* Closes #113 Previous fix stopped working because numpy is more liberal dividing by zero and returning nan values. * Closes #71 * Closes #95 * Closes #94pull/149/head
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@ -18,7 +18,7 @@ from itertools import tee
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# in order to encourage code that generalizes to vector inputs
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from numpy import sqrt, cos, sin, tan, arccos as acos, arcsin as asin, \
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degrees, radians, log, pi, ceil
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from numpy import exp, sqrt as csqrt, angle as phase
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from numpy import exp, sqrt as csqrt, angle as phase, isnan
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try:
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from scipy.integrate import quad
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@ -898,31 +898,30 @@ class QuadraticBezier(object):
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if abs(a) < 1e-12:
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s = abs(b)*(t1 - t0)
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elif abs(a_dot_b + abs(a)*abs(b)) < 1e-12:
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tstar = abs(b)/(2*abs(a))
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if t1 < tstar:
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return abs(a)*(t0**2 - t1**2) - abs(b)*(t0 - t1)
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elif tstar < t0:
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return abs(a)*(t1**2 - t0**2) - abs(b)*(t1 - t0)
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else:
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return abs(a)*(t1**2 + t0**2) - abs(b)*(t1 + t0) + \
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abs(b)**2/(2*abs(a))
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else:
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c2 = 4*(a.real**2 + a.imag**2)
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c1 = 4*a_dot_b
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c0 = b.real**2 + b.imag**2
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c2 = 4 * (a.real ** 2 + a.imag ** 2)
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c1 = 4 * a_dot_b
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c0 = b.real ** 2 + b.imag ** 2
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beta = c1/(2*c2)
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gamma = c0/c2 - beta**2
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beta = c1 / (2 * c2)
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gamma = c0 / c2 - beta ** 2
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dq1_mag = sqrt(c2*t1**2 + c1*t1 + c0)
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dq0_mag = sqrt(c2*t0**2 + c1*t0 + c0)
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logarand = (sqrt(c2)*(t1 + beta) + dq1_mag) / \
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(sqrt(c2)*(t0 + beta) + dq0_mag)
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s = (t1 + beta)*dq1_mag - (t0 + beta)*dq0_mag + \
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gamma*sqrt(c2)*log(logarand)
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dq1_mag = sqrt(c2 * t1 ** 2 + c1 * t1 + c0)
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dq0_mag = sqrt(c2 * t0 ** 2 + c1 * t0 + c0)
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logarand = (sqrt(c2) * (t1 + beta) + dq1_mag) / \
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(sqrt(c2) * (t0 + beta) + dq0_mag)
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s = (t1 + beta) * dq1_mag - (t0 + beta) * dq0_mag + \
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gamma * sqrt(c2) * log(logarand)
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s /= 2
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if isnan(s):
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tstar = abs(b) / (2 * abs(a))
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if t1 < tstar:
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return abs(a) * (t0 ** 2 - t1 ** 2) - abs(b) * (t0 - t1)
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elif tstar < t0:
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return abs(a) * (t1 ** 2 - t0 ** 2) - abs(b) * (t1 - t0)
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else:
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return abs(a) * (t1 ** 2 + t0 ** 2) - abs(b) * (t1 + t0) + \
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abs(b) ** 2 / (2 * abs(a))
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if t0 == 1 and t1 == 0:
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self._length_info['length'] = s
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@ -2445,7 +2444,10 @@ class Path(MutableSequence):
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lengths = [each.length(error=error, min_depth=min_depth) for each in
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self._segments]
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self._length = sum(lengths)
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self._lengths = [each/self._length for each in lengths]
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if self._length == 0:
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self._lengths = lengths # all lengths are 0.
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else:
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self._lengths = [each / self._length for each in lengths]
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def point(self, pos):
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@ -2522,7 +2524,10 @@ class Path(MutableSequence):
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return self.start == self.end
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def _is_closable(self):
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try:
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end = self[-1].end
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except IndexError:
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return True
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for segment in self:
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if segment.start == end:
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return True
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@ -2574,7 +2579,8 @@ class Path(MutableSequence):
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"""Returns a path d-string for the path object.
