From 76dc8c2cad06d62f952ccd07c694b9160747f969 Mon Sep 17 00:00:00 2001
From: Jannis <jannis.schuecker@iais.fraunhofer.de>
Date: Fri, 8 Jun 2018 15:16:30 +0200
Subject: [PATCH] work on 2D network of Figure 2
---
.../SchueckerSchmidt2017/Fig2_EE_example.eps | 8943 +++++++++--------
.../SchueckerSchmidt2017/Fig2_EE_example.py | 84 +-
.../SchueckerSchmidt2017/Fig2_EE_network.py | 55 +-
multiarea_model/theory.py | 1 -
4 files changed, 4657 insertions(+), 4426 deletions(-)
diff --git a/figures/SchueckerSchmidt2017/Fig2_EE_example.eps b/figures/SchueckerSchmidt2017/Fig2_EE_example.eps
index f86d93b..c1d31e1 100644
--- a/figures/SchueckerSchmidt2017/Fig2_EE_example.eps
+++ b/figures/SchueckerSchmidt2017/Fig2_EE_example.eps
@@ -2,7 +2,7 @@
%%BoundingBox: -1 -1 333 410
%%HiResBoundingBox: -1 -1 333 410
%%Creator: PyX 0.14.1
-%%CreationDate: Fri Jun 1 14:38:51 2018
+%%CreationDate: Fri Jun 8 15:15:11 2018
%%EndComments
%%BeginProlog
%%BeginResource: BeginEPSF
@@ -40,9 +40,9 @@ BeginEPSF
%!PS-Adobe-3.0 EPSF-3.0
%%BoundingBox: 0 0 332 409
%%HiResBoundingBox: 0.000000 0.000000 331.920000 408.240000
-%%Creator: GPL Ghostscript 922 (ps2write)
+%%Creator: GPL Ghostscript 918 (ps2write)
%%LanguageLevel: 2
-%%CreationDate: D:20180601143850+09'00'
+%%CreationDate: D:20180608151510+02'00'
%%EndComments
%%BeginProlog
save
@@ -224,9 +224,7 @@ pop pop
/ObjectRegistryMaxLength 50000 def
/ObjectRegistry 10 dict def
ObjectRegistry
-begin
-0 ObjectRegistryMaxLength dict def
-end
+begin 0 ObjectRegistryMaxLength dict def end
/CurrentObject null def
/DoneDocumentStructure false def
/GraphicState 20 dict begin
@@ -266,42 +264,31 @@ currentdict end readonly def
currentdict end readonly def
/1_24_bitshift_1_sub 1 24 bitshift 1 sub def
/ReadFontProcs 10 dict def
-/GetObject
-{
+/GetObject{
dup ObjectRegistryMaxLength idiv
-//PDFReader/ObjectRegistry get exch knownget{
-exch knownget
-}{
-pop false
-}ifelse
+//PDFReader /ObjectRegistry get exch knownget
+{exch knownget}{pop false}ifelse
}bind def
/PutObject
-{
-1 index ObjectRegistryMaxLength idiv
-//PDFReader/ObjectRegistry get 1 index knownget{
-exch pop
-3 1 roll put
-}{
-//PDFReader/ObjectRegistry get dup
-begin
+{1 index ObjectRegistryMaxLength idiv
+//PDFReader /ObjectRegistry get 1 index knownget{
+exch pop 3 1 roll put}{
+//PDFReader /ObjectRegistry get dup begin
1 index ObjectRegistryMaxLength dict def
-end
-exch get
-3 1 roll put
+end exch get 3 1 roll put
}ifelse
}bind def
/Register
-{
-1 index GetObject{
+{1 index GetObject{
dup xcheck{
4 3 roll pop
//PDFR_DEBUG{
-(Have a daemon for )print 2 index ==
+(Have a daemon for ) print 2 index ==
}if
exec
}{
dup null ne{
-mark(The object )4 index(is already defined : )4 index//error exec
+mark (The object ) 4 index (is already defined : ) 4 index //error exec
}{
pop
}ifelse
@@ -313,25 +300,23 @@ exec
exec
}ifelse
PutObject
-}bind def
-/IsRegistered
-{
+} bind def
+/IsRegistered{
GetObject{
null ne
}{
false
}ifelse
}bind def
-/GetRegistered
-{
+/GetRegistered{
dup GetObject not{
-exch mark exch(Object )exch( isn't defined before needed (1).)//error exec
+exch mark exch (Object ) exch ( isn't defined before needed (1).) //error exec
}if
dup xcheck{
-exch mark exch(Object )exch( isn't defined before needed (2).)//error exec
+exch mark exch (Object ) exch ( isn't defined before needed (2).) //error exec
}{
dup null eq{
-exch mark exch(Object )exch( isn't defined before needed (3).)//error exec
+exch mark exch (Object ) exch ( isn't defined before needed (3).) //error exec
