From 8df8c1c5e2bda2a8cf0b430a9e40bb255656c690 Mon Sep 17 00:00:00 2001
From: Yi Zhang <zhangyiss@icloud.com>
Date: Tue, 20 Oct 2020 16:09:21 +0800
Subject: [PATCH] add data folder

---
 data/gauss_dist.nc       |  Bin 0 -> 83636 bytes
 data/trace.txt           | 4092 ++++++++++++++++++++++++++++++++++++++
 data/trace_adabelief.eps | 1267 ++++++++++++
 data/trace_adabelief.png |  Bin 0 -> 46279 bytes
 data/trace_adabelief.txt |  110 +
 data/trace_adagrad.eps   | 1176 +++++++++++
 data/trace_adagrad.png   |  Bin 0 -> 39840 bytes
 data/trace_adagrad.txt   |  189 ++
 data/trace_adam.eps      | 1392 +++++++++++++
 data/trace_adam.png      |  Bin 0 -> 46727 bytes
 data/trace_adam.txt      |  235 +++
 data/trace_adamax.eps    | 1204 +++++++++++
 data/trace_adamax.png    |  Bin 0 -> 42669 bytes
 data/trace_adamax.txt    |  120 ++
 data/trace_momentum.eps  | 1583 +++++++++++++++
 data/trace_momentum.png  |  Bin 0 -> 148069 bytes
 data/trace_momentum.txt  | 1975 ++++++++++++++++++
 data/trace_nadam.eps     | 1186 +++++++++++
 data/trace_nadam.png     |  Bin 0 -> 40360 bytes
 data/trace_nadam.txt     |  124 ++
 data/trace_nag.eps       | 1485 ++++++++++++++
 data/trace_nag.png       |  Bin 0 -> 98522 bytes
 data/trace_nag.txt       | 1038 ++++++++++
 data/trace_rmsprop.eps   | 1249 ++++++++++++
 data/trace_rmsprop.png   |  Bin 0 -> 42452 bytes
 data/trace_rmsprop.txt   |  293 +++
 src/lib/sgd.cpp          |  287 ++-
 src/lib/sgd.h            |   31 +
 src/sample/sample.cpp    |  103 +-
 29 files changed, 19121 insertions(+), 18 deletions(-)
 create mode 100644 data/gauss_dist.nc
 create mode 100644 data/trace.txt
 create mode 100644 data/trace_adabelief.eps
 create mode 100644 data/trace_adabelief.png
 create mode 100644 data/trace_adabelief.txt
 create mode 100644 data/trace_adagrad.eps
 create mode 100644 data/trace_adagrad.png
 create mode 100644 data/trace_adagrad.txt
 create mode 100644 data/trace_adam.eps
 create mode 100644 data/trace_adam.png
 create mode 100644 data/trace_adam.txt
 create mode 100644 data/trace_adamax.eps
 create mode 100644 data/trace_adamax.png
 create mode 100644 data/trace_adamax.txt
 create mode 100644 data/trace_momentum.eps
 create mode 100644 data/trace_momentum.png
 create mode 100644 data/trace_momentum.txt
 create mode 100644 data/trace_nadam.eps
 create mode 100644 data/trace_nadam.png
 create mode 100644 data/trace_nadam.txt
 create mode 100644 data/trace_nag.eps
 create mode 100644 data/trace_nag.png
 create mode 100644 data/trace_nag.txt
 create mode 100644 data/trace_rmsprop.eps
 create mode 100644 data/trace_rmsprop.png
 create mode 100644 data/trace_rmsprop.txt

