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Non-uniform grid indexing benchmark
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from torch.utils import benchmark | |
import numpy as np | |
h0 = 0.1 # 1st round grid h | |
h1 = 0.01 # 2nd round grid h | |
Bq = 100 # query batch size | |
results = [] | |
rng = [0., 10.] | |
# edge-based grid | |
x0 = np.linspace(rng[0], rng[1], num=int((rng[1] - rng[0])/h0)) | |
x1 = np.linspace(rng[0], rng[1], num=int((rng[1] - rng[0])/h0)) | |
idx0 = np.arange(len(x0)) | |
idx1 = np.arange(len(x1)) | |
# (get finer grid) randomly select indices and split it | |
# batch operation isn't supported | |
np.random.seed(41) | |
sel0 = np.random.choice(len(x0)) | |
sel1 = np.random.choice(len(x1)) | |
x0 = np.hstack([x0[:sel0], np.linspace(x0[sel0-1], x0[sel0] - h1, num=int(h0/h1) - 2), x0[sel0:]]) | |
x1 = np.hstack([x1[:sel1], np.linspace(x1[sel1-1], x1[sel1] - h1, num=int(h0/h1) - 2), x1[sel1:]]) | |
x = np.stack([x0, x1]) | |
# (xy2ind) query index of (x0, x1) in batch | |
qx0 = np.random.random(Bq) * (rng[1] - rng[0]) + rng[0] | |
qx1 = np.random.random(Bq) * (rng[1] - rng[0]) + rng[0] | |
qx = np.stack([qx0, qx1], axis=0) | |
def xy2ind_0(): | |
""" indexing based on minimum distance """ | |
min_dist = np.argmin((np.expand_dims(x, axis=-2) - qx[..., None]) ** 2, axis=-1) | |
a = min_dist[1] + len(x[0]) * min_dist[0] | |
return a | |
def xy2ind_1(): | |
""" indexing based on binary search """ | |
s0 = np.searchsorted(x0, qx0) | |
s1 = np.searchsorted(x1, qx1) | |
# inner-bin calibration | |
a0 = s0 - ((x0[s0] - qx0) ** 2 > (x0[s0 - 1] - qx0) ** 2) | |
a1 = s1 - ((x1[s1] - qx1) ** 2 > (x1[s1 - 1] - qx1) ** 2) | |
a = a1 + len(x0) * a0 | |
return a | |
assert np.all(xy2ind_0() == xy2ind_1()), 'different result!' | |
results.append(benchmark.Timer( | |
stmt='xy2ind()', | |
globals={'xy2ind': xy2ind_0}, | |
description='method0', | |
).blocked_autorange()) | |
results.append(benchmark.Timer( | |
stmt='xy2ind()', | |
globals={'xy2ind': xy2ind_1}, | |
description='method1', | |
).blocked_autorange()) | |
compare = benchmark.Compare(results) | |
compare.trim_significant_figures() | |
compare.colorize() | |
compare.print() |
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