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#! /usr/bin/env python
import openturns as ot
ot.TESTPREAMBLE()
dim = 2
interval = ot.Interval([0.0] * dim, [10.0] * dim)
mesh = ot.IntervalMesher([30] * dim).build(interval)
f = ot.SymbolicFunction(["x", "y"], ["x + 0.5*sin(y)", "y-0.1*x*sin(x)"])
mesh.setVertices(f(mesh.getVertices()))
simplices = mesh.getSimplices()
nrSimplices = len(simplices)
naive = ot.NaiveEnclosingSimplex(mesh.getVertices(), simplices)
print("naive=", naive)
ot.RandomGenerator.SetSeed(0)
test = ot.JointDistribution([ot.Uniform(-1.0, 11.0)] * dim).getSample(100)
for i, vertex in enumerate(test):
index = naive.query(vertex)
if index >= nrSimplices:
print(i, "is outside")
else:
found, coordinates = mesh.checkPointInSimplexWithCoordinates(vertex, index)
if not found:
print(
"Wrong simplex found for",
vertex,
"(index=",
index,
simplices[index],
"barycentric coordinates=",
coordinates,
)
indices = naive.query(test)
for i, index in enumerate(indices):
if index >= nrSimplices:
print(i, "is outside")
else:
found, coordinates = mesh.checkPointInSimplexWithCoordinates(test[i], index)
if not found:
print(
"Wrong simplex found for",
test[i],
"(index=",
index,
simplices[index],
"barycentric coordinates=",
coordinates,
)
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