diff --git a/data/gauss_dist.nc b/data/gauss_dist.nc
new file mode 100644
index 0000000000000000000000000000000000000000..d8491ae4380ce9eff9c9c2b43ed47c05015e900e
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+/MS {/SMat matrix currentmatrix def}!
+/MR {SMat setmatrix}!
+/edef {exch def}!
+/FS {/fc edef /fs {V fc F U} def}!
+/FQ {/fs {} def}!
+/O0 {/os {N} def}!
+/O1 {/os {P S} def}!
+/FO {fs os}!
+/Sa {M MS dup 0 exch G 0.726542528 mul -72 R dup 0 D 4 {72 R dup 0 D -144 R dup 0 D} repeat pop MR FO}!
+/Sb {M dup 0 D exch 0 exch D neg 0 D FO}!
+/SB {MS T /BoxR edef /BoxW edef /BoxH edef BoxR 0 M
+  BoxW 0 BoxW BoxH BoxR arct BoxW BoxH 0 BoxH BoxR arct 0 BoxH 0 0 BoxR arct 0 0 BoxW 0 BoxR arct MR FO}!
+/Sc {N 3 -1 roll 0 360 arc FO}!
+/Sd {M 4 {dup} repeat 0 G neg dup dup D exch D D FO}!
+/Se {N MS T R scale 0 0 1 0 360 arc MR FO}!
+/Sg {M MS 22.5 R dup 0 exch G -22.5 R 0.765366865 mul dup 0 D 6 {-45 R dup 0 D} repeat pop MR FO}!
+/Sh {M MS dup 0 G -120 R dup 0 D 4 {-60 R dup 0 D} repeat pop MR FO}!
+/Si {M MS dup neg 0 exch G 60 R 1.732050808 mul dup 0 D 120 R 0 D MR FO}!
+/Sj {M MS R dup -2 div 2 index -2 div G dup 0 D exch 0 exch D neg 0 D MR FO}!
+/Sn {M MS dup 0 exch G -36 R 1.175570505 mul dup 0 D 3 {-72 R dup 0 D} repeat pop MR FO}!
+/Sp {N 3 -1 roll 0 360 arc fs N}!
+/SP {M {D} repeat FO}!
+/Sr {M dup -2 div 2 index -2 div G dup 0 D exch 0 exch D neg 0 D FO}!
+/SR {MS T /BoxR edef /BoxW edef /BoxH edef BoxR BoxW -2 div BoxH -2 div T BoxR 0 M
+  BoxW 0 BoxW BoxH BoxR arct BoxW BoxH 0 BoxH BoxR arct 0 BoxH 0 0 BoxR arct 0 0 BoxW 0 BoxR arct MR FO}!
+/Ss {M 1.414213562 mul dup dup dup -2 div dup G 0 D 0 exch D neg 0 D FO}!
+/St {M MS dup 0 exch G -60 R 1.732050808 mul dup 0 D -120 R 0 D MR FO}!
+/SV {0 exch M 0 D D D D D 0 D FO}!
+/Sv {0 0 M D D 0 D D D D D 0 D D FO}!
+/Sw {2 copy M 5 2 roll arc FO}!
+/Sx {M 1.414213562 mul 5 {dup} repeat -2 div dup G D neg 0 G neg D S}!
+/Sy {M dup 0 exch G dup -2 mul dup 0 exch D S}!
+/S+ {M dup 0 G dup -2 mul dup 0 D exch dup G 0 exch D S}!
+/S- {M dup 0 G dup -2 mul dup 0 D S}!
+/sw {stringwidth pop}!
+/sh {V MU 0 0 M FP pathbbox N 4 1 roll pop pop pop U}!
+/sd {V MU 0 0 M FP pathbbox N pop pop exch pop U}!
+/sH {V MU 0 0 M FP pathbbox N exch pop exch sub exch pop U}!
+/sb {E exch sh}!
+/bl {}!
+/bc {E -2 div 0 G}!
+/br {E neg 0 G}!
+/ml {dup 0 exch sh -2 div G}!
+/mc {dup E -2 div exch sh -2 div G}!
+/mr {dup E neg exch sh -2 div G}!
+/tl {dup 0 exch sh neg G}!
+/tc {dup E -2 div exch sh neg G}!
+/tr {dup E neg exch sh neg G}!
+/mx {2 copy lt {exch} if pop}!
+/PSL_xorig 0 def /PSL_yorig 0 def
+/TM {2 copy T PSL_yorig add /PSL_yorig edef PSL_xorig add /PSL_xorig edef}!
+/PSL_reencode {findfont dup length dict begin
+  {1 index /FID ne {def}{pop pop} ifelse} forall
+  exch /Encoding edef currentdict end definefont pop
+}!
+/PSL_eps_begin {
+  /PSL_eps_state save def
+  /PSL_dict_count countdictstack def
+  /PSL_op_count count 1 sub def
+  userdict begin
+  /showpage {} def
+  0 setgray 0 setlinecap 1 setlinewidth
+  0 setlinejoin 10 setmiterlimit [] 0 setdash newpath
+  /languagelevel where
+  {pop languagelevel 1 ne {false setstrokeadjust false setoverprint} if} if
+}!
+/PSL_eps_end {
+  count PSL_op_count sub {pop} repeat
+  countdictstack PSL_dict_count sub {end} repeat
+  PSL_eps_state restore
+}!
+/PSL_transp {
+  /.setopacityalpha where {pop .setblendmode .setopacityalpha}{
+  /pdfmark where {pop [ /BM exch /CA exch dup /ca exch /SetTransparency pdfmark}
+  {pop pop} ifelse} ifelse
+}!
+/ISOLatin1+_Encoding [
+/.notdef	/.notdef	/.notdef	/.notdef	/.notdef	/.notdef	/.notdef	/.notdef
+/.notdef	/.notdef	/.notdef	/.notdef	/.notdef	/.notdef	/.notdef	/.notdef
+/.notdef	/.notdef	/.notdef	/.notdef	/.notdef	/.notdef	/.notdef	/.notdef
+/.notdef	/bullet		/ellipsis	/trademark	/emdash		/endash		/fi		/zcaron
+/space		/exclam		/quotedbl	/numbersign	/dollar		/percent	/ampersand	/quoteright
+/parenleft	/parenright	/asterisk	/plus		/comma		/minus		/period		/slash
+/zero		/one		/two		/three		/four		/five		/six		/seven
+/eight		/nine		/colon		/semicolon	/less		/equal		/greater	/question
+/at		/A		/B		/C		/D		/E		/F		/G
+/H		/I		/J		/K		/L		/M		/N		/O
+/P		/Q		/R		/S		/T		/U		/V		/W
+/X		/Y		/Z		/bracketleft	/backslash	/bracketright	/asciicircum	/underscore
+/quoteleft	/a		/b		/c 		/d		/e		/f		/g
+/h		/i		/j		/k		/l		/m		/n		/o
+/p		/q		/r		/s		/t		/u		/v		/w
+/x		/y		/z		/braceleft	/bar		/braceright	/asciitilde	/scaron
+/OE		/dagger		/daggerdbl	/Lslash		/fraction	/guilsinglleft	/Scaron		/guilsinglright
+/oe		/Ydieresis	/Zcaron		/lslash		/perthousand	/quotedblbase	/quotedblleft	/quotedblright
+/dotlessi	/grave		/acute		/circumflex	/tilde		/macron		/breve		/dotaccent
+/dieresis	/quotesinglbase	/ring		/cedilla	/quotesingle	/hungarumlaut	/ogonek		/caron
+/space		/exclamdown	/cent		/sterling	/currency	/yen		/brokenbar	/section
+/dieresis	/copyright	/ordfeminine	/guillemotleft	/logicalnot	/hyphen		/registered	/macron
+/degree		/plusminus	/twosuperior	/threesuperior	/acute		/mu		/paragraph	/periodcentered
+/cedilla	/onesuperior	/ordmasculine	/guillemotright	/onequarter	/onehalf	/threequarters	/questiondown
+/Agrave		/Aacute		/Acircumflex	/Atilde		/Adieresis	/Aring		/AE		/Ccedilla
+/Egrave		/Eacute		/Ecircumflex	/Edieresis	/Igrave		/Iacute		/Icircumflex	/Idieresis
+/Eth		/Ntilde		/Ograve		/Oacute		/Ocircumflex	/Otilde		/Odieresis	/multiply
+/Oslash		/Ugrave		/Uacute		/Ucircumflex	/Udieresis	/Yacute		/Thorn		/germandbls
+/agrave		/aacute		/acircumflex	/atilde		/adieresis	/aring		/ae		/ccedilla
+/egrave		/eacute		/ecircumflex	/edieresis	/igrave		/iacute		/icircumflex	/idieresis
+/eth		/ntilde		/ograve		/oacute		/ocircumflex	/otilde		/odieresis	/divide
+/oslash		/ugrave		/uacute		/ucircumflex	/udieresis	/yacute		/thorn		/ydieresis
+] def
+/PSL_font_encode 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 39 array astore def
+/F0 {/Helvetica Y}!
+/F1 {/Helvetica-Bold Y}!
+/F2 {/Helvetica-Oblique Y}!
+/F3 {/Helvetica-BoldOblique Y}!
+/F4 {/Times-Roman Y}!
+/F5 {/Times-Bold Y}!
+/F6 {/Times-Italic Y}!
+/F7 {/Times-BoldItalic Y}!
+/F8 {/Courier Y}!
+/F9 {/Courier-Bold Y}!
+/F10 {/Courier-Oblique Y}!
+/F11 {/Courier-BoldOblique Y}!
+/F12 {/Symbol Y}!
+/F13 {/AvantGarde-Book Y}!
+/F14 {/AvantGarde-BookOblique Y}!
+/F15 {/AvantGarde-Demi Y}!
+/F16 {/AvantGarde-DemiOblique Y}!
+/F17 {/Bookman-Demi Y}!
+/F18 {/Bookman-DemiItalic Y}!
+/F19 {/Bookman-Light Y}!
+/F20 {/Bookman-LightItalic Y}!
+/F21 {/Helvetica-Narrow Y}!
+/F22 {/Helvetica-Narrow-Bold Y}!
+/F23 {/Helvetica-Narrow-Oblique Y}!
+/F24 {/Helvetica-Narrow-BoldOblique Y}!
+/F25 {/NewCenturySchlbk-Roman Y}!
+/F26 {/NewCenturySchlbk-Italic Y}!
+/F27 {/NewCenturySchlbk-Bold Y}!
+/F28 {/NewCenturySchlbk-BoldItalic Y}!
+/F29 {/Palatino-Roman Y}!
+/F30 {/Palatino-Italic Y}!
+/F31 {/Palatino-Bold Y}!
+/F32 {/Palatino-BoldItalic Y}!
+/F33 {/ZapfChancery-MediumItalic Y}!
+/F34 {/ZapfDingbats Y}!
+/F35 {/Ryumin-Light-EUC-H Y}!
+/F36 {/Ryumin-Light-EUC-V Y}!
+/F37 {/GothicBBB-Medium-EUC-H Y}!
+/F38 {/GothicBBB-Medium-EUC-V Y}!
+/PSL_pathtextdict 26 dict def
+/PSL_pathtext
+  {PSL_pathtextdict begin
+    /ydepth exch def
+    /textheight exch def
+    /just exch def
+    /offset exch def
+    /str exch def
+    /pathdist 0 def
+    /setdist offset def
+    /charcount 0 def
+    /justy just 4 idiv textheight mul 2 div neg ydepth sub def
+    V flattenpath
+	{movetoproc} {linetoproc}
+	{curvetoproc} {closepathproc}
+	pathforall
+    U N
+    end
+  } def
+PSL_pathtextdict begin
+/movetoproc
+  { /newy exch def /newx exch def
+    /firstx newx def /firsty newy def
+    /ovr 0 def
+    newx newy transform
+    /cpy exch def /cpx exch def
+  } def
+/linetoproc
+  { /oldx newx def /oldy newy def
+    /newy exch def /newx exch def
+    /dx newx oldx sub def
+    /dy newy oldy sub def
+    /dist dx dup mul dy dup mul add sqrt def
+    dist 0 ne
+    { /dsx dx dist div ovr mul def
+      /dsy dy dist div ovr mul def
+      oldx dsx add oldy dsy add transform
+      /cpy exch def /cpx exch def
+      /pathdist pathdist dist add def
+      {setdist pathdist le
+	  {charcount str length lt
+	      {setchar} {exit} ifelse}
+	  { /ovr setdist pathdist sub def
+	    exit}
+	  ifelse
+      } loop
+    } if
+  } def
+/curvetoproc
+  { (ERROR: No curveto's after flattenpath!)
+    print
+  } def
+/closepathproc
+  {firstx firsty linetoproc
+    firstx firsty movetoproc
+  } def
+/setchar
+  { /char str charcount 1 getinterval def
+    /charcount charcount 1 add def
+    /charwidth char stringwidth pop def
+    V cpx cpy itransform T
+      dy dx atan R
+      0 justy M
+      char show
+      0 justy neg G
+      currentpoint transform
+      /cpy exch def /cpx exch def
+    U /setdist setdist charwidth add def
+  } def
+end
+/PSL_set_label_heights
+{
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  /PSL_heights PSL_n_labels array def
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    /psl_label PSL_label_str psl_k get def
+    PSL_label_font psl_k get cvx exec
+    psl_label sH /PSL_height edef
+    PSL_heights psl_k PSL_height put
+  } for
+} def
+/PSL_curved_path_labels
+{ /psl_bits exch def
+  /PSL_placetext psl_bits 2 and 2 eq def
+  /PSL_clippath psl_bits 4 and 4 eq def
+  /PSL_strokeline false def
+  /PSL_fillbox psl_bits 128 and 128 eq def
+  /PSL_drawbox psl_bits 256 and 256 eq def
+  /PSL_n_paths1 PSL_n_paths 1 sub def
+  /PSL_usebox PSL_fillbox PSL_drawbox or def
+  PSL_clippath {clipsave N clippath} if
+  /psl_k 0 def
+  /psl_p 0 def
+  0 1 PSL_n_paths1
+  { /psl_kk exch def
+    /PSL_n PSL_path_n  psl_kk get def
+    /PSL_m PSL_label_n psl_kk get def
+    /PSL_x PSL_path_x psl_k PSL_n getinterval def
+    /PSL_y PSL_path_y psl_k PSL_n getinterval def
+    /PSL_node_tmp PSL_label_node psl_p PSL_m getinterval def
+    /PSL_angle_tmp PSL_label_angle psl_p PSL_m getinterval def
+    /PSL_str_tmp PSL_label_str psl_p PSL_m getinterval def
+    /PSL_fnt_tmp PSL_label_font psl_p PSL_m getinterval def
+    PSL_curved_path_label
+    /psl_k psl_k PSL_n add def
+    /psl_p psl_p PSL_m add def
+  } for
+  PSL_clippath {PSL_eoclip} if N
+} def
+/PSL_curved_path_label
+{
+  /PSL_n1 PSL_n 1 sub def
+  /PSL_m1 PSL_m 1 sub def
+  PSL_CT_calcstringwidth
+  PSL_CT_calclinedist
+  PSL_CT_excludelabels
+  PSL_CT_addcutpoints
+  /PSL_nn1 PSL_nn 1 sub def
+  /n 0 def
+  /k 0 def
+  /j 0 def
+  /PSL_seg 0 def
+  /PSL_xp PSL_nn array def
+  /PSL_yp PSL_nn array def
+  PSL_xp 0 PSL_xx 0 get put
+  PSL_yp 0 PSL_yy 0 get put
+  1 1 PSL_nn1
+  { /i exch def
+    /node_type PSL_kind i get def
+    /j j 1 add def
+    PSL_xp j PSL_xx i get put
+    PSL_yp j PSL_yy i get put
+    node_type 1 eq
+    {n 0 eq
+      {PSL_CT_drawline}
+      {	PSL_CT_reversepath
+	PSL_CT_textline} ifelse
+      /j 0 def
+      PSL_xp j PSL_xx i get put
+      PSL_yp j PSL_yy i get put
+    } if
+  } for
+  n 0 eq {PSL_CT_drawline} if
+} def
+/PSL_CT_textline
+{ PSL_fnt k get cvx exec
+  /PSL_height PSL_heights k get def
+  PSL_placetext	{PSL_CT_placelabel} if
+  PSL_clippath {PSL_CT_clippath} if
+  /n 0 def /k k 1 add def
+} def
+/PSL_CT_calcstringwidth
+{ /PSL_width_tmp PSL_m array def
+  0 1 PSL_m1
+  { /i exch def
+    PSL_fnt_tmp i get cvx exec
+    PSL_width_tmp i PSL_str_tmp i get stringwidth pop put
+  } for
+} def
+/PSL_CT_calclinedist
+{ /PSL_newx PSL_x 0 get def
+  /PSL_newy PSL_y 0 get def
+  /dist 0.0 def
+  /PSL_dist PSL_n array def
+  PSL_dist 0 0.0 put
+  1 1 PSL_n1
+  { /i exch def
+    /PSL_oldx PSL_newx def
+    /PSL_oldy PSL_newy def
+    /PSL_newx PSL_x i get def
+    /PSL_newy PSL_y i get def
+    /dx PSL_newx PSL_oldx sub def
+    /dy PSL_newy PSL_oldy sub def
+    /dist dist dx dx mul dy dy mul add sqrt add def
+    PSL_dist i dist put
+  } for
+} def
+/PSL_CT_excludelabels
+{ /k 0 def
+  /PSL_width PSL_m array def
+  /PSL_angle PSL_m array def
+  /PSL_node PSL_m array def
+  /PSL_str PSL_m array def
+  /PSL_fnt PSL_m array def
+  /lastdist PSL_dist PSL_n1 get def
+  0 1 PSL_m1
+  { /i exch def
+    /dist PSL_dist PSL_node_tmp i get get def
+    /halfwidth PSL_width_tmp i get 2 div PSL_gap_x add def
+    /L_dist dist halfwidth sub def
+    /R_dist dist halfwidth add def
+    L_dist 0 gt R_dist lastdist lt and
+    {
+      PSL_width k PSL_width_tmp i get put
+      PSL_node k PSL_node_tmp i get put
+      PSL_angle k PSL_angle_tmp i get put
+      PSL_str k PSL_str_tmp i get put
+      PSL_fnt k PSL_fnt_tmp i get put
+      /k k 1 add def
+    } if
+  } for
+  /PSL_m k def
+  /PSL_m1 PSL_m 1 sub def
+} def
+/PSL_CT_addcutpoints
+{ /k 0 def
+  /PSL_nc PSL_m 2 mul 1 add def
+  /PSL_cuts PSL_nc array def
+  /PSL_nc1 PSL_nc 1 sub def
+  0 1 PSL_m1
+  { /i exch def
+    /dist PSL_dist PSL_node i get get def
+    /halfwidth PSL_width i get 2 div PSL_gap_x add def
+    PSL_cuts k dist halfwidth sub put
+    /k k 1 add def
+    PSL_cuts k dist halfwidth add put
+    /k k 1 add def
+  } for
+  PSL_cuts k 100000.0 put
+  /PSL_nn PSL_n PSL_m 2 mul add def
+  /PSL_xx PSL_nn array def
+  /PSL_yy PSL_nn array def
+  /PSL_kind PSL_nn array def
+  /j 0 def
+  /k 0 def
+  /dist 0.0 def
+  0 1 PSL_n1
+  { /i exch def
+    /last_dist dist def
+    /dist PSL_dist i get def
+    k 1 PSL_nc1
+    { /kk exch def
+      /this_cut PSL_cuts kk get def
+      dist this_cut gt
+      { /ds dist last_dist sub def
+	/f ds 0.0 eq {0.0} {dist this_cut sub ds div} ifelse def
+	/i1 i 0 eq {0} {i 1 sub} ifelse def
+	PSL_xx j PSL_x i get dup PSL_x i1 get sub f mul sub put
+	PSL_yy j PSL_y i get dup PSL_y i1 get sub f mul sub put
+	PSL_kind j 1 put
+	/j j 1 add def
+	/k k 1 add def
+      } if
+    } for
+    dist PSL_cuts k get le
+    {PSL_xx j PSL_x i get put PSL_yy j PSL_y i get put
+      PSL_kind j 0 put
+      /j j 1 add def
+    } if
+  } for
+} def
+/PSL_CT_reversepath
+{PSL_xp j get PSL_xp 0 get lt
+  {0 1 j 2 idiv
+    { /left exch def
+      /right j left sub def
+      /tmp PSL_xp left get def
+      PSL_xp left PSL_xp right get put
+      PSL_xp right tmp put
+      /tmp PSL_yp left get def
+      PSL_yp left PSL_yp right get put
+      PSL_yp right tmp put
+    } for
+  } if
+} def
+/PSL_CT_placelabel
+{
+  /PSL_just PSL_label_justify k get def
+  /PSL_height PSL_heights k get def
+  /psl_label PSL_str k get def
+  /psl_depth psl_label sd def
+  PSL_usebox
+  {PSL_CT_clippath
+    PSL_fillbox
+    {V PSL_setboxrgb fill U} if
+    PSL_drawbox
+    {V PSL_setboxpen S U} if N
+  } if
+  PSL_CT_placeline psl_label PSL_gap_x PSL_just PSL_height psl_depth PSL_pathtext
+} def
+/PSL_CT_clippath
+{
+  /H PSL_height 2 div PSL_gap_y add def
+  /xoff j 1 add array def
+  /yoff j 1 add array def
+  /angle 0 def
+  0 1 j {
+    /ii exch def
+    /x PSL_xp ii get def
+    /y PSL_yp ii get def
+    ii 0 eq {
+      /x1 PSL_xp 1 get def
+      /y1 PSL_yp 1 get def
+      /dx x1 x sub def
+      /dy y1 y sub def
+    }
+    { /i1 ii 1 sub def
+      /x1 PSL_xp i1 get def
+      /y1 PSL_yp i1 get def
+      /dx x x1 sub def
+      /dy y y1 sub def
+    } ifelse
+    dx 0.0 eq dy 0.0 eq and not
+    { /angle dy dx atan 90 add def} if
+    /sina angle sin def
+    /cosa angle cos def
+    xoff ii H cosa mul put
+    yoff ii H sina mul put
+  } for
+  PSL_xp 0 get xoff 0 get add PSL_yp 0 get yoff 0 get add M
+  1 1 j {
+    /ii exch def
+    PSL_xp ii get xoff ii get add PSL_yp ii get yoff ii get add L
+  } for
+  j -1 0 {
+    /ii exch def
+    PSL_xp ii get xoff ii get sub PSL_yp ii get yoff ii get sub L
+  } for P
+} def
+/PSL_CT_drawline
+{
+  /str 20 string def
+  PSL_strokeline
+  {PSL_CT_placeline S} if
+  /PSL_seg PSL_seg 1 add def
+  /n 1 def
+} def
+/PSL_CT_placeline
+{PSL_xp 0 get PSL_yp 0 get M
+  1 1 j { /ii exch def PSL_xp ii get PSL_yp ii get L} for
+} def
+/PSL_draw_path_lines
+{
+  /PSL_n_paths1 PSL_n_paths 1 sub def
+  V
+  /psl_start 0 def
+  0 1 PSL_n_paths1
+  { /psl_k exch def
+    /PSL_n PSL_path_n psl_k get def
+    /PSL_n1 PSL_n 1 sub def
+    PSL_path_pen psl_k get cvx exec
+    N
+    PSL_path_x psl_start get PSL_path_y psl_start get M
+    1 1 PSL_n1
+    { /psl_i exch def
+      /psl_kk psl_i psl_start add def
+      PSL_path_x psl_kk get PSL_path_y psl_kk get L
+    } for
+    /psl_xclose PSL_path_x psl_kk get PSL_path_x psl_start get sub def
+    /psl_yclose PSL_path_y psl_kk get PSL_path_y psl_start get sub def
+    psl_xclose 0 eq psl_yclose 0 eq and { P } if
+    S
+    /psl_start psl_start PSL_n add def
+  } for
+  U
+} def
+/PSL_straight_path_labels
+{
+  /psl_bits exch def
+  /PSL_placetext psl_bits 2 and 2 eq def
+  /PSL_rounded psl_bits 32 and 32 eq def
+  /PSL_fillbox psl_bits 128 and 128 eq def
+  /PSL_drawbox psl_bits 256 and 256 eq def
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  /PSL_usebox PSL_fillbox PSL_drawbox or def
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    PSL_ST_prepare_text
+    PSL_usebox
+    {  PSL_rounded
+        {PSL_ST_textbox_round}
+        {PSL_ST_textbox_rect}
+      ifelse
+      PSL_fillbox {V PSL_setboxrgb fill U} if
+      PSL_drawbox {V PSL_setboxpen S U} if
+      N
+    } if
+    PSL_placetext {PSL_ST_place_label} if
+  } for
+} def
+/PSL_straight_path_clip
+{
+  /psl_bits exch def
+  /PSL_rounded psl_bits 32 and 32 eq def
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  N clipsave clippath
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    PSL_ST_prepare_text
+    PSL_rounded
+      {PSL_ST_textbox_round}
+      {PSL_ST_textbox_rect}
+    ifelse
+  } for
+  PSL_eoclip N
+} def
+/PSL_ST_prepare_text
+{
+  /psl_xp PSL_txt_x psl_k get def
+  /psl_yp PSL_txt_y psl_k get def
+  /psl_label PSL_label_str psl_k get def
+  PSL_label_font psl_k get cvx exec
+  /PSL_height PSL_heights psl_k get def
+  /psl_boxH PSL_height PSL_gap_y 2 mul add def
+  /PSL_just PSL_label_justify psl_k get def
+  /PSL_justx PSL_just 4 mod 1 sub 2 div neg def
+  /PSL_justy PSL_just 4 idiv 2 div neg def
+  /psl_SW psl_label stringwidth pop def
+  /psl_boxW psl_SW PSL_gap_x 2 mul add def
+  /psl_x0 psl_SW PSL_justx mul def
+  /psl_y0 PSL_justy PSL_height mul def
+  /psl_angle PSL_label_angle psl_k get def
+} def
+/PSL_ST_textbox_rect
+{
+  psl_xp psl_yp T psl_angle R psl_x0 psl_y0 T
+  PSL_gap_x neg PSL_gap_y neg M
+  0 psl_boxH D psl_boxW 0 D 0 psl_boxH neg D P
+  psl_x0 neg psl_y0 neg T psl_angle neg R psl_xp neg psl_yp neg T
+} def
+/PSL_ST_textbox_round
+{
+  /psl_BoxR PSL_gap_x PSL_gap_y lt {PSL_gap_x} {PSL_gap_y} ifelse def
+  /psl_xd PSL_gap_x psl_BoxR sub def
+  /psl_yd PSL_gap_y psl_BoxR sub def
+  /psl_xL PSL_gap_x neg def
+  /psl_yB PSL_gap_y neg def
+  /psl_yT psl_boxH psl_yB add def
+  /psl_H2 PSL_height psl_yd 2 mul add def
+  /psl_W2 psl_SW psl_xd 2 mul add def
+  /psl_xR psl_xL psl_boxW add def
+  /psl_x0 psl_SW PSL_justx mul def
+  psl_xp psl_yp T psl_angle R psl_x0 psl_y0 T
+  psl_xL psl_yd M
+  psl_xL psl_yT psl_xR psl_yT psl_BoxR arct psl_W2 0 D
+  psl_xR psl_yT psl_xR psl_yB psl_BoxR arct 0 psl_H2 neg D
+  psl_xR psl_yB psl_xL psl_yB psl_BoxR arct psl_W2 neg 0 D
+  psl_xL psl_yB psl_xL psl_yd psl_BoxR arct P
+  psl_x0 neg psl_y0 neg T psl_angle neg R psl_xp neg psl_yp neg T
+} def
+/PSL_ST_place_label
+{
+    V psl_xp psl_yp T psl_angle R
+    psl_SW PSL_justx mul psl_y0 M
+    psl_label dup sd neg 0 exch G show
+    U
+} def
+/PSL_nclip 0 def
+/PSL_clip {clip /PSL_nclip PSL_nclip 1 add def} def
+/PSL_eoclip {eoclip /PSL_nclip PSL_nclip 1 add def} def
+/PSL_cliprestore {cliprestore /PSL_nclip PSL_nclip 1 sub def} def
+%%EndProlog
+%%BeginSetup
+/PSLevel /languagelevel where {pop languagelevel} {1} ifelse def
+<< /PageSize [148.518 153.54] >> setpagedevice
+-3.096 -10.728 translate
+%%EndSetup
+%%Page: 1 1
+%%BeginPageSetup
+V 0.06 0.06 scale
+%%EndPageSetup
+/PSL_page_xsize 9917 def
+/PSL_page_ysize 14033 def
+/PSL_plot_completion {} def
+/PSL_movie_completion {} def
+%PSL_End_Header
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+FQ
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+/TM {2 copy T PSL_yorig add /PSL_yorig edef PSL_xorig add /PSL_xorig edef}!
+/PSL_reencode {findfont dup length dict begin
+  {1 index /FID ne {def}{pop pop} ifelse} forall
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+}!
+/PSL_eps_begin {
+  /PSL_eps_state save def
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+  userdict begin
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+  {pop languagelevel 1 ne {false setstrokeadjust false setoverprint} if} if
+}!
+/PSL_eps_end {
+  count PSL_op_count sub {pop} repeat
+  countdictstack PSL_dict_count sub {end} repeat
+  PSL_eps_state restore
+}!
+/PSL_transp {
+  /.setopacityalpha where {pop .setblendmode .setopacityalpha}{
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+}!
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+/space		/exclam		/quotedbl	/numbersign	/dollar		/percent	/ampersand	/quoteright
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+/dotlessi	/grave		/acute		/circumflex	/tilde		/macron		/breve		/dotaccent
+/dieresis	/quotesinglbase	/ring		/cedilla	/quotesingle	/hungarumlaut	/ogonek		/caron
+/space		/exclamdown	/cent		/sterling	/currency	/yen		/brokenbar	/section
+/dieresis	/copyright	/ordfeminine	/guillemotleft	/logicalnot	/hyphen		/registered	/macron
+/degree		/plusminus	/twosuperior	/threesuperior	/acute		/mu		/paragraph	/periodcentered
+/cedilla	/onesuperior	/ordmasculine	/guillemotright	/onequarter	/onehalf	/threequarters	/questiondown
+/Agrave		/Aacute		/Acircumflex	/Atilde		/Adieresis	/Aring		/AE		/Ccedilla
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+/Eth		/Ntilde		/Ograve		/Oacute		/Ocircumflex	/Otilde		/Odieresis	/multiply
+/Oslash		/Ugrave		/Uacute		/Ucircumflex	/Udieresis	/Yacute		/Thorn		/germandbls
+/agrave		/aacute		/acircumflex	/atilde		/adieresis	/aring		/ae		/ccedilla
+/egrave		/eacute		/ecircumflex	/edieresis	/igrave		/iacute		/icircumflex	/idieresis
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+/oslash		/ugrave		/uacute		/ucircumflex	/udieresis	/yacute		/thorn		/ydieresis
+] def
+/PSL_font_encode 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 39 array astore def
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+/F7 {/Times-BoldItalic Y}!
+/F8 {/Courier Y}!
+/F9 {/Courier-Bold Y}!
+/F10 {/Courier-Oblique Y}!
+/F11 {/Courier-BoldOblique Y}!
+/F12 {/Symbol Y}!
+/F13 {/AvantGarde-Book Y}!
+/F14 {/AvantGarde-BookOblique Y}!
+/F15 {/AvantGarde-Demi Y}!
+/F16 {/AvantGarde-DemiOblique Y}!
+/F17 {/Bookman-Demi Y}!
+/F18 {/Bookman-DemiItalic Y}!
+/F19 {/Bookman-Light Y}!
+/F20 {/Bookman-LightItalic Y}!
+/F21 {/Helvetica-Narrow Y}!
+/F22 {/Helvetica-Narrow-Bold Y}!
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+/F24 {/Helvetica-Narrow-BoldOblique Y}!
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+/F27 {/NewCenturySchlbk-Bold Y}!
+/F28 {/NewCenturySchlbk-BoldItalic Y}!
+/F29 {/Palatino-Roman Y}!
+/F30 {/Palatino-Italic Y}!
+/F31 {/Palatino-Bold Y}!
+/F32 {/Palatino-BoldItalic Y}!
+/F33 {/ZapfChancery-MediumItalic Y}!
+/F34 {/ZapfDingbats Y}!
+/F35 {/Ryumin-Light-EUC-H Y}!
+/F36 {/Ryumin-Light-EUC-V Y}!
+/F37 {/GothicBBB-Medium-EUC-H Y}!
+/F38 {/GothicBBB-Medium-EUC-V Y}!
+/PSL_pathtextdict 26 dict def
+/PSL_pathtext
+  {PSL_pathtextdict begin
+    /ydepth exch def
+    /textheight exch def
+    /just exch def
+    /offset exch def
+    /str exch def
+    /pathdist 0 def
+    /setdist offset def
+    /charcount 0 def
+    /justy just 4 idiv textheight mul 2 div neg ydepth sub def
+    V flattenpath
+	{movetoproc} {linetoproc}
+	{curvetoproc} {closepathproc}
+	pathforall
+    U N
+    end
+  } def
+PSL_pathtextdict begin
+/movetoproc
+  { /newy exch def /newx exch def
+    /firstx newx def /firsty newy def
+    /ovr 0 def
+    newx newy transform
+    /cpy exch def /cpx exch def
+  } def
+/linetoproc
+  { /oldx newx def /oldy newy def
+    /newy exch def /newx exch def
+    /dx newx oldx sub def
+    /dy newy oldy sub def
+    /dist dx dup mul dy dup mul add sqrt def
+    dist 0 ne
+    { /dsx dx dist div ovr mul def
+      /dsy dy dist div ovr mul def
+      oldx dsx add oldy dsy add transform
+      /cpy exch def /cpx exch def
+      /pathdist pathdist dist add def
+      {setdist pathdist le
+	  {charcount str length lt
+	      {setchar} {exit} ifelse}
+	  { /ovr setdist pathdist sub def
+	    exit}
+	  ifelse
+      } loop
+    } if
+  } def
+/curvetoproc
+  { (ERROR: No curveto's after flattenpath!)
+    print
+  } def
+/closepathproc
+  {firstx firsty linetoproc
+    firstx firsty movetoproc
+  } def
+/setchar
+  { /char str charcount 1 getinterval def
+    /charcount charcount 1 add def
+    /charwidth char stringwidth pop def
+    V cpx cpy itransform T
+      dy dx atan R
+      0 justy M
+      char show
+      0 justy neg G
+      currentpoint transform
+      /cpy exch def /cpx exch def
+    U /setdist setdist charwidth add def
+  } def
+end
+/PSL_set_label_heights
+{
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  /PSL_heights PSL_n_labels array def
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    /psl_label PSL_label_str psl_k get def
+    PSL_label_font psl_k get cvx exec
+    psl_label sH /PSL_height edef
+    PSL_heights psl_k PSL_height put
+  } for
+} def
+/PSL_curved_path_labels
+{ /psl_bits exch def
+  /PSL_placetext psl_bits 2 and 2 eq def
+  /PSL_clippath psl_bits 4 and 4 eq def
+  /PSL_strokeline false def
+  /PSL_fillbox psl_bits 128 and 128 eq def
+  /PSL_drawbox psl_bits 256 and 256 eq def
+  /PSL_n_paths1 PSL_n_paths 1 sub def
+  /PSL_usebox PSL_fillbox PSL_drawbox or def
+  PSL_clippath {clipsave N clippath} if
+  /psl_k 0 def
+  /psl_p 0 def
+  0 1 PSL_n_paths1
+  { /psl_kk exch def
+    /PSL_n PSL_path_n  psl_kk get def
+    /PSL_m PSL_label_n psl_kk get def
+    /PSL_x PSL_path_x psl_k PSL_n getinterval def
+    /PSL_y PSL_path_y psl_k PSL_n getinterval def
+    /PSL_node_tmp PSL_label_node psl_p PSL_m getinterval def
+    /PSL_angle_tmp PSL_label_angle psl_p PSL_m getinterval def
+    /PSL_str_tmp PSL_label_str psl_p PSL_m getinterval def
+    /PSL_fnt_tmp PSL_label_font psl_p PSL_m getinterval def
+    PSL_curved_path_label
+    /psl_k psl_k PSL_n add def
+    /psl_p psl_p PSL_m add def
+  } for
+  PSL_clippath {PSL_eoclip} if N
+} def
+/PSL_curved_path_label
+{
+  /PSL_n1 PSL_n 1 sub def
+  /PSL_m1 PSL_m 1 sub def
+  PSL_CT_calcstringwidth
+  PSL_CT_calclinedist
+  PSL_CT_excludelabels
+  PSL_CT_addcutpoints
+  /PSL_nn1 PSL_nn 1 sub def
+  /n 0 def
+  /k 0 def
+  /j 0 def
+  /PSL_seg 0 def
+  /PSL_xp PSL_nn array def
+  /PSL_yp PSL_nn array def
+  PSL_xp 0 PSL_xx 0 get put
+  PSL_yp 0 PSL_yy 0 get put
+  1 1 PSL_nn1
+  { /i exch def
+    /node_type PSL_kind i get def
+    /j j 1 add def
+    PSL_xp j PSL_xx i get put
+    PSL_yp j PSL_yy i get put
+    node_type 1 eq
+    {n 0 eq
+      {PSL_CT_drawline}
+      {	PSL_CT_reversepath
+	PSL_CT_textline} ifelse
+      /j 0 def
+      PSL_xp j PSL_xx i get put
+      PSL_yp j PSL_yy i get put
+    } if
+  } for
+  n 0 eq {PSL_CT_drawline} if
+} def
+/PSL_CT_textline
+{ PSL_fnt k get cvx exec
+  /PSL_height PSL_heights k get def
+  PSL_placetext	{PSL_CT_placelabel} if
+  PSL_clippath {PSL_CT_clippath} if
+  /n 0 def /k k 1 add def
+} def
+/PSL_CT_calcstringwidth
+{ /PSL_width_tmp PSL_m array def
+  0 1 PSL_m1
+  { /i exch def
+    PSL_fnt_tmp i get cvx exec
+    PSL_width_tmp i PSL_str_tmp i get stringwidth pop put
+  } for
+} def
+/PSL_CT_calclinedist
+{ /PSL_newx PSL_x 0 get def
+  /PSL_newy PSL_y 0 get def
+  /dist 0.0 def
+  /PSL_dist PSL_n array def
+  PSL_dist 0 0.0 put
+  1 1 PSL_n1
+  { /i exch def
+    /PSL_oldx PSL_newx def
+    /PSL_oldy PSL_newy def
+    /PSL_newx PSL_x i get def
+    /PSL_newy PSL_y i get def
+    /dx PSL_newx PSL_oldx sub def
+    /dy PSL_newy PSL_oldy sub def
+    /dist dist dx dx mul dy dy mul add sqrt add def
+    PSL_dist i dist put
+  } for
+} def
+/PSL_CT_excludelabels
+{ /k 0 def
+  /PSL_width PSL_m array def
+  /PSL_angle PSL_m array def
+  /PSL_node PSL_m array def
+  /PSL_str PSL_m array def
+  /PSL_fnt PSL_m array def
+  /lastdist PSL_dist PSL_n1 get def
+  0 1 PSL_m1
+  { /i exch def
+    /dist PSL_dist PSL_node_tmp i get get def
+    /halfwidth PSL_width_tmp i get 2 div PSL_gap_x add def
+    /L_dist dist halfwidth sub def
+    /R_dist dist halfwidth add def
+    L_dist 0 gt R_dist lastdist lt and
+    {
+      PSL_width k PSL_width_tmp i get put
+      PSL_node k PSL_node_tmp i get put
+      PSL_angle k PSL_angle_tmp i get put
+      PSL_str k PSL_str_tmp i get put
+      PSL_fnt k PSL_fnt_tmp i get put
+      /k k 1 add def
+    } if
+  } for
+  /PSL_m k def
+  /PSL_m1 PSL_m 1 sub def
+} def
+/PSL_CT_addcutpoints
+{ /k 0 def
+  /PSL_nc PSL_m 2 mul 1 add def
+  /PSL_cuts PSL_nc array def
+  /PSL_nc1 PSL_nc 1 sub def
+  0 1 PSL_m1
+  { /i exch def
+    /dist PSL_dist PSL_node i get get def
+    /halfwidth PSL_width i get 2 div PSL_gap_x add def
+    PSL_cuts k dist halfwidth sub put
+    /k k 1 add def
+    PSL_cuts k dist halfwidth add put
+    /k k 1 add def
+  } for
+  PSL_cuts k 100000.0 put
+  /PSL_nn PSL_n PSL_m 2 mul add def
+  /PSL_xx PSL_nn array def
+  /PSL_yy PSL_nn array def
+  /PSL_kind PSL_nn array def
+  /j 0 def
+  /k 0 def
+  /dist 0.0 def
+  0 1 PSL_n1
+  { /i exch def
+    /last_dist dist def
+    /dist PSL_dist i get def
+    k 1 PSL_nc1
+    { /kk exch def
+      /this_cut PSL_cuts kk get def
+      dist this_cut gt
+      { /ds dist last_dist sub def
+	/f ds 0.0 eq {0.0} {dist this_cut sub ds div} ifelse def
+	/i1 i 0 eq {0} {i 1 sub} ifelse def
+	PSL_xx j PSL_x i get dup PSL_x i1 get sub f mul sub put
+	PSL_yy j PSL_y i get dup PSL_y i1 get sub f mul sub put
+	PSL_kind j 1 put
+	/j j 1 add def
+	/k k 1 add def
+      } if
+    } for
+    dist PSL_cuts k get le
+    {PSL_xx j PSL_x i get put PSL_yy j PSL_y i get put
+      PSL_kind j 0 put
+      /j j 1 add def
+    } if
+  } for
+} def
+/PSL_CT_reversepath
+{PSL_xp j get PSL_xp 0 get lt
+  {0 1 j 2 idiv
+    { /left exch def
+      /right j left sub def
+      /tmp PSL_xp left get def
+      PSL_xp left PSL_xp right get put
+      PSL_xp right tmp put
+      /tmp PSL_yp left get def
+      PSL_yp left PSL_yp right get put
+      PSL_yp right tmp put
+    } for
+  } if
+} def
+/PSL_CT_placelabel
+{
+  /PSL_just PSL_label_justify k get def
+  /PSL_height PSL_heights k get def
+  /psl_label PSL_str k get def
+  /psl_depth psl_label sd def
+  PSL_usebox
+  {PSL_CT_clippath
+    PSL_fillbox
+    {V PSL_setboxrgb fill U} if
+    PSL_drawbox
+    {V PSL_setboxpen S U} if N
+  } if
+  PSL_CT_placeline psl_label PSL_gap_x PSL_just PSL_height psl_depth PSL_pathtext
+} def
+/PSL_CT_clippath
+{
+  /H PSL_height 2 div PSL_gap_y add def
+  /xoff j 1 add array def
+  /yoff j 1 add array def
+  /angle 0 def
+  0 1 j {
+    /ii exch def
+    /x PSL_xp ii get def
+    /y PSL_yp ii get def
+    ii 0 eq {
+      /x1 PSL_xp 1 get def
+      /y1 PSL_yp 1 get def
+      /dx x1 x sub def
+      /dy y1 y sub def
+    }
+    { /i1 ii 1 sub def
+      /x1 PSL_xp i1 get def
+      /y1 PSL_yp i1 get def
+      /dx x x1 sub def
+      /dy y y1 sub def
+    } ifelse
+    dx 0.0 eq dy 0.0 eq and not
+    { /angle dy dx atan 90 add def} if
+    /sina angle sin def
+    /cosa angle cos def
+    xoff ii H cosa mul put
+    yoff ii H sina mul put
+  } for
+  PSL_xp 0 get xoff 0 get add PSL_yp 0 get yoff 0 get add M
+  1 1 j {
+    /ii exch def
+    PSL_xp ii get xoff ii get add PSL_yp ii get yoff ii get add L
+  } for
+  j -1 0 {
+    /ii exch def
+    PSL_xp ii get xoff ii get sub PSL_yp ii get yoff ii get sub L
+  } for P
+} def
+/PSL_CT_drawline
+{
+  /str 20 string def
+  PSL_strokeline
+  {PSL_CT_placeline S} if
+  /PSL_seg PSL_seg 1 add def
+  /n 1 def
+} def
+/PSL_CT_placeline
+{PSL_xp 0 get PSL_yp 0 get M
+  1 1 j { /ii exch def PSL_xp ii get PSL_yp ii get L} for
+} def
+/PSL_draw_path_lines
+{
+  /PSL_n_paths1 PSL_n_paths 1 sub def
+  V
+  /psl_start 0 def
+  0 1 PSL_n_paths1
+  { /psl_k exch def
+    /PSL_n PSL_path_n psl_k get def
+    /PSL_n1 PSL_n 1 sub def
+    PSL_path_pen psl_k get cvx exec
+    N
+    PSL_path_x psl_start get PSL_path_y psl_start get M
+    1 1 PSL_n1
+    { /psl_i exch def
+      /psl_kk psl_i psl_start add def
+      PSL_path_x psl_kk get PSL_path_y psl_kk get L
+    } for
+    /psl_xclose PSL_path_x psl_kk get PSL_path_x psl_start get sub def
+    /psl_yclose PSL_path_y psl_kk get PSL_path_y psl_start get sub def
+    psl_xclose 0 eq psl_yclose 0 eq and { P } if
+    S
+    /psl_start psl_start PSL_n add def
+  } for
+  U
+} def
+/PSL_straight_path_labels
+{
+  /psl_bits exch def
+  /PSL_placetext psl_bits 2 and 2 eq def
+  /PSL_rounded psl_bits 32 and 32 eq def
+  /PSL_fillbox psl_bits 128 and 128 eq def
+  /PSL_drawbox psl_bits 256 and 256 eq def
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  /PSL_usebox PSL_fillbox PSL_drawbox or def
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    PSL_ST_prepare_text
+    PSL_usebox
+    {  PSL_rounded
+        {PSL_ST_textbox_round}
+        {PSL_ST_textbox_rect}
+      ifelse
+      PSL_fillbox {V PSL_setboxrgb fill U} if
+      PSL_drawbox {V PSL_setboxpen S U} if
+      N
+    } if
+    PSL_placetext {PSL_ST_place_label} if
+  } for
+} def
+/PSL_straight_path_clip
+{
+  /psl_bits exch def
+  /PSL_rounded psl_bits 32 and 32 eq def
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  N clipsave clippath
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    PSL_ST_prepare_text
+    PSL_rounded
+      {PSL_ST_textbox_round}
+      {PSL_ST_textbox_rect}
+    ifelse
+  } for
+  PSL_eoclip N
+} def
+/PSL_ST_prepare_text
+{
+  /psl_xp PSL_txt_x psl_k get def
+  /psl_yp PSL_txt_y psl_k get def
+  /psl_label PSL_label_str psl_k get def
+  PSL_label_font psl_k get cvx exec
+  /PSL_height PSL_heights psl_k get def
+  /psl_boxH PSL_height PSL_gap_y 2 mul add def
+  /PSL_just PSL_label_justify psl_k get def
+  /PSL_justx PSL_just 4 mod 1 sub 2 div neg def
+  /PSL_justy PSL_just 4 idiv 2 div neg def
+  /psl_SW psl_label stringwidth pop def
+  /psl_boxW psl_SW PSL_gap_x 2 mul add def
+  /psl_x0 psl_SW PSL_justx mul def
+  /psl_y0 PSL_justy PSL_height mul def
+  /psl_angle PSL_label_angle psl_k get def
+} def
+/PSL_ST_textbox_rect
+{
+  psl_xp psl_yp T psl_angle R psl_x0 psl_y0 T
+  PSL_gap_x neg PSL_gap_y neg M
+  0 psl_boxH D psl_boxW 0 D 0 psl_boxH neg D P
+  psl_x0 neg psl_y0 neg T psl_angle neg R psl_xp neg psl_yp neg T
+} def
+/PSL_ST_textbox_round
+{
+  /psl_BoxR PSL_gap_x PSL_gap_y lt {PSL_gap_x} {PSL_gap_y} ifelse def
+  /psl_xd PSL_gap_x psl_BoxR sub def
+  /psl_yd PSL_gap_y psl_BoxR sub def
+  /psl_xL PSL_gap_x neg def
+  /psl_yB PSL_gap_y neg def
+  /psl_yT psl_boxH psl_yB add def
+  /psl_H2 PSL_height psl_yd 2 mul add def
+  /psl_W2 psl_SW psl_xd 2 mul add def
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+/TM {2 copy T PSL_yorig add /PSL_yorig edef PSL_xorig add /PSL_xorig edef}!
+/PSL_reencode {findfont dup length dict begin
+  {1 index /FID ne {def}{pop pop} ifelse} forall
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+}!
+/PSL_eps_begin {
+  /PSL_eps_state save def
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+  userdict begin
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+  {pop languagelevel 1 ne {false setstrokeadjust false setoverprint} if} if
+}!
+/PSL_eps_end {
+  count PSL_op_count sub {pop} repeat
+  countdictstack PSL_dict_count sub {end} repeat
+  PSL_eps_state restore
+}!
+/PSL_transp {
+  /.setopacityalpha where {pop .setblendmode .setopacityalpha}{
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+}!
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+/space		/exclam		/quotedbl	/numbersign	/dollar		/percent	/ampersand	/quoteright
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+/dieresis	/quotesinglbase	/ring		/cedilla	/quotesingle	/hungarumlaut	/ogonek		/caron
+/space		/exclamdown	/cent		/sterling	/currency	/yen		/brokenbar	/section
+/dieresis	/copyright	/ordfeminine	/guillemotleft	/logicalnot	/hyphen		/registered	/macron
+/degree		/plusminus	/twosuperior	/threesuperior	/acute		/mu		/paragraph	/periodcentered
+/cedilla	/onesuperior	/ordmasculine	/guillemotright	/onequarter	/onehalf	/threequarters	/questiondown
+/Agrave		/Aacute		/Acircumflex	/Atilde		/Adieresis	/Aring		/AE		/Ccedilla
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+/Oslash		/Ugrave		/Uacute		/Ucircumflex	/Udieresis	/Yacute		/Thorn		/germandbls
+/agrave		/aacute		/acircumflex	/atilde		/adieresis	/aring		/ae		/ccedilla
+/egrave		/eacute		/ecircumflex	/edieresis	/igrave		/iacute		/icircumflex	/idieresis
+/eth		/ntilde		/ograve		/oacute		/ocircumflex	/otilde		/odieresis	/divide
+/oslash		/ugrave		/uacute		/ucircumflex	/udieresis	/yacute		/thorn		/ydieresis
+] def
+/PSL_font_encode 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 39 array astore def
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+/F7 {/Times-BoldItalic Y}!
+/F8 {/Courier Y}!
+/F9 {/Courier-Bold Y}!
+/F10 {/Courier-Oblique Y}!
+/F11 {/Courier-BoldOblique Y}!
+/F12 {/Symbol Y}!
+/F13 {/AvantGarde-Book Y}!
+/F14 {/AvantGarde-BookOblique Y}!
+/F15 {/AvantGarde-Demi Y}!
+/F16 {/AvantGarde-DemiOblique Y}!
+/F17 {/Bookman-Demi Y}!
+/F18 {/Bookman-DemiItalic Y}!
+/F19 {/Bookman-Light Y}!
+/F20 {/Bookman-LightItalic Y}!
+/F21 {/Helvetica-Narrow Y}!
+/F22 {/Helvetica-Narrow-Bold Y}!
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+/F24 {/Helvetica-Narrow-BoldOblique Y}!
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+/F27 {/NewCenturySchlbk-Bold Y}!
+/F28 {/NewCenturySchlbk-BoldItalic Y}!
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+/F30 {/Palatino-Italic Y}!
+/F31 {/Palatino-Bold Y}!
+/F32 {/Palatino-BoldItalic Y}!
+/F33 {/ZapfChancery-MediumItalic Y}!
+/F34 {/ZapfDingbats Y}!
+/F35 {/Ryumin-Light-EUC-H Y}!
+/F36 {/Ryumin-Light-EUC-V Y}!
+/F37 {/GothicBBB-Medium-EUC-H Y}!
+/F38 {/GothicBBB-Medium-EUC-V Y}!
+/PSL_pathtextdict 26 dict def
+/PSL_pathtext
+  {PSL_pathtextdict begin
+    /ydepth exch def
+    /textheight exch def
+    /just exch def
+    /offset exch def
+    /str exch def
+    /pathdist 0 def
+    /setdist offset def
+    /charcount 0 def
+    /justy just 4 idiv textheight mul 2 div neg ydepth sub def
+    V flattenpath
+	{movetoproc} {linetoproc}
+	{curvetoproc} {closepathproc}
+	pathforall
+    U N
+    end
+  } def
+PSL_pathtextdict begin
+/movetoproc
+  { /newy exch def /newx exch def
+    /firstx newx def /firsty newy def
+    /ovr 0 def
+    newx newy transform
+    /cpy exch def /cpx exch def
+  } def
+/linetoproc
+  { /oldx newx def /oldy newy def
+    /newy exch def /newx exch def
+    /dx newx oldx sub def
+    /dy newy oldy sub def
+    /dist dx dup mul dy dup mul add sqrt def
+    dist 0 ne
+    { /dsx dx dist div ovr mul def
+      /dsy dy dist div ovr mul def
+      oldx dsx add oldy dsy add transform
+      /cpy exch def /cpx exch def
+      /pathdist pathdist dist add def
+      {setdist pathdist le
+	  {charcount str length lt
+	      {setchar} {exit} ifelse}
+	  { /ovr setdist pathdist sub def
+	    exit}
+	  ifelse
+      } loop
+    } if
+  } def
+/curvetoproc
+  { (ERROR: No curveto's after flattenpath!)
+    print
+  } def
+/closepathproc
+  {firstx firsty linetoproc
+    firstx firsty movetoproc
+  } def
+/setchar
+  { /char str charcount 1 getinterval def
+    /charcount charcount 1 add def
+    /charwidth char stringwidth pop def
+    V cpx cpy itransform T
+      dy dx atan R
+      0 justy M
+      char show
+      0 justy neg G
+      currentpoint transform
+      /cpy exch def /cpx exch def
+    U /setdist setdist charwidth add def
+  } def
+end
+/PSL_set_label_heights
+{
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  /PSL_heights PSL_n_labels array def
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    /psl_label PSL_label_str psl_k get def
+    PSL_label_font psl_k get cvx exec
+    psl_label sH /PSL_height edef
+    PSL_heights psl_k PSL_height put
+  } for
+} def
+/PSL_curved_path_labels
+{ /psl_bits exch def
+  /PSL_placetext psl_bits 2 and 2 eq def
+  /PSL_clippath psl_bits 4 and 4 eq def
+  /PSL_strokeline false def
+  /PSL_fillbox psl_bits 128 and 128 eq def
+  /PSL_drawbox psl_bits 256 and 256 eq def
+  /PSL_n_paths1 PSL_n_paths 1 sub def
+  /PSL_usebox PSL_fillbox PSL_drawbox or def
+  PSL_clippath {clipsave N clippath} if
+  /psl_k 0 def
+  /psl_p 0 def
+  0 1 PSL_n_paths1
+  { /psl_kk exch def
+    /PSL_n PSL_path_n  psl_kk get def
+    /PSL_m PSL_label_n psl_kk get def
+    /PSL_x PSL_path_x psl_k PSL_n getinterval def
+    /PSL_y PSL_path_y psl_k PSL_n getinterval def
+    /PSL_node_tmp PSL_label_node psl_p PSL_m getinterval def
+    /PSL_angle_tmp PSL_label_angle psl_p PSL_m getinterval def
+    /PSL_str_tmp PSL_label_str psl_p PSL_m getinterval def
+    /PSL_fnt_tmp PSL_label_font psl_p PSL_m getinterval def
+    PSL_curved_path_label
+    /psl_k psl_k PSL_n add def
+    /psl_p psl_p PSL_m add def
+  } for
+  PSL_clippath {PSL_eoclip} if N
+} def
+/PSL_curved_path_label
+{
+  /PSL_n1 PSL_n 1 sub def
+  /PSL_m1 PSL_m 1 sub def
+  PSL_CT_calcstringwidth
+  PSL_CT_calclinedist
+  PSL_CT_excludelabels
+  PSL_CT_addcutpoints
+  /PSL_nn1 PSL_nn 1 sub def
+  /n 0 def
+  /k 0 def
+  /j 0 def
+  /PSL_seg 0 def
+  /PSL_xp PSL_nn array def
+  /PSL_yp PSL_nn array def
+  PSL_xp 0 PSL_xx 0 get put
+  PSL_yp 0 PSL_yy 0 get put
+  1 1 PSL_nn1
+  { /i exch def
+    /node_type PSL_kind i get def
+    /j j 1 add def
+    PSL_xp j PSL_xx i get put
+    PSL_yp j PSL_yy i get put
+    node_type 1 eq
+    {n 0 eq
+      {PSL_CT_drawline}
+      {	PSL_CT_reversepath
+	PSL_CT_textline} ifelse
+      /j 0 def
+      PSL_xp j PSL_xx i get put
+      PSL_yp j PSL_yy i get put
+    } if
+  } for
+  n 0 eq {PSL_CT_drawline} if
+} def
+/PSL_CT_textline
+{ PSL_fnt k get cvx exec
+  /PSL_height PSL_heights k get def
+  PSL_placetext	{PSL_CT_placelabel} if
+  PSL_clippath {PSL_CT_clippath} if
+  /n 0 def /k k 1 add def
+} def
+/PSL_CT_calcstringwidth
+{ /PSL_width_tmp PSL_m array def
+  0 1 PSL_m1
+  { /i exch def
+    PSL_fnt_tmp i get cvx exec
+    PSL_width_tmp i PSL_str_tmp i get stringwidth pop put
+  } for
+} def
+/PSL_CT_calclinedist
+{ /PSL_newx PSL_x 0 get def
+  /PSL_newy PSL_y 0 get def
+  /dist 0.0 def
+  /PSL_dist PSL_n array def
+  PSL_dist 0 0.0 put
+  1 1 PSL_n1
+  { /i exch def
+    /PSL_oldx PSL_newx def
+    /PSL_oldy PSL_newy def
+    /PSL_newx PSL_x i get def
+    /PSL_newy PSL_y i get def
+    /dx PSL_newx PSL_oldx sub def
+    /dy PSL_newy PSL_oldy sub def
+    /dist dist dx dx mul dy dy mul add sqrt add def
+    PSL_dist i dist put
+  } for
+} def
+/PSL_CT_excludelabels
+{ /k 0 def
+  /PSL_width PSL_m array def
+  /PSL_angle PSL_m array def
+  /PSL_node PSL_m array def
+  /PSL_str PSL_m array def
+  /PSL_fnt PSL_m array def
+  /lastdist PSL_dist PSL_n1 get def
+  0 1 PSL_m1
+  { /i exch def
+    /dist PSL_dist PSL_node_tmp i get get def
+    /halfwidth PSL_width_tmp i get 2 div PSL_gap_x add def
+    /L_dist dist halfwidth sub def
+    /R_dist dist halfwidth add def
+    L_dist 0 gt R_dist lastdist lt and
+    {
+      PSL_width k PSL_width_tmp i get put
+      PSL_node k PSL_node_tmp i get put
+      PSL_angle k PSL_angle_tmp i get put
+      PSL_str k PSL_str_tmp i get put
+      PSL_fnt k PSL_fnt_tmp i get put
+      /k k 1 add def
+    } if
+  } for
+  /PSL_m k def
+  /PSL_m1 PSL_m 1 sub def
+} def
+/PSL_CT_addcutpoints
+{ /k 0 def
+  /PSL_nc PSL_m 2 mul 1 add def
+  /PSL_cuts PSL_nc array def
+  /PSL_nc1 PSL_nc 1 sub def
+  0 1 PSL_m1
+  { /i exch def
+    /dist PSL_dist PSL_node i get get def
+    /halfwidth PSL_width i get 2 div PSL_gap_x add def
+    PSL_cuts k dist halfwidth sub put
+    /k k 1 add def
+    PSL_cuts k dist halfwidth add put
+    /k k 1 add def
+  } for
+  PSL_cuts k 100000.0 put
+  /PSL_nn PSL_n PSL_m 2 mul add def
+  /PSL_xx PSL_nn array def
+  /PSL_yy PSL_nn array def
+  /PSL_kind PSL_nn array def
+  /j 0 def
+  /k 0 def
+  /dist 0.0 def
+  0 1 PSL_n1
+  { /i exch def
+    /last_dist dist def
+    /dist PSL_dist i get def
+    k 1 PSL_nc1
+    { /kk exch def
+      /this_cut PSL_cuts kk get def
+      dist this_cut gt
+      { /ds dist last_dist sub def
+	/f ds 0.0 eq {0.0} {dist this_cut sub ds div} ifelse def
+	/i1 i 0 eq {0} {i 1 sub} ifelse def
+	PSL_xx j PSL_x i get dup PSL_x i1 get sub f mul sub put
+	PSL_yy j PSL_y i get dup PSL_y i1 get sub f mul sub put
+	PSL_kind j 1 put
+	/j j 1 add def
+	/k k 1 add def
+      } if
+    } for
+    dist PSL_cuts k get le
+    {PSL_xx j PSL_x i get put PSL_yy j PSL_y i get put
+      PSL_kind j 0 put
+      /j j 1 add def
+    } if
+  } for
+} def
+/PSL_CT_reversepath
+{PSL_xp j get PSL_xp 0 get lt
+  {0 1 j 2 idiv
+    { /left exch def
+      /right j left sub def
+      /tmp PSL_xp left get def
+      PSL_xp left PSL_xp right get put
+      PSL_xp right tmp put
+      /tmp PSL_yp left get def
+      PSL_yp left PSL_yp right get put
+      PSL_yp right tmp put
+    } for
+  } if
+} def
+/PSL_CT_placelabel
+{
+  /PSL_just PSL_label_justify k get def
+  /PSL_height PSL_heights k get def
+  /psl_label PSL_str k get def
+  /psl_depth psl_label sd def
+  PSL_usebox
+  {PSL_CT_clippath
+    PSL_fillbox
+    {V PSL_setboxrgb fill U} if
+    PSL_drawbox
+    {V PSL_setboxpen S U} if N
+  } if
+  PSL_CT_placeline psl_label PSL_gap_x PSL_just PSL_height psl_depth PSL_pathtext
+} def
+/PSL_CT_clippath
+{
+  /H PSL_height 2 div PSL_gap_y add def
+  /xoff j 1 add array def
+  /yoff j 1 add array def
+  /angle 0 def
+  0 1 j {
+    /ii exch def
+    /x PSL_xp ii get def
+    /y PSL_yp ii get def
+    ii 0 eq {
+      /x1 PSL_xp 1 get def
+      /y1 PSL_yp 1 get def
+      /dx x1 x sub def
+      /dy y1 y sub def
+    }
+    { /i1 ii 1 sub def
+      /x1 PSL_xp i1 get def
+      /y1 PSL_yp i1 get def
+      /dx x x1 sub def
+      /dy y y1 sub def
+    } ifelse
+    dx 0.0 eq dy 0.0 eq and not
+    { /angle dy dx atan 90 add def} if
+    /sina angle sin def
+    /cosa angle cos def
+    xoff ii H cosa mul put
+    yoff ii H sina mul put
+  } for
+  PSL_xp 0 get xoff 0 get add PSL_yp 0 get yoff 0 get add M
+  1 1 j {
+    /ii exch def
+    PSL_xp ii get xoff ii get add PSL_yp ii get yoff ii get add L
+  } for
+  j -1 0 {
+    /ii exch def
+    PSL_xp ii get xoff ii get sub PSL_yp ii get yoff ii get sub L
+  } for P
+} def
+/PSL_CT_drawline
+{
+  /str 20 string def
+  PSL_strokeline
+  {PSL_CT_placeline S} if
+  /PSL_seg PSL_seg 1 add def
+  /n 1 def
+} def
+/PSL_CT_placeline
+{PSL_xp 0 get PSL_yp 0 get M
+  1 1 j { /ii exch def PSL_xp ii get PSL_yp ii get L} for
+} def
+/PSL_draw_path_lines
+{
+  /PSL_n_paths1 PSL_n_paths 1 sub def
+  V
+  /psl_start 0 def
+  0 1 PSL_n_paths1
+  { /psl_k exch def
+    /PSL_n PSL_path_n psl_k get def
+    /PSL_n1 PSL_n 1 sub def
+    PSL_path_pen psl_k get cvx exec
+    N
+    PSL_path_x psl_start get PSL_path_y psl_start get M
+    1 1 PSL_n1
+    { /psl_i exch def
+      /psl_kk psl_i psl_start add def
+      PSL_path_x psl_kk get PSL_path_y psl_kk get L
+    } for
+    /psl_xclose PSL_path_x psl_kk get PSL_path_x psl_start get sub def
+    /psl_yclose PSL_path_y psl_kk get PSL_path_y psl_start get sub def
+    psl_xclose 0 eq psl_yclose 0 eq and { P } if
+    S
+    /psl_start psl_start PSL_n add def
+  } for
+  U
+} def
+/PSL_straight_path_labels
+{
+  /psl_bits exch def
+  /PSL_placetext psl_bits 2 and 2 eq def
+  /PSL_rounded psl_bits 32 and 32 eq def
+  /PSL_fillbox psl_bits 128 and 128 eq def
+  /PSL_drawbox psl_bits 256 and 256 eq def
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  /PSL_usebox PSL_fillbox PSL_drawbox or def
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    PSL_ST_prepare_text
+    PSL_usebox
+    {  PSL_rounded
+        {PSL_ST_textbox_round}
+        {PSL_ST_textbox_rect}
+      ifelse
+      PSL_fillbox {V PSL_setboxrgb fill U} if
+      PSL_drawbox {V PSL_setboxpen S U} if
+      N
+    } if
+    PSL_placetext {PSL_ST_place_label} if
+  } for
+} def
+/PSL_straight_path_clip
+{
+  /psl_bits exch def
+  /PSL_rounded psl_bits 32 and 32 eq def
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  N clipsave clippath
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    PSL_ST_prepare_text
+    PSL_rounded
+      {PSL_ST_textbox_round}
+      {PSL_ST_textbox_rect}
+    ifelse
+  } for
+  PSL_eoclip N
+} def
+/PSL_ST_prepare_text
+{
+  /psl_xp PSL_txt_x psl_k get def
+  /psl_yp PSL_txt_y psl_k get def
+  /psl_label PSL_label_str psl_k get def
+  PSL_label_font psl_k get cvx exec
+  /PSL_height PSL_heights psl_k get def
+  /psl_boxH PSL_height PSL_gap_y 2 mul add def
+  /PSL_just PSL_label_justify psl_k get def
+  /PSL_justx PSL_just 4 mod 1 sub 2 div neg def
+  /PSL_justy PSL_just 4 idiv 2 div neg def
+  /psl_SW psl_label stringwidth pop def
+  /psl_boxW psl_SW PSL_gap_x 2 mul add def
+  /psl_x0 psl_SW PSL_justx mul def
+  /psl_y0 PSL_justy PSL_height mul def
+  /psl_angle PSL_label_angle psl_k get def
+} def
+/PSL_ST_textbox_rect
+{
+  psl_xp psl_yp T psl_angle R psl_x0 psl_y0 T
+  PSL_gap_x neg PSL_gap_y neg M
+  0 psl_boxH D psl_boxW 0 D 0 psl_boxH neg D P
+  psl_x0 neg psl_y0 neg T psl_angle neg R psl_xp neg psl_yp neg T
+} def
+/PSL_ST_textbox_round
+{
+  /psl_BoxR PSL_gap_x PSL_gap_y lt {PSL_gap_x} {PSL_gap_y} ifelse def
+  /psl_xd PSL_gap_x psl_BoxR sub def
+  /psl_yd PSL_gap_y psl_BoxR sub def
+  /psl_xL PSL_gap_x neg def
+  /psl_yB PSL_gap_y neg def
+  /psl_yT psl_boxH psl_yB add def
+  /psl_H2 PSL_height psl_yd 2 mul add def
+  /psl_W2 psl_SW psl_xd 2 mul add def
+  /psl_xR psl_xL psl_boxW add def
+  /psl_x0 psl_SW PSL_justx mul def
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+  psl_x0 neg psl_y0 neg T psl_angle neg R psl_xp neg psl_yp neg T
