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#! /usr/bin/env python3
Copyright (C) 2019 Grant Patterson <>
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
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., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
from math import copysign, cos, pi, sin
from inkex import Transform
def rotate_matrix(node, a):
bbox = node.bounding_box()
cx = bbox.center_x / 2.0
cy = bbox.center_y / 2.0
return Transform([[cos(a), -sin(a), cx], [sin(a), cos(a), cy]]) * Transform([[1, 0, -cx], [0, 1, -cy]])
def optimal_rotations(node, precision):
step = pi / float(precision)
bbox = node.bounding_box()
min_width = bbox.right - bbox.left
min_width_angle = None
min_bbox_area = min_width * (bbox.bottom -
min_bbox_area_angle = None
for i in range(precision):
angle = -pi/2.0 + i*step
rotated = node.bounding_box(rotate_matrix(node, angle))
width = rotated.width
height = rotated.height
bbox_area = width * height
if width < min_width:
min_width = width
min_width_angle = angle
if bbox_area < min_bbox_area:
if width > height:
# To keep results similar to min_width_angle, rotate by an
# additional 90 degrees which doesn't affect bbox area.
angle -= copysign(pi/2.0, angle)
min_bbox_area = bbox_area
min_bbox_area_angle = angle
return min_width_angle, min_bbox_area_angle