def mk_eig(gf, job_tag, inv_type):
timer = q.Timer(f"py:mk_eig({job_tag},{inv_type})", True)
timer.start()
gpt_gf = g.convert(qg.gpt_from_qlat(gf), g.single)
parity = g.odd
params = get_lanc_params(job_tag, inv_type)
q.displayln_info(f"mk_eig: job_tag={job_tag} inv_type={inv_type}")
q.displayln_info(f"mk_eig: params={params}")
fermion_params = params["fermion_params"]
if "omega" in fermion_params:
qm = g.qcd.fermion.zmobius(gpt_gf, fermion_params)
else:
qm = g.qcd.fermion.mobius(gpt_gf, fermion_params)
w = g.qcd.fermion.preconditioner.eo2_ne(parity=parity)(qm)
def make_src(rng):
src = g.vspincolor(w.F_grid_eo)
# src[:] = g.vspincolor([[1, 1, 1], [1, 1, 1], [1, 1, 1], [1, 1, 1]])
rng.cnormal(src)
src.checkerboard(parity)
return src
pit = g.algorithms.eigen.power_iteration(**params["pit_params"])
pit_ev, _, _ = pit(w.Mpc, make_src(g.random("lanc")))
q.displayln_info(f"mk_eig: pit_ev={pit_ev}")
#
cheby = g.algorithms.polynomial.chebyshev(params["cheby_params"])
irl = g.algorithms.eigen.irl(params["irl_params"])
evec, ev = irl(cheby(w.Mpc), make_src(g.random("lanc")))
evals = g.algorithms.eigen.evals(w.Mpc, evec, check_eps2=1e-6, real=True)
g.mem_report()
#
timer.stop()
return evec, evals
def perform(self, root):
global basis_size, sloppy_per_job, T, current_config, compress_ratio
if current_config is not None and current_config.conf_file != self.conf_file:
current_config = None
if current_config is None:
current_config = config(self.conf_file)
U = current_config.U
reduced_mpi = [x for x in U[0].grid.mpi]
for i in range(len(reduced_mpi)):
if reduced_mpi[i] % 2 == 0:
reduced_mpi[i] //= 2
# create random selection of points with same spatial sites on each sink time slice
# use different spatial sites for each source time-slice
# this should be optimal for the local operator insertions
rng = g.random(f"sparse2_{self.conf}_{self.t}")
grid = U[0].grid
t0 = grid.ldimensions[3] * grid.processor_coor[3]
t1 = t0 + grid.ldimensions[3]
spatial_sites = int(compress_ratio * np.prod(grid.ldimensions[0:3]))
spatial_coordinates = rng.choice(g.coordinates(U[0]), spatial_sites)
local_coordinates = np.repeat(spatial_coordinates, t1 - t0, axis=0)
for t in range(t0, t1):
local_coordinates[t - t0::t1 - t0, 3] = t
sdomain = g.domain.sparse(current_config.l_exact.U_grid,
local_coordinates)
half_peramb = {"sparse_domain": sdomain}
for i0 in range(0, basis_size, sloppy_per_job):
for l in g.load(
f"{root}/{self.conf}/pm_{self.solver}_t{self.t}_i{i0}/propagators"
):
for x in l:
S = sdomain.lattice(l[x].otype)
sdomain.project(S, l[x])
half_peramb[x] = S
g.message(x)
g.save(
f"{root}/{self.name}/propagators",
half_peramb,
g.format.gpt({"mpi": reduced_mpi}),
)
#!/usr/bin/env python3
#
# Authors: Christoph Lehner 2020
#
import gpt as g
import numpy as np
# load configuration
# U = g.load("/hpcgpfs01/work/clehner/configs/openQCD/A250t000n54")
U = g.qcd.gauge.random(g.grid([24, 24, 24, 32], g.double), g.random("T"))
# do everything in single-precision
U = g.convert(U, g.single)
# use the gauge configuration grid
grid = U[0].grid
L = np.array(grid.fdimensions)
# quark
w = g.qcd.fermion.wilson_clover(
U,
{
"kappa": 0.137,
