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################################################################
# lg2txt.py
#
# Translate a label graph to a text file of different formats.
#
# NOTE: this program assumes that horizontal adjacency
# is indicated using 'HOR' or 'R' edge labels, superscripts
# and subscripts by 'SUP' and 'SUB.'
#
# Author: R. Zanibbi, June 2012
# Copyright (c) 2012-2014 Richard Zanibbi and Harold Mouchere
################################################################
def readtranslateFile(mapFile):
"""Read in symbol and structure mappings from a file."""
try:
fileReader = csv.reader(open(mapFile))
except:
sys.stderr.write(' !! IO Error (cannot open): ' + mapFile + '\n')
return
symbolsMap = {}
relationsMap = {}
readingSymbols = True
for row in fileReader:
# Skip blank lines and comments.
if len(row) == 0:
continue
elif row[0].strip()[0] == '#':
continue
elif row[0].strip() == 'SYMBOLS':
readingSymbols = True
elif row[0].strip() == 'RELATIONSHIPS':
readingSymbols = False
else:
if readingSymbols:
symbolsMap[row[0]] = row[1]
else:
relationsMap[row[0]] = row[1]
return symbolsMap, relationsMap
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"""Read in symbol and structure mappings from a file."""
try:
fileReader = csv.reader(open(fileName))
except:
sys.stderr.write(' !! IO Error (cannot open): ' + fileName + '\n')
return
symbolMap = {}
structureMap = {}
readingSymbols = True
for row in fileReader:
# Skip blank lines and comments.
if len(row) == 0:
continue
elif row[0].strip()[0] == '#':
continue
elif row[0].strip() == 'SYMBOLS':
readingSymbols = True
elif row[0].strip() == 'STRUCTURE':
readingSymbols = False
else:
pattern = []
replacement = []
i = 0
while not row[i].strip() == '->':
pattern += [ row[i] ]
i += 1
i += 1
while i < len(row):
replacement += [ row[i] ]
i += 1
if len(pattern) > 1:
relations = sorted( pattern[1:len(pattern)] )
ptuple = tuple( [ pattern[0] ] + relations )
else:
ptuple = ( pattern[0] )
if len(replacement) > 1:
rtuple = tuple(replacement)
else:
rtuple = ( replacement[0] )
if readingSymbols:
symbolMap[ptuple] = rtuple
else:
structureMap[ptuple] = rtuple
return (symbolMap, structureMap)
def translateStructure( lg, label, nodeRelationPairs, structureMap,\
segPrimMap, edgeMap, symbolMap, segId, nodeString):
"""Generate a string for a given structure."""
strString = ""
byValue = lambda pair: pair[1]
sortedNodeRelationPairs = sorted(nodeRelationPairs, key=byValue)
queryList = [ label ]
primListString = ""
for primitiveId in sorted(list(segPrimMap[ segId ][0])):
primListString += primitiveId + ':'
for (childId, relation) in sortedNodeRelationPairs:
queryList += [ relation ]
#print(primListString)
#print(queryList)
# Obtain the replacement, provided as an ordered sequence of
# regions, giving the order in which to map subregions.
key = tuple(queryList)
anyKey = tuple(['ANY'] + queryList[1:])
#print("key: " + str(key))
#print(list(structureMap))
if key in list(structureMap):
replacementTuple = structureMap[ key ]
#print("replacement: " + str(replacementTuple))
# Find the node that matches each relation in the passed list,
# and generate the appropriate string.
for i in range(0,len(replacementTuple)):
nextRelation = replacementTuple[ i ]
match = False
for j in range(0,len(nodeRelationPairs)):
(childId, relation) = nodeRelationPairs[j]
if relation == nextRelation:
strString += translate(lg, childId, segPrimMap,\
edgeMap, symbolMap, structureMap)
match = True
break
# RZ, Jan 2013: allow other tags to be inserted (e.g. at end);
# add primitive ids as identifier for symbols with multiple
# subregions (e.g. fractions, roots)
if not match:
strString += replacementTuple[i].replace('_I_','\"' + \
primListString + '\"')
# HACK!!! Copying and modifying above conditional branch.
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elif anyKey in list(structureMap):
replacementTuple = structureMap[ anyKey ]
#print("replacement: " + str(replacementTuple))
# Find the node that matches each relation in the passed list,
# and generate the appropriate string.
for i in range(0,len(replacementTuple)):
nextRelation = replacementTuple[ i ]
match = False
for j in range(0,len(nodeRelationPairs)):
(childId, relation) = nodeRelationPairs[j]
if relation == nextRelation:
strString += translate(lg, childId, segPrimMap,\
edgeMap, symbolMap, structureMap)
match = True
break
elif nextRelation == 'PARENT':
strString += nodeString
match = True
break
# RZ, Jan 2013: allow other tags to be inserted (e.g. at end);
# add primitive ids as identifier for symbols with multiple
# subregions (e.g. fractions, roots)
if not match:
strString += replacementTuple[i].replace('_I_','\"' + \
primListString + '\"')
return strString
def translateRelation(lg, relation, nextChildId, structureMap,
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segPrimMap, edgeMap, symbolMap, nodeString):
"""Translate an individual spatial relation."""