+} def
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+    psl_label dup sd neg 0 exch G show
+    U
+} def
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diff --git a/data/trace_adam.txt b/data/trace_adam.txt
new file mode 100644
index 0000000..f4bd073
--- /dev/null
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new file mode 100644
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+  {PSL_CT_placeline S} if
+  /PSL_seg PSL_seg 1 add def
+  /n 1 def
+} def
+/PSL_CT_placeline
+{PSL_xp 0 get PSL_yp 0 get M
+  1 1 j { /ii exch def PSL_xp ii get PSL_yp ii get L} for
+} def
+/PSL_draw_path_lines
+{
+  /PSL_n_paths1 PSL_n_paths 1 sub def
+  V
+  /psl_start 0 def
+  0 1 PSL_n_paths1
+  { /psl_k exch def
+    /PSL_n PSL_path_n psl_k get def
+    /PSL_n1 PSL_n 1 sub def
+    PSL_path_pen psl_k get cvx exec
+    N
+    PSL_path_x psl_start get PSL_path_y psl_start get M
+    1 1 PSL_n1
+    { /psl_i exch def
+      /psl_kk psl_i psl_start add def
+      PSL_path_x psl_kk get PSL_path_y psl_kk get L
+    } for
+    /psl_xclose PSL_path_x psl_kk get PSL_path_x psl_start get sub def
+    /psl_yclose PSL_path_y psl_kk get PSL_path_y psl_start get sub def
+    psl_xclose 0 eq psl_yclose 0 eq and { P } if
+    S
+    /psl_start psl_start PSL_n add def
+  } for
+  U
+} def
+/PSL_straight_path_labels
+{
+  /psl_bits exch def
+  /PSL_placetext psl_bits 2 and 2 eq def
+  /PSL_rounded psl_bits 32 and 32 eq def
+  /PSL_fillbox psl_bits 128 and 128 eq def
+  /PSL_drawbox psl_bits 256 and 256 eq def
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  /PSL_usebox PSL_fillbox PSL_drawbox or def
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    PSL_ST_prepare_text
+    PSL_usebox
+    {  PSL_rounded
+        {PSL_ST_textbox_round}
+        {PSL_ST_textbox_rect}
+      ifelse
+      PSL_fillbox {V PSL_setboxrgb fill U} if
+      PSL_drawbox {V PSL_setboxpen S U} if
+      N
+    } if
+    PSL_placetext {PSL_ST_place_label} if
+  } for
+} def
+/PSL_straight_path_clip
+{
+  /psl_bits exch def
+  /PSL_rounded psl_bits 32 and 32 eq def
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  N clipsave clippath
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    PSL_ST_prepare_text
+    PSL_rounded
+      {PSL_ST_textbox_round}
+      {PSL_ST_textbox_rect}
+    ifelse
+  } for
+  PSL_eoclip N
+} def
+/PSL_ST_prepare_text
+{
+  /psl_xp PSL_txt_x psl_k get def
+  /psl_yp PSL_txt_y psl_k get def
+  /psl_label PSL_label_str psl_k get def
+  PSL_label_font psl_k get cvx exec
+  /PSL_height PSL_heights psl_k get def
+  /psl_boxH PSL_height PSL_gap_y 2 mul add def
+  /PSL_just PSL_label_justify psl_k get def
+  /PSL_justx PSL_just 4 mod 1 sub 2 div neg def
+  /PSL_justy PSL_just 4 idiv 2 div neg def
+  /psl_SW psl_label stringwidth pop def
+  /psl_boxW psl_SW PSL_gap_x 2 mul add def
+  /psl_x0 psl_SW PSL_justx mul def
+  /psl_y0 PSL_justy PSL_height mul def
+  /psl_angle PSL_label_angle psl_k get def
+} def
+/PSL_ST_textbox_rect
+{
+  psl_xp psl_yp T psl_angle R psl_x0 psl_y0 T
+  PSL_gap_x neg PSL_gap_y neg M
+  0 psl_boxH D psl_boxW 0 D 0 psl_boxH neg D P
+  psl_x0 neg psl_y0 neg T psl_angle neg R psl_xp neg psl_yp neg T
+} def
+/PSL_ST_textbox_round
+{
+  /psl_BoxR PSL_gap_x PSL_gap_y lt {PSL_gap_x} {PSL_gap_y} ifelse def
+  /psl_xd PSL_gap_x psl_BoxR sub def
+  /psl_yd PSL_gap_y psl_BoxR sub def
+  /psl_xL PSL_gap_x neg def
+  /psl_yB PSL_gap_y neg def
+  /psl_yT psl_boxH psl_yB add def
+  /psl_H2 PSL_height psl_yd 2 mul add def
+  /psl_W2 psl_SW psl_xd 2 mul add def
+  /psl_xR psl_xL psl_boxW add def
+  /psl_x0 psl_SW PSL_justx mul def
+  psl_xp psl_yp T psl_angle R psl_x0 psl_y0 T
+  psl_xL psl_yd M
+  psl_xL psl_yT psl_xR psl_yT psl_BoxR arct psl_W2 0 D
+  psl_xR psl_yT psl_xR psl_yB psl_BoxR arct 0 psl_H2 neg D
+  psl_xR psl_yB psl_xL psl_yB psl_BoxR arct psl_W2 neg 0 D
+  psl_xL psl_yB psl_xL psl_yd psl_BoxR arct P
+  psl_x0 neg psl_y0 neg T psl_angle neg R psl_xp neg psl_yp neg T
+} def
+/PSL_ST_place_label
+{
+    V psl_xp psl_yp T psl_angle R
+    psl_SW PSL_justx mul psl_y0 M
+    psl_label dup sd neg 0 exch G show
+    U
+} def
+/PSL_nclip 0 def
+/PSL_clip {clip /PSL_nclip PSL_nclip 1 add def} def
+/PSL_eoclip {eoclip /PSL_nclip PSL_nclip 1 add def} def
+/PSL_cliprestore {cliprestore /PSL_nclip PSL_nclip 1 sub def} def
+%%EndProlog
+%%BeginSetup
+/PSLevel /languagelevel where {pop languagelevel} {1} ifelse def
+<< /PageSize [148.518 153.54] >> setpagedevice
+-3.096 -10.728 translate
+%%EndSetup
+%%Page: 1 1
+%%BeginPageSetup
+V 0.06 0.06 scale
+%%EndPageSetup
+/PSL_page_xsize 9917 def
+/PSL_page_ysize 14033 def
+/PSL_plot_completion {} def
+/PSL_movie_completion {} def
+%PSL_End_Header
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+    /PSL_y PSL_path_y psl_k PSL_n getinterval def
+    /PSL_node_tmp PSL_label_node psl_p PSL_m getinterval def
+    /PSL_angle_tmp PSL_label_angle psl_p PSL_m getinterval def
+    /PSL_str_tmp PSL_label_str psl_p PSL_m getinterval def
+    /PSL_fnt_tmp PSL_label_font psl_p PSL_m getinterval def
+    PSL_curved_path_label
+    /psl_k psl_k PSL_n add def
+    /psl_p psl_p PSL_m add def
+  } for
+  PSL_clippath {PSL_eoclip} if N
+} def
+/PSL_curved_path_label
+{
+  /PSL_n1 PSL_n 1 sub def
+  /PSL_m1 PSL_m 1 sub def
+  PSL_CT_calcstringwidth
+  PSL_CT_calclinedist
+  PSL_CT_excludelabels
+  PSL_CT_addcutpoints
+  /PSL_nn1 PSL_nn 1 sub def
+  /n 0 def
+  /k 0 def
+  /j 0 def
+  /PSL_seg 0 def
+  /PSL_xp PSL_nn array def
+  /PSL_yp PSL_nn array def
+  PSL_xp 0 PSL_xx 0 get put
+  PSL_yp 0 PSL_yy 0 get put
+  1 1 PSL_nn1
+  { /i exch def
+    /node_type PSL_kind i get def
+    /j j 1 add def
+    PSL_xp j PSL_xx i get put
+    PSL_yp j PSL_yy i get put
+    node_type 1 eq
+    {n 0 eq
+      {PSL_CT_drawline}
+      {	PSL_CT_reversepath
+	PSL_CT_textline} ifelse
+      /j 0 def
+      PSL_xp j PSL_xx i get put
+      PSL_yp j PSL_yy i get put
+    } if
+  } for
+  n 0 eq {PSL_CT_drawline} if
+} def
+/PSL_CT_textline
+{ PSL_fnt k get cvx exec
+  /PSL_height PSL_heights k get def
+  PSL_placetext	{PSL_CT_placelabel} if
+  PSL_clippath {PSL_CT_clippath} if
+  /n 0 def /k k 1 add def
+} def
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+{ /PSL_width_tmp PSL_m array def
+  0 1 PSL_m1
+  { /i exch def
+    PSL_fnt_tmp i get cvx exec
+    PSL_width_tmp i PSL_str_tmp i get stringwidth pop put
+  } for
+} def
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+{ /PSL_newx PSL_x 0 get def
+  /PSL_newy PSL_y 0 get def
+  /dist 0.0 def
+  /PSL_dist PSL_n array def
+  PSL_dist 0 0.0 put
+  1 1 PSL_n1
+  { /i exch def
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+    /PSL_oldy PSL_newy def
+    /PSL_newx PSL_x i get def
+    /PSL_newy PSL_y i get def
+    /dx PSL_newx PSL_oldx sub def
+    /dy PSL_newy PSL_oldy sub def
+    /dist dist dx dx mul dy dy mul add sqrt add def
+    PSL_dist i dist put
+  } for
+} def
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+{ /k 0 def
+  /PSL_width PSL_m array def
+  /PSL_angle PSL_m array def
+  /PSL_node PSL_m array def
+  /PSL_str PSL_m array def
+  /PSL_fnt PSL_m array def
+  /lastdist PSL_dist PSL_n1 get def
+  0 1 PSL_m1
+  { /i exch def
+    /dist PSL_dist PSL_node_tmp i get get def
+    /halfwidth PSL_width_tmp i get 2 div PSL_gap_x add def
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+    /R_dist dist halfwidth add def
+    L_dist 0 gt R_dist lastdist lt and
+    {
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+      PSL_node k PSL_node_tmp i get put
+      PSL_angle k PSL_angle_tmp i get put
+      PSL_str k PSL_str_tmp i get put
+      PSL_fnt k PSL_fnt_tmp i get put
+      /k k 1 add def
+    } if
+  } for
+  /PSL_m k def
+  /PSL_m1 PSL_m 1 sub def
+} def
+/PSL_CT_addcutpoints
+{ /k 0 def
+  /PSL_nc PSL_m 2 mul 1 add def
+  /PSL_cuts PSL_nc array def
+  /PSL_nc1 PSL_nc 1 sub def
+  0 1 PSL_m1
+  { /i exch def
+    /dist PSL_dist PSL_node i get get def
+    /halfwidth PSL_width i get 2 div PSL_gap_x add def
+    PSL_cuts k dist halfwidth sub put
+    /k k 1 add def
+    PSL_cuts k dist halfwidth add put
+    /k k 1 add def
+  } for
+  PSL_cuts k 100000.0 put
+  /PSL_nn PSL_n PSL_m 2 mul add def
+  /PSL_xx PSL_nn array def
+  /PSL_yy PSL_nn array def
+  /PSL_kind PSL_nn array def
+  /j 0 def
+  /k 0 def
+  /dist 0.0 def
+  0 1 PSL_n1
+  { /i exch def
+    /last_dist dist def
+    /dist PSL_dist i get def
+    k 1 PSL_nc1
+    { /kk exch def
+      /this_cut PSL_cuts kk get def
+      dist this_cut gt
+      { /ds dist last_dist sub def
+	/f ds 0.0 eq {0.0} {dist this_cut sub ds div} ifelse def
+	/i1 i 0 eq {0} {i 1 sub} ifelse def
+	PSL_xx j PSL_x i get dup PSL_x i1 get sub f mul sub put
+	PSL_yy j PSL_y i get dup PSL_y i1 get sub f mul sub put
+	PSL_kind j 1 put
+	/j j 1 add def
+	/k k 1 add def
+      } if
+    } for
+    dist PSL_cuts k get le
+    {PSL_xx j PSL_x i get put PSL_yy j PSL_y i get put
+      PSL_kind j 0 put
+      /j j 1 add def
+    } if
+  } for
+} def
+/PSL_CT_reversepath
+{PSL_xp j get PSL_xp 0 get lt
+  {0 1 j 2 idiv
+    { /left exch def
+      /right j left sub def
+      /tmp PSL_xp left get def
+      PSL_xp left PSL_xp right get put
+      PSL_xp right tmp put
+      /tmp PSL_yp left get def
+      PSL_yp left PSL_yp right get put
+      PSL_yp right tmp put
+    } for
+  } if
+} def
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+{
+  /PSL_just PSL_label_justify k get def
+  /PSL_height PSL_heights k get def
+  /psl_label PSL_str k get def
+  /psl_depth psl_label sd def
+  PSL_usebox
+  {PSL_CT_clippath
+    PSL_fillbox
+    {V PSL_setboxrgb fill U} if
+    PSL_drawbox
+    {V PSL_setboxpen S U} if N
+  } if
+  PSL_CT_placeline psl_label PSL_gap_x PSL_just PSL_height psl_depth PSL_pathtext
+} def
+/PSL_CT_clippath
+{
+  /H PSL_height 2 div PSL_gap_y add def
+  /xoff j 1 add array def
+  /yoff j 1 add array def
+  /angle 0 def
+  0 1 j {
+    /ii exch def
+    /x PSL_xp ii get def
+    /y PSL_yp ii get def
+    ii 0 eq {
+      /x1 PSL_xp 1 get def
+      /y1 PSL_yp 1 get def
+      /dx x1 x sub def
+      /dy y1 y sub def
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+    { /i1 ii 1 sub def
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+    { /angle dy dx atan 90 add def} if
+    /sina angle sin def
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+    yoff ii H sina mul put
+  } for
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+  1 1 j {
+    /ii exch def
+    PSL_xp ii get xoff ii get add PSL_yp ii get yoff ii get add L
+  } for
+  j -1 0 {
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+    PSL_xp ii get xoff ii get sub PSL_yp ii get yoff ii get sub L
+  } for P
+} def
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+{
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+  PSL_strokeline
+  {PSL_CT_placeline S} if
+  /PSL_seg PSL_seg 1 add def
+  /n 1 def
+} def
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+{PSL_xp 0 get PSL_yp 0 get M
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+} def
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+{
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+  V
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+  0 1 PSL_n_paths1
+  { /psl_k exch def
+    /PSL_n PSL_path_n psl_k get def
+    /PSL_n1 PSL_n 1 sub def
+    PSL_path_pen psl_k get cvx exec
+    N
+    PSL_path_x psl_start get PSL_path_y psl_start get M
+    1 1 PSL_n1
+    { /psl_i exch def
+      /psl_kk psl_i psl_start add def
+      PSL_path_x psl_kk get PSL_path_y psl_kk get L
+    } for
+    /psl_xclose PSL_path_x psl_kk get PSL_path_x psl_start get sub def
+    /psl_yclose PSL_path_y psl_kk get PSL_path_y psl_start get sub def
+    psl_xclose 0 eq psl_yclose 0 eq and { P } if
+    S
+    /psl_start psl_start PSL_n add def
+  } for
+  U
+} def
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+{
+  /psl_bits exch def
+  /PSL_placetext psl_bits 2 and 2 eq def
+  /PSL_rounded psl_bits 32 and 32 eq def
+  /PSL_fillbox psl_bits 128 and 128 eq def
+  /PSL_drawbox psl_bits 256 and 256 eq def
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  /PSL_usebox PSL_fillbox PSL_drawbox or def
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    PSL_ST_prepare_text
+    PSL_usebox
+    {  PSL_rounded
+        {PSL_ST_textbox_round}
+        {PSL_ST_textbox_rect}
+      ifelse
+      PSL_fillbox {V PSL_setboxrgb fill U} if
+      PSL_drawbox {V PSL_setboxpen S U} if
+      N
+    } if
+    PSL_placetext {PSL_ST_place_label} if
+  } for
+} def
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+{
+  /psl_bits exch def
+  /PSL_rounded psl_bits 32 and 32 eq def
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  N clipsave clippath
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    PSL_ST_prepare_text
+    PSL_rounded
+      {PSL_ST_textbox_round}
+      {PSL_ST_textbox_rect}
+    ifelse
+  } for
+  PSL_eoclip N
+} def
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+{
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+  /psl_yp PSL_txt_y psl_k get def
+  /psl_label PSL_label_str psl_k get def
+  PSL_label_font psl_k get cvx exec
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+} def
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+} def
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+} def
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+{
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+    psl_SW PSL_justx mul psl_y0 M
+    psl_label dup sd neg 0 exch G show
+    U
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+/X		/Y		/Z		/bracketleft	/backslash	/bracketright	/asciicircum	/underscore
+/quoteleft	/a		/b		/c 		/d		/e		/f		/g
+/h		/i		/j		/k		/l		/m		/n		/o
+/p		/q		/r		/s		/t		/u		/v		/w
+/x		/y		/z		/braceleft	/bar		/braceright	/asciitilde	/scaron
+/OE		/dagger		/daggerdbl	/Lslash		/fraction	/guilsinglleft	/Scaron		/guilsinglright
+/oe		/Ydieresis	/Zcaron		/lslash		/perthousand	/quotedblbase	/quotedblleft	/quotedblright
+/dotlessi	/grave		/acute		/circumflex	/tilde		/macron		/breve		/dotaccent
+/dieresis	/quotesinglbase	/ring		/cedilla	/quotesingle	/hungarumlaut	/ogonek		/caron
+/space		/exclamdown	/cent		/sterling	/currency	/yen		/brokenbar	/section
+/dieresis	/copyright	/ordfeminine	/guillemotleft	/logicalnot	/hyphen		/registered	/macron
+/degree		/plusminus	/twosuperior	/threesuperior	/acute		/mu		/paragraph	/periodcentered
+/cedilla	/onesuperior	/ordmasculine	/guillemotright	/onequarter	/onehalf	/threequarters	/questiondown
+/Agrave		/Aacute		/Acircumflex	/Atilde		/Adieresis	/Aring		/AE		/Ccedilla
+/Egrave		/Eacute		/Ecircumflex	/Edieresis	/Igrave		/Iacute		/Icircumflex	/Idieresis
+/Eth		/Ntilde		/Ograve		/Oacute		/Ocircumflex	/Otilde		/Odieresis	/multiply
+/Oslash		/Ugrave		/Uacute		/Ucircumflex	/Udieresis	/Yacute		/Thorn		/germandbls
+/agrave		/aacute		/acircumflex	/atilde		/adieresis	/aring		/ae		/ccedilla
+/egrave		/eacute		/ecircumflex	/edieresis	/igrave		/iacute		/icircumflex	/idieresis
+/eth		/ntilde		/ograve		/oacute		/ocircumflex	/otilde		/odieresis	/divide
+/oslash		/ugrave		/uacute		/ucircumflex	/udieresis	/yacute		/thorn		/ydieresis
+] def
+/PSL_font_encode 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 39 array astore def
+/F0 {/Helvetica Y}!
+/F1 {/Helvetica-Bold Y}!
+/F2 {/Helvetica-Oblique Y}!
+/F3 {/Helvetica-BoldOblique Y}!
+/F4 {/Times-Roman Y}!
+/F5 {/Times-Bold Y}!
+/F6 {/Times-Italic Y}!
+/F7 {/Times-BoldItalic Y}!
+/F8 {/Courier Y}!
+/F9 {/Courier-Bold Y}!
+/F10 {/Courier-Oblique Y}!
+/F11 {/Courier-BoldOblique Y}!
+/F12 {/Symbol Y}!
+/F13 {/AvantGarde-Book Y}!
+/F14 {/AvantGarde-BookOblique Y}!
+/F15 {/AvantGarde-Demi Y}!
+/F16 {/AvantGarde-DemiOblique Y}!
+/F17 {/Bookman-Demi Y}!
+/F18 {/Bookman-DemiItalic Y}!
+/F19 {/Bookman-Light Y}!
+/F20 {/Bookman-LightItalic Y}!
+/F21 {/Helvetica-Narrow Y}!
+/F22 {/Helvetica-Narrow-Bold Y}!
+/F23 {/Helvetica-Narrow-Oblique Y}!
+/F24 {/Helvetica-Narrow-BoldOblique Y}!
+/F25 {/NewCenturySchlbk-Roman Y}!
+/F26 {/NewCenturySchlbk-Italic Y}!
+/F27 {/NewCenturySchlbk-Bold Y}!
+/F28 {/NewCenturySchlbk-BoldItalic Y}!
+/F29 {/Palatino-Roman Y}!
+/F30 {/Palatino-Italic Y}!
+/F31 {/Palatino-Bold Y}!
+/F32 {/Palatino-BoldItalic Y}!
+/F33 {/ZapfChancery-MediumItalic Y}!
+/F34 {/ZapfDingbats Y}!
+/F35 {/Ryumin-Light-EUC-H Y}!
+/F36 {/Ryumin-Light-EUC-V Y}!
+/F37 {/GothicBBB-Medium-EUC-H Y}!
+/F38 {/GothicBBB-Medium-EUC-V Y}!
+/PSL_pathtextdict 26 dict def
+/PSL_pathtext
+  {PSL_pathtextdict begin
+    /ydepth exch def
+    /textheight exch def
+    /just exch def
+    /offset exch def
+    /str exch def
+    /pathdist 0 def
+    /setdist offset def
+    /charcount 0 def
+    /justy just 4 idiv textheight mul 2 div neg ydepth sub def
+    V flattenpath
+	{movetoproc} {linetoproc}
+	{curvetoproc} {closepathproc}
+	pathforall
+    U N
+    end
+  } def
+PSL_pathtextdict begin
+/movetoproc
+  { /newy exch def /newx exch def
+    /firstx newx def /firsty newy def
+    /ovr 0 def
+    newx newy transform
+    /cpy exch def /cpx exch def
+  } def
+/linetoproc
+  { /oldx newx def /oldy newy def
+    /newy exch def /newx exch def
+    /dx newx oldx sub def
+    /dy newy oldy sub def
+    /dist dx dup mul dy dup mul add sqrt def
+    dist 0 ne
+    { /dsx dx dist div ovr mul def
+      /dsy dy dist div ovr mul def
+      oldx dsx add oldy dsy add transform
+      /cpy exch def /cpx exch def
+      /pathdist pathdist dist add def
+      {setdist pathdist le
+	  {charcount str length lt
+	      {setchar} {exit} ifelse}
+	  { /ovr setdist pathdist sub def
+	    exit}
+	  ifelse
+      } loop
+    } if
+  } def
+/curvetoproc
+  { (ERROR: No curveto's after flattenpath!)
+    print
+  } def
+/closepathproc
+  {firstx firsty linetoproc
+    firstx firsty movetoproc
+  } def
+/setchar
+  { /char str charcount 1 getinterval def
+    /charcount charcount 1 add def
+    /charwidth char stringwidth pop def
+    V cpx cpy itransform T
+      dy dx atan R
+      0 justy M
+      char show
+      0 justy neg G
+      currentpoint transform
+      /cpy exch def /cpx exch def
+    U /setdist setdist charwidth add def
+  } def
+end
+/PSL_set_label_heights
+{
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  /PSL_heights PSL_n_labels array def
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    /psl_label PSL_label_str psl_k get def
+    PSL_label_font psl_k get cvx exec
+    psl_label sH /PSL_height edef
+    PSL_heights psl_k PSL_height put
+  } for
+} def
+/PSL_curved_path_labels
+{ /psl_bits exch def
+  /PSL_placetext psl_bits 2 and 2 eq def
+  /PSL_clippath psl_bits 4 and 4 eq def
+  /PSL_strokeline false def
+  /PSL_fillbox psl_bits 128 and 128 eq def
+  /PSL_drawbox psl_bits 256 and 256 eq def
+  /PSL_n_paths1 PSL_n_paths 1 sub def
+  /PSL_usebox PSL_fillbox PSL_drawbox or def
+  PSL_clippath {clipsave N clippath} if
+  /psl_k 0 def
+  /psl_p 0 def
+  0 1 PSL_n_paths1
+  { /psl_kk exch def
+    /PSL_n PSL_path_n  psl_kk get def
+    /PSL_m PSL_label_n psl_kk get def
+    /PSL_x PSL_path_x psl_k PSL_n getinterval def
+    /PSL_y PSL_path_y psl_k PSL_n getinterval def
+    /PSL_node_tmp PSL_label_node psl_p PSL_m getinterval def
+    /PSL_angle_tmp PSL_label_angle psl_p PSL_m getinterval def
+    /PSL_str_tmp PSL_label_str psl_p PSL_m getinterval def
+    /PSL_fnt_tmp PSL_label_font psl_p PSL_m getinterval def
+    PSL_curved_path_label
+    /psl_k psl_k PSL_n add def
+    /psl_p psl_p PSL_m add def
+  } for
+  PSL_clippath {PSL_eoclip} if N
+} def
+/PSL_curved_path_label
+{
+  /PSL_n1 PSL_n 1 sub def
+  /PSL_m1 PSL_m 1 sub def
+  PSL_CT_calcstringwidth
+  PSL_CT_calclinedist
+  PSL_CT_excludelabels
+  PSL_CT_addcutpoints
+  /PSL_nn1 PSL_nn 1 sub def
+  /n 0 def
+  /k 0 def
+  /j 0 def
+  /PSL_seg 0 def
+  /PSL_xp PSL_nn array def
+  /PSL_yp PSL_nn array def
+  PSL_xp 0 PSL_xx 0 get put
+  PSL_yp 0 PSL_yy 0 get put
+  1 1 PSL_nn1
+  { /i exch def
+    /node_type PSL_kind i get def
+    /j j 1 add def
+    PSL_xp j PSL_xx i get put
+    PSL_yp j PSL_yy i get put
+    node_type 1 eq
+    {n 0 eq
+      {PSL_CT_drawline}
+      {	PSL_CT_reversepath
+	PSL_CT_textline} ifelse
+      /j 0 def
+      PSL_xp j PSL_xx i get put
+      PSL_yp j PSL_yy i get put
+    } if
+  } for
+  n 0 eq {PSL_CT_drawline} if
+} def
+/PSL_CT_textline
+{ PSL_fnt k get cvx exec
+  /PSL_height PSL_heights k get def
+  PSL_placetext	{PSL_CT_placelabel} if
+  PSL_clippath {PSL_CT_clippath} if
+  /n 0 def /k k 1 add def
+} def
+/PSL_CT_calcstringwidth
+{ /PSL_width_tmp PSL_m array def
+  0 1 PSL_m1
+  { /i exch def
+    PSL_fnt_tmp i get cvx exec
+    PSL_width_tmp i PSL_str_tmp i get stringwidth pop put
+  } for
+} def
+/PSL_CT_calclinedist
+{ /PSL_newx PSL_x 0 get def
+  /PSL_newy PSL_y 0 get def
+  /dist 0.0 def
+  /PSL_dist PSL_n array def
+  PSL_dist 0 0.0 put
+  1 1 PSL_n1
+  { /i exch def
+    /PSL_oldx PSL_newx def
+    /PSL_oldy PSL_newy def
+    /PSL_newx PSL_x i get def
+    /PSL_newy PSL_y i get def
+    /dx PSL_newx PSL_oldx sub def
+    /dy PSL_newy PSL_oldy sub def
+    /dist dist dx dx mul dy dy mul add sqrt add def
+    PSL_dist i dist put
+  } for
+} def
+/PSL_CT_excludelabels
+{ /k 0 def
+  /PSL_width PSL_m array def
+  /PSL_angle PSL_m array def
+  /PSL_node PSL_m array def
+  /PSL_str PSL_m array def
+  /PSL_fnt PSL_m array def
+  /lastdist PSL_dist PSL_n1 get def
+  0 1 PSL_m1
+  { /i exch def
+    /dist PSL_dist PSL_node_tmp i get get def
+    /halfwidth PSL_width_tmp i get 2 div PSL_gap_x add def
+    /L_dist dist halfwidth sub def
+    /R_dist dist halfwidth add def
+    L_dist 0 gt R_dist lastdist lt and
+    {
+      PSL_width k PSL_width_tmp i get put
+      PSL_node k PSL_node_tmp i get put
+      PSL_angle k PSL_angle_tmp i get put
+      PSL_str k PSL_str_tmp i get put
+      PSL_fnt k PSL_fnt_tmp i get put
+      /k k 1 add def
+    } if
+  } for
+  /PSL_m k def
+  /PSL_m1 PSL_m 1 sub def
+} def
+/PSL_CT_addcutpoints
+{ /k 0 def
+  /PSL_nc PSL_m 2 mul 1 add def
+  /PSL_cuts PSL_nc array def
+  /PSL_nc1 PSL_nc 1 sub def
+  0 1 PSL_m1
+  { /i exch def
+    /dist PSL_dist PSL_node i get get def
+    /halfwidth PSL_width i get 2 div PSL_gap_x add def
+    PSL_cuts k dist halfwidth sub put
+    /k k 1 add def
+    PSL_cuts k dist halfwidth add put
+    /k k 1 add def
+  } for
+  PSL_cuts k 100000.0 put
+  /PSL_nn PSL_n PSL_m 2 mul add def
+  /PSL_xx PSL_nn array def
+  /PSL_yy PSL_nn array def
+  /PSL_kind PSL_nn array def
+  /j 0 def
+  /k 0 def
+  /dist 0.0 def
+  0 1 PSL_n1
+  { /i exch def
+    /last_dist dist def
+    /dist PSL_dist i get def
+    k 1 PSL_nc1
+    { /kk exch def
+      /this_cut PSL_cuts kk get def
+      dist this_cut gt
+      { /ds dist last_dist sub def
+	/f ds 0.0 eq {0.0} {dist this_cut sub ds div} ifelse def
+	/i1 i 0 eq {0} {i 1 sub} ifelse def
+	PSL_xx j PSL_x i get dup PSL_x i1 get sub f mul sub put
+	PSL_yy j PSL_y i get dup PSL_y i1 get sub f mul sub put
+	PSL_kind j 1 put
+	/j j 1 add def
+	/k k 1 add def
+      } if
+    } for
+    dist PSL_cuts k get le
+    {PSL_xx j PSL_x i get put PSL_yy j PSL_y i get put
+      PSL_kind j 0 put
+      /j j 1 add def
+    } if
+  } for
+} def
+/PSL_CT_reversepath
+{PSL_xp j get PSL_xp 0 get lt
+  {0 1 j 2 idiv
+    { /left exch def
+      /right j left sub def
+      /tmp PSL_xp left get def
+      PSL_xp left PSL_xp right get put
+      PSL_xp right tmp put
+      /tmp PSL_yp left get def
+      PSL_yp left PSL_yp right get put
+      PSL_yp right tmp put
+    } for
+  } if
+} def
+/PSL_CT_placelabel
+{
+  /PSL_just PSL_label_justify k get def
+  /PSL_height PSL_heights k get def
+  /psl_label PSL_str k get def
+  /psl_depth psl_label sd def
+  PSL_usebox
+  {PSL_CT_clippath
+    PSL_fillbox
+    {V PSL_setboxrgb fill U} if
+    PSL_drawbox
+    {V PSL_setboxpen S U} if N
+  } if
+  PSL_CT_placeline psl_label PSL_gap_x PSL_just PSL_height psl_depth PSL_pathtext
+} def
+/PSL_CT_clippath
+{
+  /H PSL_height 2 div PSL_gap_y add def
+  /xoff j 1 add array def
+  /yoff j 1 add array def
+  /angle 0 def
+  0 1 j {
+    /ii exch def
+    /x PSL_xp ii get def
+    /y PSL_yp ii get def
+    ii 0 eq {
+      /x1 PSL_xp 1 get def
+      /y1 PSL_yp 1 get def
+      /dx x1 x sub def
+      /dy y1 y sub def
+    }
+    { /i1 ii 1 sub def
+      /x1 PSL_xp i1 get def
+      /y1 PSL_yp i1 get def
+      /dx x x1 sub def
+      /dy y y1 sub def
+    } ifelse
+    dx 0.0 eq dy 0.0 eq and not
+    { /angle dy dx atan 90 add def} if
+    /sina angle sin def
+    /cosa angle cos def
+    xoff ii H cosa mul put
+    yoff ii H sina mul put
+  } for
+  PSL_xp 0 get xoff 0 get add PSL_yp 0 get yoff 0 get add M
+  1 1 j {
+    /ii exch def
+    PSL_xp ii get xoff ii get add PSL_yp ii get yoff ii get add L
+  } for
+  j -1 0 {
+    /ii exch def
+    PSL_xp ii get xoff ii get sub PSL_yp ii get yoff ii get sub L
+  } for P
+} def
+/PSL_CT_drawline
+{
+  /str 20 string def
+  PSL_strokeline
+  {PSL_CT_placeline S} if
+  /PSL_seg PSL_seg 1 add def
+  /n 1 def
+} def
+/PSL_CT_placeline
+{PSL_xp 0 get PSL_yp 0 get M
+  1 1 j { /ii exch def PSL_xp ii get PSL_yp ii get L} for
+} def
+/PSL_draw_path_lines
+{
+  /PSL_n_paths1 PSL_n_paths 1 sub def
+  V
+  /psl_start 0 def
+  0 1 PSL_n_paths1
+  { /psl_k exch def
+    /PSL_n PSL_path_n psl_k get def
+    /PSL_n1 PSL_n 1 sub def
+    PSL_path_pen psl_k get cvx exec
+    N
+    PSL_path_x psl_start get PSL_path_y psl_start get M
+    1 1 PSL_n1
+    { /psl_i exch def
+      /psl_kk psl_i psl_start add def
+      PSL_path_x psl_kk get PSL_path_y psl_kk get L
+    } for
+    /psl_xclose PSL_path_x psl_kk get PSL_path_x psl_start get sub def
+    /psl_yclose PSL_path_y psl_kk get PSL_path_y psl_start get sub def
+    psl_xclose 0 eq psl_yclose 0 eq and { P } if
+    S
+    /psl_start psl_start PSL_n add def
+  } for
+  U
+} def
+/PSL_straight_path_labels
+{
+  /psl_bits exch def
+  /PSL_placetext psl_bits 2 and 2 eq def
+  /PSL_rounded psl_bits 32 and 32 eq def
+  /PSL_fillbox psl_bits 128 and 128 eq def
+  /PSL_drawbox psl_bits 256 and 256 eq def
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  /PSL_usebox PSL_fillbox PSL_drawbox or def
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    PSL_ST_prepare_text
+    PSL_usebox
+    {  PSL_rounded
+        {PSL_ST_textbox_round}
+        {PSL_ST_textbox_rect}
+      ifelse
+      PSL_fillbox {V PSL_setboxrgb fill U} if
+      PSL_drawbox {V PSL_setboxpen S U} if
+      N
+    } if
+    PSL_placetext {PSL_ST_place_label} if
+  } for
+} def
+/PSL_straight_path_clip
+{
+  /psl_bits exch def
+  /PSL_rounded psl_bits 32 and 32 eq def
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  N clipsave clippath
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    PSL_ST_prepare_text
+    PSL_rounded
+      {PSL_ST_textbox_round}
+      {PSL_ST_textbox_rect}
+    ifelse
+  } for
+  PSL_eoclip N
+} def
+/PSL_ST_prepare_text
+{
+  /psl_xp PSL_txt_x psl_k get def
+  /psl_yp PSL_txt_y psl_k get def
+  /psl_label PSL_label_str psl_k get def
+  PSL_label_font psl_k get cvx exec
+  /PSL_height PSL_heights psl_k get def
+  /psl_boxH PSL_height PSL_gap_y 2 mul add def
+  /PSL_just PSL_label_justify psl_k get def
+  /PSL_justx PSL_just 4 mod 1 sub 2 div neg def
+  /PSL_justy PSL_just 4 idiv 2 div neg def
+  /psl_SW psl_label stringwidth pop def
+  /psl_boxW psl_SW PSL_gap_x 2 mul add def
+  /psl_x0 psl_SW PSL_justx mul def
+  /psl_y0 PSL_justy PSL_height mul def
+  /psl_angle PSL_label_angle psl_k get def
+} def
+/PSL_ST_textbox_rect
+{
+  psl_xp psl_yp T psl_angle R psl_x0 psl_y0 T
+  PSL_gap_x neg PSL_gap_y neg M
+  0 psl_boxH D psl_boxW 0 D 0 psl_boxH neg D P
+  psl_x0 neg psl_y0 neg T psl_angle neg R psl_xp neg psl_yp neg T
+} def
+/PSL_ST_textbox_round
+{
+  /psl_BoxR PSL_gap_x PSL_gap_y lt {PSL_gap_x} {PSL_gap_y} ifelse def
+  /psl_xd PSL_gap_x psl_BoxR sub def
+  /psl_yd PSL_gap_y psl_BoxR sub def
+  /psl_xL PSL_gap_x neg def
+  /psl_yB PSL_gap_y neg def
+  /psl_yT psl_boxH psl_yB add def
+  /psl_H2 PSL_height psl_yd 2 mul add def
+  /psl_W2 psl_SW psl_xd 2 mul add def
+  /psl_xR psl_xL psl_boxW add def
+  /psl_x0 psl_SW PSL_justx mul def
+  psl_xp psl_yp T psl_angle R psl_x0 psl_y0 T
+  psl_xL psl_yd M
+  psl_xL psl_yT psl_xR psl_yT psl_BoxR arct psl_W2 0 D
+  psl_xR psl_yT psl_xR psl_yB psl_BoxR arct 0 psl_H2 neg D
+  psl_xR psl_yB psl_xL psl_yB psl_BoxR arct psl_W2 neg 0 D
+  psl_xL psl_yB psl_xL psl_yd psl_BoxR arct P
+  psl_x0 neg psl_y0 neg T psl_angle neg R psl_xp neg psl_yp neg T
+} def
+/PSL_ST_place_label
+{
+    V psl_xp psl_yp T psl_angle R
+    psl_SW PSL_justx mul psl_y0 M
+    psl_label dup sd neg 0 exch G show
+    U
+} def
+/PSL_nclip 0 def
+/PSL_clip {clip /PSL_nclip PSL_nclip 1 add def} def
+/PSL_eoclip {eoclip /PSL_nclip PSL_nclip 1 add def} def
+/PSL_cliprestore {cliprestore /PSL_nclip PSL_nclip 1 sub def} def
+%%EndProlog
+%%BeginSetup
+/PSLevel /languagelevel where {pop languagelevel} {1} ifelse def
+<< /PageSize [148.518 153.54] >> setpagedevice
+-3.096 -10.728 translate
+%%EndSetup
+%%Page: 1 1
+%%BeginPageSetup
+V 0.06 0.06 scale
+%%EndPageSetup
+/PSL_page_xsize 9917 def
+/PSL_page_ysize 14033 def
+/PSL_plot_completion {} def
+/PSL_movie_completion {} def
+%PSL_End_Header
+gsave
+0 A
+FQ
+O0
+600 600 TM
+% PostScript produced by:
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+%@PROJ: xy 0.00000000 100.00000000 0.00000000 100.00000000 0.000 100.000 0.000 100.000 +xy
+%%BeginObject PSL_Layer_1
+0 setlinecap
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+3.32551 setmiterlimit
+clipsave
+0 0 M
+1800 0 D
+0 1800 D
+-1800 0 D
+P
+PSL_clip N
+V N -9 -9 T 1818 1818 scale /DeviceRGB setcolorspace
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+/dieresis	/quotesinglbase	/ring		/cedilla	/quotesingle	/hungarumlaut	/ogonek		/caron
+/space		/exclamdown	/cent		/sterling	/currency	/yen		/brokenbar	/section
+/dieresis	/copyright	/ordfeminine	/guillemotleft	/logicalnot	/hyphen		/registered	/macron
+/degree		/plusminus	/twosuperior	/threesuperior	/acute		/mu		/paragraph	/periodcentered
+/cedilla	/onesuperior	/ordmasculine	/guillemotright	/onequarter	/onehalf	/threequarters	/questiondown
+/Agrave		/Aacute		/Acircumflex	/Atilde		/Adieresis	/Aring		/AE		/Ccedilla
+/Egrave		/Eacute		/Ecircumflex	/Edieresis	/Igrave		/Iacute		/Icircumflex	/Idieresis
+/Eth		/Ntilde		/Ograve		/Oacute		/Ocircumflex	/Otilde		/Odieresis	/multiply
+/Oslash		/Ugrave		/Uacute		/Ucircumflex	/Udieresis	/Yacute		/Thorn		/germandbls
+/agrave		/aacute		/acircumflex	/atilde		/adieresis	/aring		/ae		/ccedilla
+/egrave		/eacute		/ecircumflex	/edieresis	/igrave		/iacute		/icircumflex	/idieresis
+/eth		/ntilde		/ograve		/oacute		/ocircumflex	/otilde		/odieresis	/divide
+/oslash		/ugrave		/uacute		/ucircumflex	/udieresis	/yacute		/thorn		/ydieresis
+] def
+/PSL_font_encode 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 39 array astore def
+/F0 {/Helvetica Y}!
+/F1 {/Helvetica-Bold Y}!
+/F2 {/Helvetica-Oblique Y}!
+/F3 {/Helvetica-BoldOblique Y}!
+/F4 {/Times-Roman Y}!
+/F5 {/Times-Bold Y}!
+/F6 {/Times-Italic Y}!
+/F7 {/Times-BoldItalic Y}!
+/F8 {/Courier Y}!
+/F9 {/Courier-Bold Y}!
+/F10 {/Courier-Oblique Y}!
+/F11 {/Courier-BoldOblique Y}!
+/F12 {/Symbol Y}!
+/F13 {/AvantGarde-Book Y}!
+/F14 {/AvantGarde-BookOblique Y}!
+/F15 {/AvantGarde-Demi Y}!
+/F16 {/AvantGarde-DemiOblique Y}!
+/F17 {/Bookman-Demi Y}!
+/F18 {/Bookman-DemiItalic Y}!
+/F19 {/Bookman-Light Y}!
+/F20 {/Bookman-LightItalic Y}!
+/F21 {/Helvetica-Narrow Y}!
+/F22 {/Helvetica-Narrow-Bold Y}!
+/F23 {/Helvetica-Narrow-Oblique Y}!
+/F24 {/Helvetica-Narrow-BoldOblique Y}!
+/F25 {/NewCenturySchlbk-Roman Y}!
+/F26 {/NewCenturySchlbk-Italic Y}!
+/F27 {/NewCenturySchlbk-Bold Y}!
+/F28 {/NewCenturySchlbk-BoldItalic Y}!
+/F29 {/Palatino-Roman Y}!
+/F30 {/Palatino-Italic Y}!
+/F31 {/Palatino-Bold Y}!
+/F32 {/Palatino-BoldItalic Y}!
+/F33 {/ZapfChancery-MediumItalic Y}!
+/F34 {/ZapfDingbats Y}!
+/F35 {/Ryumin-Light-EUC-H Y}!
+/F36 {/Ryumin-Light-EUC-V Y}!
+/F37 {/GothicBBB-Medium-EUC-H Y}!
+/F38 {/GothicBBB-Medium-EUC-V Y}!
+/PSL_pathtextdict 26 dict def
+/PSL_pathtext
+  {PSL_pathtextdict begin
+    /ydepth exch def
+    /textheight exch def
+    /just exch def
+    /offset exch def
+    /str exch def
+    /pathdist 0 def
+    /setdist offset def
+    /charcount 0 def
+    /justy just 4 idiv textheight mul 2 div neg ydepth sub def
+    V flattenpath
+	{movetoproc} {linetoproc}
+	{curvetoproc} {closepathproc}
+	pathforall
+    U N
+    end
+  } def
+PSL_pathtextdict begin
+/movetoproc
+  { /newy exch def /newx exch def
+    /firstx newx def /firsty newy def
+    /ovr 0 def
+    newx newy transform
+    /cpy exch def /cpx exch def
+  } def
+/linetoproc
+  { /oldx newx def /oldy newy def
+    /newy exch def /newx exch def
+    /dx newx oldx sub def
+    /dy newy oldy sub def
+    /dist dx dup mul dy dup mul add sqrt def
+    dist 0 ne
+    { /dsx dx dist div ovr mul def
+      /dsy dy dist div ovr mul def
+      oldx dsx add oldy dsy add transform
+      /cpy exch def /cpx exch def
+      /pathdist pathdist dist add def
+      {setdist pathdist le
+	  {charcount str length lt
+	      {setchar} {exit} ifelse}
+	  { /ovr setdist pathdist sub def
+	    exit}
+	  ifelse
+      } loop
+    } if
+  } def
+/curvetoproc
+  { (ERROR: No curveto's after flattenpath!)
+    print
+  } def
+/closepathproc
+  {firstx firsty linetoproc
+    firstx firsty movetoproc
+  } def
+/setchar
+  { /char str charcount 1 getinterval def
+    /charcount charcount 1 add def
+    /charwidth char stringwidth pop def
+    V cpx cpy itransform T
+      dy dx atan R
+      0 justy M
+      char show
+      0 justy neg G
+      currentpoint transform
+      /cpy exch def /cpx exch def
+    U /setdist setdist charwidth add def
+  } def
+end
+/PSL_set_label_heights
+{
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  /PSL_heights PSL_n_labels array def
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    /psl_label PSL_label_str psl_k get def
+    PSL_label_font psl_k get cvx exec
+    psl_label sH /PSL_height edef
+    PSL_heights psl_k PSL_height put
+  } for
+} def
+/PSL_curved_path_labels
+{ /psl_bits exch def
+  /PSL_placetext psl_bits 2 and 2 eq def
+  /PSL_clippath psl_bits 4 and 4 eq def
+  /PSL_strokeline false def
+  /PSL_fillbox psl_bits 128 and 128 eq def
+  /PSL_drawbox psl_bits 256 and 256 eq def
+  /PSL_n_paths1 PSL_n_paths 1 sub def
+  /PSL_usebox PSL_fillbox PSL_drawbox or def
+  PSL_clippath {clipsave N clippath} if
+  /psl_k 0 def
+  /psl_p 0 def
+  0 1 PSL_n_paths1
+  { /psl_kk exch def
+    /PSL_n PSL_path_n  psl_kk get def
+    /PSL_m PSL_label_n psl_kk get def
+    /PSL_x PSL_path_x psl_k PSL_n getinterval def
+    /PSL_y PSL_path_y psl_k PSL_n getinterval def
+    /PSL_node_tmp PSL_label_node psl_p PSL_m getinterval def
+    /PSL_angle_tmp PSL_label_angle psl_p PSL_m getinterval def
+    /PSL_str_tmp PSL_label_str psl_p PSL_m getinterval def
+    /PSL_fnt_tmp PSL_label_font psl_p PSL_m getinterval def
+    PSL_curved_path_label
+    /psl_k psl_k PSL_n add def
+    /psl_p psl_p PSL_m add def
+  } for
+  PSL_clippath {PSL_eoclip} if N
+} def
+/PSL_curved_path_label
+{
+  /PSL_n1 PSL_n 1 sub def
+  /PSL_m1 PSL_m 1 sub def
+  PSL_CT_calcstringwidth
+  PSL_CT_calclinedist
+  PSL_CT_excludelabels
+  PSL_CT_addcutpoints
+  /PSL_nn1 PSL_nn 1 sub def
+  /n 0 def
+  /k 0 def
+  /j 0 def
+  /PSL_seg 0 def
+  /PSL_xp PSL_nn array def
+  /PSL_yp PSL_nn array def
+  PSL_xp 0 PSL_xx 0 get put
+  PSL_yp 0 PSL_yy 0 get put
+  1 1 PSL_nn1
+  { /i exch def
+    /node_type PSL_kind i get def
+    /j j 1 add def
+    PSL_xp j PSL_xx i get put
+    PSL_yp j PSL_yy i get put
+    node_type 1 eq
+    {n 0 eq
+      {PSL_CT_drawline}
+      {	PSL_CT_reversepath
+	PSL_CT_textline} ifelse
+      /j 0 def
+      PSL_xp j PSL_xx i get put
+      PSL_yp j PSL_yy i get put
+    } if
+  } for
+  n 0 eq {PSL_CT_drawline} if
+} def
+/PSL_CT_textline
+{ PSL_fnt k get cvx exec
+  /PSL_height PSL_heights k get def
+  PSL_placetext	{PSL_CT_placelabel} if
+  PSL_clippath {PSL_CT_clippath} if
+  /n 0 def /k k 1 add def
+} def
+/PSL_CT_calcstringwidth
+{ /PSL_width_tmp PSL_m array def
+  0 1 PSL_m1
+  { /i exch def
+    PSL_fnt_tmp i get cvx exec
+    PSL_width_tmp i PSL_str_tmp i get stringwidth pop put
+  } for
+} def
+/PSL_CT_calclinedist
+{ /PSL_newx PSL_x 0 get def
+  /PSL_newy PSL_y 0 get def
+  /dist 0.0 def
+  /PSL_dist PSL_n array def
+  PSL_dist 0 0.0 put
+  1 1 PSL_n1
+  { /i exch def
+    /PSL_oldx PSL_newx def
+    /PSL_oldy PSL_newy def
+    /PSL_newx PSL_x i get def
+    /PSL_newy PSL_y i get def
+    /dx PSL_newx PSL_oldx sub def
+    /dy PSL_newy PSL_oldy sub def
+    /dist dist dx dx mul dy dy mul add sqrt add def
+    PSL_dist i dist put
+  } for
+} def
+/PSL_CT_excludelabels
+{ /k 0 def
+  /PSL_width PSL_m array def
+  /PSL_angle PSL_m array def
+  /PSL_node PSL_m array def
+  /PSL_str PSL_m array def
+  /PSL_fnt PSL_m array def
+  /lastdist PSL_dist PSL_n1 get def
+  0 1 PSL_m1
+  { /i exch def
+    /dist PSL_dist PSL_node_tmp i get get def
+    /halfwidth PSL_width_tmp i get 2 div PSL_gap_x add def
+    /L_dist dist halfwidth sub def
+    /R_dist dist halfwidth add def
+    L_dist 0 gt R_dist lastdist lt and
+    {
+      PSL_width k PSL_width_tmp i get put
+      PSL_node k PSL_node_tmp i get put
+      PSL_angle k PSL_angle_tmp i get put
+      PSL_str k PSL_str_tmp i get put
+      PSL_fnt k PSL_fnt_tmp i get put
+      /k k 1 add def
+    } if
+  } for
+  /PSL_m k def
+  /PSL_m1 PSL_m 1 sub def
+} def
+/PSL_CT_addcutpoints
+{ /k 0 def
+  /PSL_nc PSL_m 2 mul 1 add def
+  /PSL_cuts PSL_nc array def
+  /PSL_nc1 PSL_nc 1 sub def
+  0 1 PSL_m1
+  { /i exch def
+    /dist PSL_dist PSL_node i get get def
+    /halfwidth PSL_width i get 2 div PSL_gap_x add def
+    PSL_cuts k dist halfwidth sub put
+    /k k 1 add def
+    PSL_cuts k dist halfwidth add put
+    /k k 1 add def
+  } for
+  PSL_cuts k 100000.0 put
+  /PSL_nn PSL_n PSL_m 2 mul add def
+  /PSL_xx PSL_nn array def
+  /PSL_yy PSL_nn array def
+  /PSL_kind PSL_nn array def
+  /j 0 def
+  /k 0 def
+  /dist 0.0 def
+  0 1 PSL_n1
+  { /i exch def
+    /last_dist dist def
+    /dist PSL_dist i get def
+    k 1 PSL_nc1
+    { /kk exch def
+      /this_cut PSL_cuts kk get def
+      dist this_cut gt
+      { /ds dist last_dist sub def
+	/f ds 0.0 eq {0.0} {dist this_cut sub ds div} ifelse def
+	/i1 i 0 eq {0} {i 1 sub} ifelse def
+	PSL_xx j PSL_x i get dup PSL_x i1 get sub f mul sub put
+	PSL_yy j PSL_y i get dup PSL_y i1 get sub f mul sub put
+	PSL_kind j 1 put
+	/j j 1 add def
+	/k k 1 add def
+      } if
+    } for
+    dist PSL_cuts k get le
+    {PSL_xx j PSL_x i get put PSL_yy j PSL_y i get put
+      PSL_kind j 0 put
+      /j j 1 add def
+    } if
+  } for
+} def
+/PSL_CT_reversepath
+{PSL_xp j get PSL_xp 0 get lt
+  {0 1 j 2 idiv
+    { /left exch def
+      /right j left sub def
+      /tmp PSL_xp left get def
+      PSL_xp left PSL_xp right get put
+      PSL_xp right tmp put
+      /tmp PSL_yp left get def
+      PSL_yp left PSL_yp right get put
+      PSL_yp right tmp put
+    } for
+  } if
+} def
+/PSL_CT_placelabel
+{
+  /PSL_just PSL_label_justify k get def
+  /PSL_height PSL_heights k get def
+  /psl_label PSL_str k get def
+  /psl_depth psl_label sd def
+  PSL_usebox
+  {PSL_CT_clippath
+    PSL_fillbox
+    {V PSL_setboxrgb fill U} if
+    PSL_drawbox
+    {V PSL_setboxpen S U} if N
+  } if
+  PSL_CT_placeline psl_label PSL_gap_x PSL_just PSL_height psl_depth PSL_pathtext
+} def
+/PSL_CT_clippath
+{
+  /H PSL_height 2 div PSL_gap_y add def
+  /xoff j 1 add array def
+  /yoff j 1 add array def
+  /angle 0 def
+  0 1 j {
+    /ii exch def
+    /x PSL_xp ii get def
+    /y PSL_yp ii get def
+    ii 0 eq {
+      /x1 PSL_xp 1 get def
+      /y1 PSL_yp 1 get def
+      /dx x1 x sub def
+      /dy y1 y sub def
+    }
+    { /i1 ii 1 sub def
+      /x1 PSL_xp i1 get def
+      /y1 PSL_yp i1 get def
+      /dx x x1 sub def
+      /dy y y1 sub def
+    } ifelse
+    dx 0.0 eq dy 0.0 eq and not
+    { /angle dy dx atan 90 add def} if
+    /sina angle sin def
+    /cosa angle cos def
+    xoff ii H cosa mul put
+    yoff ii H sina mul put
+  } for
+  PSL_xp 0 get xoff 0 get add PSL_yp 0 get yoff 0 get add M
+  1 1 j {
+    /ii exch def
+    PSL_xp ii get xoff ii get add PSL_yp ii get yoff ii get add L
+  } for
+  j -1 0 {
+    /ii exch def
+    PSL_xp ii get xoff ii get sub PSL_yp ii get yoff ii get sub L
+  } for P
+} def
+/PSL_CT_drawline
+{
+  /str 20 string def
+  PSL_strokeline
+  {PSL_CT_placeline S} if
+  /PSL_seg PSL_seg 1 add def
+  /n 1 def
+} def
+/PSL_CT_placeline
+{PSL_xp 0 get PSL_yp 0 get M
+  1 1 j { /ii exch def PSL_xp ii get PSL_yp ii get L} for
+} def
+/PSL_draw_path_lines
+{
+  /PSL_n_paths1 PSL_n_paths 1 sub def
+  V
+  /psl_start 0 def
+  0 1 PSL_n_paths1
+  { /psl_k exch def
+    /PSL_n PSL_path_n psl_k get def
+    /PSL_n1 PSL_n 1 sub def
+    PSL_path_pen psl_k get cvx exec
+    N
+    PSL_path_x psl_start get PSL_path_y psl_start get M
+    1 1 PSL_n1
+    { /psl_i exch def
+      /psl_kk psl_i psl_start add def
+      PSL_path_x psl_kk get PSL_path_y psl_kk get L
+    } for
+    /psl_xclose PSL_path_x psl_kk get PSL_path_x psl_start get sub def
+    /psl_yclose PSL_path_y psl_kk get PSL_path_y psl_start get sub def
+    psl_xclose 0 eq psl_yclose 0 eq and { P } if
+    S
+    /psl_start psl_start PSL_n add def
+  } for
+  U
+} def
+/PSL_straight_path_labels
+{
+  /psl_bits exch def
+  /PSL_placetext psl_bits 2 and 2 eq def
+  /PSL_rounded psl_bits 32 and 32 eq def
+  /PSL_fillbox psl_bits 128 and 128 eq def
+  /PSL_drawbox psl_bits 256 and 256 eq def
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  /PSL_usebox PSL_fillbox PSL_drawbox or def
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    PSL_ST_prepare_text
+    PSL_usebox
+    {  PSL_rounded
+        {PSL_ST_textbox_round}
+        {PSL_ST_textbox_rect}
+      ifelse
+      PSL_fillbox {V PSL_setboxrgb fill U} if
+      PSL_drawbox {V PSL_setboxpen S U} if
+      N
+    } if
+    PSL_placetext {PSL_ST_place_label} if
+  } for
+} def
+/PSL_straight_path_clip
+{
+  /psl_bits exch def
+  /PSL_rounded psl_bits 32 and 32 eq def
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  N clipsave clippath
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    PSL_ST_prepare_text
+    PSL_rounded
+      {PSL_ST_textbox_round}
+      {PSL_ST_textbox_rect}
+    ifelse
+  } for
+  PSL_eoclip N
+} def
+/PSL_ST_prepare_text
+{
+  /psl_xp PSL_txt_x psl_k get def
+  /psl_yp PSL_txt_y psl_k get def
+  /psl_label PSL_label_str psl_k get def
+  PSL_label_font psl_k get cvx exec
+  /PSL_height PSL_heights psl_k get def
+  /psl_boxH PSL_height PSL_gap_y 2 mul add def
+  /PSL_just PSL_label_justify psl_k get def
+  /PSL_justx PSL_just 4 mod 1 sub 2 div neg def
+  /PSL_justy PSL_just 4 idiv 2 div neg def
+  /psl_SW psl_label stringwidth pop def
+  /psl_boxW psl_SW PSL_gap_x 2 mul add def
+  /psl_x0 psl_SW PSL_justx mul def
+  /psl_y0 PSL_justy PSL_height mul def
+  /psl_angle PSL_label_angle psl_k get def
+} def
+/PSL_ST_textbox_rect
+{
+  psl_xp psl_yp T psl_angle R psl_x0 psl_y0 T
+  PSL_gap_x neg PSL_gap_y neg M
+  0 psl_boxH D psl_boxW 0 D 0 psl_boxH neg D P
+  psl_x0 neg psl_y0 neg T psl_angle neg R psl_xp neg psl_yp neg T
+} def
+/PSL_ST_textbox_round
+{
+  /psl_BoxR PSL_gap_x PSL_gap_y lt {PSL_gap_x} {PSL_gap_y} ifelse def
+  /psl_xd PSL_gap_x psl_BoxR sub def
+  /psl_yd PSL_gap_y psl_BoxR sub def
+  /psl_xL PSL_gap_x neg def
+  /psl_yB PSL_gap_y neg def
+  /psl_yT psl_boxH psl_yB add def
+  /psl_H2 PSL_height psl_yd 2 mul add def
+  /psl_W2 psl_SW psl_xd 2 mul add def
+  /psl_xR psl_xL psl_boxW add def
+  /psl_x0 psl_SW PSL_justx mul def
+  psl_xp psl_yp T psl_angle R psl_x0 psl_y0 T
+  psl_xL psl_yd M
+  psl_xL psl_yT psl_xR psl_yT psl_BoxR arct psl_W2 0 D
+  psl_xR psl_yT psl_xR psl_yB psl_BoxR arct 0 psl_H2 neg D
+  psl_xR psl_yB psl_xL psl_yB psl_BoxR arct psl_W2 neg 0 D
+  psl_xL psl_yB psl_xL psl_yd psl_BoxR arct P
+  psl_x0 neg psl_y0 neg T psl_angle neg R psl_xp neg psl_yp neg T
+} def
+/PSL_ST_place_label
+{
+    V psl_xp psl_yp T psl_angle R
+    psl_SW PSL_justx mul psl_y0 M
+    psl_label dup sd neg 0 exch G show
+    U
+} def
+/PSL_nclip 0 def
+/PSL_clip {clip /PSL_nclip PSL_nclip 1 add def} def
+/PSL_eoclip {eoclip /PSL_nclip PSL_nclip 1 add def} def
+/PSL_cliprestore {cliprestore /PSL_nclip PSL_nclip 1 sub def} def
+%%EndProlog
+%%BeginSetup
+/PSLevel /languagelevel where {pop languagelevel} {1} ifelse def
+<< /PageSize [148.518 153.54] >> setpagedevice
+-3.096 -10.728 translate
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+%%BeginPageSetup
+V 0.06 0.06 scale
+%%EndPageSetup
+/PSL_page_xsize 9917 def
+/PSL_page_ysize 14033 def
+/PSL_plot_completion {} def
+/PSL_movie_completion {} def
+%PSL_End_Header
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diff --git a/data/trace_nag.txt b/data/trace_nag.txt
new file mode 100644
index 0000000..176faac
--- /dev/null
+++ b/data/trace_nag.txt
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\ No newline at end of file
diff --git a/data/trace_rmsprop.eps b/data/trace_rmsprop.eps
new file mode 100644
index 0000000..f588c24
--- /dev/null
+++ b/data/trace_rmsprop.eps
@@ -0,0 +1,1249 @@
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+    PSL_path_pen psl_k get cvx exec
+    N
+    PSL_path_x psl_start get PSL_path_y psl_start get M
+    1 1 PSL_n1
+    { /psl_i exch def
+      /psl_kk psl_i psl_start add def
+      PSL_path_x psl_kk get PSL_path_y psl_kk get L
+    } for
+    /psl_xclose PSL_path_x psl_kk get PSL_path_x psl_start get sub def
+    /psl_yclose PSL_path_y psl_kk get PSL_path_y psl_start get sub def
+    psl_xclose 0 eq psl_yclose 0 eq and { P } if
+    S
+    /psl_start psl_start PSL_n add def
+  } for
+  U
+} def
+/PSL_straight_path_labels
+{
+  /psl_bits exch def
+  /PSL_placetext psl_bits 2 and 2 eq def
+  /PSL_rounded psl_bits 32 and 32 eq def
+  /PSL_fillbox psl_bits 128 and 128 eq def
+  /PSL_drawbox psl_bits 256 and 256 eq def
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  /PSL_usebox PSL_fillbox PSL_drawbox or def
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    PSL_ST_prepare_text
+    PSL_usebox
+    {  PSL_rounded
+        {PSL_ST_textbox_round}
+        {PSL_ST_textbox_rect}
+      ifelse
+      PSL_fillbox {V PSL_setboxrgb fill U} if
+      PSL_drawbox {V PSL_setboxpen S U} if
+      N
+    } if
+    PSL_placetext {PSL_ST_place_label} if
+  } for
+} def
+/PSL_straight_path_clip
+{
+  /psl_bits exch def
+  /PSL_rounded psl_bits 32 and 32 eq def
+  /PSL_n_labels_minus_1 PSL_n_labels 1 sub def
+  N clipsave clippath
+  0 1 PSL_n_labels_minus_1
+  { /psl_k exch def
+    PSL_ST_prepare_text
+    PSL_rounded
+      {PSL_ST_textbox_round}
+      {PSL_ST_textbox_rect}
+    ifelse
+  } for
+  PSL_eoclip N
+} def
+/PSL_ST_prepare_text
+{
+  /psl_xp PSL_txt_x psl_k get def
+  /psl_yp PSL_txt_y psl_k get def
+  /psl_label PSL_label_str psl_k get def
+  PSL_label_font psl_k get cvx exec
+  /PSL_height PSL_heights psl_k get def
+  /psl_boxH PSL_height PSL_gap_y 2 mul add def
+  /PSL_just PSL_label_justify psl_k get def
+  /PSL_justx PSL_just 4 mod 1 sub 2 div neg def
+  /PSL_justy PSL_just 4 idiv 2 div neg def
+  /psl_SW psl_label stringwidth pop def
+  /psl_boxW psl_SW PSL_gap_x 2 mul add def
+  /psl_x0 psl_SW PSL_justx mul def
+  /psl_y0 PSL_justy PSL_height mul def
+  /psl_angle PSL_label_angle psl_k get def
+} def
+/PSL_ST_textbox_rect
+{
+  psl_xp psl_yp T psl_angle R psl_x0 psl_y0 T
+  PSL_gap_x neg PSL_gap_y neg M
+  0 psl_boxH D psl_boxW 0 D 0 psl_boxH neg D P
+  psl_x0 neg psl_y0 neg T psl_angle neg R psl_xp neg psl_yp neg T
+} def
+/PSL_ST_textbox_round
+{
+  /psl_BoxR PSL_gap_x PSL_gap_y lt {PSL_gap_x} {PSL_gap_y} ifelse def
+  /psl_xd PSL_gap_x psl_BoxR sub def
+  /psl_yd PSL_gap_y psl_BoxR sub def
+  /psl_xL PSL_gap_x neg def
+  /psl_yB PSL_gap_y neg def
+  /psl_yT psl_boxH psl_yB add def
+  /psl_H2 PSL_height psl_yd 2 mul add def
+  /psl_W2 psl_SW psl_xd 2 mul add def
+  /psl_xR psl_xL psl_boxW add def
+  /psl_x0 psl_SW PSL_justx mul def
+  psl_xp psl_yp T psl_angle R psl_x0 psl_y0 T
+  psl_xL psl_yd M
+  psl_xL psl_yT psl_xR psl_yT psl_BoxR arct psl_W2 0 D
+  psl_xR psl_yT psl_xR psl_yB psl_BoxR arct 0 psl_H2 neg D
+  psl_xR psl_yB psl_xL psl_yB psl_BoxR arct psl_W2 neg 0 D
+  psl_xL psl_yB psl_xL psl_yd psl_BoxR arct P
+  psl_x0 neg psl_y0 neg T psl_angle neg R psl_xp neg psl_yp neg T
+} def
+/PSL_ST_place_label
+{
+    V psl_xp psl_yp T psl_angle R
+    psl_SW PSL_justx mul psl_y0 M
+    psl_label dup sd neg 0 exch G show
+    U
+} def
+/PSL_nclip 0 def
+/PSL_clip {clip /PSL_nclip PSL_nclip 1 add def} def
+/PSL_eoclip {eoclip /PSL_nclip PSL_nclip 1 add def} def
+/PSL_cliprestore {cliprestore /PSL_nclip PSL_nclip 1 sub def} def
+%%EndProlog
+%%BeginSetup
+/PSLevel /languagelevel where {pop languagelevel} {1} ifelse def
+<< /PageSize [148.518 153.54] >> setpagedevice
+-3.096 -10.728 translate
+%%EndSetup
+%%Page: 1 1
+%%BeginPageSetup
+V 0.06 0.06 scale
+%%EndPageSetup
+/PSL_page_xsize 9917 def
+/PSL_page_ysize 14033 def
+/PSL_plot_completion {} def
+/PSL_movie_completion {} def
+%PSL_End_Header
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+FQ
+O0
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+%@PROJ: xy 0.00000000 100.00000000 0.00000000 100.00000000 0.000 100.000 0.000 100.000 +xy
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+V N -9 -9 T 1818 1818 scale /DeviceRGB setcolorspace
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literal 0
HcmV?d00001