}if
exch pop
}ifelse
@@ -460,10 +445,7 @@ exch mark exch(An object generation )exch( isn't 0.)//error exec
//PDFR_DEBUG{
(endobj )=
}if
-count 1 eq{
-pop
-}{
-dup type/dicttype eq{
+count 1 eq {pop} {dup type/dicttype eq{
dup/.endobj_daemon//knownget exec{
//PDFR_DEBUG{(.endobj_daemon for )print 2 index =}if
exec
@@ -478,8 +460,7 @@ pop pop
//RunTypeDaemon exec
//DoNothing 3 1 roll//Register exec
}ifelse
-}ifelse
-}bind def
+}ifelse}bind def
/StoreBlock
{
//PDFR_DEBUG{
@@ -634,7 +615,7 @@ dup/Length//CheckLength//ResolveD exec
//PDFReader/InitialGraphicState get
//PDFReader/GraphicState get copy pop
//PDFReader/Operators get begin
-currentfile exch()/SubFileDecode filter
+currentfile exch ()/SubFileDecode filter
1 index//AppendFilters exec
cvx mark exch
exec
@@ -653,7 +634,7 @@ dup/Context get/NumCopies//knownget exec{
copypage
}repeat
}if
-EPS2Write not{showpage}if
+EPS2Write not {showpage} if
}if
}bind def
/stream
@@ -780,38 +761,30 @@ exch 3 index sub exch 3 index sub
}if
pop pop 3 index 3 index 2 copy
currentglobal false setglobal 3 1 roll
-currentpagedevice dup/PageSize known{
-/PageSize get aload pop
-}{
-0 0
-}ifelse
+currentpagedevice dup /PageSize known{
+/PageSize get aload pop}{
+0 0}ifelse
round cvi 2 index round cvi eq
-exch round cvi 3 index round cvi eq and
-{
-//PDFR_DEBUG{(PageSize matches request)== flush}if
-pop pop
-}{
-/MediaRequested where{
-//PDFR_DEBUG{(MediaRequested is true, check against new request)== flush}if
+exch round cvi 3 index round cvi eq and{
+//PDFR_DEBUG{(PageSize matches request) == flush}if
+pop pop}{
+/MediaRequested where {
+//PDFR_DEBUG{(MediaRequested is true, check against new request) == flush}if
/MediaRequested get aload pop
round cvi 2 index round cvi eq
exch round cvi 3 index round cvi eq and
-{
-//PDFR_DEBUG{(MediaRequested same as current request, ignore)== flush}if
-pop pop false
-}{
-//PDFR_DEBUG{(MediaRequested different to current request)== flush}if
-true
-}ifelse
+{//PDFR_DEBUG{(MediaRequested same as current request, ignore) == flush}if pop pop false}
+{//PDFR_DEBUG{(MediaRequested different to current request) == flush}if true}ifelse
}{
-//PDFR_DEBUG{(No MediaRequested yet)== flush}if
+//PDFR_DEBUG{(No MediaRequested yet) == flush}if
true
}ifelse
{
-//PDFR_DEBUG{(Setting pagesize)== flush}if
+//PDFR_DEBUG{(Setting pagesize) == flush}if
2 array astore
-dup/MediaRequested exch def
-<< exch/PageSize exch >>setpagedevice
+dup /MediaRequested exch def
+<< exch /PageSize exch >> setpagedevice
+/pagesave save def
}if
}ifelse
userdict/PDFR_InitialGS gstate put
@@ -879,7 +852,7 @@ pop pop
1 index exch/Context exch put
dup/ImmediateExec true put
dup/IsPage true put
-SetPageSize{dup/Context get//SetupPageView exec}if
+SetPageSize {dup/Context get//SetupPageView exec}if
}bind def
/FontFileDaemon
{
@@ -1219,12 +1192,7 @@ LocaArray LocaIndex 3 -1 roll put
def
}{
StringOffset getu16 2 mul
-LocaArray length LocaIndex gt{
-LocaArray LocaIndex 3 -1 roll put
-}{
-pop
-}ifelse
-/LocaIndex LocaIndex 1 add def
+LocaArray length LocaIndex gt {LocaArray LocaIndex 3 -1 roll put}{pop}ifelse/LocaIndex LocaIndex 1 add def
/StringOffset StringOffset 2 add
def
}ifelse
@@ -1652,24 +1620,11 @@ FontMatrix aload pop pop pop exch pop exch pop
neg exch neg exch rlineto
closepath stroke
}bind def
-/SaveResourcesToStack
-{
-[
-//PDFReader/OldResources known{
-//PDFReader/OldResources get
-}{
-null
-}ifelse
-//PDFReader/CurrentObject get/Context get/Resources get