relString = ""
replacementTuple = ()
if relation in list(structureMap):
replacementTuple = structureMap[ relation ]
else:
sys.stderr.write(" !! Error: Unknown relationship label " + relation + "\n")
sys.stderr.write(" !! Using relationship mapping: " + str(structureMap[ 'REL_DEFAULT' ]) + "\n")
# Use default mapping if label is unknown.
replacementList = list( structureMap[ 'REL_DEFAULT' ] )
for i in range(0,len(replacementList)):
replacementList[i] = replacementList[i].replace('_L_', \
relation)
replacementTuple = tuple( replacementList )
for i in range(0,len(replacementTuple)):
nextEntry = replacementTuple[ i ]
if nextEntry == "PARENT":
# Add current symbol at this location
relString += nodeString
elif nextEntry == "CHILD":
relString += translate(lg, nextChildId, segPrimMap, edgeMap, symbolMap, structureMap)
else:
relString += replacementTuple[i]
return relString
def translate(lg, segId, segPrimMap, edgeMap, symbolMap, structureMap):
"""Recursively create output for an expression at the object level."""
byValue = lambda pair: pair[1]
byRel = lambda pair: pair[0]
oneSegPrimitive = list(segPrimMap[ segId ][0])[0]
labelValuePairs = sorted(lg.nlabels[ oneSegPrimitive ].items(), key=byValue)
(label, value) = labelValuePairs[0]
nodeString = label
# Create label identifying primitives in the object.
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primListString = ""
for primitiveId in sorted(list(segPrimMap[ segId ][0])):
primListString += primitiveId + ':'
if label in symbolMap:
nodeString = symbolMap[ label ].replace('_I_','\"' + \
primListString + '\"')
else:
# Treat all unknowns uniformly.
nodeString = symbolMap[ 'OBJ_DEFAULT' ].replace('_I_','\"' + \
primListString + '\"').replace('_L_',label)
sys.stderr.write(" !! Error: Unknown object label " + label + "\n")
if segId in edgeMap:
# This node has children - lookup replacement based on sorted labels
# for edges to child nodes.
childSegIds = edgeMap[ segId ]
nodeRelationPairs = []
horRelation = []
noSubSupPairs = []
subSupPairs = []
for nextChildId in childSegIds:
# Obtain the highest-valued label for the edge.
childPrimitive =list( segPrimMap[ nextChildId ][0])[0]
edgeLabels = lg.elabels[ (oneSegPrimitive, childPrimitive) ]
labelValuePairs = sorted(edgeLabels.items(), key=byValue)
(relation, value) = labelValuePairs[0]
# DEBUG: remove HOR/R relations, separate SUB/SUP relations.
# Add missing "Sub" "Sup" labels for CROHME 2013.
# DEBUG: Separate undefined labels into the 'noSubSupPairs' note
# that this binds these undefined relationships before any hor.
# adjacency relationship.
if not (relation == 'HOR' or relation == 'R' or relation == "Right"):
nodeRelationPairs += [ (nextChildId, relation) ]
if not (relation == 'SUB' or relation == 'SUP' or \
relation == 'Sub' or relation == 'Sup' or
not relation in list(structureMap) and not relation == 'I' and not relation == 'Inside' ):
noSubSupPairs += [ (nextChildId, relation) ]
else:
subSupPairs += [ (nextChildId, relation) ]
else:
horRelation += [ (nextChildId, relation) ]
# CASE 1: all relations other than HOR/R are in a structure.
strString = translateStructure(lg, label, nodeRelationPairs, structureMap,\
segPrimMap, edgeMap, symbolMap, segId, nodeString)
if not strString == "":
nodeString = strString
else:
# CASE 2: only non-SUP/SUB relations are in a structure.
strString = translateStructure(lg, label, noSubSupPairs, structureMap,\
segPrimMap, edgeMap, symbolMap, segId, nodeString)
if not strString == "":
nodeString = strString
for (nextChildId, relation) in sorted(subSupPairs, key=byValue):
nodeString = translateRelation(lg, relation, nextChildId,
structureMap, segPrimMap, edgeMap, symbolMap, nodeString)
#nodeString += translateRelation(lg, (relation, nextChildId),\
# structureMap, segPrimMap, edgeMap, symbolMap)
else:
# DEFAULT: map relations independently.
for (nextChildId, relation) in sorted(nodeRelationPairs, key=byValue):
nodeString = translateRelation(lg, relation, nextChildId,
structureMap, segPrimMap, edgeMap, symbolMap, nodeString)