diff --git a/data/trace_rmsprop.txt b/data/trace_rmsprop.txt
new file mode 100644
index 0000000..738679a
--- /dev/null
+++ b/data/trace_rmsprop.txt
@@ -0,0 +1,293 @@
+25 20
+47.3607 42.3607
+64.3811 37.1944
+44.1966 54.9809
+55.2149 40.7588
+52.472 44.1797
+54.2387 41.0592
+52.7227 43.5739
+53.9651 41.4312
+52.8768 43.253
+53.84 41.6117
+52.9345 43.1331
+53.8158 41.6453
+52.9113 43.1649
+53.8835 41.5386
+52.7876 43.3737
+54.0925 41.2193
+52.4661 43.9197
+54.6433 40.4269
+51.562 45.4018
+56.4953 38.2008
+47.9994 50.0915
+61.5949 35.5684
+48.2771 49.6706
+58.0885 39.524
+51.5696 44.6053
+54.0015 41.8871
+53.3 42.52
+53.4078 42.3568
+53.3665 42.3832
+53.3708 42.372
+53.3671 42.3737
+53.3675 42.3726
+53.3671 42.3728
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.367 42.3728
+53.3672 42.3726
+53.3669 42.3729
+53.3674 42.3724
+53.3664 42.3734
+53.3686 42.3711
+53.3636 42.3765
+53.3756 42.3635
+53.3458 42.3957
+53.4223 42.3131
+53.2186 42.5333
+53.7806 41.9271
+52.1677 43.676
+57.0134 38.5292
+42.2502 54.225
+57.0924 38.9732
+47.0601 48.5418
+61.4578 34.9508
+47.9543 49.7698
+58.5967 39.585
+51.0987 44.7044
+54.1173 41.7503
+53.2433 42.5363
+53.4096 42.347
+53.362 42.3832
+53.3706 42.3711
+53.3667 42.3737
+53.3675 42.3725
+53.367 42.3728
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.367 42.3728
+53.3672 42.3726
+53.3669 42.3729
+53.3675 42.3724
+53.3663 42.3735
+53.3689 42.371
+53.3629 42.3768
+53.3771 42.3629
+53.3421 42.3972
+53.4318 42.3095
+53.1934 42.5427
+53.8495 41.9018
+51.9681 43.7484
+57.588 38.2952
+41.3952 54.6574
+53.4034 41.369
+52.6462 43.2953
+54.6114 41.2513
+51.4107 44.1017
+56.5254 39.6417
+47.5145 47.772
+62.2085 34.1123
+48.7595 49.8925
+59.9043 39.419
+49.5499 45.659
+55.0408 40.7082
+52.7934 42.9632
+53.5264 42.2319
+53.3271 42.4169
+53.3816 42.3601
+53.3626 42.3776
+53.369 42.371
+53.3663 42.3735
+53.3674 42.3724
+53.3669 42.3729
+53.3672 42.3726
+53.367 42.3728
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.3671 42.3727
+53.367 42.3728
+53.3672 42.3726
+53.367 42.3728
+53.3673 42.3725
+53.3667 42.3731
+53.3677 42.3721
+53.3658 42.374
+53.3696 42.3703
+53.3619 42.3778
+53.3783 42.3618
+53.3422 42.3971
+53.4248 42.3164
+53.2286 42.5082
+53.7115 42.0366
+52.4741 43.2489
+55.7701 40.0449
+46.2665 49.5197
+65.0259 31.1729
+74.1984 38.6656
+65.4135 23.9187
+86.1499 13.4603
+68.5796 30.5295
+74.7087 24.3691
+75.3856 22.7927
+75.4449 22.5206
+75.4751 22.337
+75.492 22.1991
+75.5017 22.0893
+75.5069 21.9983
+75.5093 21.921
+75.5097 21.8538
+75.5086 21.7947
+75.5066 21.7419
+75.5039 21.6943
+75.5006 21.6511
+75.4969 21.6115
+75.4929 21.575
+75.4886 21.5412
+75.4842 21.5098
+75.4796 21.4805
+75.475 21.453
+75.4703 21.4271
+75.4655 21.4027
+75.4607 21.3797
+75.456 21.3578
+75.4512 21.3371
+75.4464 21.3173
+75.4417 21.2985
+75.437 21.2805
+75.4323 21.2634
+75.4277 21.2469
+75.4231 21.2311
+75.4185 21.216
+75.414 21.2015
+75.4096 21.1875
+75.4052 21.174
+75.4008 21.161
+75.3966 21.1485
+75.3923 21.1365
+75.3882 21.1248
+75.3841 21.1135
+75.38 21.1027
+75.376 21.0921
+75.3721 21.0819
+75.3682 21.0721
+75.3644 21.0625
+75.3607 21.0533
+75.357 21.0443
+75.3534 21.0356
+75.3498 21.0271
+75.3463 21.0189
+75.3429 21.011
+75.3395 21.0033
+75.3362 20.9958
+75.3329 20.9885
+75.3297 20.9815
+75.3265 20.9746
+75.3235 20.9679
+75.3204 20.9615
+75.3175 20.9552
+75.3146 20.9491
+75.3117 20.9431
+75.3089 20.9374
+75.3062 20.9318
+75.3035 20.9263
+75.3009 20.921
+75.2983 20.9159
+75.2958 20.9109
+75.2933 20.9061
+75.2909 20.9014
+75.2886 20.8968
+75.2863 20.8924
+75.284 20.8881
+75.2819 20.8839
+75.2797 20.8798
+75.2777 20.8759
+75.2756 20.8721
+75.2737 20.8684
+75.2718 20.8649
+75.2699 20.8614
+75.2681 20.8581
+75.2663 20.8549
+75.2646 20.8517
+75.263 20.8487
+75.2614 20.8458
+75.2598 20.843
+75.2583 20.8403
+75.2569 20.8377
+75.2554 20.8351
+75.2541 20.8327
+75.2528 20.8304
+75.2515 20.8281
+75.2503 20.826
+75.2491 20.8239
+75.248 20.8219
+75.2469 20.82
+75.2459 20.8182
+75.2449 20.8164
+75.2439 20.8148
+75.243 20.8132
+75.2421 20.8117
+75.2413 20.8102
\ No newline at end of file
diff --git a/src/lib/sgd.cpp b/src/lib/sgd.cpp
index 6b2bb9f..5ccc7e3 100644
--- a/src/lib/sgd.cpp
+++ b/src/lib/sgd.cpp
@@ -1,6 +1,8 @@
 #include "sgd.h"
 #include "cmath"
 