-]
-//PDFReader/OldResources 3 -1 roll put
-}bind def
-/RestoreResourcesFromStack
-{
-//PDFReader/OldResources get dup
+/SaveResourcesToStack{[//PDFReader/OldResources known{//PDFReader/OldResources get}{null}ifelse
+//PDFReader/CurrentObject get/Context get/Resources get]//PDFReader/OldResources 3 -1 roll put}bind def
+/RestoreResourcesFromStack{//PDFReader/OldResources get dup
0 get//PDFReader/OldResources 3 -1 roll put
-1 get//PDFReader/CurrentObject get/Context get/Resources 3 -1 roll put
-}bind def
+1 get//PDFReader/CurrentObject get/Context get/Resources 3 -1 roll put} bind def
/BuildChar
{//PDFR_DEBUG{
(BuildChar )print dup//=only exec( )print
@@ -1681,22 +1636,8 @@ dup =
}if
dup null eq{
pop//NotDef exec
-}
-{
-CharProcs exch//knownget exec
-{
-currentfont/Font get/Resources//knownget exec{
-exec
-SaveResourcesToStack
-//PDFReader/CurrentObject get/Context get
-/Resources 3 -1 roll put
-//RunDelayedStream exec
-RestoreResourcesFromStack
}{
-//RunDelayedStream exec
-}ifelse
-}
-{
+CharProcs exch//knownget exec{currentfont/Font get/Resources//knownget exec{exec SaveResourcesToStack//PDFReader/CurrentObject get/Context get/Resources 3 -1 roll put//RunDelayedStream exec RestoreResourcesFromStack}{//RunDelayedStream exec}ifelse}{
//NotDef exec
}ifelse
}ifelse
@@ -1957,14 +1898,14 @@ glyphs code 3 -1 roll put/code code 1 add def
/i2 exch def
/scode startc i2 getu16 def
/ecode endc i2 getu16 def
-ecode lastcode gt{
+ecode lastcode gt {
/lastcode ecode def
}if
}for pop
-firstcode 16#f000 ge lastcode firstcode sub 255 le and{
+firstcode 16#f000 ge lastcode firstcode sub 255 le and {
lastcode 255 and
/striptopbyte true def
-}{
+} {
lastcode
}ifelse
1 add
@@ -1993,19 +1934,19 @@ TTFDEBUG{
}if
idroff i2 getu16 dup 0 eq{
pop scode delta add 65535 and 1 ecode delta add 65535 and
-striptopbyte{
+striptopbyte {
/code scode 255 and def
-}{
+} {
/code scode def
-}ifelse
+} ifelse
{putglyph}for
}{
/gloff exch 14 nseg2 3 mul add 2 add i2 add add def
-striptopbyte{
+striptopbyte {
/code scode 255 and def
-}{
+} {
/code scode def
-}ifelse
+} ifelse
0 1 ecode scode sub{
2 mul gloff add etab exch getu16
dup 0 ne{delta add 65535 and}if putglyph
@@ -2171,37 +2112,6 @@ TTFDEBUG{(post: unknown format )print post 0 getu32 = flush}if[]
}ifelse
}ifelse def
}bind def
-/MacRomanEncoding[
-StandardEncoding 0 39 getinterval aload pop
-/quotesingle
-StandardEncoding 40 56 getinterval aload pop
-/grave
-StandardEncoding 97 31 getinterval aload pop
-/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis/Udieresis/aacute
-/agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute/egrave
-/ecircumflex/edieresis/iacute/igrave
-/icircumflex/idieresis/ntilde/oacute
-/ograve/ocircumflex/odieresis/otilde
-/uacute/ugrave/ucircumflex/udieresis
-/dagger/degree/cent/sterling/section/bullet/paragraph/germandbls
-/registered/copyright/trademark/acute/dieresis/.notdef/AE/Oslash
-/.notdef/plusminus/.notdef/.notdef/yen/mu/.notdef/.notdef
-/.notdef/.notdef/.notdef/ordfeminine/ordmasculine/.notdef/ae/oslash
-/questiondown/exclamdown/logicalnot/.notdef
-/florin/.notdef/.notdef/guillemotleft
-/guillemotright/ellipsis/space/Agrave/Atilde/Otilde/OE/oe
-/endash/emdash/quotedblleft/quotedblright
-/quoteleft/quoteright/divide/.notdef
-/ydieresis/Ydieresis/fraction/currency
-/guilsinglleft/guilsinglright/fi/fl
-/daggerdbl/periodcentered/quotesinglbase/quotedblbase
-/perthousand/Acircumflex/Ecircumflex/Aacute
-/Edieresis/Egrave/Iacute/Icircumflex