"csw_r": 0,
"csw_t": 0,
"xi_0": 1,
"nu": 1,
"isAnisotropic": False,
"boundary_phases": [1.0, 1.0, 1.0, -1.0],
},
)
#!/usr/bin/env python3
#
# Authors: Christoph Lehner 2020
#
# Desc.: Test basic QIS interface
#
import gpt as g
import numpy as np
from gpt.qis.gate import *
# need a random number generator for measurements
r = g.random("qis_test", "vectorized_ranlux24_24_64")
n = g.default.get_int("--n", 16)
N = g.default.get_int("--N", 10)
for precision in [g.single, g.double]:
g.mem_report()
for q in [g.qis.backends.dynamic]: # g.qis.backends.static,
g.message(f"""
Run tests with
{n} qubits
{precision.__name__} precision
{q.__name__} backend
""")
stR = q.state(r, n, precision=precision)
stR.randomize()
def __call__(self, mat, src, ckpt=None):
# verbosity
verbose = g.default.is_verbose("irl")
# checkpointer
if ckpt is None:
ckpt = g.checkpointer_none()
ckpt.grid = src.grid
self.ckpt = ckpt
# first approximate largest eigenvalue
pit = g.algorithms.eigen.power_iteration(eps=0.05, maxiter=10, real=True)
lambda_max = pit(mat, src)[0]
# parameters
Nm = self.params["Nm"]
Nu = self.params["Nu"]
Nk = self.params["Nk"]
Nstop = self.params["Nstop"]
Np = Nm-Nk
MaxIter=self.params["maxiter"]
Np /= MaxIter
assert Nm >= Nk and Nstop <= Nk
print ( 'Nm=',Nm,'Nu=',Nu,'Nk=',Nk )
# tensors
dtype = np.float64
ctype = np.complex128
lme = np.zeros((Nu,Nm), ctype)
lmd = np.zeros((Nu,Nm), ctype)
lme2 = np.zeros((Nu,Nm), ctype)
lmd2 = np.empty((Nu,Nm), ctype)
Qt = np.zeros((Nm,Nm),ctype)
Q = np.zeros((Nm,Nm),ctype)
ev = np.empty((Nm,), dtype)
ev2_copy = np.empty((Nm,), dtype)
# fields
f = g.lattice(src)
v = g.lattice(src)
evec = [g.lattice(src) for i in range(Nm)]
w = [g.lattice(src) for i in range(Nu)]
w_copy = [g.lattice(src) for i in range(Nu)]
# advice memory storage
if not self.params["advise"] is None:
g.advise(evec, self.params["advise"])
# scalars
k1 = 1
k2 = Nk
beta_k = 0.0
rng=g.random("test")
# set initial vector
# rng.zn(w)
for i in range(Nu):
rng.zn(w[i])
if i > 0:
g.orthogonalize(w[i],evec[0:i])
evec[i]=g.copy(w[i])
evec[i] *= 1.0/ g.norm2(evec[i]) ** 0.5
g.message("norm(evec[%d]=%e "%(i,g.norm2(evec[i])))
if i > 0:
for j in range(i):
ip=g.innerProduct(evec[j],w[i])
if np.abs(ip) >1e-6:
g.message("inner(evec[%d],w[%d])=%e %e"% (j,i,ip.real,ip.imag))
# evec[i] @= src[i] / g.norm2(src[i]) ** 0.5
# initial Nk steps
Nblock_k = int(Nk/Nu)
for b in range(Nblock_k):
self.blockStep(mat, lmd, lme, evec, w, w_copy, Nm, b,Nu)
Nblock_p = int(Np/Nu)
# restarting loop
# for it in range(self.params["maxiter"]):
for it in range(MaxIter):
if verbose:
g.message("Restart iteration %d" % it)
Nblock_l = Nblock_k + it*Nblock_p;
Nblock_r = Nblock_l + Nblock_p;
Nl = Nblock_l*Nu
Nr = Nblock_r*Nu
# ev2.resize(Nr)
ev2 = np.empty((Nr,), dtype)
for b in range(Nblock_l, Nblock_r):
self.blockStep(mat, lmd, lme, evec, w, w_copy, Nm, b,Nu)
for u in range(Nu):
for k in range(Nr):
lmd2[u,k]=lmd[u,k]
lme2[u,k]=lme[u,k]
Qt = np.identity(Nr, ctype)
# diagonalize
t0 = g.time()
# self.diagonalize(ev2, lme2, Nm, Qt)
self.diagonalize(ev2,lmd2,lme2,Nu,Nr,Qt)
# def diagonalize(self, eval, lmd, lme, Nu, Nk, Nm, Qt):
t1 = g.time()
if verbose:
