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make argument order consistent for overloads of fat7lDeriv
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# C.T. Peterson: force test inspired from conversation with Peter Boyle | ||
# See Grid implementation here: | ||
# -https://github.com/paboyle/Grid/blob/develop/tests/forces/Test_bdy.cc | ||
import qex | ||
import gauge/[hisqsmear] | ||
import physics/[stagD,stagSolve] | ||
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qexInit() | ||
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defaultSetup() | ||
var | ||
sg = lo.newGauge() | ||
sgl = lo.newGauge() | ||
f = lo.newGauge() | ||
ff = lo.newGauge() | ||
p = lo.newGauge() | ||
phi = lo.ColorVector() | ||
psi = lo.ColorVector() | ||
r = lo.newRNGField(RngMilc6,123456789) | ||
mass = 0.1 | ||
eps = 0.001 | ||
spa = initSolverParams() | ||
spf = initSolverParams() | ||
info: PerfInfo | ||
let | ||
hisq = newHisq() | ||
stag = newStag3(sg,sgl) | ||
arsq = 1e-20 | ||
frsq = 1e-12 | ||
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spa.r2req = arsq | ||
spa.maxits = 10000 | ||
spf.r2req = frsq | ||
spf.maxits = 10000 | ||
spf.verbosity = 1 | ||
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# -- Generic | ||
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proc smearRephase(g: auto, sg,sgl: auto): auto {.discardable.} = | ||
tic() | ||
let smearedForce = hisq.smearGetForce(g,sg,sgl) | ||
threads: | ||
sg.setBC; sgl.setBC; | ||
threadBarrier() | ||
sg.stagPhase; sgl.stagPhase; | ||
smearedForce | ||
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proc reTrMul(x,y:auto):auto = | ||
var d: type(eval(toDouble(redot(x[0],y[0])))) | ||
for ir in x: d += redot(x[ir].adj, y[ir]) | ||
result = simdSum(d) | ||
x.l.threadRankSum(result) | ||
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# -- Action calculation | ||
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proc action(): float = | ||
var s: float | ||
stag.solve(psi, phi, -mass, spa) | ||
threads: | ||
var st = psi.norm2 | ||
threadMaster: s = st | ||
result = 0.5*s | ||
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# -- Force calculation & momentum update | ||
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proc smearedOneAndThreeLinkForce(f: auto, smearedForce: proc, p: auto, g:auto) = | ||
# reverse accumulation of the derivative | ||
# 1. Dslash | ||
var | ||
f1 = f.newOneOf() | ||
f3 = f.newOneOf() | ||
ff = f.newOneOf() | ||
t,t3: array[4,Shifter[typeof(p),typeof(p[0])]] | ||
for mu in 0..<f.len: | ||
t[mu] = newShifter(p,mu,1) | ||
discard t[mu] ^* p | ||
t3[mu] = newShifter(p,mu,3) | ||
discard t3[mu] ^* p | ||
const n = p[0].len | ||
threads: | ||
for mu in 0..<f.len: | ||
for i in f[mu]: | ||
forO a, 0, n-1: | ||
forO b, 0, n-1: | ||
f1[mu][i][a,b] := p[i][a] * t[mu].field[i][b].adj | ||
f3[mu][i][a,b] := p[i][a] * t3[mu].field[i][b].adj | ||
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# 2. correcting phase | ||
threads: | ||
f1.setBC; f3.setBC; | ||
threadBarrier() | ||
f1.stagPhase; f3.stagPhase; | ||
threadBarrier() | ||
for mu in 0..<f.len: | ||
for i in f[mu].odd: | ||
f1[mu][i] *= -1 | ||
f3[mu][i] *= -1 | ||
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# 3. smearing | ||
ff.smearedForce(f1,f3) | ||
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# 4. Tₐ ReTr( Tₐ U F† ) | ||
threads: | ||
for mu in 0..<f.len: | ||
for i in f[mu]: | ||
var s {.noinit.}: typeof(f[0][0]) | ||
s := ff[mu][i]*g[mu][i].adj | ||
f[mu][i].projectTAH(s) | ||
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proc fforce(f: auto) = | ||
tic() | ||
let smearedForce = g.smearRephase(sg,sgl) | ||
toc("fforce smear rephase") | ||
stag.solve(psi, phi, mass, spf) | ||
toc("fforce solve") | ||
f.smearedOneAndThreeLinkForce(smearedForce, psi, g) | ||
toc("fforce olf") | ||
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proc mdt() = | ||
tic() | ||
threads: | ||
for mu in 0..<g.len: | ||
for s in g[mu]: | ||
g[mu][s] := exp(0.5*eps*p[mu][s])*g[mu][s] | ||
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proc mdv() = | ||
let s = -0.5/mass | ||
f.fforce() | ||
threads: | ||
for mu in 0..<f.len: f[mu] *= s | ||
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# -- Test | ||
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var p1: float | ||
g.random | ||
threads: | ||
p.randomTAH r | ||
psi.gaussian r | ||
var p2t = 0.0 | ||
for i in 0..<p.len: p2t += p[i].norm2 | ||
threadMaster: p1 = 0.5*p2t | ||
discard g.smearRephase(sg,sgl) | ||
threads: | ||
stag.D(phi, psi, -mass) | ||
threadBarrier() | ||
phi.odd := 0 | ||
psi := 0 | ||
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# Calculate initial action | ||
let s1 = action() | ||
echo "ACTION 1: ", s1 | ||
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# Update (leapfrog) | ||
mdt(); mdv(); mdt(); | ||
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# Calculate final action | ||
var p2: float | ||
discard g.smearRephase(sg,sgl) | ||
let s2 = action() | ||
echo "ACTION 2: ", s2 | ||
threads: | ||
var p2t = 0.0 | ||
for i in 0..<p.len: | ||
p2t += p[i].norm2 | ||
threadMaster: p2 = 0.5*p2t | ||
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# Calculate dS = P U dSdU | ||
var dS: float | ||
threads: | ||
var dSt = 0.0 | ||
for mu in 0..<p.len: | ||
dSt = dSt - reTrMul(p[mu],f[mu]) | ||
threadMaster: dS = dSt | ||
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# Compare differences | ||
let dH = s2+p2-s1-p1 | ||
let (dSdt1,dSdt2) = (dS*eps,s2-s1) | ||
echo "dt*dS/dt, dS, difference = ", dSdt1,", ", dSdt2, ", ", dSdt1-dSdt2 | ||
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qexFinalize() |
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