-/Idieresis/Igrave/Oacute/Ocircumflex
-/.notdef/Ograve/Uacute/Ucircumflex
-/Ugrave/dotlessi/circumflex/tilde
-/macron/breve/dotaccent/ring/cedilla/hungarumlaut/ogonek/caron
-]/Encoding defineresource pop
/TTParser<<
/Pos 0
/post null
@@ -3269,14 +3179,11 @@ dup 3 get//FunctionToProc exec
pop
}if
dup 0 get/Pattern eq{
-dup length 1 gt{
-dup 1 get dup type/arraytype eq{
+dup length 1 gt{dup
+1 get dup type/arraytype eq{
ResolveColorSpaceArray
1 index 1 3 -1 roll put
-}{
-pop
-}ifelse
-}if
+}{pop}ifelse}if
}if
PDFR_DEBUG{
(Construcrted color space :)=
@@ -8342,18 +8249,19 @@ ifelse
.defineencoding
exec
-%%BeginResource: procset (PDF Font obj_25)
-25 0 obj
-<</R21
+%%BeginResource: font (PDF Font obj_27)
+27 0 obj
+<</R9
+9 0 R/R7
+7 0 R/R25
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21 0 R/R19
19 0 R/R17
17 0 R/R15
15 0 R/R13
13 0 R/R11
-11 0 R/R9
-9 0 R/R7
-7 0 R/R23
-23 0 R>>
+11 0 R>>
endobj
%%EndResource
%%BeginResource: file (PDF CharProc obj_6)
@@ -8364,44 +8272,112 @@ J.)Pl,9Xc90Gb-%0K<Se'b(]kc(M!@~>
endstream
endobj
%%EndResource
-%%BeginResource: procset (PDF Font obj_21)
+%%BeginResource: font (PDF Font obj_9)
+9 0 obj
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+/Subtype/Type1>>
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+%%EndResource
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+/Encoding 38 0 R/Subtype/Type1>>
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+/Encoding 39 0 R/Subtype/Type1>>
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+/Encoding 40 0 R/Subtype/Type1>>
+endobj
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+%%BeginResource: encoding (PDF Encoding obj_40)
+40 0 obj
+<</Type/Encoding/Differences[
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+endobj
+%%EndResource
+%%BeginResource: font (PDF Font obj_21)
21 0 obj
-<</BaseFont/OOKEGP+CMSSBX10/FontDescriptor 22 0 R/Type/Font
-/FirstChar 65/LastChar 71/Widths[ 733 733 703 794 641 611 733]
+<</BaseFont/GZUCRP+CMR5/FontDescriptor 22 0 R/Type/Font
+/FirstChar 48/LastChar 53/Widths[
+680 680 680 680 0 680]
/Subtype/Type1>>
endobj
%%EndResource
-%%BeginResource: procset (PDF Font obj_19)
+%%BeginResource: font (PDF Font obj_19)
19 0 obj
-<</BaseFont/KFGIYE+CMSY6/FontDescriptor 20 0 R/Type/Font
+<</BaseFont/OOKEGP+CMSSBX10/FontDescriptor 20 0 R/Type/Font
+/FirstChar 65/LastChar 71/Widths[ 733 733 703 794 641 611 733]
+/Subtype/Type1>>
+endobj
+%%EndResource
+%%BeginResource: font (PDF Font obj_17)
+17 0 obj
+<</BaseFont/KFGIYE+CMSY6/FontDescriptor 18 0 R/Type/Font
/FirstChar 0/LastChar 0/Widths[
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-/Encoding 35 0 R/Subtype/Type1>>
+/Encoding 41 0 R/Subtype/Type1>>
endobj
%%EndResource
-%%BeginResource: encoding (PDF Encoding obj_35)
-35 0 obj
+%%BeginResource: encoding (PDF Encoding obj_41)
+41 0 obj
<</Type/Encoding/Differences[
0/minus]>>
endobj
%%EndResource
-%%BeginResource: procset (PDF Font obj_17)
-17 0 obj
-<</BaseFont/YNRCJC+CMSY8/FontDescriptor 18 0 R/Type/Font
+%%BeginResource: font (PDF Font obj_15)
+15 0 obj
+<</BaseFont/YNRCJC+CMSY8/FontDescriptor 16 0 R/Type/Font
/FirstChar 0/LastChar 0/Widths[
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-/Encoding 36 0 R/Subtype/Type1>>
+/Encoding 42 0 R/Subtype/Type1>>
endobj
%%EndResource
-%%BeginResource: encoding (PDF Encoding obj_36)
-36 0 obj
+%%BeginResource: encoding (PDF Encoding obj_42)
+42 0 obj
<</Type/Encoding/Differences[
0/minus]>>
endobj