g.message("Diagonalization took %g s" % (t1 - t0))
# sort
ev2_copy = ev2.copy()
ev2 = list(reversed(sorted(ev2)))
for i in range(Nr):
g.message("Rval[%d]= %e"%(i,ev2[i]))
# rotate
# t0 = g.time()
# g.rotate(evec, Qt, k1 - 1, k2 + 1, 0, Nm)
# t1 = g.time()
# if verbose:
# g.message("Basis rotation took %g s" % (t1 - t0))
# convergence test
if it >= self.params["Nminres"]:
if verbose:
g.message("Rotation to test convergence")
# diagonalize
for k in range(Nr):
ev2[k] = ev[k]
# lme2[k] = lme[k]
for u in range(Nu):
for k in range(Nr):
lmd2[u,k]=lmd[u,k]
lme2[u,k]=lme[u,k]
Qt = np.identity(Nm, ctype)
t0 = g.time()
# self.diagonalize(ev2, lme2, Nk, Qt)
self.diagonalize(ev2,lmd2,lme2,Nu,Nr,Qt)
t1 = g.time()
if verbose:
g.message("Diagonalization took %g s" % (t1 - t0))
B = g.copy(evec[0])
allconv = True
if beta_k >= self.params["betastp"]:
jj = 1
while jj <= Nstop:
j = Nstop - jj
g.linear_combination(B, evec[0:Nr], Qt[j, 0:Nr])
g.message("norm=%e"%(g.norm2(B)))
B *= 1.0 / g.norm2(B) ** 0.5
if not ckpt.load(v):
mat(v, B)
ckpt.save(v)
ev_test = g.innerProduct(B, v).real
eps2 = g.norm2(v - ev_test * B) / lambda_max ** 2.0
if verbose:
g.message(
"%-65s %-45s %-50s"
% (
"ev[ %d ] = %s" % (j, ev2_copy[j]),
"<B|M|B> = %s" % (ev_test),
"|M B - ev B|^2 / ev_max^2 = %s" % (eps2),
)
)
if eps2 > self.params["resid"]:
allconv = False
if jj == Nstop:
break
jj = min([Nstop, 2 * jj])
if allconv:
if verbose:
g.message("Converged in %d iterations" % it)
break
t0 = g.time()
g.rotate(evec, Qt, 0, Nstop, 0, Nk)
t1 = g.time()
if verbose:
g.message("Final basis rotation took %g s" % (t1 - t0))
return (evec[0:Nstop], ev2_copy[0:Nstop])
prop_l_sloppy = l_exact.propagator(light_sloppy_inverter).grouped(6)
prop_l_exact = l_exact.propagator(light_exact_inverter).grouped(6)
# show available memory
g.mem_report(details=False)
# per job
for group, job, conf, jid, n in run_jobs:
g.message(f"""
Job {jid} / {n} : configuration {conf}, job tag {job}
""")
job_seed = job.split("_correlated")[0]
rng = g.random(f"hvp-conn-a2a-ensemble-{conf}-{job_seed}")
source_positions_low = [[
rng.uniform_int(min=0, max=L[i] - 1) for i in range(4)
] for j in range(jobs[job]["low"])]
source_positions_sloppy = [[
rng.uniform_int(min=0, max=L[i] - 1) for i in range(4)
] for j in range(jobs[job]["sloppy"])]
source_positions_exact = [[
rng.uniform_int(min=0, max=L[i] - 1) for i in range(4)
] for j in range(jobs[job]["exact"])]
all_time_slices = jobs[job]["all_time_slices"]
use_source_time_slices = source_time_slices
if not all_time_slices:
use_source_time_slices = 1
#!/usr/bin/env python3
#
# Authors: Christoph Lehner 2020
#
# Desc.: Illustrate core concepts and features
#
import gpt as g
import numpy as np
import sys, cmath
# load configuration
rng = g.random("test")
L = [8, 8, 8, 16]
U = g.qcd.gauge.random(g.grid(L, g.double), rng)
# do everything in single-precision
U = g.convert(U, g.single)
# plaquette
g.message("Plaquette:", g.qcd.gauge.plaquette(U))
# use the gauge configuration grid
grid = U[0].grid
# wilson parameters
p = {
"kappa":
0.137,
"csw_r":
0.0,
"csw_t":
#!/usr/bin/env python3
import gpt as g
import numpy as np
import os, sys
