuple(i -> theta[i]/lp.iL[i],3)
|
||||
omega = 2 * asinh(0.5* sqrt(( sum((sin.(pp3)).^2) + (m + 2*(sum((sin.(pp3./2)).^2) ))^2) / (1+m+2*(sum((sin.(pp3./2)).^2) )) ) )
|
||||
pp = (-im*omega,pp3...)
|
||||
Mpp = m + 2* sum((sin.(pp./2)).^2)
|
||||
Rpp = Mpp*(1-exp(-2*omega*lp.iL[4])) + sinh(omega) * (1+exp(-2*omega*lp.iL[4]))
|
||||
|
||||
for i in 2:lp.iL[4]
|
||||
res_th[i] = (2*3*sinh(omega)/(Rpp^2)) * ( (Mpp + sinh(omega))*exp(-2*omega*(i-1)) - (Mpp - sinh(omega))*exp(-2*omega*(2*lp.iL[4]- (i - 1))) )
|
||||
end
|
||||
|
||||
end
|
||||
return sum(abs.(res-res_th))
|
||||
|
||||
end
|
||||
|
||||
end end
|
||||
function fA_test(;theta = (0.5,0.7,1.0,0.0), m = 1.3, size = (8,8,8,16),prec = 1.0e-16)
|
||||
|
||||
end
|
||||
@timeit "fA inversion (x12)" begin
|
||||
|
||||
@timeit "fP analitical solution" begin
|
||||
lp = SpaceParm{4}(size,(4,4,4,4),1,(0,0,0,0,0,0));
|
||||
exptheta = exp.(im.*theta./lp.iL);
|
||||
|
||||
#THEORETICAL SOLUTION: hep-lat/9606016 eq (2.33)
|
||||
dpar = DiracParam{Float64}(SU3fund,m,0.0,exptheta,0.0,1.0);
|
||||
dws = DiracWorkspace(SU3fund,Float64,lp);
|
||||
|
||||
res_th = zeros(lp.iL[4])
|
||||
U = fill!(vector_field(SU3{Float64},lp),one(SU3{Float64}));
|
||||
psi = scalar_field(Spinor{4,SU3fund{Float64}},lp);
|
||||
|
||||
pp3 = ntuple(i -> theta[i]/lp.iL[i],3)
|
||||
omega = 2 * asinh(0.5* sqrt(( sum((sin.(pp3)).^2) + (m + 2*(sum((sin.(pp3./2)).^2) ))^2) / (1+m+2*(sum((sin.(pp3./2)).^2) )) ) )
|
||||
pp = (-im*omega,pp3...)
|
||||
Mpp = m + 2* sum((sin.(pp./2)).^2)
|
||||
Rpp = Mpp*(1-exp(-2*omega*lp.iL[4])) + sinh(omega) * (1+exp(-2*omega*lp.iL[4]))
|
||||
res = im*zeros(lp.iL[4])
|
||||
|
||||
for i in 2:lp.iL[4]
|
||||
res_th[i] = (2*3*sinh(omega)/(Rpp^2)) * ( (Mpp + sinh(omega))*exp(-2*omega*(i-1)) - (Mpp - sinh(omega))*exp(-2*omega*(2*lp.iL[4]- (i - 1))) )
|
||||
end
|
||||
for s in 1:4 for c in 1:3
|
||||
bndpropagator!(psi,U,dpar,dws,lp,1000,prec,c,s);
|
||||
|
||||
end
|
||||
return sum(abs.(res-res_th))
|
||||
|
||||
end
|
||||
|
||||
function fA_test(;theta = (0.5,0.7,1.0,0.0), m = 1.3, size = (8,8,8,16),prec = 1.0e-16)
|
||||
|
||||
@timeit "fA inversion (x12)" begin
|
||||
|
||||
lp = SpaceParm{4}(size,(4,4,4,4),1,(0,0,0,0,0,0));
|
||||