%%EndResource
-%%BeginResource: procset (PDF Font obj_15)
-15 0 obj
-<</BaseFont/NMYTKQ+CMR6/FontDescriptor 16 0 R/Type/Font
+%%BeginResource: font (PDF Font obj_13)
+13 0 obj
+<</BaseFont/NMYTKQ+CMR6/FontDescriptor 14 0 R/Type/Font
/FirstChar 50/LastChar 120/Widths[ 611 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
@@ -8410,128 +8386,432 @@ endobj
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endobj
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-%%BeginResource: procset (PDF Font obj_13)
-13 0 obj
-<</BaseFont/HLJRMN+CMMI8/FontDescriptor 14 0 R/Type/Font
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+11 0 obj
+<</BaseFont/HLJRMN+CMMI8/FontDescriptor 12 0 R/Type/Font
/FirstChar 23/LastChar 61/Widths[ 522 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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-/Encoding 37 0 R/Subtype/Type1>>
+/Encoding 43 0 R/Subtype/Type1>>
endobj
%%EndResource
-%%BeginResource: encoding (PDF Encoding obj_37)
-37 0 obj
+%%BeginResource: encoding (PDF Encoding obj_43)
+43 0 obj
<</Type/Encoding/Differences[
23/nu
58/period
61/slash]>>
endobj
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-/FirstChar 48/LastChar 121/Widths[
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-%%EndResource
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+/R7 7.97011 Tf
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+/R11 7.97011 Tf
+30.792 0 Td
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+/R7 7.97011 Tf
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/R11 7.97011 Tf
-0 1 -1 0 189.495 34.521 Tm
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-/R19 5.97758 Tf
-0 1 -1 0 186.615 108.441 Tm
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-0 1 -1 0 189.495 118.401 Tm
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+/R7 7.97011 Tf
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+/R17 5.97758 Tf
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+/R13 5.97758 Tf
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+/R11 7.97011 Tf
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+/R7 7.97011 Tf
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+-113.542 22.9352 Td
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+/R11 7.97011 Tf
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+/R7 7.97011 Tf
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+-6.60013 17.718 Td
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+/R11 7.97011 Tf
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+/R11 7.97011 Tf
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+/R7 7.97011 Tf
+2.40011 0 Td
+[(5)4.02971(0)4.03147]TJ
+-6.60013 17.7191 Td
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+/R11 7.97011 Tf
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+/R7 7.97011 Tf
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+-6.60013 17.7191 Td
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+/R11 7.97011 Tf
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+/R7 7.97011 Tf
+2.40011 0 Td
+[(0)4.02971(0)4.03147]TJ
+-6.60013 17.718 Td
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+/R11 7.97011 Tf
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+/R7 7.97011 Tf
+2.40011 0 Td
+[(2)4.02971(5)4.03147]TJ
+-6.60013 17.7189 Td
+[(1)4.02971]TJ
+/R11 7.97011 Tf
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+/R7 7.97011 Tf
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/R9 7.97011 Tf
