From baba1d18b2c804e48a35dadb8147178498f71aec Mon Sep 17 00:00:00 2001 From: Vrroom Date: Wed, 23 Jun 2021 08:58:24 +0530 Subject: [PATCH] arc transform fixed (#98) * arc transform fixed * Update svgpathtools/path.py Co-authored-by: Matthijs Kooijman * Fixed rotation bug in transformation of arcs * Made compatible with python2.7 Changed the shorthand @ for np matrix multiplication to matmul Co-authored-by: vrroom Co-authored-by: Matthijs Kooijman --- dist/svgpathtools-1.4.1-py3.7.egg | Bin 128941 -> 133294 bytes svgpathtools/path.py | 35 +++++++++++++++++++++++------- 2 files changed, 27 insertions(+), 8 deletions(-) diff --git a/dist/svgpathtools-1.4.1-py3.7.egg b/dist/svgpathtools-1.4.1-py3.7.egg index e4e8b363c860e99b1baf93c3a183ca725cc38d1b..7759b145b7eae6208324ae83fc9b56e3c95eb110 100644 GIT binary patch delta 102431 zcmXWCV|1WR)3qIQf=MQ}F|lpinu%>2XKZ6)+qP}nw(aD-zUTgWtzLDk{iFM5Rafn< zyoRodgF#e~28Z|s0s;a9k`Y*;REyX~0P+7p{RBY*=>JiIAraUAAeTtse{e{||39E4 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z{=?jBx= 0.0: - new_sweep = curve.sweep - else: - new_sweep = not curve.sweep - return Arc(new_start, radius=new_radius, rotation=curve.rotation, - large_arc=curve.large_arc, sweep=new_sweep, end=new_end) + + # Based on https://math.stackexchange.com/questions/2349726/compute-the-major-and-minor-axis-of-an-ellipse-after-linearly-transforming-it + rx2 = curve.radius.real ** 2 + ry2 = curve.radius.imag ** 2 + + Q = np.array([[1/rx2, 0], [0, 1/ry2]]) + invT = np.linalg.inv(tf[:2,:2]) + D = reduce(np.matmul, [invT.T, Q, invT]) + + eigvals, eigvecs = np.linalg.eig(D) + + rx = 1 / np.sqrt(eigvals[0]) + ry = 1 / np.sqrt(eigvals[1]) + + new_radius = complex(rx, ry) + + xeigvec = eigvecs[:, 0] + rot = np.degrees(np.arccos(xeigvec[0])) + + if new_radius.real == 0 or new_radius.imag == 0 : + return Line(new_start, new_end) + else : + return Arc(new_start, radius=new_radius, rotation=curve.rotation + rot, + large_arc=curve.large_arc, sweep=curve.sweep, end=new_end, + autoscale_radius=False) + else: raise TypeError("Input `curve` should be a Path, Line, " "QuadraticBezier, CubicBezier, or Arc object.")