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# Copyright 2015 Google Inc. All Rights Reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
import numpy as np
from numpy.linalg import lstsq
import math
def alignCorners(glyph, va, subsegments):
out = va.copy()
# for i,c in enumerate(subsegments):
# segmentCount = len(glyph.contours[i].segments) - 1
# n = len(c)
# for j,s in enumerate(c):
# if j < segmentCount:
# seg = glyph.contours[i].segments[j]
# if seg.type == "line":
# subIndex = subsegmentIndex(i,j,subsegments)
# out[subIndex] = alignPoints(va[subIndex])
for i,c in enumerate(subsegments):
segmentCount = len(glyph.contours[i].segments)
n = len(c)
for j,s in enumerate(c):
if j < segmentCount - 1:
segType = glyph.contours[i].segments[j].type
segnextType = glyph.contours[i].segments[j+1].type
next = j+1
elif j == segmentCount -1 and s[1] > 3:
segType = glyph.contours[i].segments[j].type
segNextType = "line"
next = j+1
elif j == segmentCount:
segType = "line"
segnextType = glyph.contours[i].segments[1].type
if glyph.name == "J":
print s[1]
print segnextType
next = 1
else:
break
if segType == "line" and segnextType == "line":
subIndex = subsegmentIndex(i,j,subsegments)
pts = va[subIndex]
ptsnext = va[subsegmentIndex(i,next,subsegments)]
# out[subIndex[-1]] = (out[subIndex[-1]] - 500) * 3 + 500 #findCorner(pts, ptsnext)
# print subIndex[-1], subIndex, subsegmentIndex(i,next,subsegments)
try:
out[subIndex[-1]] = findCorner(pts, ptsnext)
except:
pass
# print glyph.name, "Can't find corner: parallel lines"
return out
def subsegmentIndex(contourIndex, segmentIndex, subsegments):
# This whole thing is so dumb. Need a better data model for subsegments
contourOffset = 0
for i,c in enumerate(subsegments):
if i == contourIndex:
break
contourOffset += c[-1][0]
n = subsegments[contourIndex][-1][0]
# print contourIndex, contourOffset, n
startIndex = subsegments[contourIndex][segmentIndex-1][0]
segmentCount = subsegments[contourIndex][segmentIndex][1]
endIndex = (startIndex + segmentCount + 1) % (n)
indices = np.array([(startIndex + i) % (n) + contourOffset for i in range(segmentCount + 1)])
return indices
def alignPoints(pts, start=None, end=None):
if start == None or end == None:
start, end = fitLine(pts)
out = pts.copy()
for i,p in enumerate(pts):
out[i] = nearestPoint(start, end, p)
return out
def findCorner(pp, nn):
if len(pp) < 4 or len(nn) < 4:
assert 0, "line too short to fit"
pStart,pEnd = fitLine(pp)
nStart,nEnd = fitLine(nn)
prev = pEnd - pStart
next = nEnd - nStart
# print int(np.arctan2(prev[1],prev[0]) / math.pi * 180),
# print int(np.arctan2(next[1],next[0]) / math.pi * 180)
# if lines are parallel, return simple average of end and start points
if np.dot(prev / np.linalg.norm(prev),
next / np.linalg.norm(next)) > .999999:
# print "parallel lines", np.arctan2(prev[1],prev[0]), np.arctan2(next[1],next[0])
# print prev, next
assert 0, "parallel lines"
return lineIntersect(pStart, pEnd, nStart, nEnd)
def lineIntersect((x1,y1),(x2,y2),(x3,y3),(x4,y4)):
x12 = x1 - x2
x34 = x3 - x4
y12 = y1 - y2
y34 = y3 - y4
det = x12 * y34 - y12 * x34
if det == 0:
print "parallel!"
a = x1 * y2 - y1 * x2
b = x3 * y4 - y3 * x4
x = (a * x34 - b * x12) / det
y = (a * y34 - b * y12) / det
return (x,y)
def fitLineLSQ(pts):
"returns a line fit with least squares. Fails for vertical lines"
n = len(pts)
a = np.ones((n,2))
for i in range(n):
a[i,0] = pts[i,0]
line = lstsq(a,pts[:,1])[0]
return line
def fitLine(pts):
"""returns a start vector and direction vector
Assumes points segments that already form a somewhat smooth line
"""
n = len(pts)
if n < 1:
return (0,0),(0,0)
a = np.zeros((n-1,2))
for i in range(n-1):
v = pts[i] - pts[i+1]
a[i] = v / np.linalg.norm(v)
direction = np.mean(a[1:-1], axis=0)
start = np.mean(pts[1:-1], axis=0)
return start, start+direction
def nearestPoint(a,b,c):
"nearest point to point c on line a_b"
magnitude = np.linalg.norm(b-a)
if magnitude == 0:
raise Exception, "Line segment cannot be 0 length"
return (b-a) * np.dot((c-a) / magnitude, (b-a) / magnitude) + a
# pts = np.array([[1,1],[2,2],[3,3],[4,4]])
# pts2 = np.array([[1,0],[2,0],[3,0],[4,0]])
# print alignPoints(pts2, start = pts[0], end = pts[0]+pts[0])
# # print findCorner(pts,pts2)
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