-4.2 0 Td
-[(s)-2.57456<29>6.48124]TJ
-/R21 9.96264 Tf
-1 0 0 1 11.101 390.906 Tm
-[(A)-1.745]TJ
-188.199 2.04098 Td
-[(B)-1.74558]TJ
--188.199 -33.272 Td
-[(C)4.38999]TJ
+0 1 -1 0 185.116 34.5086 Tm
+[(E)4.6376(x)-7.85636(c)5.25647(i)-2.95635(t)6.594(a)-1.91244(t)6.594(o)34.1506(r)0.649642(y)-384.262(r)0.649642(a)-1.912(t)6.594(e)-356.089(1)4.03147]TJ
+/R7 7.97011 Tf
+62.2799 0 Td
+[<28>6.48148(1)4.03147(0)4.03147]TJ
+/R17 5.97758 Tf
+11.64 2.75996 Td
+[<00>-1.59993]TJ
+/R13 5.97758 Tf
+5.76003 0 Td
+[(2)8.75097]TJ
+/R11 7.97011 Tf
+4.20002 -2.75996 Td
+[(=)4.02971]TJ
+/R7 7.97011 Tf
+4.20002 0 Td
+[(s)-2.57395<29>6.4806]TJ
+/R19 9.96264 Tf
+1 0 0 1 11.0759 390.894 Tm
+[(A)-1.74498]TJ
+188.199 2.04116 Td
+[(B)-1.74551]TJ
+-188.199 -33.2722 Td
+[(C)4.39014]TJ
188.199 -66.534 Td
-[(D)-0.969246]TJ
+[(D)-0.970507]TJ
-188.199 -104.186 Td
-[(E)2.61499]TJ
-89.303 TL
-T*[(F)-3.29488]TJ
-188.199 44.651 Td
-[(G)-1.74558]TJ
-/R11 3.98506 Tf
-1 0 0 1 128.87 302.615 Tm
-[(0)-11.0246]TJ
-/R23 3.98506 Tf
-30.589 0 Td
-[(1)-12.5861(0)-12.5861]TJ
-/R23 2.78953 Tf
-5.52 1.56 Td
+[(E)2.61509]TJ
+89.3031 TL
+T*[(F)-3.29498]TJ
+188.199 44.6512 Td
+[(G)-1.74551]TJ
+/R9 3.98506 Tf
+-70.43 158.312 Td
+[(0)-11.0237]TJ
+/R21 3.98506 Tf
+30.5889 0 Td
+[(1)-12.5885(0)-12.5885]TJ
+/R21 2.78953 Tf
+1 0 0 1 164.954 304.163 Tm
[(5)-8.28852]TJ
+/R21 3.98506 Tf
+1 0 0 1 122.192 308.987 Tm
+[(0)-12.5885]TJ
+-5.42418 20.412 Td
+[(5)-12.5885(0)-12.5885(0)-12.5885]TJ
+/R7 7.97011 Tf
+-16.1649 -101.964 Td
+[(1)4.03147(7)4.03147(0)-3793.28(1)4.02971(5)4.03147(0)4.02971]TJ
+/R11 7.97011 Tf
+20.7071 -4.12514 Td
+[<17>-4.97033]TJ
+/R13 5.97758 Tf
+4.20002 -0.959819 Td
+[(e)3.97345(x)0.602465(t)-0.799379]TJ
+/R21 3.98506 Tf
+-40.418 -190.185 Td
+[(0)-12.5867]TJ
/R23 3.98506 Tf
--42.762 4.824 Td
-[(0)-12.5861]TJ
--5.424 20.412 Td
-[(5)-12.5861(0)-12.5861(0)-12.5861]TJ
-/R9 7.97011 Tf
--16.165 -101.964 Td
-[(1)4.03166(7)4.03166(0)-3793.28(1)4.03166(5)4.03166(0)4.03166]TJ
-/R13 7.97011 Tf
-20.707 -4.125 Td
-[<17>-4.96827]TJ
-/R15 5.97758 Tf
-1 0 0 1 125.535 222.362 Tm
-[(e)3.97579(x)0.599897(t)-0.799863]TJ
+2.75996 0 Td
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+/R21 3.98506 Tf
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+/R23 3.98506 Tf
+38.03 0 Td
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+/R21 3.98506 Tf
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+/R25 3.98506 Tf
+-58.6889 7.4391 Td
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+/R21 3.98506 Tf
+4.31997 0 Td
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+/R23 3.98506 Tf
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+/R21 3.98506 Tf
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+[(0)-12.5867(2)-12.5885]TJ
+-4.56189 24.4389 Td
+[(0)-12.5867]TJ
+/R23 3.98506 Tf
+2.75996 0 Td
+[(:)6.31357]TJ
+/R21 3.98506 Tf
+1.79991 0 Td
+[(0)-12.5867(2)-12.5885]TJ
ET
Q
Q
diff --git a/figures/SchueckerSchmidt2017/Fig2_EE_example.py b/figures/SchueckerSchmidt2017/Fig2_EE_example.py
index 4f8b6ab..8a41047 100644
--- a/figures/SchueckerSchmidt2017/Fig2_EE_example.py
+++ b/figures/SchueckerSchmidt2017/Fig2_EE_example.py
@@ -342,9 +342,12 @@ ax.set_xticks([])
ax.set_yticks([])
"""
-Panel D: Phase space
+Panel D and G: Phase space with flux and nullclines
"""
ax = axes['D']
+axG = axes['G']
+axG.set_ylabel(r'Excitatory rate 1 $(10^{-2}/\mathrm{s})$')
+axG.set_xlabel(r'Excitatory rate 2 $(10^{-2}/\mathrm{s})$')
rates_init = np.arange(0., 200., 10.)