rng = g.random("test")
# cold start
U = g.qcd.gauge.unit(g.grid([48, 48, 48, 192], g.double))
latest_it = None
it0 = 0
dst = g.default.get("--root", None)
N = 4000
for it in range(N):
if os.path.exists(f"{dst}/ckpoint_lat.{it}"):
latest_it = it
if latest_it is not None:
g.copy(U, g.load(f"{dst}/ckpoint_lat.{latest_it}"))
rng = g.random(f"test{dst}{latest_it}", "vectorized_ranlux24_24_64")
it0 = latest_it + 1
# gauge field obc
def project_open_bc(f):
f[3][:, :, :, f[3].grid.gdimensions[3] - 1] = 0
return f
project_open_bc(U)
#!/usr/bin/env python3
#
# Authors: Christoph Lehner 2020
#
# Desc.: Test basic QIS interface
#
import gpt as g
import numpy as np
from gpt.qis.gate import *
# need a random number generator for measurements
r = g.random("qis_test")
n = g.default.get_int("--n", 16)
N = g.default.get_int("--N", 10)
for precision in [g.single, g.double]:
for q in [g.qis.backends.static, g.qis.backends.dynamic]:
g.message(f"""
Run tests with
{n} qubits
{precision.__name__} precision
{q.__name__} backend
""")
stR = q.state(r, n, precision=precision)
stR.randomize()
#!/usr/bin/env python3
#
# Authors: Christoph Lehner 2020
#
# Benchmark Matrix Multiplication
#
import gpt as g
# mute random number generation
g.default.set_verbose("random", False)
rng = g.random("benchmark")
# main test loop
for precision in [g.single, g.double]:
grid = g.grid(g.default.get_ivec("--grid", [16, 16, 16, 32], 4), precision)
N = 10
Nwarmup = 5
g.message(f"""
Matrix Multiply Benchmark with
fdimensions : {grid.fdimensions}
precision : {precision.__name__}
""")
# Source and destination
for tp in [
g.ot_matrix_color(3),
g.ot_matrix_spin(4),
g.ot_matrix_spin_color(4, 3)
]:
one = g.lattice(grid, tp)
two = g.lattice(grid, tp)
########################################################
# staggered parameters
p = {
"mass": 0,
"mu5": 1,
"hop": 0,
"boundary_phases": [1.0, 1.0, 1.0, 1.0],
}
# grid (each dimension must be at least 4 to get correct sum rule)
L = [8, 4, 4, 4]
grid_dp = g.grid(L, g.double)
grid_sp = g.grid(L, g.single)
# SU(2) fundamental
U = g.qcd.gauge.random(grid_sp,
g.random("test"),
otype=g.ot_matrix_su2_fundamental())
ev = run_test(U)
# SU(2) adjoint
U = g.qcd.gauge.random(grid_sp,
g.random("test"),
otype=g.ot_matrix_su2_adjoint())
run_test(U)
# SU(3) fundamental
U = g.qcd.gauge.random(grid_sp, g.random("test"))
run_test(U)
#!/usr/bin/env python3
#
# Authors: Christoph Lehner 2020
#
# Desc.: Test polynomials
#
import gpt as g
import numpy as np
# grid & rng
grid = g.grid([8, 8, 8, 16], g.double)
rng = g.random("rng")
# chebyshev scalar function against operator function
N = 10
low = 0.1
high = 0.78
hard_code_T = {
5:
lambda x: 5.0 * x - 20.0 * x**3.0 + 16.0 * x**5.0,
8:
lambda x: 1.0 - 32.0 * x**2.0 + 160.0 * x**4.0 - 256.0 * x**6.0 + 128.0 * x
**8.0,
}
for order in hard_code_T.keys():
g.message(f"Cheby tests with low = {low}, high = {high}, order = {order}")
c = g.algorithms.polynomial.chebyshev(low=low, high=high, order=order)
# check scalar/lattice/hard_coded
for val in [rng.uniform_real() for i in range(N)]:
random = {p_rng_seed}
Note: convergence is only guaranteed for sufficiently small step parameter.