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For an explanation of useSandT and use_closed_attrib, see the
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compatibility notes in the README."""
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if len(self) == 0:
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return ''
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if use_closed_attrib:
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self_closed = self.iscontinuous() and self.isclosed()
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if self_closed:
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@ -2866,8 +2872,7 @@ class Path(MutableSequence):
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# redundant intersection. This code block checks for and removes said
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# redundancies.
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if intersection_list:
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pts = [seg1.point(_t1)
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for _T1, _seg1, _t1 in list(zip(*intersection_list))[0]]
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pts = [_seg1.point(_t1) for _T1, _seg1, _t1 in list(zip(*intersection_list))[0]]
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indices2remove = []
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for ind1 in range(len(pts)):
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for ind2 in range(ind1 + 1, len(pts)):
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@ -687,7 +687,6 @@ class ArcTest(unittest.TestCase):
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self.assertAlmostEqual(d,0.0, delta=2)
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class TestPath(unittest.TestCase):
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def test_circle(self):
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@ -1660,7 +1659,6 @@ class Test_intersect(unittest.TestCase):
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assert_intersections(a0, a1, intersections, 0)
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class TestPathTools(unittest.TestCase):
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# moved from test_pathtools.py
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@ -1950,5 +1948,50 @@ class TestPathTools(unittest.TestCase):
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self.assertTrue(enclosing_shape.is_contained_by(larger_shape))
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class TestPathBugs(unittest.TestCase):
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def test_issue_113(self):
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"""
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Tests against issue regebro/svg.path#61 mathandy/svgpathtools#113
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"""
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p = Path('M 206.5,525 Q 162.5,583 162.5,583')
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self.assertAlmostEqual(p.length(), 72.80109889280519)
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p = Path('M 425.781 446.289 Q 410.40000000000003 373.047 410.4 373.047')
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self.assertAlmostEqual(p.length(), 74.83959997888816)
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p = Path('M 639.648 568.115 Q 606.6890000000001 507.568 606.689 507.568')
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self.assertAlmostEqual(p.length(), 68.93645544992873)
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p = Path('M 288.818 616.699 Q 301.025 547.3629999999999 301.025 547.363')
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self.assertAlmostEqual(p.length(), 70.40235610403947)
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p = Path('M 339.927 706.25 Q 243.92700000000002 806.25 243.927 806.25')
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self.assertAlmostEqual(p.length(), 138.6217876093077)
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p = Path('M 539.795 702.637 Q 548.0959999999999 803.4669999999999 548.096 803.467')
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self.assertAlmostEqual(p.length(), 101.17111989594662)
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p = Path('M 537.815 555.042 Q 570.1680000000001 499.1600000000001 570.168 499.16')
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self.assertAlmostEqual(p.length(), 64.57177814649368)
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p = Path('M 615.297 470.503 Q 538.797 694.5029999999999 538.797 694.503')
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self.assertAlmostEqual(p.length(), 236.70287281737836)
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def test_issue_71(self):
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p = Path("M327 468z")
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m = p.closed
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q = p.d() # Failing to Crash is good.
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def test_issue_95(self):
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"""
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Corrects:
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https://github.com/mathandy/svgpathtools/issues/95
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"""
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p = Path('M261 166 L261 166')
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self.assertEqual(p.length(), 0)
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def test_issue_94(self):
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# clipping rectangle
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p1 = Path('M0.0 0.0 L27.84765625 0.0 L27.84765625 242.6669922 L0.0 242.6669922 z')
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# clipping rectangle
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p2 = Path('M166.8359375,235.5478516c0,3.7773438-3.0859375,6.8691406-6.8701172,6.8691406H7.1108398c-3.7749023,0-6.8608398-3.0917969-6.8608398-6.8691406V7.1201172C0.25,3.3427734,3.3359375,0.25,7.1108398,0.25h152.8549805c3.7841797,0,6.8701172,3.0927734,6.8701172,6.8701172v228.4277344z')
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self.assertEqual(len(p1.intersect(p2)), len(p2.intersect(p1)))
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if __name__ == '__main__':
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unittest.main()
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