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separate coarse grid operator benchmark
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#!/usr/bin/env python3 | ||
# | ||
# Authors: Christoph Lehner 2023 | ||
# | ||
import gpt as g | ||
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g.default.set_verbose("random", False) | ||
rng = g.random("benchmark", "vectorized_ranlux24_24_64") | ||
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evec = [(1, 0, 0, 0), (0, 1, 0, 0), (0, 0, 1, 0), (0, 0, 0, 1)] | ||
nevec = [tuple([-x for x in y]) for y in evec] | ||
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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) | ||
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g.message( | ||
f""" | ||
Local Stencil Benchmark with | ||
fdimensions : {grid.fdimensions} | ||
precision : {precision.__name__} | ||
""" | ||
) | ||
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# coarse grid stencil | ||
nbasis = g.default.get_int("--nbasis", 12) | ||
vcoarse = g.vcomplex(grid, nbasis) | ||
g.message(f"Virtual blocks: {len(vcoarse.v_obj)}") | ||
nbasis_blocks = len(vcoarse.v_obj) | ||
mcoarse = [g.mcomplex(grid, nbasis) for _ in range(9)] | ||
rng.cnormal(mcoarse) | ||
rng.cnormal(vcoarse) | ||
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# reference solve | ||
vref = g.lattice(vcoarse) | ||
vref = g(mcoarse[0] * vcoarse) | ||
for mu in range(4): | ||
vref += mcoarse[1 + 2*mu] * g.cshift(vcoarse, mu, 1) | ||
vref += mcoarse[2 + 2*mu] * g.cshift(vcoarse, mu, -1) | ||
# now coarse grid dirac operator | ||
_X = 0 | ||
_Xp = [1,2,3,4] | ||
_Xm = [5,6,7,8] | ||
_ID = 0 | ||
_M = [1,3,5,7] | ||
_Mdag = [2,4,6,8] | ||
code = [] | ||
for iblock in range(nbasis_blocks): | ||
# todo block matrix multiply here | ||
for jblock in range(nbasis_blocks): | ||
matrix_index = nbasis_blocks * jblock + iblock | ||
code.append((iblock,nbasis_blocks + jblock,_X,-1 if jblock == 0 else iblock,1.0,[(matrix_index,_X,0)])) | ||
for mu in range(4): | ||
code.append((iblock,nbasis_blocks + jblock,_Xp[mu], iblock, 1.0, [(nbasis_blocks**2 * _M[mu] + matrix_index, _X, 0)])) | ||
code.append((iblock,nbasis_blocks + jblock,_Xm[mu], iblock, 1.0, [(nbasis_blocks**2 * _Mdag[mu] + matrix_index, _X, 0)])) | ||
st = g.stencil.matrix_vector( | ||
mcoarse[0], | ||
vcoarse, | ||
[(0, 0, 0, 0)] + evec + nevec, | ||
code, len(code) // nbasis_blocks | ||
) | ||
vdst = g.lattice(vcoarse) | ||
st(mcoarse, [vdst,vcoarse]) | ||
eps2 = g.norm2(vdst - vref) / g.norm2(vref) | ||
# g.message(f"Test: {eps2}") | ||
assert eps2 ** 0.5 < precision.eps * 100 | ||
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# Flops | ||
flops_per_matrix_vector_multiply = nbasis * (nbasis * 6 + (nbasis - 1) * 2) | ||
flops_per_vector_add = nbasis * 2 | ||
flops_per_site = 9 * flops_per_matrix_vector_multiply + 8 * flops_per_vector_add | ||
flops = flops_per_site * vcoarse.grid.gsites * N | ||
nbytes = (9 * nbasis ** 2 * 2 + 2 * nbasis * 2) * precision.nbytes * vcoarse.grid.gsites * N | ||
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# Warmup | ||
for n in range(5): | ||
st(mcoarse, [vdst,vcoarse]) | ||
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# Time | ||
t0 = g.time() | ||
for n in range(N): | ||
st(mcoarse, [vdst,vcoarse]) | ||
t1 = g.time() | ||
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# Report | ||
GFlopsPerSec = flops / (t1 - t0) / 1e9 | ||
GBPerSec = nbytes / (t1 - t0) / 1e9 | ||
g.message( | ||
f""" | ||
{N} applications of {nbasis} x {nbasis}, 9-point operator | ||
Time to complete : {t1-t0:.2f} s | ||
Total performance : {GFlopsPerSec:.2f} GFlops/s | ||
Effective memory bandwidth : {GBPerSec:.2f} GB/s""" | ||
) |