""")
if p_source is None:
g.message("Need to provide source file")
sys.exit(1)
if p_mpi_split is None:
g.message("Need to provide mpi_split")
sys.exit(1)
# create rng if needed
rng = None if p_rng_seed is None else g.random(p_rng_seed)
# load source
U = g.load(p_source)
# split in time
Nt = U[0].grid.gdimensions[3]
g.message(f"Separate {Nt} time slices")
Usep = [g.separate(u, 3) for u in U[0:3]]
Vt = [g.mcolor(Usep[0][0].grid) for t in range(Nt)]
cache = {}
split_grid = Usep[0][0].grid.split(p_mpi_split, Usep[0][0].grid.fdimensions)
g.message("Split grid")
Usep_split = [g.split(Usep[mu], split_grid, cache) for mu in range(3)]
Vt_split = g.split(Vt, split_grid, cache)
#!/usr/bin/env python3
#
# Authors: Daniel Richtmann 2020
# Christoph Lehner 2020
#
# Desc.: Check correctness of chiral splitting
#
import gpt as g
import numpy as np
# define grids
grid = g.grid([8, 8, 8, 8], g.double)
# setup rng
rng = g.random("ducks_smell_funny")
# size of basis
nbasis_f = 30
nbasis_c = 40
nb_f = nbasis_f // 2
nb_c = nbasis_c // 2
# setup fine basis
basis_ref_f = [g.vspincolor(grid) for __ in range(nb_f)]
basis_split_f = [g.vspincolor(grid) for __ in range(nbasis_f)]
rng.cnormal(basis_ref_f)
# setup coarse basis
basis_ref_c = [g.vcomplex(grid, nbasis_f) for __ in range(nb_c)]
basis_split_c = [g.vcomplex(grid, nbasis_f) for __ in range(nbasis_c)]
rng.cnormal(basis_ref_c)
return 1
#################################################################
# test sum rules for different gauge groups and representations #
#################################################################
# staggered parameters
p = {
"mass": .897,
"hop": 1,
"mu5": complex(1.23, .537),
"boundary_phases": [1.0, 1.0, 1.0, 1.0],
}
# grid (each dimension must be at least 4 to get correct sum rule)
L = [8, 4, 4, 4]
grid_dp = g.grid(L, g.double)
# SU(2) fundamental
U = g.qcd.gauge.random(grid_dp, g.random("test"), otype=g.ot_matrix_su2_fundamental())
test_sumrule(U, p)
# SU(2) adjoint
U = g.qcd.gauge.random(grid_dp, g.random("test"), otype=g.ot_matrix_su2_adjoint())
test_sumrule(U, p)
# SU(3) fundamental
U = g.qcd.gauge.random(grid_dp, g.random("test"))
test_sumrule(U, p)
#!/usr/bin/env python3
#
# Authors: Christoph Lehner 2020
#
# Benchmark RNG
#
import gpt as g
g.default.set_verbose("random", False)
for engine in ["vectorized_ranlux24_24_64", "vectorized_ranlux24_389_64"]:
rng = g.random("benchmark", engine)
for precision in [g.single, g.double]:
grid = g.grid(g.default.get_ivec("--grid", [16, 16, 16, 32], 4),
precision)
g.message(f"""
Benchmark RNG engine {engine} in {precision.__name__} precision
""")
for lattice in [g.complex, g.vspincolor, g.mspincolor]:
# Source and destination
dst = lattice(grid)
# random source
for i in range(3):
t0 = g.time()
rng.uniform_real(dst)
#!/usr/bin/env python3
#
# Authors: Christoph Lehner 2020
#
# Benchmark Dslash
#
import gpt as g