+#include "iostream"
+
 /**
  * @brief      return absolute value
  *
@@ -25,7 +27,7 @@ enum sgd_return_e
 {
 	SGD_SUCCESS = 0,
 	SGD_CONVERGENCE = 1,
-	SGD_STOP, //1
+	SGD_STOP, //2
 	SGD_UNKNOWN_ERROR = -1024,
 	// The variable size is negative
 	SGD_INVILAD_VARIABLE_SIZE, //-1023
@@ -35,6 +37,8 @@ enum sgd_return_e
 	SGD_INVILAD_EPSILON, //-1021
 	// Iteration reached max limit
 	SGD_REACHED_MAX_ITERATIONS,
+	// Invalid value for mu
+	SGD_INVALID_MU,
 	// Invalid value for alpha
 	SGD_INVALID_ALPHA,
 	// Invalid value for beta
@@ -48,7 +52,7 @@ enum sgd_return_e
 /**
  * Default parameter for the SGD methods.
  */
-static const sgd_para defparam = {100, 1e-6, 0.001, 0.9, 0.999, 1e-8};
+static const sgd_para defparam = {100, 1e-6, 0.01, 0.001, 0.9, 0.999, 1e-8};
 
 sgd_float *sgd_malloc(const int n_size)
 {
@@ -91,6 +95,8 @@ const char* sgd_error_str(int er_index)
 			return "Invalid value for epsilon.";
 		case SGD_INVALID_BETA:
 			return "Invalid value for beta.";
+		case SGD_INVALID_MU:
+			return "Invalid value for mu.";
 		case SGD_INVALID_ALPHA:
 			return "Invalid value for alpha.";
 		case SGD_INVALID_SIGMA:
@@ -121,8 +127,18 @@ const char* sgd_error_str(int er_index)
 typedef int (*sgd_solver_ptr)(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sgd_float *m, 
 	const int n_size, const int m_size, const sgd_para *param, void *instance);
 