@@ -362,14 +365,15 @@ colors = ['k', myblue, myred]
for i, netp in enumerate([network_params_base,
network_params_inc,
network_params_stab]):
- # For the stabilized network, compute fixed point of network with
- # increased ext. input and adapt indegree to stabilize the network
- if i == 2:
- fp = net.fsolve(([18., 18.]))['rates'][0][0]
- deltaK = -1. * network_params['K'] * (161. - 160.) / fp
- network_params_stab.update({'K': network_params['K'] + deltaK})
net = network2D(netp)
+ # For the stabilized network, compute fixed point of base network
+ # and adapt indegree to stabilize the network
+ if i == 0:
+ fp = net.fsolve(([18., 18.]))['rates'][0][0]
+ deltaK = -1. * network_params['K'] * (161. - 160.) / fp
+ network_params_stab.update({'K_stable': network_params['K'] + deltaK})
+
fp_list = []
for init in rate_init:
res = net.fsolve([init, init])
@@ -378,23 +382,69 @@ for i, netp in enumerate([network_params_base,
print(fp_list)
for fp in fp_list:
if fp[0] < 3.:
- ax.plot(fp[0], fp[1], 'D', color=colors[i], markersize=2)
+ if i == 1:
+ ax.plot(fp[0], fp[1], 's', color=colors[i], markersize=2 + 3)
+ axG.plot(fp[0] * 1e2, fp[1] * 1e2, 's',
+ color=colors[i], markersize=2 + 3)
+ else:
+ ax.plot(fp[0], fp[1], 'D', color=colors[i], markersize=2)
+ axG.plot(fp[0] * 1e2, fp[1] * 1e2, 'D',
+ color=colors[i], markersize=2)
elif fp[0] > 3. and fp[0] < 28.8:
ax.plot(fp[0], fp[1], '.', color=colors[i], markersize=5)
+ axG.plot(fp[0] * 1e2, fp[1] * 1e2, '.',
+ color=colors[i], markersize=5)
+ separatrix = ([0, 2 * fp[0]], [2 * fp[1], 0])
+ if i == 0:
+ ax.plot(separatrix[0], separatrix[1], lw=5, color=colors[i])
+ else:
+ ax.plot(separatrix[0], separatrix[1], color=colors[i])
+
elif fp[0] > 28.8:
- ax.plot(fp[0], fp[1], '+', color=colors[i], markersize=3)
+ if i == 0:
+ ax.plot(fp[0], fp[1], '+', color=colors[i], markersize=3)
+ axG.plot(fp[0] * 1e2, fp[1] * 1e2, '+',
+ color=colors[i], markersize=3)
ax.set_ylabel(r'Excitatory rate 1 $(1/\mathrm{s})$')
ax.set_xlabel(r'Excitatory rate 2 $(1/\mathrm{s})$')
-
-
-"""
-Panel G: Flux space
-"""
-ax = axes['G']
-ax.set_ylabel(r'Excitatory rate 1 $(10^{-2}/\mathrm{s})$')
-ax.set_xlabel(r'Excitatory rate 2 $(10^{-2}/\mathrm{s})$')
+y0 = 0.
+x1 = 0.015
+y1 = 0.015
+
+# vector fiels
+netp = network_params_base
+net = network2D(netp)
+range_vector = np.arange(0., 51., 10.)