g.default.set_verbose("random", False)
rng = g.random("benchmark", "vectorized_ranlux24_24_64"
) # faster rng sufficient for benchmarking purposes
for precision in [g.single, g.double]:
grid = g.grid(g.default.get_ivec("--grid", [16, 16, 16, 32], 4), precision)
N = g.default.get_int("--N", 1000)
Ls = g.default.get_int("--Ls", 8)
g.message(f"""
DWF Dslash Benchmark with
fdimensions : {grid.fdimensions}
precision : {precision.__name__}
Ls : {Ls}
""")
# Use Mobius operator
qm = g.qcd.fermion.mobius(
g.qcd.gauge.random(grid, rng, scale=0.5),
{
"mass": 0.08,
"M5": 1.8,
"b": 1.5,
"c": 0.5,
#!/usr/bin/env python3
#
# Authors: Christoph Lehner, Mattia Bruno 2021
#
import gpt as g
import numpy
import sys
# grid
grid = g.grid([8, 8, 8, 8], g.double)
rng = g.random("scalar!")
phi = g.real(grid)
rng.element(phi)
actions = [
g.qcd.scalar.action.mass_term(),
g.qcd.scalar.action.phi4(0.119, 0.01)
]
for a in actions:
g.message(a.__name__)
a.assert_gradient_error(rng, phi, phi, 1e-5, 1e-7)
#!/usr/bin/env python3
#
# Authors: Christoph Lehner, Mattia Bruno 2021
#
# HMC for phi^4 scalar theory
#
import gpt as g
import sys, os
import numpy
beta = g.default.get_float("--beta", 5.96)
g.default.set_verbose("omf4")
grid = g.grid([8, 8, 8, 16], g.double)
rng = g.random("hmc-pure-gauge")
U = g.qcd.gauge.unit(grid)
rng.normal_element(U)
# conjugate momenta
mom = g.group.cartesian(U)
# Log
g.message(f"Lattice = {grid.fdimensions}")
g.message("Actions:")
# action for conj. momenta
a0 = g.qcd.scalar.action.mass_term()
g.message(f" - {a0.__name__}")
# wilson action
#!/usr/bin/env python3
import gpt as g
grid = g.grid([8, 8, 8, 16], g.double)
rng = g.random("d")
prop = g.mspincolor(grid)
rng.cnormal(prop)
w = g.qcd.wick()
x, y = w.coordinate(2)
ud_propagators = {
(x, y): prop[0, 0, 0, 0],
(y, x): g(g.gamma[5] * g.adj(prop[0, 0, 0, 0]) * g.gamma[5]),
}
u = w.fermion(ud_propagators)
d = w.fermion(ud_propagators)
s = w.fermion(ud_propagators)
na = w.color_index()
nalpha, nbeta = w.spin_index(2)
C = 1j * g.gamma[1].tensor() * g.gamma[3].tensor()
Cg5 = w.spin_matrix(C * g.gamma[5].tensor())
Pp = w.spin_matrix((g.gamma["I"].tensor() + g.gamma[3].tensor()) * 0.5)
#####
# Baryon tests
#!/usr/bin/env python3
#
# Authors: Christoph Lehner 2020
#
# Desc.: Illustrate core concepts and features
#
import gpt as g
import numpy as np
import sys
# load configuration
U = g.qcd.gauge.random(g.grid([8, 8, 8, 8], g.single), g.random("test"))
# wilson
w = g.qcd.fermion.wilson_clover(
U,
{
"kappa": 0.137,
"csw_r": 0,
"csw_t": 0,
"xi_0": 1,
"nu": 1,
"isAnisotropic": False,
"boundary_phases": [1.0, 1.0, 1.0, 1.0],
},
)
expected_largest_eigenvalue = 7.437868841644861 + 0.012044335728622612j
# start vector
start = g.vspincolor(w.F_grid)
#!/usr/bin/env python3
#
# Authors: Christoph Lehner, Mattia Bruno 2021
#
import gpt as g
