def case_8_(src_path, dst_path):
opts = jigsawpy.jigsaw_jig_t()
geom = jigsawpy.jigsaw_msh_t()
mesh = jigsawpy.jigsaw_msh_t()
#------------------------------------ make mesh using JIGSAW
print("Call libJIGSAW: case 8a.")
jigsawpy.loadmsh(os.path.join(src_path, "eight.msh"), geom)
opts.hfun_hmax = 0.04 # set HFUN limits
opts.mesh_kern = "delfront" # DELFRONT kernel
opts.mesh_dims = +3
jigsawpy.lib.jigsaw(opts, geom, mesh)
print("Saving case_8a.vtk file.")
jigsawpy.savevtk(os.path.join(dst_path, "case_8a.vtk"), geom)
print("Saving case_8b.vtk file.")
jigsawpy.savevtk(os.path.join(dst_path, "case_8b.vtk"), mesh)
return
def case_1a(src_path, dst_path):
opts = jigsawpy.jigsaw_jig_t()
geom = jigsawpy.jigsaw_msh_t()
mesh = jigsawpy.jigsaw_msh_t()
#------------------------------------ define JIGSAW geometry
geom.mshID = "euclidean-mesh"
geom.ndims = +3
geom.vert3 = np.array([ # list of xy "node" coordinates
((0, 0, 0), 0),
((3, 0, 0), 0),
((3, 3, 0), 0),
((0, 3, 0), 0),
((0, 0, 3), 0),
((3, 0, 3), 0),
((3, 3, 3), 0),
((0, 3, 3), 0)],
dtype=geom.VERT3_t)
geom.tria3 = np.array([ # list of "tria" between points
((0, 1, 2), 0),
((0, 2, 3), 0),
((4, 5, 6), 0),
((4, 6, 7), 0),
((0, 1, 5), 0),
((0, 5, 4), 0),
((1, 2, 6), 0),
((1, 6, 5), 0),
((2, 3, 7), 0),
((2, 7, 6), 0),
((3, 7, 4), 0),
((3, 4, 0), 0)],
dtype=geom.TRIA3_t)
#------------------------------------ build mesh via JIGSAW!
print("Call libJIGSAW: case 1a.")
opts.hfun_hmax = 0.08 # push HFUN limits
opts.mesh_dims = +3 # 3-dim. simplexes
opts.mesh_top1 = True # for sharp feat's
opts.geom_feat = True
jigsawpy.lib.jigsaw(opts, geom, mesh)
scr3 = jigsawpy.triscr3( # "quality" metric
mesh.point["coord"],
mesh.tria4["index"])
print("Saving case_1a.vtk file.")
jigsawpy.savevtk(os.path.join(
dst_path, "case_1a.vtk"), mesh)
return
def case_7_(src_path, dst_path):
opts = jigsawpy.jigsaw_jig_t()
geom = jigsawpy.jigsaw_msh_t()
mesh = jigsawpy.jigsaw_msh_t()
#------------------------------------ make mesh using JIGSAW
print("Call libJIGSAW: case 7a.")
jigsawpy.loadmsh(os.path.join(src_path, "wheel.msh"), geom)
opts.hfun_hmax = 0.03 # set HFUN limits
opts.mesh_kern = "delfront" # DELFRONT kernel
opts.mesh_dims = +2
opts.geom_feat = True
opts.mesh_top1 = True
opts.mesh_top2 = True
jigsawpy.lib.jigsaw(opts, geom, mesh)
print("Saving case_7a.vtk file.")
jigsawpy.savevtk(os.path.join(dst_path, "case_7a.vtk"), geom)
print("Saving case_7b.vtk file.")
jigsawpy.savevtk(os.path.join(dst_path, "case_7b.vtk"), mesh)
return
def make_mesh():
opts = jigsawpy.jigsaw_jig_t() # jigsaw data structures
geom = jigsawpy.jigsaw_msh_t()
mesh = jigsawpy.jigsaw_msh_t()
opts.geom_file = "tmp/geom.msh" # setup jigsaw files
opts.jcfg_file = "tmp/opts.jig"
opts.mesh_file = "out/mesh.msh"
geom.mshID = "ellipsoid-mesh" # a simple "unit" sphere
geom.radii = np.ones(+3)
jigsawpy.savemsh(opts.geom_file, geom)
opts.verbosity = +1 # setup user-defined opt
opts.optm_iter = +512
opts.optm_qtol = +1.E-08
opts.optm_kern = "odt+dqdx"
# opts.optm_kern = "cvt+dqdx"
ttic = time.time()
jigsawpy.cmd.icosahedron(opts, 6, mesh) # mesh with n bisections
# keep = mesh.tria3["IDtag"] == +1 # only keep single face?
# mesh.tria3 = mesh.tria3[keep]
ttoc = time.time()
print("CPUSEC =", (ttoc - ttic))
jigsawpy.savevtk("mesh.vtk", mesh) # to open in paraview...
return
def case_0a(src_path, dst_path):
opts = jigsawpy.jigsaw_jig_t()
geom = jigsawpy.jigsaw_msh_t()
mesh = jigsawpy.jigsaw_msh_t()
#------------------------------------ define JIGSAW geometry
geom.mshID = "euclidean-mesh"
geom.ndims = +2
geom.vert2 = np.array([ # list of xy "node" coordinate
((0, 0), 0), # outer square
((9, 0), 0),
((9, 9), 0),
((0, 9), 0),
((4, 4), 0), # inner square
((5, 4), 0),
((5, 5), 0),
((4, 5), 0)],
dtype=geom.VERT2_t)
geom.edge2 = np.array([ # list of "edges" between vert
((0, 1), 0), # outer square
((1, 2), 0),
((2, 3), 0),
((3, 0), 0),
((4, 5), 0), # inner square
((5, 6), 0),
((6, 7), 0),
((7, 4), 0)],
dtype=geom.EDGE2_t)
#------------------------------------ build mesh via JIGSAW!
print("Call libJIGSAW: case 0a.")
opts.hfun_hmax = 0.05 # push HFUN limits
opts.mesh_dims = +2 # 2-dim. simplexes
opts.optm_qlim = +.95
opts.mesh_top1 = True # for sharp feat's
opts.geom_feat = True
jigsawpy.lib.jigsaw(opts, geom, mesh)
scr2 = jigsawpy.triscr2( # "quality" metric
mesh.point["coord"],
mesh.tria3["index"])
print("Saving case_0a.vtk file.")
jigsawpy.savevtk(os.path.join(
dst_path, "case_0a.vtk"), mesh)
return
def _opts(self):
try:
return self.__opts
except AttributeError:
self.__opts = jigsawpy.jigsaw_jig_t()
self.__opts.mesh_dims = self.Geom._ndim
if self.Hfun is not None:
self.__opts.hfun_scal = self.Hfun._hfun_scal
return self.__opts
def __get__(self, obj, val):
opts = obj.__dict__.get('opts')
if opts is None:
opts = jigsaw_jig_t()
opts.mesh_dims = +2
opts.optm_tria = True
opts.hfun_scal = 'absolute'
obj.__dict__['opts'] = opts
return opts
def case_6_(src_path, dst_path):
opts = jigsawpy.jigsaw_jig_t()
geom = jigsawpy.jigsaw_msh_t()
mesh = jigsawpy.jigsaw_msh_t()
#------------------------------------ setup files for JIGSAW
opts.geom_file = \
os.path.join(src_path, "piece.msh")
opts.jcfg_file = \
os.path.join(dst_path, "piece.jig")
opts.mesh_file = \
os.path.join(dst_path, "piece.msh")
#------------------------------------ make mesh using JIGSAW
jigsawpy.loadmsh(opts.geom_file, geom)
print("Saving case_6a.vtk file.")
jigsawpy.savevtk(os.path.join(dst_path, "case_6a.vtk"), geom)
opts.hfun_hmax = 0.03 # set HFUN limits
opts.mesh_kern = "delfront" # DELFRONT kernel
opts.mesh_dims = +2
jigsawpy.cmd.jigsaw(opts, mesh)
print("Saving case_6b.vtk file.")
jigsawpy.savevtk(os.path.join(dst_path, "case_6b.vtk"), mesh)
#------------------------------------ make mesh using JIGSAW
opts.hfun_hmax = 0.03 # set HFUN limits
opts.mesh_kern = "delfront" # DELFRONT kernel
opts.mesh_dims = +2
opts.geom_feat = True
opts.mesh_top1 = True
jigsawpy.cmd.jigsaw(opts, mesh)
print("Saving case_6c.vtk file.")
jigsawpy.savevtk(os.path.join(dst_path, "case_6c.vtk"), mesh)
return
def case_2_(src_path, dst_path):
opts = jigsawpy.jigsaw_jig_t()
mesh = jigsawpy.jigsaw_msh_t()
#------------------------------------ setup files for JIGSAW
opts.geom_file = \
os.path.join(src_path, "lakes.msh")
opts.jcfg_file = \
os.path.join(dst_path, "lakes.jig")
opts.mesh_file = \
os.path.join(dst_path, "lakes.msh")
#------------------------------------ make mesh using JIGSAW
opts.mesh_kern = "delaunay" # DELAUNAY kernel
opts.mesh_dims = +2
opts.mesh_top1 = True # mesh sharp feat.
opts.geom_feat = True
opts.optm_iter = +0
opts.hfun_hmax = 0.02
jigsawpy.cmd.jigsaw(opts, mesh)
print("Saving case_2a.vtk file.")
jigsawpy.savevtk(os.path.join(dst_path, "case_2a.vtk"), mesh)
#------------------------------------ make mesh using JIGSAW
opts.mesh_kern = "delfront" # DELFRONT kernel
opts.mesh_dims = +2
opts.mesh_top1 = True # mesh sharp feat.
opts.geom_feat = True
opts.optm_iter = +0
opts.hfun_hmax = 0.02
jigsawpy.cmd.jigsaw(opts, mesh)
print("Saving case_2b.vtk file.")
jigsawpy.savevtk(os.path.join(dst_path, "case_2b.vtk"), mesh)
return
def _run_cmdsaw(self):
msg = f'_run_cmdsaw()'
self.logger.debug(msg)
# init tmpfiles
self.logger.debug(f'init tmpfiles')
mesh_file = tempfile.NamedTemporaryFile(prefix=tmpdir, suffix='.msh')
hmat_file = tempfile.NamedTemporaryFile(prefix=tmpdir, suffix='.msh')
geom_file = tempfile.NamedTemporaryFile(prefix=tmpdir, suffix='.msh')
jcfg_file = tempfile.NamedTemporaryFile(prefix=tmpdir, suffix='.jig')
# dump data to tempfiles
jigsawpy.savemsh(hmat_file.name, self.hfun)
jigsawpy.savemsh(geom_file.name, self.geom)
# init opts
opts = jigsaw_jig_t()
opts.mesh_file = mesh_file.name
opts.hfun_file = hmat_file.name
opts.geom_file = geom_file.name
opts.jcfg_file = jcfg_file.name
# additional configuration options
opts.verbosity = self.verbosity
opts.mesh_dims = +2 # NOTE: Hardcoded value
opts.hfun_scal = 'absolute'
opts.optm_tria = True # NOTE: Hardcoded value
opts.optm_qlim = self.optm_qlim
if self.hmin_is_absolute_limit:
opts.hfun_hmin = self.hmin
else:
opts.hfun_hmin = np.min(self.hfun.value)
if self.hmax_is_absolute_limit:
opts.hfun_hmax = self.hmax
else:
opts.hfun_hmax = np.max(self.hfun.value)
# init outputmesh
mesh = jigsaw_msh_t()
# call jigsaw
self.logger.debug('call cmdsaw')
jigsawpy.cmd.jigsaw(opts, mesh)
# cleanup temporary files
for tmpfile in (mesh_file, hmat_file, geom_file, jcfg_file):
del (tmpfile)
self.__output_mesh = mesh
def _jigsaw_hmat_worker(path, window, hmin, hmax, geom):
geom = None
raster = Raster(path)
x = raster.get_x(window)
y = raster.get_y(window)
_y = np.repeat(np.min(y), len(x))
_x = np.repeat(np.min(x), len(y))
_tx = utm.from_latlon(_y, x)[0]
_ty = np.flip(utm.from_latlon(y, _x)[1])
hmat = jigsaw_msh_t()
hmat.mshID = "euclidean-grid"
hmat.ndims = +2
hmat.xgrid = _tx.astype(jigsaw_msh_t.REALS_t)
hmat.ygrid = _ty.astype(jigsaw_msh_t.REALS_t)
hmat.value = np.flipud(
raster.get_values(band=1, window=window)
).astype(jigsaw_msh_t.REALS_t)
# init opts
opts = jigsaw_jig_t()
# additional configuration options
opts.verbosity = 1
opts.mesh_dims = 2
opts.hfun_scal = 'absolute'
opts.optm_tria = True
if hmin is not None:
opts.hfun_hmin = hmin
else:
opts.hfun_hmin = np.min(hmat.value)
if hmax is not None:
opts.hfun_hmax = hmax
else:
opts.hfun_hmax = np.max(hmat.value)
# output mesh
mesh = jigsaw_msh_t()
# call jigsaw to create local mesh
libsaw.jigsaw(
opts,
geom,
mesh,
hfun=hmat
)
breakpoint()
return mesh
def jigsaw_driver(cellWidth, lon, lat):
'''
A function for building a jigsaw mesh
Parameters
----------
cellWidth : ndarray
The size of each cell in the resulting mesh as a function of space
lon, lat : ndarray
The lon. and lat. of each point in the cellWidth array
'''
# Authors
# -------
# Mark Petersen, Phillip Wolfram, Xylar Asay-Davis
# setup files for JIGSAW
opts = jigsawpy.jigsaw_jig_t()
opts.geom_file = 'mesh.msh'
opts.jcfg_file = 'mesh.jig'
opts.mesh_file = 'mesh-MESH.msh'
opts.hfun_file = 'mesh-HFUN.msh'
# save HFUN data to file
hmat = jigsawpy.jigsaw_msh_t()
hmat.mshID = 'ELLIPSOID-GRID'
hmat.xgrid = numpy.radians(lon)
hmat.ygrid = numpy.radians(lat)
hmat.value = cellWidth
jigsawpy.savemsh(opts.hfun_file, hmat)
# define JIGSAW geometry
geom = jigsawpy.jigsaw_msh_t()
geom.mshID = 'ELLIPSOID-MESH'
geom.radii = 6371.*numpy.ones(3, float)
jigsawpy.savemsh(opts.geom_file, geom)
# build mesh via JIGSAW!
mesh = jigsawpy.jigsaw_msh_t()
opts.hfun_scal = 'absolute'
opts.hfun_hmax = float("inf")
opts.hfun_hmin = 0.0
opts.mesh_dims = +2 # 2-dim. simplexes
opts.optm_qlim = 0.9375
opts.verbosity = +1
jigsawpy.cmd.jigsaw(opts)
def setopts():
opts = jigsawpy.jigsaw_jig_t()
#------------------------------------ define JIGSAW useropts
opts.hfun_scal = "absolute"
opts.hfun_hmax = float("inf") # null spacing lim
opts.hfun_hmin = float(+0.00)
opts.mesh_dims = +2 # 2-dim. simplexes
opts.bisection = -1 # call heutristic!
opts.optm_qlim = +9.5E-01 # tighter opt. tol
opts.optm_iter = +32
opts.optm_qtol = +1.0E-05
return opts
def setopts():
opts = jigsawpy.jigsaw_jig_t()
#------------------------------------ define JIGSAW useropts
opts.hfun_scal = "absolute"
opts.hfun_hmax = float("inf") # null spacing lim
opts.hfun_hmin = float(+0.00)
opts.mesh_dims = +2 # 2-dim. simplexes
opts.bisection = +0 # just single-lev.
opts.mesh_rad2 = +1.20
opts.mesh_eps1 = +0.50
# opts.optm_kern = "cvt+dqdx"
opts.optm_qlim = +9.5E-01 # tighter opt. tol
opts.optm_iter = +64
opts.optm_qtol = +1.0E-05
return opts
def jigsaw_gen_icos_grid(basename="mesh", level=4):
# setup files for JIGSAW
opts = jig.jigsaw_jig_t()
icos = jig.jigsaw_msh_t()
geom = jig.jigsaw_msh_t()
opts.geom_file = basename + '.msh'
opts.jcfg_file = basename + '.jig'
opts.mesh_file = basename + '-MESH.msh'
geom.mshID = "ellipsoid-mesh"
geom.radii = np.full(3, 1.000E+000, dtype=geom.REALS_t)
jig.savemsh(opts.geom_file, geom)
opts.hfun_hmax = +1.
opts.mesh_dims = +2 # 2-dim. simplexes
opts.optm_iter = +512
opts.optm_qtol = +1.0E-06
jig.cmd.icosahedron(opts, level, icos)
return opts.mesh_file
def jigsaw_driver(cellWidth,
x,
y,
on_sphere=True,
earth_radius=6371.0e3,
geom_points=None,
geom_edges=None,
logger=None):
"""
A function for building a jigsaw mesh
Parameters
----------
cellWidth : ndarray
The size of each cell in the resulting mesh as a function of space
x, y : ndarray
The x and y coordinates of each point in the cellWidth array (lon and
lat for spherical mesh)
on_sphere : logical, optional
Whether this mesh is spherical or planar
earth_radius : float, optional
Earth radius in meters
geom_points : ndarray, optional
list of point coordinates for bounding polygon for planar mesh
geom_edges : ndarray, optional
list of edges between points in geom_points that define the bounding polygon
logger : logging.Logger, optional
A logger for the output if not stdout
"""
# Authors
# -------
# Mark Petersen, Phillip Wolfram, Xylar Asay-Davis
# setup files for JIGSAW
opts = jigsawpy.jigsaw_jig_t()
opts.geom_file = 'mesh.msh'
opts.jcfg_file = 'mesh.jig'
opts.mesh_file = 'mesh-MESH.msh'
opts.hfun_file = 'mesh-HFUN.msh'
# save HFUN data to file
hmat = jigsawpy.jigsaw_msh_t()
if on_sphere:
hmat.mshID = 'ELLIPSOID-GRID'
hmat.xgrid = numpy.radians(x)
hmat.ygrid = numpy.radians(y)
else:
hmat.mshID = 'EUCLIDEAN-GRID'
hmat.xgrid = x
hmat.ygrid = y
hmat.value = cellWidth
jigsawpy.savemsh(opts.hfun_file, hmat)
# define JIGSAW geometry
geom = jigsawpy.jigsaw_msh_t()
if on_sphere:
geom.mshID = 'ELLIPSOID-MESH'
geom.radii = earth_radius * 1e-3 * numpy.ones(3, float)
else:
geom.mshID = 'EUCLIDEAN-MESH'
geom.vert2 = geom_points
geom.edge2 = geom_edges
jigsawpy.savemsh(opts.geom_file, geom)
# build mesh via JIGSAW!
opts.hfun_scal = 'absolute'
opts.hfun_hmax = float("inf")
opts.hfun_hmin = 0.0
opts.mesh_dims = +2 # 2-dim. simplexes
opts.optm_qlim = 0.9375
opts.verbosity = +1
savejig(opts.jcfg_file, opts)
check_call(['jigsaw', opts.jcfg_file], logger=logger)
def case_2_(src_path, dst_path):
# DEMO-2: generate a regionally-refined global grid with a
# high-resolution 37.5km patch embedded in a uniform 150km
# background grid.
opts = jigsawpy.jigsaw_jig_t()
topo = jigsawpy.jigsaw_msh_t()
geom = jigsawpy.jigsaw_msh_t()
hfun = jigsawpy.jigsaw_msh_t()
mesh = jigsawpy.jigsaw_msh_t()
#------------------------------------ setup files for JIGSAW
opts.geom_file = \
os.path.join(src_path, "eSPH.msh")
opts.jcfg_file = \
os.path.join(dst_path, "eSPH.jig")
opts.mesh_file = \
os.path.join(dst_path, "mesh.msh")
opts.hfun_file = \
os.path.join(dst_path, "spac.msh")
#------------------------------------ define JIGSAW geometry
geom.mshID = "ellipsoid-mesh"
geom.radii = np.full(3, 6.371E+003, dtype=geom.REALS_t)
jigsawpy.savemsh(opts.geom_file, geom)
#------------------------------------ define spacing pattern
hfun.mshID = "ellipsoid-grid"
hfun.radii = geom.radii
hfun.xgrid = np.linspace(-1. * np.pi, +1. * np.pi, 360)
hfun.ygrid = np.linspace(-.5 * np.pi, +.5 * np.pi, 180)
xmat, ymat = \
np.meshgrid(hfun.xgrid, hfun.ygrid)
hfun.value = +150. - 112.5 * np.exp(-(+1.5 * (xmat + 1.0)**2 + +1.5 *
(ymat - 0.5)**2)**4)
jigsawpy.savemsh(opts.hfun_file, hfun)
#------------------------------------ make mesh using JIGSAW
opts.hfun_scal = "absolute"
opts.hfun_hmax = float("inf") # null HFUN limits
opts.hfun_hmin = float(+0.00)
opts.mesh_dims = +2 # 2-dim. simplexes
opts.optm_qlim = +9.5E-01 # tighter opt. tol
opts.optm_iter = +32
opts.optm_qtol = +1.0E-05
jigsawpy.cmd.tetris(opts, 3, mesh)
scr2 = jigsawpy.triscr2( # "quality" metric
mesh.point["coord"], mesh.tria3["index"])
#------------------------------------ save mesh for Paraview
jigsawpy.loadmsh(os.path.join(src_path, "topo.msh"), topo)
#------------------------------------ a very rough land mask
apos = jigsawpy.R3toS2(geom.radii, mesh.point["coord"][:])
apos = apos * 180. / np.pi
zfun = interpolate.RectBivariateSpline(topo.ygrid, topo.xgrid, topo.value)
mesh.value = zfun(apos[:, 1], apos[:, 0], grid=False)
cell = mesh.tria3["index"]
zmsk = \
mesh.value[cell[:, 0]] + \
mesh.value[cell[:, 1]] + \
mesh.value[cell[:, 2]]
zmsk = zmsk / +3.0
mesh.tria3 = mesh.tria3[zmsk < +0.]
print("Saving to ../cache/case_2a.vtk")
jigsawpy.savevtk(os.path.join(dst_path, "case_2a.vtk"), mesh)
print("Saving to ../cache/case_2b.vtk")
jigsawpy.savevtk(os.path.join(dst_path, "case_2b.vtk"), hfun)
return
def case_6_(src_path, dst_path):
# DEMO-6: generate a 2-dim. grid for the Australian coastal
# region, using scaled ocean-depth as a mesh-resolution
# heuristic. A local stereographic projection is employed.
opts = jigsawpy.jigsaw_jig_t()
topo = jigsawpy.jigsaw_msh_t()
geom = jigsawpy.jigsaw_msh_t()
mesh = jigsawpy.jigsaw_msh_t()
hmat = jigsawpy.jigsaw_msh_t()
proj = jigsawpy.jigsaw_prj_t()
#------------------------------------ setup files for JIGSAW
opts.geom_file = \
os.path.join(dst_path, "geom.msh")
opts.jcfg_file = \
os.path.join(dst_path, "aust.jig")
opts.mesh_file = \
os.path.join(dst_path, "mesh.msh")
opts.hfun_file = \
os.path.join(dst_path, "spac.msh")
#------------------------------------ define JIGSAW geometry
jigsawpy.loadmsh(os.path.join(src_path, "aust.msh"), geom)
jigsawpy.loadmsh(os.path.join(src_path, "topo.msh"), topo)
xmin = np.min(geom.point["coord"][:, 0])
ymin = np.min(geom.point["coord"][:, 1])
xmax = np.max(geom.point["coord"][:, 0])
ymax = np.max(geom.point["coord"][:, 1])
zlev = topo.value
xmsk = np.logical_and(topo.xgrid > xmin, topo.xgrid < xmax)
ymsk = np.logical_and(topo.ygrid > ymin, topo.ygrid < ymax)
zlev = zlev[:, xmsk]
zlev = zlev[ymsk, :]
#------------------------------------ define spacing pattern
hmat.mshID = "ellipsoid-grid"
hmat.radii = np.full(+3, +6371.0, dtype=jigsawpy.jigsaw_msh_t.REALS_t)
hmat.xgrid = \
topo.xgrid[xmsk] * np.pi / 180.
hmat.ygrid = \
topo.ygrid[ymsk] * np.pi / 180.
hmin = +1.0E+01
hmax = +1.0E+02
hmat.value = \
np.sqrt(np.maximum(-zlev, 0.)) / 0.5
hmat.value = \
np.maximum(hmat.value, hmin)
hmat.value = \
np.minimum(hmat.value, hmax)
hmat.slope = np.full(hmat.value.shape,
+0.1500,
dtype=jigsawpy.jigsaw_msh_t.REALS_t)
#------------------------------------ do stereographic proj.
geom.point["coord"][:, :] *= np.pi / 180.
proj.prjID = 'stereographic'
proj.radii = +6.371E+003
proj.xbase = \
+0.500 * (xmin + xmax) * np.pi / 180.
proj.ybase = \
+0.500 * (ymin + ymax) * np.pi / 180.
jigsawpy.project(geom, proj, "fwd")
jigsawpy.project(hmat, proj, "fwd")
jigsawpy.savemsh(opts.geom_file, geom)
jigsawpy.savemsh(opts.hfun_file, hmat)
#------------------------------------ set HFUN grad.-limiter
jigsawpy.cmd.marche(opts, hmat)
#------------------------------------ make mesh using JIGSAW
opts.hfun_scal = "absolute"
opts.hfun_hmax = float("inf") # null HFUN limits
opts.hfun_hmin = float(+0.00)
opts.mesh_dims = +2 # 2-dim. simplexes
opts.mesh_eps1 = +1.
ttic = time.time()
jigsawpy.cmd.jigsaw(opts, mesh)
ttoc = time.time()
print("CPUSEC =", (ttoc - ttic))
cost = jigsawpy.triscr2( # quality metrics!
mesh.point["coord"], mesh.tria3["index"])
print("TRISCR =", np.min(cost), np.mean(cost))
cost = jigsawpy.pwrscr2(mesh.point["coord"], mesh.power,
mesh.tria3["index"])
print("PWRSCR =", np.min(cost), np.mean(cost))
tbad = jigsawpy.centre2(mesh.point["coord"], mesh.power,
mesh.tria3["index"])
print("OBTUSE =", +np.count_nonzero(np.logical_not(tbad)))
#------------------------------------ save mesh for Paraview
print("Saving to ../cache/case_6a.vtk")
jigsawpy.savevtk(os.path.join(dst_path, "case_6a.vtk"), mesh)
print("Saving to ../cache/case_6b.vtk")
jigsawpy.savevtk(os.path.join(dst_path, "case_6b.vtk"), hmat)
return
def case_2_(src_path, dst_path):
# DEMO-2: generate a regionally-refined global grid with a
# high-resolution 37.5km patch embedded in a uniform 150km
# background grid.
opts = jigsawpy.jigsaw_jig_t()
topo = jigsawpy.jigsaw_msh_t()
geom = jigsawpy.jigsaw_msh_t()
hfun = jigsawpy.jigsaw_msh_t()
mesh = jigsawpy.jigsaw_msh_t()
#------------------------------------ setup files for JIGSAW
opts.geom_file = \
os.path.join(dst_path, "geom.msh")
opts.jcfg_file = \
os.path.join(dst_path, "opts.jig")
opts.mesh_file = \
os.path.join(dst_path, "mesh.msh")
opts.hfun_file = \
os.path.join(dst_path, "spac.msh")
#------------------------------------ define JIGSAW geometry
geom.mshID = "ellipsoid-mesh"
geom.radii = np.full(3, 6.371E+003, dtype=geom.REALS_t)
jigsawpy.savemsh(opts.geom_file, geom)
#------------------------------------ define spacing pattern
hfun.mshID = "ellipsoid-grid"
hfun.radii = geom.radii
hfun.xgrid = np.linspace(-1. * np.pi, +1. * np.pi, 360)
hfun.ygrid = np.linspace(-.5 * np.pi, +.5 * np.pi, 180)
xmat, ymat = \
np.meshgrid(hfun.xgrid, hfun.ygrid)
hfun.value = +150. - 112.5 * np.exp(-(+1.5 * (xmat + 1.0)**2 + +1.5 *
(ymat - 0.5)**2)**4)
jigsawpy.savemsh(opts.hfun_file, hfun)
#------------------------------------ make mesh using JIGSAW
opts.hfun_scal = "absolute"
opts.hfun_hmax = float("inf") # null HFUN limits
opts.hfun_hmin = float(+0.00)
opts.mesh_dims = +2 # 2-dim. simplexes
opts.optm_qlim = +9.5E-01 # tighter opt. tol
opts.optm_iter = +32
opts.optm_qtol = +1.0E-05
# opts.optm_kern = "cvt+dqdx"
rbar = np.mean(geom.radii) # bisect heuristic
hbar = np.mean(hfun.value)
nlev = round(math.log2(rbar / math.sin(.4 * math.pi) / hbar))
ttic = time.time()
jigsawpy.cmd.tetris(opts, nlev - 1, mesh)
ttoc = time.time()
print("CPUSEC =", (ttoc - ttic))
print("BISECT =", +nlev)
cost = jigsawpy.triscr2( # quality metrics!
mesh.point["coord"], mesh.tria3["index"])
print("TRISCR =", np.min(cost), np.mean(cost))
cost = jigsawpy.pwrscr2(mesh.point["coord"], mesh.power,
mesh.tria3["index"])
print("PWRSCR =", np.min(cost), np.mean(cost))
tbad = jigsawpy.centre2(mesh.point["coord"], mesh.power,
mesh.tria3["index"])
print("OBTUSE =", +np.count_nonzero(np.logical_not(tbad)))
ndeg = jigsawpy.trideg2(mesh.point["coord"], mesh.tria3["index"])
print("TOPOL. =", +np.count_nonzero(ndeg == +6) / ndeg.size)
#------------------------------------ save mesh for Paraview
jigsawpy.loadmsh(os.path.join(src_path, "topo.msh"), topo)
#------------------------------------ a very rough land mask
apos = jigsawpy.R3toS2(geom.radii, mesh.point["coord"][:])
apos = apos * 180. / np.pi
zfun = interpolate.RectBivariateSpline(topo.ygrid, topo.xgrid, topo.value)
mesh.value = zfun(apos[:, 1], apos[:, 0], grid=False)
cell = mesh.tria3["index"]
zmsk = \
mesh.value[cell[:, 0]] + \
mesh.value[cell[:, 1]] + \
mesh.value[cell[:, 2]]
zmsk = zmsk / +3.0
mesh.tria3 = mesh.tria3[zmsk < +0.]
print("Saving to ../cache/case_2a.vtk")
jigsawpy.savevtk(os.path.join(dst_path, "case_2a.vtk"), mesh)
print("Saving to ../cache/case_2b.vtk")
jigsawpy.savevtk(os.path.join(dst_path, "case_2b.vtk"), hfun)
return
def case_3_(src_path, dst_path):
opts = jigsawpy.jigsaw_jig_t()
geom = jigsawpy.jigsaw_msh_t()
mesh = jigsawpy.jigsaw_msh_t()
#------------------------------------ setup files for JIGSAW
opts.geom_file = \
os.path.join(src_path, "bunny.msh")
opts.jcfg_file = \
os.path.join(dst_path, "bunny.jig")
opts.mesh_file = \
os.path.join(dst_path, "bunny.msh")
#------------------------------------ make mesh using JIGSAW
jigsawpy.loadmsh(
opts.geom_file, geom)
print("Saving case_3a.vtk file.")
jigsawpy.savevtk(os.path.join(
dst_path, "case_3a.vtk"), geom)
opts.mesh_kern = "delaunay" # DELAUNAY kernel
opts.mesh_dims = +2
opts.optm_iter = +0
opts.hfun_hmax = 0.03
jigsawpy.cmd.jigsaw(opts, mesh)
scr2 = jigsawpy.triscr2( # "quality" metric
mesh.point["coord"],
mesh.tria3["index"])
print("Saving case_3b.vtk file.")
jigsawpy.savevtk(os.path.join(
dst_path, "case_3b.vtk"), mesh)
#------------------------------------ make mesh using JIGSAW
opts.mesh_kern = "delfront" # DELFRONT kernel
opts.mesh_dims = +2
opts.optm_iter = +0
opts.hfun_hmax = 0.03
jigsawpy.cmd.jigsaw(opts, mesh)
scr2 = jigsawpy.triscr2( # "quality" metric
mesh.point["coord"],
mesh.tria3["index"])
print("Saving case_3c.vtk file.")
jigsawpy.savevtk(os.path.join(
dst_path, "case_3c.vtk"), mesh)
return
def case_6_(src_path, dst_path):
# DEMO-6: generate a multi-part mesh of the (contiguous) USA
# using state boundaries to partition the mesh. A local
# stereographic projection is employed. The domain is meshed
# using uniform resolution.
opts = jigsawpy.jigsaw_jig_t()
geom = jigsawpy.jigsaw_msh_t()
mesh = jigsawpy.jigsaw_msh_t()
proj = jigsawpy.jigsaw_prj_t()
#------------------------------------ setup files for JIGSAW
opts.geom_file = \
os.path.join(src_path, "proj.msh")
opts.jcfg_file = \
os.path.join(dst_path, "us48.jig")
opts.mesh_file = \
os.path.join(dst_path, "mesh.msh")
#------------------------------------ define JIGSAW geometry
jigsawpy.loadmsh(os.path.join(src_path, "us48.msh"), geom)
xmin = np.min(geom.point["coord"][:, 0])
ymin = np.min(geom.point["coord"][:, 1])
xmax = np.max(geom.point["coord"][:, 0])
ymax = np.max(geom.point["coord"][:, 1])
geom.point["coord"][:, :] *= np.pi / 180.
proj.prjID = 'stereographic'
proj.radii = +6.371E+003
proj.xbase = \
+0.500 * (xmin + xmax) * np.pi / 180.
proj.ybase = \
+0.500 * (ymin + ymax) * np.pi / 180.
jigsawpy.project(geom, proj, "fwd")
jigsawpy.savemsh(opts.geom_file, geom)
#------------------------------------ make mesh using JIGSAW
opts.hfun_hmax = .005
opts.mesh_dims = +2 # 2-dim. simplexes
opts.mesh_eps1 = +1 / 6.
jigsawpy.cmd.jigsaw(opts, mesh)
#------------------------------------ save mesh for Paraview
print("Saving to ../cache/case_6a.vtk")
jigsawpy.savevtk(os.path.join(dst_path, "case_6a.vtk"), mesh)
return
def case_1b(src_path, dst_path):
opts = jigsawpy.jigsaw_jig_t()
geom = jigsawpy.jigsaw_msh_t()
hmat = jigsawpy.jigsaw_msh_t()
mesh = jigsawpy.jigsaw_msh_t()
#------------------------------------ define JIGSAW geometry
geom.mshID = "euclidean-mesh"
geom.ndims = +3
geom.vert3 = np.array([ # list of xy "node" coordinates
((0, 0, 0), 0),
((3, 0, 0), 0),
((3, 3, 0), 0),
((0, 3, 0), 0),
((0, 0, 3), 0),
((3, 0, 3), 0),
((3, 3, 3), 0),
((0, 3, 3), 0)],
dtype=geom.VERT3_t)
geom.tria3 = np.array([ # list of "tria" between points
((0, 1, 2), 0),
((0, 2, 3), 0),
((4, 5, 6), 0),
((4, 6, 7), 0),
((0, 1, 5), 0),
((0, 5, 4), 0),
((1, 2, 6), 0),
((1, 6, 5), 0),
((2, 3, 7), 0),
((2, 7, 6), 0),
((3, 7, 4), 0),
((3, 4, 0), 0)],
dtype=geom.TRIA3_t)
#------------------------------------ compute HFUN over GEOM
xgeo = geom.vert3["coord"][:, 0]
ygeo = geom.vert3["coord"][:, 1]
zgeo = geom.vert3["coord"][:, 2]
xpos = np.linspace(
xgeo.min(), xgeo.max(), 32)
ypos = np.linspace(
ygeo.min(), ygeo.max(), 16)
zpos = np.linspace(
zgeo.min(), zgeo.max(), 64)
xmat, ymat, zmat = \
np.meshgrid(xpos, ypos, zpos)
hfun = 0.4 - 0.3 * np.exp(
- 2.0 * (xmat - 1.50) ** 2
- 2.0 * (ymat - 1.50) ** 2
- 2.0 * (zmat - 1.50) ** 2)
hmat.mshID = "euclidean-grid"
hmat.ndims = +3
hmat.xgrid = np.array(
xpos, dtype=hmat.REALS_t)
hmat.ygrid = np.array(
ypos, dtype=hmat.REALS_t)
hmat.zgrid = np.array(
zpos, dtype=hmat.REALS_t)
hmat.value = np.array(
hfun, dtype=hmat.REALS_t)
#------------------------------------ build mesh via JIGSAW!
print("Call libJIGSAW: case 1b.")
opts.hfun_scal = "absolute"
opts.hfun_hmax = float("inf") # null HFUN limits
opts.hfun_hmin = float(+0.00)
opts.mesh_dims = +3 # 3-dim. simplexes
opts.mesh_top1 = True # for sharp feat's
opts.geom_feat = True
jigsawpy.lib.jigsaw(opts, geom, mesh,
None, hmat)
print("Saving case_1b.vtk file.")
jigsawpy.savevtk(os.path.join(
dst_path, "case_1b.vtk"), mesh)
return
def case_4_(src_path, dst_path):
# DEMO-4: generate a multi-resolution mesh, via local refin-
# ement along coastlines and shallow ridges. Global grid
# resolution is 150KM, background resolution is 67KM and the
# min. adaptive resolution is 33KM.
opts = jigsawpy.jigsaw_jig_t()
topo = jigsawpy.jigsaw_msh_t()
geom = jigsawpy.jigsaw_msh_t()
mesh = jigsawpy.jigsaw_msh_t()
hmat = jigsawpy.jigsaw_msh_t()
#------------------------------------ setup files for JIGSAW
opts.geom_file = \
os.path.join(src_path, "eSPH.msh")
opts.jcfg_file = \
os.path.join(dst_path, "eSPH.jig")
opts.mesh_file = \
os.path.join(dst_path, "mesh.msh")
opts.hfun_file = \
os.path.join(dst_path, "spac.msh")
#------------------------------------ define JIGSAW geometry
geom.mshID = "ellipsoid-mesh"
geom.radii = np.full(3, 6.371E+003, dtype=geom.REALS_t)
jigsawpy.savemsh(opts.geom_file, geom)
#------------------------------------ define spacing pattern
jigsawpy.loadmsh(os.path.join(src_path, "topo.msh"), topo)
hmat.mshID = "ellipsoid-grid"
hmat.radii = geom.radii
hmat.xgrid = topo.xgrid * np.pi / 180.
hmat.ygrid = topo.ygrid * np.pi / 180.
hfn0 = +150. # global spacing
hfn2 = +33. # adapt. spacing
hfn3 = +67. # arctic spacing
hmat.value = np.sqrt(np.maximum(-topo.value, 0.0))
hmat.value = \
np.maximum(hmat.value, hfn2)
hmat.value = \
np.minimum(hmat.value, hfn3)
mask = hmat.ygrid < 40. * np.pi / 180.
hmat.value[mask] = hfn0
#------------------------------------ set HFUN grad.-limiter
hmat.slope = np.full( # |dH/dx| limits
topo.value.shape, +0.050, dtype=hmat.REALS_t)
jigsawpy.savemsh(opts.hfun_file, hmat)
jigsawpy.cmd.marche(opts, hmat)
#------------------------------------ make mesh using JIGSAW
opts.hfun_scal = "absolute"
opts.hfun_hmax = float("inf") # null HFUN limits
opts.hfun_hmin = float(+0.00)
opts.mesh_dims = +2 # 2-dim. simplexes
opts.optm_qlim = +9.5E-01 # tighter opt. tol
opts.optm_iter = +32
opts.optm_qtol = +1.0E-05
jigsawpy.cmd.tetris(opts, 3, mesh)
scr2 = jigsawpy.triscr2( # "quality" metric
mesh.point["coord"], mesh.tria3["index"])
#------------------------------------ save mesh for Paraview
apos = jigsawpy.R3toS2(geom.radii, mesh.point["coord"][:])
apos = apos * 180. / np.pi
zfun = interpolate.RectBivariateSpline(topo.ygrid, topo.xgrid, topo.value)
mesh.value = zfun(apos[:, 1], apos[:, 0], grid=False)
cell = mesh.tria3["index"]
zmsk = \
mesh.value[cell[:, 0]] + \
mesh.value[cell[:, 1]] + \
mesh.value[cell[:, 2]]
zmsk = zmsk / +3.0
mesh.tria3 = mesh.tria3[zmsk < +0.]
print("Saving to ../cache/case_4a.vtk")
jigsawpy.savevtk(os.path.join(dst_path, "case_4a.vtk"), mesh)
print("Saving to ../cache/case_4b.vtk")
jigsawpy.savevtk(os.path.join(dst_path, "case_4b.vtk"), hmat)
return
def ex_3():
# DEMO-3: generate a grid based on the "HR" spacing pattern,
# developed by the FESOM team at AWI.
dst_path = \
os.path.abspath(
os.path.dirname(__file__))
src_path = \
os.path.join(dst_path, "..", "files")
dst_path = \
os.path.join(dst_path, "..", "cache")
opts = jigsawpy.jigsaw_jig_t()
topo = jigsawpy.jigsaw_msh_t()
geom = jigsawpy.jigsaw_msh_t()
hfun = jigsawpy.jigsaw_msh_t()
mesh = jigsawpy.jigsaw_msh_t()
#------------------------------------ setup files for JIGSAW
opts.geom_file = \
os.path.join(src_path, "eSPH.msh")
opts.jcfg_file = \
os.path.join(dst_path, "eSPH.jig")
opts.mesh_file = \
os.path.join(dst_path, "mesh.msh")
opts.hfun_file = \
os.path.join(dst_path, "spac.msh")
#------------------------------------ define JIGSAW geometry
geom.mshID = "ellipsoid-mesh"
geom.radii = np.full(
3, 6.371E+003, dtype=geom.REALS_t)
jigsawpy.savemsh(opts.geom_file, geom)
#------------------------------------ define spacing pattern
jigsawpy.loadmsh(os.path.join(
src_path, "f_hr.msh"), hfun)
hfun.value = +3. * hfun.value # for fast example
jigsawpy.savemsh(opts.hfun_file, hfun)
#------------------------------------ make mesh using JIGSAW
opts.hfun_scal = "absolute"
opts.hfun_hmax = float("inf") # null HFUN limits
opts.hfun_hmin = float(+0.00)
opts.mesh_dims = +2 # 2-dim. simplexes
opts.optm_qlim = +9.5E-01 # tighter opt. tol
opts.optm_iter = +32
opts.optm_qtol = +1.0E-05
jigsawpy.cmd.jigsaw(opts, mesh)
#------------------------------------ save mesh for Paraview
jigsawpy.loadmsh(os.path.join(
src_path, "topo.msh"), topo)
#------------------------------------ a very rough land mask
apos = jigsawpy.R3toS2(
geom.radii, mesh.point["coord"][:])
apos = apos * 180. / np.pi
zfun = interpolate.RectBivariateSpline(
topo.ygrid, topo.xgrid, topo.value)
mesh.value = zfun(
apos[:, 1], apos[:, 0], grid=False)
cell = mesh.tria3["index"]
zmsk = \
mesh.value[cell[:, 0]] + \
mesh.value[cell[:, 1]] + \
mesh.value[cell[:, 2]]
zmsk = zmsk / +3.0
mesh.tria3 = mesh.tria3[zmsk < +0.]
print("Saving to ../cache/case_3a.vtk")
jigsawpy.savevtk(os.path.join(
dst_path, "case_3a.vtk"), mesh)
print("Saving to ../cache/case_3b.vtk")
jigsawpy.savevtk(os.path.join(
dst_path, "case_3b.vtk"), hfun)
return
def case_3_(src_path, dst_path):
# DEMO-3: generate multi-resolution spacing, via local refi-
# nement along coastlines and shallow ridges. Global grid
# resolution is 150KM, background resolution is 67KM and the
# min. adaptive resolution is 33KM.
opts = jigsawpy.jigsaw_jig_t()
topo = jigsawpy.jigsaw_msh_t()
geom = jigsawpy.jigsaw_msh_t()
hraw = jigsawpy.jigsaw_msh_t()
hlim = jigsawpy.jigsaw_msh_t()
#------------------------------------ setup files for JIGSAW
opts.geom_file = \
os.path.join(src_path, "eSPH.msh")
opts.jcfg_file = \
os.path.join(dst_path, "eSPH.jig")
opts.hfun_file = \
os.path.join(dst_path, "spac.msh")
#------------------------------------ define JIGSAW geometry
geom.mshID = "ellipsoid-mesh"
geom.radii = np.full(3, 6.371E+003, dtype=geom.REALS_t)
jigsawpy.savemsh(opts.geom_file, geom)
#------------------------------------ define spacing pattern
jigsawpy.loadmsh(os.path.join(src_path, "topo.msh"), topo)
hraw.mshID = "ellipsoid-grid"
hraw.radii = geom.radii
hraw.xgrid = topo.xgrid * np.pi / 180.
hraw.ygrid = topo.ygrid * np.pi / 180.
hfn0 = +150. # global spacing
hfn2 = +33. # adapt. spacing
hfn3 = +67. # arctic spacing
hraw.value = np.sqrt(np.maximum(-topo.value, 0.0))
hraw.value = \
np.maximum(hraw.value, hfn2)
hraw.value = \
np.minimum(hraw.value, hfn3)
mask = hraw.ygrid < 40. * np.pi / 180.
hraw.value[mask] = hfn0
#------------------------------------ set HFUN grad.-limiter
hlim = copy.copy(hraw)
hlim.slope = np.full( # |dH/dx| limits
topo.value.shape, +0.050, dtype=hlim.REALS_t)
jigsawpy.savemsh(opts.hfun_file, hlim)
jigsawpy.cmd.marche(opts, hlim)
#------------------------------------ save mesh for Paraview
print("Saving to ../cache/case_3a.vtk")
jigsawpy.savevtk(os.path.join(dst_path, "case_3a.vtk"), hraw)
print("Saving to ../cache/case_3b.vtk")
jigsawpy.savevtk(os.path.join(dst_path, "case_3b.vtk"), hlim)
return
def _opts(self):
return jigsaw_jig_t()
def getInitialMesh(topofile, meshfile, spacefile, outfile, dst_path, hfn):
t0 = process_time()
opts = jigsawpy.jigsaw_jig_t()
topo = jigsawpy.jigsaw_msh_t()
geom = jigsawpy.jigsaw_msh_t()
mesh = jigsawpy.jigsaw_msh_t()
hmat = jigsawpy.jigsaw_msh_t()
jigsawpy.loadmsh(topofile, topo)
print("Load topography grid (%0.02f seconds)" % (process_time() - t0))
t0 = process_time()
opts.geom_file = os.path.join(dst_path, "topology.msh")
opts.jcfg_file = os.path.join(dst_path, "config.jig")
opts.mesh_file = meshfile
opts.hfun_file = spacefile
geom.mshID = "ellipsoid-mesh"
geom.radii = np.full(3, 6.371e003, dtype=geom.REALS_t)
jigsawpy.savemsh(opts.geom_file, geom)
hmat.mshID = "ellipsoid-grid"
hmat.radii = geom.radii
hmat.xgrid = topo.xgrid * np.pi / 180.0
hmat.ygrid = topo.ygrid * np.pi / 180.0
# Set HFUN gradient-limiter
hmat.value = np.full(topo.value.shape, hfn[0], dtype=hmat.REALS_t)
hmat.value[topo.value > -1000] = hfn[1]
hmat.value[topo.value > 0] = hfn[2]
hmat.slope = np.full(topo.value.shape, +0.050, dtype=hmat.REALS_t)
jigsawpy.savemsh(opts.hfun_file, hmat)
jigsawpy.cmd.marche(opts, hmat)
print("Build space function (%0.02f seconds)" % (process_time() - t0))
t0 = process_time()
opts.hfun_scal = "absolute"
opts.hfun_hmax = float("inf") # null HFUN limits
opts.hfun_hmin = float(+0.00)
opts.mesh_dims = +2 # 2-dim. simplexes
opts.optm_qlim = +9.5e-01 # tighter opt. tol
opts.optm_iter = +32
opts.optm_qtol = +1.0e-05
jigsawpy.cmd.tetris(opts, 3, mesh)
print("Perform triangulation (%0.02f seconds)" % (process_time() - t0))
t0 = process_time()
apos = jigsawpy.R3toS2(geom.radii, mesh.point["coord"][:])
apos = apos * 180.0 / np.pi
zfun = interpolate.RectBivariateSpline(topo.ygrid, topo.xgrid, topo.value)
mesh.value = zfun(apos[:, 1], apos[:, 0], grid=False)
jigsawpy.savevtk(outfile, mesh)
jigsawpy.savemsh(opts.mesh_file, mesh)
print("Get unstructured mesh (%0.02f seconds)" % (process_time() - t0))
return
def run(self, args):
# Get inputs
mesh_file = args.mesh
mesh_crs = args.mesh_crs
shape_path = args.shape
refine_upstream = args.upstream
refine_factor = args.factor
refine_cutoff = args.cutoff
contours = args.contours
patches = args.patches
constants = args.constants
sieve = args.sieve
interp = args.interpolate
out_path = args.output
out_format = args.output_format
nprocs = args.nprocs
# Process inputs
contour_defns = []
for contour in contours:
if len(contour) > 3:
raise ValueError(
"Invalid format for contour specification."
" It should be level [expansion target-size].")
level, expansion_rate, target_size = [
*contour, *[None] * (3 - len(contour))
]
contour_defns.append((level, expansion_rate, target_size))
patch_defns = []
for lower_bound, target_size in patches:
patch_defns.append((lower_bound, expansion_rate, target_size))
constant_defns = []
for lower_bound, target_size in constants:
constant_defns.append((lower_bound, target_size))
interp_rast_list = []
for dem in interp:
interp_rast_list.append(Raster(dem))
mesh = Mesh.open(mesh_file, crs=mesh_crs)
geom = Geom(deepcopy(mesh))
geom_jig = geom.msh_t()
initial_hfun = Hfun(deepcopy(mesh))
initial_hfun.size_from_mesh()
# DO NOT DEEPCOPY
initial_hfun_jig = initial_hfun.msh_t()
ref_crs = initial_hfun_jig.crs
utils.reproject(geom_jig, ref_crs)
init_jig = None
# If there's an input shape, refine in the shape, otherwise
# refine the whole domain by the factor
if shape_path or refine_cutoff is not None:
mesh_poly = mesh.hull.multipolygon()
gdf_mesh_poly = gpd.GeoDataFrame(geometry=gpd.GeoSeries(mesh_poly),
crs=mesh.crs)
if shape_path:
gdf_shape = gpd.read_file(shape_path)
gdf_shape = gdf_shape.to_crs(mesh.crs)
gdf_to_refine = gpd.overlay(gdf_mesh_poly,
gdf_shape,
how='intersection')
gdf_diff = gpd.overlay(gdf_mesh_poly,
gdf_shape,
how='difference')
diff_polys = []
for geom in gdf_diff.geometry:
if isinstance(geom, Polygon):
diff_polys.append(geom)
elif isinstance(geom, MultiPolygon):
diff_polys.extend(geom)
if refine_upstream:
# TODO: Check for multipolygon and single polygon in multi assumption
area_ref = 0.05 * np.sum(
[i.area for i in gdf_to_refine.geometry])
upstream_polys = []
for ipoly in diff_polys:
if ipoly.area < area_ref:
upstream_polys.append(ipoly)
if upstream_polys:
gdf_upstream = gpd.GeoDataFrame(
geometry=gpd.GeoSeries(upstream_polys),
crs=gdf_diff.crs)
gdf_to_refine = gpd.overlay(gdf_upstream,
gdf_to_refine,
how='union')
else:
gdf_to_refine = gdf_mesh_poly
gdf_to_refine = gdf_to_refine.to_crs(ref_crs)
if refine_cutoff is not None:
cutoff_mp = mesh.get_multipolygon(zmin=refine_cutoff)
cutoff_gdf = gpd.GeoDataFrame(
geometry=gpd.GeoSeries(cutoff_mp), crs=mesh.crs)
cutoff_gdf = cutoff_gdf.to_crs(ref_crs)
gdf_to_refine = gpd.overlay(gdf_to_refine,
cutoff_gdf,
how='intersection')
refine_polys = gdf_to_refine.unary_union
# Initial mesh for the refinement (all except refinement area)
init_jig = deepcopy(mesh.msh_t)
utils.reproject(init_jig, ref_crs)
utils.clip_mesh_by_shape(init_jig,
refine_polys,
fit_inside=True,
inverse=True,
in_place=True)
# Fix elements in the inital mesh that are NOT clipped by refine
# polygon
init_jig.vert2['IDtag'][:] = -1
# Preparing refinement size function
vert_in = utils.get_verts_in_shape(initial_hfun_jig, refine_polys)
# Reduce hfun by factor in refinement area; modifying in-place
refine_hfun_jig = utils.clip_mesh_by_shape(initial_hfun_jig,
refine_polys,
fit_inside=False)
utils.clip_mesh_by_shape(initial_hfun_jig,
refine_polys,
fit_inside=True,
inverse=True,
in_place=True)
else:
# Refine the whole domain by factor
refine_hfun_jig = deepcopy(initial_hfun_jig)
# Prepare refinement size function with additional criteria
refine_hfun_jig.value[:] = refine_hfun_jig.value / refine_factor
hfun_refine = Hfun(Mesh(deepcopy(refine_hfun_jig)))
transformer = Transformer.from_crs(mesh.crs, ref_crs, always_xy=True)
for level, expansion_rate, target_size in contour_defns:
if expansion_rate is None:
expansion_rate = 0.1
if target_size is None:
target_size = np.min(refine_hfun_jig.value)
refine_ctr = mesh.get_contour(level=level)
refine_ctr = transform(transformer.transform, refine_ctr)
hfun_refine.add_feature(refine_ctr,
expansion_rate,
target_size,
nprocs=nprocs)
for lower_bound, expansion_rate, target_size in patch_defns:
refine_mp = mesh.get_multipolygon(zmin=lower_bound)
refine_mp = transform(transformer.transform, refine_mp)
hfun_refine.add_patch(refine_mp, expansion_rate, target_size,
nprocs)
for lower_bound, target_size in constant_defns:
refine_mp = mesh.get_multipolygon(zmin=lower_bound)
refine_mp = transform(transformer.transform, refine_mp)
hfun_refine.add_patch(refine_mp, None, target_size, nprocs)
refine_hfun_jig = hfun_refine.msh_t()
utils.reproject(refine_hfun_jig, ref_crs)
final_hfun_jig = utils.merge_msh_t(initial_hfun_jig,
refine_hfun_jig,
out_crs=ref_crs,
drop_by_bbox=False)
if not (geom_jig.crs == ref_crs and
(init_jig and init_jig.crs == ref_crs)):
raise ValueError(
"CRS for geometry, hfun and init mesh is not the same")
opts = jigsawpy.jigsaw_jig_t()
opts.hfun_scal = "absolute"
opts.hfun_hmin = np.min(final_hfun_jig.value)
opts.hfun_hmax = np.max(final_hfun_jig.value)
opts.mesh_dims = +2
remesh_jig = jigsawpy.jigsaw_msh_t()
remesh_jig.mshID = 'euclidean-mesh'
remesh_jig.ndims = 2
remesh_jig.crs = init_jig.crs
jigsawpy.lib.jigsaw(opts,
geom_jig,
remesh_jig,
init=init_jig,
hfun=final_hfun_jig)
utils.finalize_mesh(remesh_jig, sieve)
# Interpolate from inpu mesh and DEM if any
utils.interpolate_euclidean_mesh_to_euclidean_mesh(
mesh.msh_t, remesh_jig)
final_mesh = Mesh(remesh_jig)
if interp_rast_list:
final_mesh.interpolate(interp_rast_list, nprocs=nprocs)
# Write to disk
final_mesh.write(str(out_path), format=out_format, overwrite=True)
def case_5_(src_path, dst_path):
opts = jigsawpy.jigsaw_jig_t()
geom = jigsawpy.jigsaw_msh_t()
mesh = jigsawpy.jigsaw_msh_t()
hmat = jigsawpy.jigsaw_msh_t()
#------------------------------------ setup files for JIGSAW
opts.geom_file = \
os.path.join(src_path, "airfoil.msh")
opts.jcfg_file = \
os.path.join(dst_path, "airfoil.jig")
opts.mesh_file = \
os.path.join(dst_path, "airfoil.msh")
opts.hfun_file = \
os.path.join(dst_path, "spacing.msh")
#------------------------------------ compute HFUN over GEOM
jigsawpy.loadmsh(opts.geom_file, geom)
xgeo = geom.vert2["coord"][:, 0]
ygeo = geom.vert2["coord"][:, 1]
xpos = np.linspace(xgeo.min(), xgeo.max(), 80)
ypos = np.linspace(ygeo.min(), ygeo.max(), 40)
xmat, ymat = np.meshgrid(xpos, ypos)
fun1 = \
+0.1 * (xmat - .40) ** 2 + \
+2.0 * (ymat - .55) ** 2
fun2 = \
+0.7 * (xmat - .75) ** 2 + \
+0.7 * (ymat - .45) ** 2
hfun = np.minimum(fun1, fun2)
hmin = 0.01
hmax = 0.10
hfun = 0.4 * np.maximum(np.minimum(hfun, hmax), hmin)
hmat.mshID = "euclidean-grid"
hmat.ndims = +2
hmat.xgrid = np.array(xpos, dtype=hmat.REALS_t)
hmat.ygrid = np.array(ypos, dtype=hmat.REALS_t)
hmat.value = np.array(hfun, dtype=hmat.REALS_t)
jigsawpy.savemsh(opts.hfun_file, hmat)
#------------------------------------ make mesh using JIGSAW
opts.hfun_scal = "absolute"
opts.hfun_hmax = float("inf") # null HFUN limits
opts.hfun_hmin = float(+0.00)
opts.mesh_kern = "delfront" # DELFRONT kernel
opts.mesh_dims = +2
opts.geom_feat = True
opts.mesh_top1 = True
jigsawpy.cmd.jigsaw(opts, mesh)
print("Saving case_5a.vtk file.")
jigsawpy.savevtk(os.path.join(dst_path, "case_5a.vtk"), hmat)
print("Saving case_5b.vtk file.")
jigsawpy.savevtk(os.path.join(dst_path, "case_5b.vtk"), mesh)
return
def waves_mesh(cfg):
pwd = os.getcwd()
src_path = pwd
dst_path = pwd
opts = jigsawpy.jigsaw_jig_t()
hfun = jigsawpy.jigsaw_msh_t()
mesh = jigsawpy.jigsaw_msh_t()
init = jigsawpy.jigsaw_msh_t()
#------------------------------------ setup files for JIGSAW
opts.geom_file = \
str(Path(dst_path)/"geom.msh") # GEOM file
opts.jcfg_file = \
str(Path(dst_path)/"jcfg.jig") # JCFG file
opts.hfun_file = \
str(Path(dst_path)/"hfun.msh") # HFUN file
opts.mesh_file = \
str(Path(dst_path)/"mesh.msh") # MESH file
opts.init_file = \
str(Path(dst_path)/"init.msh") # INIT file
#------------------------------------ define JIGSAW geometry
if cfg['coastlines']:
print('Defining coastline geometry')
create_coastline_geometry(cfg['shpfiles'], opts.geom_file,
cfg['sphere_radius'])
else:
geom = jigsawpy.jigsaw_msh_t()
geom.mshID = 'ELLIPSOID-MESH'
geom.radii = cfg['sphere_radius'] * np.ones(3, float)
jigsawpy.savemsh(opts.geom_file, geom)
#------------------------------------ define mesh size function
print('Defining mesh size function')
lon_min = -180.0
lon_max = 180.0
dlon = cfg['hfun_grid_spacing']
nlon = int((lon_max - lon_min) / dlon) + 1
lat_min = -90.0
lat_max = 90.0
nlat = int((lat_max - lat_min) / dlon) + 1
dlat = cfg['hfun_grid_spacing']
xlon = np.linspace(lon_min, lon_max, nlon)
ylat = np.linspace(lat_min, lat_max, nlat)
print(' hfun grid dimensions: {}, {}'.format(xlon.size, ylat.size))
define_hfunction.depth_threshold_refined = cfg['depth_threshold_refined']
define_hfunction.distance_threshold_refined = cfg[
'distance_threshold_refined']
define_hfunction.depth_threshold_global = cfg['depth_threshold_global']
define_hfunction.distance_threshold_global = cfg[
'distance_threshold_global']
define_hfunction.refined_res = cfg['refined_res']
define_hfunction.maxres = cfg['maxres']
hfunction = define_hfunction.cell_widthVsLatLon(xlon, ylat,
cfg['shpfiles'],
cfg['sphere_radius'],
cfg['ocean_mesh'])
hfunction = hfunction / km
hfun.mshID = "ellipsoid-grid"
hfun.radii = np.full(3,
cfg['sphere_radius'],
dtype=jigsawpy.jigsaw_msh_t.REALS_t)
hfun.xgrid = np.radians(xlon)
hfun.ygrid = np.radians(ylat)
hfun.value = hfunction.astype(jigsawpy.jigsaw_msh_t.REALS_t)
#------------------------------------ specify JIGSAW initial conditions
print('Specifying initial fixed coordinate locations')
create_initial_points(cfg['ocean_mesh'], xlon, ylat, hfunction,
cfg['sphere_radius'], opts.init_file)
jigsawpy.loadmsh(opts.init_file, init)
jigsawpy.savevtk(str(Path(dst_path) / "init.vtk"), init)
#------------------------------------ set HFUN grad.-limiter
print('Limiting mesh size function gradients')
hfun.slope = np.full( # |dH/dx| limits
hfun.value.shape,
cfg['hfun_slope_lim'],
dtype=hfun.REALS_t)
jigsawpy.savemsh(opts.hfun_file, hfun)
jigsawpy.cmd.marche(opts, hfun)
#------------------------------------ make mesh using JIGSAW
opts.hfun_scal = "absolute"
opts.hfun_hmax = float("inf") # null HFUN limits
opts.hfun_hmin = float(+0.00)
opts.mesh_dims = +2 # 2-dim. simplexes
opts.mesh_eps1 = +.67 # relax edge error
opts.mesh_rad2 = +1.2
opts.optm_qlim = +9.5E-01 # tighter opt. tol
opts.optm_iter = +32
opts.optm_qtol = +1.0E-05
opts.verbosity = 2
#jigsawpy.cmd.tetris(opts, 3, mesh)
jigsawpy.cmd.jigsaw(opts, mesh)
if cfg['coastlines']:
segment.segment(mesh)
#------------------------------------ save mesh for Paraview
print("Writing ex_h.vtk file.")
jigsawpy.savevtk(str(Path(dst_path) / "_hfun.vtk"), hfun)
jigsawpy.savevtk(str(Path(dst_path) / "waves_mesh.vtk"), mesh)
jigsawpy.savemsh(str(Path(dst_path) / "waves_mesh.msh"), mesh)
#------------------------------------ convert mesh to MPAS format
jigsaw_to_netcdf(msh_filename='waves_mesh.msh',
output_name='waves_mesh_triangles.nc',
on_sphere=True,
sphere_radius=cfg['sphere_radius'])
write_netcdf(
convert(xarray.open_dataset('waves_mesh_triangles.nc'),
dir='./',
logger=None), 'waves_mesh.nc')
#------------------------------------ cull mesh to ocean bounary
if os.path.exists('./cull_waves_mesh'):
f = open('cull_waves_mesh.nml', 'w')
f.write('&inputs\n')
f.write(" waves_mesh_file = 'waves_mesh.nc'\n")
f.write(" ocean_mesh_file = '" + cfg['ocean_mesh'] + "'\n")
f.write("/\n")
f.write('&output\n')
f.write(" waves_mesh_culled_vtk = 'waves_mesh_culled.vtk'\n")
f.write(" waves_mesh_culled_gmsh = 'waves_mesh_culled.msh'\n")
f.write("/\n")
f.close()
subprocess.call('./cull_waves_mesh', shell=True)
#------------------------------------ output ocean mesh polygons
subprocess.call('paraview_vtk_field_extractor.py -f ' + cfg['ocean_mesh'] +
' --ignore_time -v areaCell -o ' + cfg['ocean_mesh'] +
'.vtk',
shell=True)
return