exptheta = exp.(im.*theta./lp.iL);
|
||||
|
||||
dpar = DiracParam{Float64}(SU3fund,m,0.0,exptheta,1.0);
|
||||
dws = DiracWorkspace(SU3fund,Float64,lp);
|
||||
|
||||
U = fill!(vector_field(SU3{Float64},lp),one(SU3{Float64}));
|
||||
psi = scalar_field(Spinor{4,SU3fund{Float64}},lp);
|
||||
|
||||
res = im*zeros(lp.iL[4])
|
||||
|
||||
for s in 1:4 for c in 1:3
|
||||
bndpropagator!(psi,U,dpar,dws,lp,1000,prec,c,s);
|
||||
|
||||
for t in 1:lp.iL[4]
|
||||
#for i in 1:lp.iL[1] for j in 1:lp.iL[2] for k in 1:lp.iL[3]
|
||||
for t in 1:lp.iL[4]
|
||||
#for i in 1:lp.iL[1] for j in 1:lp.iL[2] for k in 1:lp.iL[3]
|
||||
i=abs(rand(Int))%lp.iL[1] +1;j=abs(rand(Int))%lp.iL[2] +1;k=abs(rand(Int))%lp.iL[3] +1;
|
||||
CUDA.@allowscalar (res[t] += -dot(psi[point_index(CartesianIndex{lp.ndim}((i,j,k,t)),lp)...],dmul(Gamma{4},psi[point_index(CartesianIndex{lp.ndim}((i,j,k,t)),lp)...]))/2)
|
||||
#end end end
|
||||
#res[t] = res[t]/(lp.iL[1]*lp.iL[2]*lp.iL[3])
|
||||
|
||||
#end end end
|
||||
#res[t] = res[t]/(lp.iL[1]*lp.iL[2]*lp.iL[3])
|
||||
|
||||
end
|
||||
|
||||
end end
|
||||
|
||||
end
|
||||
|
||||
end end
|
||||
|
||||
end
|
||||
#THEORETICAL SOLUTION: hep-lat/9606016 eq (2.32)
|
||||
|
||||
@timeit "fA analitical solution" begin
|
||||
res_th = zeros(lp.iL[4])
|
||||
|
||||
pp3 = ntuple(i -> theta[i]/lp.iL[i],3)
|
||||
omega = 2 * asinh(0.5* sqrt(( sum((sin.(pp3)).^2) + (m + 2*(sum((sin.(pp3./2)).^2) ))^2) / (1+m+2*(sum((sin.(pp3./2)).^2) )) ) )
|
||||
pp = (-im*omega,pp3...)
|
||||
Mpp = m + 2* sum((sin.(pp./2)).^2)
|
||||
Rpp = Mpp*(1-exp(-2*omega*lp.iL[4])) + sinh(omega) * (1+exp(-2*omega*lp.iL[4]))
|
||||
|
||||
for i in 2:lp.iL[4]
|
||||
res_th[i] = (6/(Rpp^2)) * ( 2*(Mpp - sinh(omega))*(Mpp + sinh(omega))*exp(-2*omega*lp.iL[4])
|
||||
- Mpp*((Mpp + sinh(omega))*exp(-2*omega*(i-1)) + (Mpp - sinh(omega))*exp(-2*omega*(2*lp.iL[4]- (i - 1)))))
|
||||
#THEORETICAL SOLUTION: hep-lat/9606016 eq (2.32)
|
||||
|
||||
@timeit "fA analitical solution" begin
|
||||
res_th = zeros(lp.iL[4])
|
||||
|
||||
pp3 = ntuple(i -> theta[i]/lp.iL[i],3)
|
||||
omega = 2 * asinh(0.5* sqrt(( sum((sin.(pp3)).^2) + (m + 2*(sum((sin.(pp3./2)).^2) ))^2) / (1+m+2*(sum((sin.(pp3./2)).^2) )) ) )
|
||||
pp = (-im*omega,pp3...)