# Lastly, generate string for adjacent symbols on the baseline.
# **if there are multiple 'HOR' symbols all will be mapped.
for (child, relation) in horRelation:
nodeString = translateRelation(lg, relation, child,
structureMap, segPrimMap, edgeMap, symbolMap, nodeString)
return nodeString
def cleanRows( mmlFile ):
# with open( filePath ) as mmlFile:
rowSoup = BeautifulSoup(mmlFile, 'html.parser')
mrows = rowSoup.find_all('mrow')
for item in mrows:
if item.parent.name == "mrow":
# REMOVING to avoid unexpected cases.
#or len( item.contents ) < 2:
item.unwrap()
return rowSoup.prettify()
def lg2mml(lg_file, mapFile):
lg.hideUnlabeledEdges()
(segmentPrimitiveMap, primitiveSegmentMap, noparentSegments, segmentEdges) = \
lg.segmentGraph()
(rootNodes, treeEdges, otherEdges) = lg.separateTreeEdges()
# Default symbol and structure mappings.
symbolMap = { }
structureMap = { }
if mapFile:
(symbolMap, structureMap) = readMapFile(mapFile)
# Create a map from nodes to child nodes, in order to be able to
# detect structures such as fractions, etc.
treeEdgeMap = {}
for (parent, child) in treeEdges:
if parent in treeEdgeMap:
treeEdgeMap[ parent ] += [ child ]
# NOTE: currently this will print out more than one expression on
# separate lines if a graph has multiple root nodes.
# Exit if there is no root node, generate a list of TeX expressions if there are
# multiple root nodes.
if len(rootNodes) < 1:
sys.stderr.write(" !! Error: graph contains no root node; cannot generate output.\n")
sys.exit(1)
elif len(rootNodes) > 1:
sys.stderr.write(" !! Graph contains " + str(len(rootNodes)) + " root nodes.\n")
for root in rootNodes:
# print(translate(lg, root, segmentPrimitiveMap, treeEdgeMap,\
# symbolMap, structureMap))
mml_out_raw.append(translate(lg, root, segmentPrimitiveMap,
# mml_out = postprocess("\n".join(mml_out_raw))
mml_out = cleanRows("\n".join(mml_out_raw))
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def preprocess(filename, translateFile, translate=True):
lg = Lg(filename)
print(lg)
lg_NE_string = lg.csv()
if translate:
symbolsMap, relationsMap = readtranslateFile(translateFile)
edge_pattern = re.compile(r'^E,')
node_pattern = re.compile(r'(^N,)|#')
symbol_temp = relabel(lg_NE_string, symbolsMap, node_pattern)
edge_temp = relabel(lg_NE_string, dict(**symbolsMap, **relationsMap),
edge_pattern)
lg_NE_string = symbol_temp + "\n" + edge_temp
temp_file = "temp.lg"
with open(temp_file, 'w') as f:
f.writelines(lg_NE_string)
return temp_file
def relabel(lg_NE_string, Map, pattern):
temp = '\n'.join([line for line in lg_NE_string.split('\n')
if re.match(pattern, line)])
for source_label, mapped_label in Map.items():
temp = temp.replace("," + source_label + ",", "," + mapped_label + ",")
return temp
def main(lg_file, mapFile, translateFile):
temp_lg_file = preprocess(lg_file, translateFile)
mml_out = lg2mml(temp_lg_file, mapFile)
os.remove(temp_lg_file)
return mml_out
if __name__ == '__main__':
if len(sys.argv) < 2:
print("Usage: [[python]] lg2txt.py <infile.lg> [mapfile.csv] [translatefile.csv]")
print("")
print(" Produces a text file for label graph file")
print(" <infile.lg>. A symbol and structure map file (mapfile.csv)")
print(" may be provided to override default (latex) mappings.")
sys.exit()
lg_file = sys.argv[1]
if len(sys.argv) > 3:
mapFile = sys.argv[2]
translateFile = sys.argv[3]
elif len(sys.argv) > 2:
mml_out = main(lg_file, mapFile, translateFile)