import numpy
import sys
# grid
grid = g.grid([4, 4, 4, 8], g.single)
rng = g.random("3.14")
# we generate data with probability \prod_i dx_i exp(-\sum x_i^2)
x = g.real(grid)
x[:] = 0
dx = g.lattice(x)
metropolis = g.algorithms.markov.metropolis(rng)
def measure(x):
return [g.sum(x).real / grid.fsites, g.norm2(x) / grid.fsites]
eps = 0.08
for i in range(10):
rng.uniform_element(dx)
trial = metropolis(x)
f_before = g.norm2(x)
x += eps * dx
# Authors: Christoph Lehner 2020
#
# Desc.: Test small core features that are not sufficiently complex
# to require a separate test file. These tests need to be fast.
#
import gpt as g
import numpy as np
import sys, cgpt
# grid
L = [16, 16, 16, 32]
grid_dp = g.grid(L, g.double)
grid_sp = g.grid(L, g.single)
# test fields
l_dp = g.random("test").cnormal(g.vcolor(grid_dp))
l_sp = g.convert(l_dp, g.single)
################################################################################
# Test mview
################################################################################
c = g.coordinates(l_dp)
x = l_dp[c]
mv = g.mview(x)
assert mv.itemsize == 1 and mv.shape[0] == len(mv)
assert sys.getrefcount(x) == 3
del mv
assert sys.getrefcount(x) == 2
################################################################################
# Test assignments
#!/usr/bin/env python3
#
# Authors: Christoph Lehner, Mattia Bruno 2021
#
# HMC for phi^4 scalar theory
#
import gpt as g
import sys, os
import numpy
grid = g.grid([16, 16, 16, 16], g.double)
rng = g.random("hmc-phi4")
phi = g.real(grid)
rng.element(phi, scale=0.2)
# conjugate momenta
mom = g.group.cartesian(phi)
# action for conj. momenta
g.message(f"Lattice = {grid.fdimensions}")
g.message("Actions:")
a0 = g.qcd.scalar.action.mass_term()
g.message(f" - {a0.__name__}")
# phi^4 action
kappa = 0.1119
l = 0.01234
a1 = g.qcd.scalar.action.phi4(kappa, l)
g.message(f" - {a1.__name__}")
g.message(f"phi4 mass = {a1.kappa_to_mass(kappa, l, grid.nd)}")
#!/usr/bin/env python3
#
# Authors: Christoph Lehner 2020
#
# Desc.: Illustrate core concepts and features
#
import gpt as g
import numpy as np
import sys
grid_dp = g.grid([8, 4, 4, 4], g.double)
grid_sp = g.grid([8, 4, 4, 4], g.single)
rng = g.random("block_seed_string_13")
for grid, prec in [(grid_dp, 1e-28), (grid_sp, 1e-14)]:
U = g.qcd.gauge.random(grid, rng, scale=10)
g.message(g.qcd.gauge.plaquette(U))
for i in range(4):
test = g.norm2(g.adj(U[i]) * U[i] -
g.qcd.gauge.unit(grid)[0]) / g.norm2(U[i])
g.message(test)
assert test < prec
rng = g.random("block_seed_string_13")
n = 10000
res = {}
for i in range(n):
z = rng.zn()
if z not in res:
res[z] = 0
res[z] += 1
assert cb in [g.even, g.odd]
cbgrid = g.grid(
grid.gdimensions,
grid.precision,
g.redblack,
parent=grid.parent,
mpi=grid.mpi,
)
cbfield = g.vspincolor(cbgrid)
g.pick_checkerboard(cb, cbfield, field)
