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-# coding: utf-8
-# /*##########################################################################
-#
-# Copyright (c) 2014-2019 European Synchrotron Radiation Facility
-#
-# Permission is hereby granted, free of charge, to any person obtaining a copy
-# of this software and associated documentation files (the "Software"), to deal
-# in the Software without restriction, including without limitation the rights
-# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
-# copies of the Software, and to permit persons to whom the Software is
-# furnished to do so, subject to the following conditions:
-#
-# The above copyright notice and this permission notice shall be included in
-# all copies or substantial portions of the Software.
-#
-# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
-# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
-# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
-# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
-# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
-# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
-# THE SOFTWARE.
-#
-# ###########################################################################*/
-"""This module provides conversion functions between OpenGL and numpy types.
-"""
-
-__authors__ = ["T. Vincent"]
-__license__ = "MIT"
-__date__ = "10/01/2017"
-
-import numpy
-
-from OpenGL.constants import BYTE_SIZES as _BYTE_SIZES
-from OpenGL.constants import ARRAY_TO_GL_TYPE_MAPPING as _ARRAY_TO_GL_TYPE_MAPPING
-
-
-def sizeofGLType(type_):
- """Returns the size in bytes of an element of type `type_`"""
- return _BYTE_SIZES[type_]
-
-
-def isSupportedGLType(type_):
- """Test if a numpy type or dtype can be converted to a GL type."""
- return numpy.dtype(type_).char in _ARRAY_TO_GL_TYPE_MAPPING
-
-
-def numpyToGLType(type_):
- """Returns the GL type corresponding the provided numpy type or dtype."""
- return _ARRAY_TO_GL_TYPE_MAPPING[numpy.dtype(type_).char]
-
-
-def segmentTrianglesIntersection(segment, triangles):
- """Check for segment/triangles intersection.
-
- This is based on signed tetrahedron volume comparison.
-
- See A. Kensler, A., Shirley, P.
- Optimizing Ray-Triangle Intersection via Automated Search.
- Symposium on Interactive Ray Tracing, vol. 0, p33-38 (2006)
-
- :param numpy.ndarray segment:
- Segment end points as a 2x3 array of coordinates
- :param numpy.ndarray triangles:
- Nx3x3 array of triangles
- :return: (triangle indices, segment parameter, barycentric coord)
- Indices of intersected triangles, "depth" along the segment
- of the intersection point and barycentric coordinates of intersection
- point in the triangle.
- :rtype: List[numpy.ndarray]
- """
- # TODO triangles from vertices + indices
- # TODO early rejection? e.g., check segment bbox vs triangle bbox
- segment = numpy.asarray(segment)
- assert segment.ndim == 2
- assert segment.shape == (2, 3)
-
- triangles = numpy.asarray(triangles)
- assert triangles.ndim == 3
- assert triangles.shape[1] == 3
-
- # Test line/triangles intersection
- d = segment[1] - segment[0]
- t0s0 = segment[0] - triangles[:, 0, :]
- edge01 = triangles[:, 1, :] - triangles[:, 0, :]
- edge02 = triangles[:, 2, :] - triangles[:, 0, :]
-
- dCrossEdge02 = numpy.cross(d, edge02)
- t0s0CrossEdge01 = numpy.cross(t0s0, edge01)
- volume = numpy.sum(dCrossEdge02 * edge01, axis=1)
- del edge01
- subVolumes = numpy.empty((len(triangles), 3), dtype=triangles.dtype)
- subVolumes[:, 1] = numpy.sum(dCrossEdge02 * t0s0, axis=1)
- del dCrossEdge02
- subVolumes[:, 2] = numpy.sum(t0s0CrossEdge01 * d, axis=1)
- subVolumes[:, 0] = volume - subVolumes[:, 1] - subVolumes[:, 2]
- intersect = numpy.logical_or(
- numpy.all(subVolumes >= 0., axis=1), # All positive
- numpy.all(subVolumes <= 0., axis=1)) # All negative
- intersect = numpy.where(intersect)[0] # Indices of intersected triangles
-
- # Get barycentric coordinates
- barycentric = subVolumes[intersect] / volume[intersect].reshape(-1, 1)
- del subVolumes
-
- # Test segment/triangles intersection
- volAlpha = numpy.sum(t0s0CrossEdge01[intersect] * edge02[intersect], axis=1)
- t = volAlpha / volume[intersect] # segment parameter of intersected triangles
- del t0s0CrossEdge01
- del edge02
- del volAlpha
- del volume
-
- inSegmentMask = numpy.logical_and(t >= 0., t <= 1.)
- intersect = intersect[inSegmentMask]
- t = t[inSegmentMask]
- barycentric = barycentric[inSegmentMask]
-
- # Sort intersecting triangles by t
- indices = numpy.argsort(t)
- return intersect[indices], t[indices], barycentric[indices]