+x, y, vx, vy = net.vector_field(range_vector, range_vector)
+ax.quiver(x, y, vx, vy, angles='xy', scale_units='xy', scale=8)
+
+range_vector = np.linspace(0.001, 0.015, 4)
+x, y, vx, vy = net.vector_field(range_vector, range_vector)
+axG.quiver(x * 1e2, y * 1e2, vx * 1e2, vy * 1e2,
+ angles='xy', scale_units='xy', scale=10)
+
+netp = network_params_stab
+net = network2D(netp)
+range_vector = np.linspace(0.001, 0.015, 4)
+x, y, vx, vy = net.vector_field(range_vector, range_vector)
+axG.quiver(x * 1e2, y * 1e2, vx * 1e2, vy * 1e2,
+ angles='xy', scale_units='xy', scale=10, color=myred)
+
+# nullclines
+netp = network_params_base
+net = network2D(netp)
+x0_vec = np.arange(0, 50, 0.1)
+nullcline_x0 = net.nullclines_x0(x0_vec)
+ax.plot(nullcline_x0, x0_vec, '--', color='black', label='x0')
+ax.plot(x0_vec, nullcline_x0, '--', color='black', label='x0')
+
+# set limes
+axG.set_xlim((x0 * 1e2, x1 * 1e2))
+axG.set_ylim((y0 * 1e2, y1 * 1e2))
+ax.set_xlim([-5, 50])
+ax.set_ylim([-5, 50])
"""
diff --git a/figures/SchueckerSchmidt2017/Fig2_EE_network.py b/figures/SchueckerSchmidt2017/Fig2_EE_network.py
index 994974a..de516c6 100644
--- a/figures/SchueckerSchmidt2017/Fig2_EE_network.py
+++ b/figures/SchueckerSchmidt2017/Fig2_EE_network.py
@@ -70,7 +70,7 @@ class network2D:
def __init__(self, params):
self.label = '2D'
self.params = {'input_params': params['input_params'],
- 'neuron_params': {'single_neuron_dict': single_neuron_dict},
+ 'neuron_params': {'single_neuron_dict': copy(single_neuron_dict)},
'connection_params': {'replace_cc': None,
'replace_cc_input_source': None}
}
@@ -79,8 +79,13 @@ class network2D:
self.structure = {'A': {'E1', 'E2'}}
self.structure_vec = ['A-E1', 'A-E2']
self.area_list = ['A']
- self.K_matrix = np.array(
- [[params['K'] / 2., params['K'] / 2., params['K']]])
+ if 'K_stable' in params.keys():
+ self.K_matrix = np.array(
+ [[params['K_stable'] / 2., params['K_stable'] / 2., params['K']]])
+ else:
+ self.K_matrix = np.array(
+ [[params['K'] / 2., params['K'] / 2., params['K']]])
+
self.W_matrix = np.array([[params['W'], params['W'], params['W']]])
self.J_matrix = convert_syn_weight(self.W_matrix,
self.params['neuron_params']['single_neuron_dict'])
@@ -105,3 +110,47 @@ class network2D:
result_dic = {'rates': np.array([result[0]]), 'mus': np.array(
[mu]), 'sigmas': np.array([sigma]), 'eps': result[-1], 'time': np.array([0])}
return result_dic
+
+ def vector_field(self, x_vec, y_vec):
+ NP = self.params['neuron_params']['single_neuron_dict']
+ vector_matrix_x = np.zeros((len(y_vec), len(x_vec)))
+ vector_matrix_y = np.zeros((len(y_vec), len(x_vec)))
+ for i, x in enumerate(y_vec):
+ for j, y in enumerate(x_vec):
+ mu, sigma = self.theory.mu_sigma([x, y])
+ new_rates = np.array(
+ list(map(lambda mu, sigma: nu0_fb(mu, sigma,
+ 1.e-3 * NP['tau_m'],
+ 1.e-3 * NP['tau_syn_ex'],
+ 1.e-3 * NP['t_ref'],
+ NP['V_th'] - NP['E_L'],
+ NP['V_reset'] - NP['E_L']),
+ mu, sigma)))
+ vector_matrix_x[i, j] = (new_rates[1] - y)
+ vector_matrix_y[i, j] = (new_rates[0] - x)
+ x, y = np.meshgrid(x_vec, y_vec)
+ return x, y, vector_matrix_x, vector_matrix_y
+
+ def nullclines_x0(self, x0_vec):
+ NP = self.params['neuron_params']['single_neuron_dict']
+
+ def nullcline(x0, x1):
+ rates = np.zeros(2)
+ rates[0] = x0
+ rates[1] = x1
+ mu, sigma = self.theory.mu_sigma(rates)
+ new_rates = np.array(
+ list(map(lambda mu, sigma: nu0_fb(mu, sigma,
+ 1.e-3 * NP['tau_m'],
+ 1.e-3 * NP['tau_syn_ex'],
+ 1.e-3 * NP['t_ref'],
+ NP['V_th'] - NP['E_L'],
+ NP['V_reset'] - NP['E_L']), mu, sigma)))[0]
+ return new_rates - x0
+
+ nullcline_x0 = []
+ for x0 in x0_vec:
+ result = optimize.fsolve(
+ lambda x: nullcline(x0, x), 0, full_output=1)
+ nullcline_x0.append(result[0][0])
+ return nullcline_x0
diff --git a/multiarea_model/theory.py b/multiarea_model/theory.py
index 6911e31..d75545c 100644
--- a/multiarea_model/theory.py
+++ b/multiarea_model/theory.py
@@ -298,7 +298,6 @@ class Theory:
'tau_m'] / C_m * self.network.add_DC_drive
sigma2 = self.NP['tau_m'] * 1e-3 * np.dot(KJ2, rates) + sigma2_CC
sigma = np.sqrt(sigma2)
-
return mu, sigma
def d_nu(self, mu, sigma):
--
GitLab