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# ##### BEGIN GPL LICENSE BLOCK #####
#
# This program is free software; you can redistribute it and/or
# modify it under the terms of the GNU General Public License
# as published by the Free Software Foundation; either version 2
# of the License, or (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program; if not, write to the Free Software Foundation,
# Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
#
# ##### END GPL LICENSE BLOCK #####
# <pep8-80 compliant>
__all__ = (
"region_2d_to_vector_3d",
"region_2d_to_origin_3d",
"region_2d_to_location_3d",
"location_3d_to_region_2d",
)
def region_2d_to_vector_3d(region, rv3d, coord):
"""
Return a direction vector from the viewport at the specific 2d region
coordinate.
:arg region: region of the 3D viewport, typically bpy.context.region.
:type region: :class:`bpy.types.Region`
:arg rv3d: 3D region data, typically bpy.context.space_data.region_3d.
:type rv3d: :class:`bpy.types.RegionView3D`
:arg coord: 2d coordinates relative to the region:
(event.mouse_region_x, event.mouse_region_y) for example.
:type coord: 2d vector
:return: normalized 3d vector.
:rtype: :class:`mathutils.Vector`
"""
from mathutils import Vector
viewinv = rv3d.view_matrix.inverted()
if rv3d.is_perspective:
persinv = rv3d.perspective_matrix.inverted()
out = Vector(((2.0 * coord[0] / region.width) - 1.0,
(2.0 * coord[1] / region.height) - 1.0,
-0.5
))
w = out.dot(persinv[3].xyz) + persinv[3][3]
view_vector = ((persinv * out) / w) - viewinv.translation
else:
view_vector = -viewinv.col[2].xyz
view_vector.normalize()
return view_vector
def region_2d_to_origin_3d(region, rv3d, coord):
"""
Return the 3d view origin from the region relative 2d coords.
:arg region: region of the 3D viewport, typically bpy.context.region.
:type region: :class:`bpy.types.Region`
:arg rv3d: 3D region data, typically bpy.context.space_data.region_3d.
:type rv3d: :class:`bpy.types.RegionView3D`
:arg coord: 2d coordinates relative to the region;
(event.mouse_region_x, event.mouse_region_y) for example.
:type coord: 2d vector
:return: The origin of the viewpoint in 3d space.
:rtype: :class:`mathutils.Vector`
"""
viewinv = rv3d.view_matrix.inverted()
if rv3d.is_perspective:
origin_start = viewinv.translation.copy()
else:
persmat = rv3d.perspective_matrix.copy()
dx = (2.0 * coord[0] / region.width) - 1.0
dy = (2.0 * coord[1] / region.height) - 1.0
persinv = persmat.inverted()
origin_start = ((persinv.col[0].xyz * dx) +
(persinv.col[1].xyz * dy) +
viewinv.translation)
return origin_start
def region_2d_to_location_3d(region, rv3d, coord, depth_location):
"""
Return a 3d location from the region relative 2d coords, aligned with
*depth_location*.
:arg region: region of the 3D viewport, typically bpy.context.region.
:type region: :class:`bpy.types.Region`
:arg rv3d: 3D region data, typically bpy.context.space_data.region_3d.
:type rv3d: :class:`bpy.types.RegionView3D`
:arg coord: 2d coordinates relative to the region;
(event.mouse_region_x, event.mouse_region_y) for example.
:type coord: 2d vector
:arg depth_location: the returned vectors depth is aligned with this since
there is no defined depth with a 2d region input.
:type depth_location: 3d vector
:return: normalized 3d vector.
:rtype: :class:`mathutils.Vector`
"""
from mathutils import Vector
coord_vec = region_2d_to_vector_3d(region, rv3d, coord)
depth_location = Vector(depth_location)
origin_start = region_2d_to_origin_3d(region, rv3d, coord)
origin_end = origin_start + coord_vec
if rv3d.is_perspective:
from mathutils.geometry import intersect_line_plane
viewinv = rv3d.view_matrix.inverted()
view_vec = viewinv.col[2].copy()
return intersect_line_plane(origin_start,
origin_end,
depth_location,
view_vec, 1,
)
else:
from mathutils.geometry import intersect_point_line
return intersect_point_line(depth_location,
origin_start,
origin_end,
)[0]
def location_3d_to_region_2d(region, rv3d, coord):
"""
Return the *region* relative 2d location of a 3d position.
:arg region: region of the 3D viewport, typically bpy.context.region.
:type region: :class:`bpy.types.Region`
:arg rv3d: 3D region data, typically bpy.context.space_data.region_3d.
:type rv3d: :class:`bpy.types.RegionView3D`
:arg coord: 3d worldspace location.
:type coord: 3d vector
:return: 2d location
:rtype: :class:`mathutils.Vector`
"""
from mathutils import Vector
prj = rv3d.perspective_matrix * Vector((coord[0], coord[1], coord[2], 1.0))
if prj.w > 0.0:
width_half = region.width / 2.0
height_half = region.height / 2.0
return Vector((width_half + width_half * (prj.x / prj.w),
height_half + height_half * (prj.y / prj.w),
))
else:
return None
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