+int momentum(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sgd_float *x, 
+	const int n_size, const int m_size, const sgd_para *param, void *instance);
+int nag(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sgd_float *x, 
+	const int n_size, const int m_size, const sgd_para *param, void *instance);
+int adagrad(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sgd_float *x, 
+	const int n_size, const int m_size, const sgd_para *param, void *instance);
+int rmsprop(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sgd_float *x, 
+	const int n_size, const int m_size, const sgd_para *param, void *instance);
 int adam(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sgd_float *x, 
 	const int n_size, const int m_size, const sgd_para *param, void *instance);
+int nadam(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sgd_float *x, 
+	const int n_size, const int m_size, const sgd_para *param, void *instance);
 int adamax(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sgd_float *x, 
 	const int n_size, const int m_size, const sgd_para *param, void *instance);
 int adabelief(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sgd_float *x, 
@@ -135,9 +151,24 @@ int sgd_solver(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sg
 	sgd_solver_ptr solver;
 	switch (solver_id)
 	{
+		case SGD_MOMENTUM:
+			solver = momentum;
+			break;
+		case SGD_NAG:
+			solver = nag;
+			break;
+		case SGD_ADAGRAD:
+			solver = adagrad;
+			break;
+		case SGD_RMSPROP:
+			solver = rmsprop;
+			break;
 		case SGD_ADAM:
 			solver = adam;
 			break;
+		case SGD_NADAM:
+			solver = nadam;
+			break;
 		case SGD_ADAMAX:
 			solver = adamax;
 			break;
@@ -152,6 +183,188 @@ int sgd_solver(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sg
 	return solver(Evafp, Profp, fx, m, n_size, m_size, param, instance);
 }
 