|
||||
Mpp = m + 2* sum((sin.(pp./2)).^2)
|
||||
Rpp = Mpp*(1-exp(-2*omega*lp.iL[4])) + sinh(omega) * (1+exp(-2*omega*lp.iL[4]))
|
||||
|
||||
for i in 2:lp.iL[4]
|
||||
res_th[i] = (6/(Rpp^2)) * ( 2*(Mpp - sinh(omega))*(Mpp + sinh(omega))*exp(-2*omega*lp.iL[4])
|
||||
- Mpp*((Mpp + sinh(omega))*exp(-2*omega*(i-1)) + (Mpp - sinh(omega))*exp(-2*omega*(2*lp.iL[4]- (i - 1)))))
|
||||
end
|
||||
|
||||
end
|
||||
return sum(abs.(res-res_th))
|
||||
end
|
||||
|
||||
end
|
||||
|
||||
return sum(abs.(res-res_th))
|
||||
|
||||
end
|
||||
|
||||
|
||||
difA = fA_test();
|
||||
difP = fP_test();
|
||||
difA = fA_test();
|
||||
difP = fP_test();
|
||||
|
||||
if difA > 1.0e-15
|
||||
error("fA test failed with error ", difA)
|
||||
elseif difP > 1.0e-15
|
||||
error("fP test failed with error ", difP)
|
||||
else
|
||||
print("fA & fP tests passed with errors: ", difA," and ",difP,"!\n")
|
||||
end
|
||||
if difA > 1.0e-15
|
||||
error("fA test failed with error ", difA)
|
||||
elseif difP > 1.0e-15
|
||||
error("fP test failed with error ", difP)
|
||||
else
|
||||
print("fA & fP tests passed with errors: ", difA," and ",difP,"!\n")
|
||||
end
|
||||
|
||||
end
|
||||
|
|
|
|||
|
|
@ -7,7 +7,7 @@ using LatticeGPU, CUDA, TimerOutputs
|
|||
function Dwpw_test(;p=0,s=1,c=1)
|
||||
lp = SpaceParm{4}((16,16,16,16), (4,4,4,4), 0, (0,0,0,0,0,0))
|
||||
gp = GaugeParm{Float64}(SU3{Float64}, 6.0, 1.0)
|
||||
dpar = DiracParam{Float64}(SU3fund,1.3,0.0,(1.0,1.0,1.0,1.0),0.0)
|
||||
dpar = DiracParam{Float64}(SU3fund,1.3,0.0,(1.0,1.0,1.0,1.0),0.0,0.0)
|
||||
dws = DiracWorkspace(SU3fund,Float64,lp);
|
||||
|
||||
p==0 ? p = Int.(round.(lp.iL.*rand(4),RoundUp)) : nothing
|
||||
|
|
@ -96,15 +96,15 @@ end
|
|||
|
||||
|
||||
begin
|
||||
dif = 0.0
|
||||
diff = 0.0
|
||||
for i in 1:3 for j in 1:4
|
||||
dif += Dwpw_test(c=i,s=j)
|
||||
global diff += Dwpw_test(c=i,s=j)
|
||||
end end
|
||||
|
||||
if dif < 1.0e-15
|
||||
print("Dwpl test passed with average error ", dif/12,"!\n")
|
||||
if diff < 1.0e-15
|
||||
print("Dwpl test passed with average error ", diff/12,"!\n")
|
||||
else
|
||||
error("Dwpl test failed with difference: ",dif,"\n")
|
||||
error("Dwpl test failed with difference: ",diff,"\n")
|
||||
end
|
||||
|
||||
|
||||
|
|
|
|||
|
|
@ -9,7 +9,7 @@ using CUDA, LatticeGPU, TimerOutputs
|
|||
lp = SpaceParm{4}((16,16,16,16), (4,4,4,4), 0, (0,0,0,0,0,0))
|
||||
gp = GaugeParm{Float64}(SU3{Float64}, 6.0, 1.0)
|
||||
ymws = YMworkspace(SU3, Float64, lp)
|
||||
dpar = DiracParam{Float64}(SU3fund,2.3,0.0,(1.0,1.0,1.0,1.0),0.0)
|
||||
dpar = DiracParam{Float64}(SU3fund,2.3,0.0,(1.0,1.0,1.0,1.0),0.0,0.0)
|
||||
dws = DiracWorkspace(SU3fund,Float64,lp);
|
||||
|
||||
randomize!(ymws.mom, lp, ymws)
|
||||
|
|
@ -32,7 +32,8 @@ end
|
|||
CUDA.@sync begin
|
||||
CUDA.@cuda threads=lp.bsz blocks=lp.rsz krnlg5!(rpsi)
|
||||
end
|
||||
g5Dw!(prop,U,rpsi,dpar,dws,lp)
|
||||
|
||||
g5Dw!(prop,U,rpsi,mtwmdpar(dpar),dws,lp)
|
||||
CG!(prop,U,DwdagDw!,dpar,lp,dws,10000,1.0e-14)
|
||||
|
||||
Dw!(dws.sp,U,prop,dpar,dws,lp)
|
||||
|
|
|
|||
|
|
@ -1,3 +1,6 @@
|
|||
|
||||
#include("SAD/test_sad.jl")
|
||||
include("SAD/test_sad.jl")
|
||||
include("flow/test_adapt.jl")
|
||||
include("dirac/test_fp_fa.jl")
|
||||
include("dirac/test_solver_plw.jl")
|
||||
include("dirac/test_solver_rand.jl")
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue