237 lines
6.2 KiB
Python
237 lines
6.2 KiB
Python
import sys
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from collections import defaultdict
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from xml.dom.minidom import Document
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import numpy as np
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from scipy.spatial import KDTree
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from interp.baker import run_baker
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import interp.grid.simplex
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import logging
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log = logging.getLogger("interp")
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class grid(object):
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def __init__(self, verts = None, q = None):
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"""
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verts = array of arrays (if passed in, will convert to numpy.array)
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[
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[x0,y0],
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[x1,y1], ...
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]
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q = array (1D) of physical values
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"""
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if verts != None:
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self.verts = np.array(verts)
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self.tree = KDTree(self.verts)
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if q != None:
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self.q = np.array(q)
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self.cells = {}
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self.cells_for_vert = defaultdict(list)
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def get_containing_simplex(self, X):
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if not self.cells:
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raise Exception("cell connectivity is not set up")
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# get closest point
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(dist, indicies) = self.tree.query(X, 2)
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closest_point = indicies[0]
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log.debug('X: %s' % X)
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log.debug('point index: %d' % closest_point)
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log.debug('actual point %s' % self.verts[closest_point])
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log.debug('distance = %0.4f' % dist[0])
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simplex = None
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checked_cells = []
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cells_to_check = list(self.cells_for_vert[closest_point])
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attempts = 0
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while not simplex and cells_to_check:
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attempts += 1
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if attempts > 200:
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raise Exception("Is the search becoming exhaustive?")
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cur_cell = cells_to_check.pop(0)
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checked_cells.append(cur_cell)
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if cur_cell.contains(X, self):
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simplex = cur_cell
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continue
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for neighbor in cur_cell.neighbors:
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if (neighbor not in checked_cells) and (neighbor not in cells_to_check):
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cells_to_check.append(neighbor)
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if not simplex:
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raise Exception('no containing simplex found')
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log.debug("simplex vert indicies: %s" % simplex.verts)
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R = self.create_mesh(simplex.verts)
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log.debug('total attempts before finding simplex: %d' % attempts)
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return R
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def create_mesh(self, indicies):
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"""
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this function takes a list of indicies, and then creates
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and returns a grid object (collection of verts and q).
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note: the input is indicies, the grid contains verts
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"""
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p = [self.verts[i] for i in indicies]
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q = [self.q[i] for i in indicies]
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return grid(p, q)
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def get_simplex_and_nearest_points(self, X, extra_points = 3, simplex_size = 3):
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"""
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this returns two grid objects: R and S.
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R is a grid object that is supposedly a containing simplex
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around point X (TODO: it tends not to be)
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S is S_j from baker's paper : some verts from all point that are not the simplex
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"""
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log.debug("extra verts: %d" % extra_points)
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log.debug("simplex size: %d" % simplex_size)
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r_mesh = self.get_containing_simplex(X)
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# and some UNIQUE extra verts
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(dist, indicies) = self.tree.query(X, simplex_size + extra_points)
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log.debug("extra indicies: %s" % indicies)
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unique_indicies = []
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for index in indicies:
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close_point_in_R = False
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for rvert in r_mesh.verts:
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if all(rvert == self.verts[index]):
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close_point_in_R = True
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break
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if not close_point_in_R:
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unique_indicies.append(index)
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else:
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log.debug('throwing out %s: %s' % (index, self.verts[index]))
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log.debug("indicies: %s" % indicies)
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log.debug("unique indicies: %s" % unique_indicies)
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s_mesh = self.create_mesh(unique_indicies)
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return (r_mesh, s_mesh)
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def run_baker(self, X, extra_points = 3, order = 2):
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(R, S) = self.get_simplex_and_nearest_points(X, extra_points)
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answer = run_baker(X, R, S, order)
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return answer
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def for_qhull_generator(self):
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"""
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this returns a generator that should be fed into qdelaunay
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"""
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yield str(len(self.verts[0]));
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yield '%d' % len(self.verts)
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for p in self.verts:
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yield "%f %f %f" % tuple(p)
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def for_qhull(self):
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"""
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this returns a single string that should be fed into qdelaunay
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"""
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r = '%d\n' % len(self.verts[0])
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r += '%d\n' % len(self.verts)
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for p in self.verts:
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# r += "%f %f %f\n" % tuple(p)
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r += "%s\n" % " ".join("%f" % i for i in p)
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return r
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def __str__(self):
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r = ''
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assert( len(self.verts) == len(self.q) )
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for c, i in enumerate(zip(self.verts, self.q)):
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r += "%d vert(%s): q(%0.4f)" % (c,i[0], i[1])
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cell_str = ", ".join([str(f.name) for f in self.cells_for_vert[c]])
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r += " cells: [%s]" % cell_str
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r += "\n"
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if self.cells:
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for v in self.cells.itervalues():
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r += "%s\n" % v
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return r
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def normalize_q(self, new_max = 0.1):
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largest_number = np.max(np.abs(self.q))
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self.q *= new_max/largest_number
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def get_xml(self):
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doc = Document()
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ps = doc.createElement("points")
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doc.appendChild(ps)
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for i in zip(self.verts, self.q):
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p = doc.createElement("point")
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p.setAttribute("x", str(i[0][0]))
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p.setAttribute('y', str(i[0][1]))
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p.setAttribute('z', str(i[0][2]))
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p.setAttribute('q', str(i[1] ))
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ps.appendChild(p)
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return doc
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def toxml(self):
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return self.get_xml().toxml()
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def toprettyxml(self):
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return self.get_xml().toprettyxml()
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class cell(object):
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def __init__(self, name):
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self.name = name
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self.verts = []
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self.neighbors = []
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def add_vert(self, v):
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"""
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v should be an index into grid.verts
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"""
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self.verts.append(v)
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def add_neighbor(self, n):
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"""
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reference to another cell object
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"""
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self.neighbors.append(n)
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def contains(self, X, G):
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"""
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X = point of interest
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G = corrensponding grid object (G.verts)
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because of the way i'm storing things,
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a cell simply stores indicies, and so one
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must pass in a reference to the grid object
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containing real verts.
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this simply calls grid.simplex.contains
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"""
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return interp.grid.simplex.contains(X, [G.verts[i] for i in self.verts])
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def __str__(self):
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neighbors = [str(i.name) for i in self.neighbors]
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return '<cell %s: verts: %s neighbors: [%s]>' %\
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(
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self.name,
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self.verts,
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", ".join(neighbors)
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)
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__repr__ = __str__
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