+int momentum(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sgd_float *x, 
+	const int n_size, const int m_size, const sgd_para *param, void *instance)
+{
+	// set the Adam's parameters
+	sgd_para para = (param != nullptr) ? (*param) : defparam;
+
+	//check parameters
+	if (n_size <= 0) return SGD_INVILAD_VARIABLE_SIZE;
+	if (para.iteration <= 0) return SGD_INVILAD_MAX_ITERATIONS;
+	if (para.epsilon < 0) return SGD_INVILAD_EPSILON;
+	if (para.mu < 0 || para.mu >= 1.0) return SGD_INVALID_MU;
+
+	sgd_float *mk = sgd_malloc(n_size);
+	sgd_float *g  = sgd_malloc(n_size);
+
+	for (int i = 0; i < n_size; i++)
+	{
+		mk[i] = 0.0;
+	}
+
+	for (int t = 0; t < para.iteration; t++)
+	{
+		for (int m = 0; m < m_size; m++)
+		{
+			*fx = Evafp(instance, x, g, n_size, m);
+
+			for (int i = 0; i < n_size; i++)
+			{
+				mk[i] = para.mu*mk[i] + g[i];
+
+				x[i] = x[i] - para.alpha * mk[i];
+				if (x[i] != x[i]) return SGD_NAN_VALUE;
+			}
+		}
+
+		if (Profp(instance, *fx, x, g, param, n_size, t)) return SGD_STOP;
+		if (*fx < para.epsilon) return SGD_CONVERGENCE;
+	}
+
+	sgd_free(mk);
+	sgd_free(g);
+	return SGD_REACHED_MAX_ITERATIONS;
+}
+
+int nag(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sgd_float *x, 
+	const int n_size, const int m_size, const sgd_para *param, void *instance)
+{
+	// set the Adam's parameters
+	sgd_para para = (param != nullptr) ? (*param) : defparam;
+
+	//check parameters
+	if (n_size <= 0) return SGD_INVILAD_VARIABLE_SIZE;
+	if (para.iteration <= 0) return SGD_INVILAD_MAX_ITERATIONS;
+	if (para.epsilon < 0) return SGD_INVILAD_EPSILON;
+	if (para.mu < 0 || para.mu >= 1.0) return SGD_INVALID_MU;
+
+	sgd_float *mk = sgd_malloc(n_size);
+	sgd_float *xk = sgd_malloc(n_size);
+	sgd_float *g  = sgd_malloc(n_size);
+
+	for (int i = 0; i < n_size; i++)
+	{
+		mk[i] = 0.0;
+	}
+
+	for (int t = 0; t < para.iteration; t++)
+	{
+		for (int m = 0; m < m_size; m++)
+		{
+			for (int i = 0; i < n_size; i++)
+			{
+				xk[i] = x[i] - para.mu*para.alpha*mk[i];
+			}
+
+			*fx = Evafp(instance, xk, g, n_size, m);
+
+			for (int i = 0; i < n_size; i++)
+			{
+				mk[i] = para.mu*mk[i] + g[i];
+
+				x[i] = x[i] - para.alpha * mk[i];
+				if (x[i] != x[i]) return SGD_NAN_VALUE;
+			}
+		}
+
+		if (Profp(instance, *fx, x, g, param, n_size, t)) return SGD_STOP;
+		if (*fx < para.epsilon) return SGD_CONVERGENCE;
+	}
+
+	sgd_free(mk);
+	sgd_free(xk);
+	sgd_free(g);
+	return SGD_REACHED_MAX_ITERATIONS;
+}
+
+int adagrad(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sgd_float *x, 
+	const int n_size, const int m_size, const sgd_para *param, void *instance)
+{
+	// set the Adam's parameters
+	sgd_para para = (param != nullptr) ? (*param) : defparam;
+
+	//check parameters
+	if (n_size <= 0) return SGD_INVILAD_VARIABLE_SIZE;
+	if (para.iteration <= 0) return SGD_INVILAD_MAX_ITERATIONS;
+	if (para.epsilon < 0.0) return SGD_INVILAD_EPSILON;
+	if (para.sigma < 0.0) return SGD_INVALID_SIGMA;
+
+	sgd_float *mk = sgd_malloc(n_size);
+	sgd_float *g  = sgd_malloc(n_size);
+
+	for (int i = 0; i < n_size; i++)
+	{
+		mk[i] = 0.0;
+	}
+
+	for (int t = 0; t < para.iteration; t++)
+	{
+		for (int m = 0; m < m_size; m++)
+		{
+			*fx = Evafp(instance, x, g, n_size, m);
+
+			for (int i = 0; i < n_size; i++)
+			{
+				mk[i] = mk[i] + g[i]*g[i];
+
+				x[i] = x[i] - para.alpha * g[i]/(sqrt(mk[i]) + para.sigma);
+				if (x[i] != x[i]) return SGD_NAN_VALUE;
+			}
+		}
+
+		if (Profp(instance, *fx, x, g, param, n_size, t)) return SGD_STOP;
+		if (*fx < para.epsilon) return SGD_CONVERGENCE;
+	}
+
+	sgd_free(mk);
+	sgd_free(g);
+	return SGD_REACHED_MAX_ITERATIONS;
+}
+
+int rmsprop(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sgd_float *x, 
+	const int n_size, const int m_size, const sgd_para *param, void *instance)
+{
+	// set the Adam's parameters
+	sgd_para para = (param != nullptr) ? (*param) : defparam;
+
+	//check parameters
+	if (n_size <= 0) return SGD_INVILAD_VARIABLE_SIZE;
+	if (para.iteration <= 0) return SGD_INVILAD_MAX_ITERATIONS;
+	if (para.epsilon < 0.0) return SGD_INVILAD_EPSILON;
+	if (para.sigma < 0.0) return SGD_INVALID_SIGMA;
+
+	sgd_float *vk = sgd_malloc(n_size);
+	sgd_float *g  = sgd_malloc(n_size);
+
+	for (int i = 0; i < n_size; i++)
+	{
+		vk[i] = 0.0;
+	}
+
+	for (int t = 0; t < para.iteration; t++)
+	{
+		for (int m = 0; m < m_size; m++)
+		{
+			*fx = Evafp(instance, x, g, n_size, m);
+
+			for (int i = 0; i < n_size; i++)
+			{
+				vk[i] = para.beta_2 * vk[i] + (1.0 - para.beta_2)*g[i]*g[i];
+
+				x[i] = x[i] - para.alpha * g[i]/(sqrt(vk[i]) + para.sigma);
+				if (x[i] != x[i]) return SGD_NAN_VALUE;
+			}
+		}
+
+		if (Profp(instance, *fx, x, g, param, n_size, t)) return SGD_STOP;
+		if (*fx < para.epsilon) return SGD_CONVERGENCE;
+	}
+
+	sgd_free(vk);
+	sgd_free(g);
+	return SGD_REACHED_MAX_ITERATIONS;
+}
 
