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#! /usr/bin/env python
import openturns as ot
import openturns.testing as ott
ot.TESTPREAMBLE()
try:
ot.ResourceMap.SetAsUnsignedInteger(
"OptimizationAlgorithm-DefaultMaximumIterationNumber", 1000
)
ot.ResourceMap.SetAsUnsignedInteger(
"OptimizationAlgorithm-DefaultMaximumCallsNumber", 100000
)
ot.ResourceMap.SetAsScalar(
"OptimizationAlgorithm-DefaultMaximumAbsoluteError", 1.0e-7
)
ot.ResourceMap.SetAsScalar(
"OptimizationAlgorithm-DefaultMaximumRelativeError", 1.0e-7
)
ot.ResourceMap.SetAsScalar(
"OptimizationAlgorithm-DefaultMaximumResidualError", 1.0e-7
)
ot.ResourceMap.SetAsScalar(
"OptimizationAlgorithm-DefaultMaximumConstraintError", 1.0e-7
)
ot.PlatformInfo.SetNumericalPrecision(2)
# The 1D mesher
mesher1D = ot.LevelSetMesher([7])
print("mesher1D=", mesher1D)
level = 0.5
function1D = ot.SymbolicFunction("x", "cos(x)/(1+0.1*x^2)")
levelSet1D = ot.LevelSet(function1D, ot.LessOrEqual(), level)
# Manual bounding box
mesh1D = mesher1D.build(levelSet1D, ot.Interval(-10.0, 10.0))
print("mesh1D=", mesh1D)
# The 2D mesher
mesher2D = ot.LevelSetMesher([5] * 2)
print("mesher2D=", mesher2D)
function2D = ot.SymbolicFunction(
["x0", "x1"], ["cos(x0 * x1)/(1 + 0.1 * (x0^2 + x1^2))"]
)
levelSet2D = ot.LevelSet(function2D, ot.LessOrEqual(), level)
# Manual bounding box, linear interpolation
mesh2D = mesher2D.build(levelSet2D, ot.Interval([-10.0] * 2, [10.0] * 2), False)
print("mesh2D=", mesh2D)
# Manual bounding box, solve the equation projection
ot.ResourceMap.SetAsBool("LevelSetMesher-SolveEquation", True)
mesh2D = mesher2D.build(levelSet2D, ot.Interval([-10.0] * 2, [10.0] * 2), True)
print("mesh2D=", mesh2D)
# Manual bounding box, optimization projection
ot.ResourceMap.SetAsBool("LevelSetMesher-SolveEquation", False)
mesh2D = mesher2D.build(levelSet2D, ot.Interval([-10.0] * 2, [10.0] * 2), True)
print("mesh2D=", mesh2D)
# The 3D mesher
mesher3D = ot.LevelSetMesher([3] * 3)
print("mesher3D=", mesher3D)
function3D = ot.SymbolicFunction(
["x0", "x1", "x2"], ["cos(x0 * x1 + x2)/(1 + 0.1*(x0^2 + x1^2 + x2^2))"]
)
levelSet3D = ot.LevelSet(function3D, ot.LessOrEqual(), level)
# Manual bounding box
mesh3D = mesher3D.build(levelSet3D, ot.Interval([-10.0] * 3, [10.0] * 3))
print("mesh3D=", mesh3D)
# The 4D mesher
mesher4D = ot.LevelSetMesher([3] * 4)
print("mesher4D=", mesher4D)
function4D = ot.SymbolicFunction(
["x0", "x1", "x2", "x3"], ["sqrt(x0^2+x1^2+x2^2+x3^2)"]
)
levelSet4D = ot.LevelSet(function4D, ot.LessOrEqual(), level)
# Manual bounding box
mesh4D = mesher4D.build(levelSet4D, ot.Interval([-0.5] * 4, [0.5] * 4), False)
print("mesh4D=", mesh4D)
# Issue #1668
f = ot.SymbolicFunction(["x", "y"], ["x^2+y^2"])
levelset = ot.LevelSet(f, ot.Less(), 1.0)
mesh = ot.LevelSetMesher([16] * 2).build(
levelset, ot.Interval([-1.5] * 2, [1.5] * 2)
)
gLess = mesh.draw()
f = ot.SymbolicFunction(["x", "y"], ["-(x^2+y^2)"])
levelset = ot.LevelSet(f, ot.Greater(), -1.0)
mesh = ot.LevelSetMesher([16] * 2).build(
levelset, ot.Interval([-1.5] * 2, [1.5] * 2)
)
gGreater = mesh.draw()
ott.assert_almost_equal(
gLess.getDrawable(0).getData(), gGreater.getDrawable(0).getData(), 1e-4, 1e-4
)
except Exception:
import sys
print("t_LevelSetMesher_std.py", sys.exc_info()[0], sys.exc_info()[1])
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