return cbfield
# setup silent rng, mute
g.default.set_verbose("random", False)
rng = g.random("openqcd_dslash")
# fermion operator params
wc_params = {
"kappa": 0.13500,
"csw_r": 1.978,
"csw_t": 1.978,
"cF": 1.3,
"xi_0": 1,
"nu": 1,
"isAnisotropic": False,
"boundary_phases": [1.0, 1.0, 1.0, 0.0],
}
# workdir
if "WORK_DIR" in os.environ:
#!/usr/bin/env python3
#
# Authors: Daniel Richtmann 2020
# Christoph Lehner 2020
#
# Desc.: Test multigrid for clover
#
import gpt as g
import numpy as np
# setup rng, mute
g.default.set_verbose("random", False)
rng = g.random("test_mg")
# adjust volume for mpi layout of test
L = [8, 8, 8, 16]
mpi = g.default.get_ivec("--mpi", [1, 1, 1, 1], 4)
simd = [1, 2, 2, 2]
l = [L[i] // mpi[i] // simd[i] for i in range(4)]
l_min = [4, 4, 4, 4]
for i in range(4):
if l[i] < l_min[i]:
L[i] *= l_min[i] // l[i]
g.message(f"Run with L = {L}")
# setup gauge field
U = g.qcd.gauge.random(g.grid(L, g.single), rng)
# quark
w = g.qcd.fermion.wilson_clover(
U,
#!/usr/bin/env python3
#
# Authors: Christoph Lehner, Tilo Wettig 2020
#
import gpt as g
import numpy as np
import sys
# grid
L = [8, 8, 8, 8]
grid = g.grid(L, g.single)
grid_eo = g.grid(L, g.single, g.redblack)
# cold start
g.default.push_verbose("random", False)
rng = g.random("test", "vectorized_ranlux24_24_64")
U = [g.complex(grid) for i in range(4)]
for mu in range(len(U)):
U[mu][:] = 1
# red/black mask
mask_rb = g.complex(grid_eo)
mask_rb[:] = 1
# full mask
mask = g.complex(grid)
# simple plaquette action
def staple(U, mu):
st = g.lattice(U[0])
#!/usr/bin/env python3
#
# Authors: Christoph Lehner 2020
#
# Desc.: Illustrate core concepts and features
#
import gpt as g
import numpy as np
import sys
import time
# load configuration
# U = g.load("/hpcgpfs01/work/clehner/configs/16I_0p01_0p04/ckpoint_lat.IEEE64BIG.1100")
rng = g.random("test")
U = g.qcd.gauge.random(g.grid([8, 8, 8, 8], g.double), rng, scale=0.5)
g.message("Plaquette:", g.qcd.gauge.plaquette(U))
# do everything in single-precision
U = g.convert(U, g.single)
# use the gauge configuration grid
grid = U[0].grid
# mobius <> zmobius domain wall quark
mobius_params = {
"mass": 0.08,
"M5": 1.8,
"b": 1.5,
"c": 0.5,
"Ls": 12,
"boundary_phases": [1.0, 1.0, 1.0, 1.0],
#!/usr/bin/env python3
#
# Authors: Daniel Richtmann 2020
# Christoph Lehner 2020
#
# Desc.: Exercise linear solvers
#
import gpt as g
import numpy as np
import sys
import time
import os.path
# load configuration
precision = g.double
U = g.qcd.gauge.random(g.grid([8, 8, 8, 16], precision), g.random("test"))
# use the gauge configuration grid
grid = U[0].grid
# quark
w = g.qcd.fermion.wilson_clover(
U,
{
"kappa": 0.13565,
"csw_r": 2.0171 / 2.0, # for now test with very heavy quark
"csw_t": 2.0171 / 2.0,
"xi_0": 1,
"nu": 1,
"isAnisotropic": False,
"boundary_phases": [1.0, 1.0, 1.0, 1.0],