 int adam(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sgd_float *x, 
 	const int n_size, const int m_size, const sgd_para *param, void *instance)
@@ -180,7 +393,6 @@ int adam(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sgd_floa
 	sgd_float beta_1t = 1.0, beta_2t = 1.0;
 	sgd_float alpha_k;
 
-	int overall_iteration = para.iteration * m_size;
 	for (int t = 0; t < para.iteration; t++)
 	{
 		beta_1t *= para.beta_1;
@@ -212,6 +424,73 @@ int adam(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sgd_floa
 	return SGD_REACHED_MAX_ITERATIONS;
 }
 
+int nadam(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sgd_float *x, 
+	const int n_size, const int m_size, const sgd_para *param, void *instance)
+{
+	// set the Adam's parameters
+	sgd_para para = (param != nullptr) ? (*param) : defparam;
+
+	//check parameters
+	if (n_size <= 0) return SGD_INVILAD_VARIABLE_SIZE;
+	if (para.iteration <= 0) return SGD_INVILAD_MAX_ITERATIONS;
+	if (para.epsilon < 0) return SGD_INVILAD_EPSILON;
+	if (para.alpha < 0) return SGD_INVALID_ALPHA;
+	if (para.beta_1 < 0.0 || para.beta_1 >= 1.0) return SGD_INVALID_BETA;
+	if (para.beta_2 < 0.0 || para.beta_2 >= 1.0) return SGD_INVALID_BETA;
+	if (para.sigma < 0.0) return SGD_INVALID_SIGMA;
+
+	sgd_float *mk = sgd_malloc(n_size);
+	sgd_float *mk_hat = sgd_malloc(n_size);
+	sgd_float *nk = sgd_malloc(n_size);
+	sgd_float *nk_hat = sgd_malloc(n_size);
+	sgd_float *g  = sgd_malloc(n_size);
+	sgd_float *g_hat = sgd_malloc(n_size);
+
+	for (int i = 0; i < n_size; i++)
+	{
+		mk[i] = nk[i] = 0.0;
+	}
+
+	sgd_float beta_1t = 1.0, beta_1t1 = para.beta_1, beta_2t = 1.0;
+
+	for (int t = 0; t < para.iteration; t++)
+	{
+		beta_1t  *= para.beta_1;
+		beta_1t1 *= para.beta_1;
+		beta_2t  *= para.beta_2;
+
+		for (int m = 0; m < m_size; m++)
+		{
+			*fx = Evafp(instance, x, g, n_size, m);
+
+			for (int i = 0; i < n_size; i++)
+			{
+				g_hat[i] = g[i]/(1.0 - beta_1t);
+				mk[i] = para.beta_1*mk[i] + (1.0 - para.beta_1)*g[i];
+				nk[i] = para.beta_2*nk[i] + (1.0 - para.beta_2)*g[i]*g[i];
+
+				mk_hat[i] = mk[i]/(1.0 - beta_1t1);
+				nk_hat[i] = nk[i]/(1.0 - beta_2t);
+
+				x[i] = x[i] - para.alpha * ((1.0 - beta_1t)*g_hat[i] 
+					+ beta_1t1*mk_hat[i])/(sqrt(nk_hat[i]) + para.sigma);
+				if (x[i] != x[i]) return SGD_NAN_VALUE;
+			}
+		}
+
+		if (Profp(instance, *fx, x, g, param, n_size, t)) return SGD_STOP;
+		if (*fx < para.epsilon) return SGD_CONVERGENCE;
+	}
+
+	sgd_free(mk);
+	sgd_free(mk_hat);
+	sgd_free(nk);
+	sgd_free(nk_hat);
+	sgd_free(g);
+	sgd_free(g_hat);
+	return SGD_REACHED_MAX_ITERATIONS;
+}
+
 int adamax(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sgd_float *x, 
 	const int n_size, const int m_size, const sgd_para *param, void *instance)
 {
@@ -239,7 +518,6 @@ int adamax(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sgd_fl
 
 	sgd_float beta_1t = 1.0;
 
-	int overall_iteration = para.iteration * m_size;
 	for (int t = 0; t < para.iteration; t++)
 	{
 		beta_1t *= para.beta_1;
@@ -295,7 +573,6 @@ int adabelief(sgd_evaulate_ptr Evafp, sgd_progress_ptr Profp, sgd_float *fx, sgd
 	sgd_float beta_1t = 1.0, beta_2t = 1.0;
 	sgd_float alpha_k;
 
-	int overall_iteration = para.iteration * m_size;
 	for (int t = 0; t < para.iteration; t++)
 	{
 		beta_1t *= para.beta_1;
diff --git a/src/lib/sgd.h b/src/lib/sgd.h
index 057cb7e..4cb2f2a 100644
--- a/src/lib/sgd.h
+++ b/src/lib/sgd.h
@@ -44,11 +44,36 @@ typedef double sgd_float;
  */
 typedef enum
 {
+	/**
+	 * Classic momentum.
+	 */
+	SGD_MOMENTUM,
+
+	/**
+	 * Nesterov’s accelerated gradient (NAG)
+	 */
+	SGD_NAG,
+
+	/**
+	 * AdaGrad method.
+	 */
+	SGD_ADAGRAD,
+
+	/**
+	 * RMSProp method.
+	 */
+	SGD_RMSPROP,
+
 	/**
 	 * Adam method.
 	 */
 	SGD_ADAM,
 
+	/**
+	 * Nadam method.
+	 */
+	SGD_NADAM,
+
 	/**
 	 * AdaMax method.
 	 */
@@ -77,6 +102,12 @@ typedef struct
 	 */
 	sgd_float epsilon;
 
+	/**
+	 * Damping rate of the classic momentum method, which is typically given 
+	 * between 0 and 1. The default is 0.01.
+	 */
+	sgd_float mu;
+
 	/**
 	 * Step size of the iteration. The default value is 0.001 for Adam and 0.002
 	 * for AdaMax.
diff --git a/src/sample/sample.cpp b/src/sample/sample.cpp
index 3a88297..6486bc2 100644
--- a/src/sample/sample.cpp
+++ b/src/sample/sample.cpp
@@ -66,7 +66,8 @@ double evaluate(void *instance, const double *x, double *g, const int n, const i
 		g[1] += -1.0*gaussian_distribution(x[0], x[1], para[i], Dy);
 	}
 
-	fx += 12.82906044;
+	fx += 15.78257991; // 取5组参数 非凸的情况
+	//fx += 12.82906044; // 取2组参数 凸的情况
 
 	g[0] *= 2.0*fx;
 	g[1] *= 2.0*fx;
@@ -77,7 +78,11 @@ int progress(void *instance, sgd_float fx, const sgd_float *x, const sgd_float *
 	const sgd_para *param, const int n_size, const int k)
 {
 	std::clog << "iteration time: " << k << ", fx: " << fx << "\r";
-	if (fx < param->epsilon) std::clog << std::endl;
+	if (fx < param->epsilon)
+	{
+		std::clog << std::endl;
+		std::cout << ">" << std::endl;
+	}
 	return 0;
 }
 
@@ -91,28 +96,100 @@ int main(int argc, char *argv[])
 	tmp_p.mu_x = 0.60; tmp_p.mu_y = 0.70; tmp_p.sigma_x = 0.10; tmp_p.sigma_y = 0.20; tmp_p.rho = 0.0;
 	para.push_back(tmp_p);
 
+	tmp_p.mu_x = 0.75; tmp_p.mu_y = 0.20; tmp_p.sigma_x = 0.10; tmp_p.sigma_y = 0.12; tmp_p.rho = 0.5;
+	para.push_back(tmp_p);
+
+	tmp_p.mu_x = 0.10; tmp_p.mu_y = 0.40; tmp_p.sigma_x = 0.60; tmp_p.sigma_y = 0.70; tmp_p.rho = 0.1;
+	para.push_back(tmp_p);
+
+	tmp_p.mu_x = 0.22; tmp_p.mu_y = 0.66; tmp_p.sigma_x = 0.15; tmp_p.sigma_y = 0.12; tmp_p.rho = -0.2;
+	para.push_back(tmp_p);
+
 	sgd_float fx;
 	sgd_float x[2] = {0.25, 0.20};
 
 	sgd_para my_para = sgd_default_parameters();
-	my_para.iteration = 10000;
-	my_para.alpha = 0.01;
+	my_para.iteration = 20000;
 
-	int ret = sgd_solver(evaluate, progress, &fx, &x[0], 2, 1, &my_para, nullptr);
-	std::clog << "Adam return: " << sgd_error_str(ret) << std::endl;
-	std::clog << "fx = " << fx << std::endl;
-	std::clog << "model: " << x[0] << " " << x[1] << std::endl;
+	my_para.mu = 0.02;
 
+	my_para.alpha = 0.0008;
+	int ret = sgd_solver(evaluate, progress, &fx, &x[0], 2, 1, &my_para, nullptr, SGD_MOMENTUM);
+	std::clog << "Momentum return: " << sgd_error_str(ret);
+	if (ret > 0) std::clog << "\033[1m\033[32m Successed! \033[0m" << std::endl;
+	else std::clog << "\033[1m\033[31m Failed! \033[0m" << std::endl;
+	std::clog << "fx = " << fx << " ,initial step = " << my_para.alpha << std::endl;
+	std::clog << "model: " << x[0] << " " << x[1] << std::endl << std::endl;
+
+	my_para.alpha = 0.0005;
+	x[0] = 0.25; x[1] = 0.20;
+	ret = sgd_solver(evaluate, progress, &fx, &x[0], 2, 1, &my_para, nullptr, SGD_NAG);
+	std::clog << "NAG return: " << sgd_error_str(ret);
+	if (ret > 0) std::clog << "\033[1m\033[32m Successed! \033[0m" << std::endl;
+	else std::clog << "\033[1m\033[31m Failed! \033[0m" << std::endl;
+	std::clog << "fx = " << fx << " ,initial step = " << my_para.alpha << std::endl;
+	std::clog << "model: " << x[0] << " " << x[1] << std::endl << std::endl;
+
+	my_para.alpha = 0.3;
+	x[0] = 0.25; x[1] = 0.20;
+	ret = sgd_solver(evaluate, progress, &fx, &x[0], 2, 1, &my_para, nullptr, SGD_ADAGRAD);
+	std::clog << "Adagrad return: " << sgd_error_str(ret);
+	if (ret > 0) std::clog << "\033[1m\033[32m Successed! \033[0m" << std::endl;
+	else std::clog << "\033[1m\033[31m Failed! \033[0m" << std::endl;
+	std::clog << "fx = " << fx << " ,initial step = " << my_para.alpha << std::endl;
+	std::clog << "model: " << x[0] << " " << x[1] << std::endl << std::endl;
+
+	my_para.alpha = 0.05;
+	my_para.beta_2 = 0.95;
+	x[0] = 0.25; x[1] = 0.20;
+	ret = sgd_solver(evaluate, progress, &fx, &x[0], 2, 1, &my_para, nullptr, SGD_RMSPROP);
+	std::clog << "RMSProp return: " << sgd_error_str(ret);
+	if (ret > 0) std::clog << "\033[1m\033[32m Successed! \033[0m" << std::endl;
+	else std::clog << "\033[1m\033[31m Failed! \033[0m" << std::endl;
+	std::clog << "fx = " << fx << " ,initial step = " << my_para.alpha << std::endl;
+	std::clog << "model: " << x[0] << " " << x[1] << std::endl << std::endl;
+
+	my_para.alpha = 0.5;
+	my_para.beta_1 = 0.95;
+	x[0] = 0.25; x[1] = 0.20;
+	ret = sgd_solver(evaluate, progress, &fx, &x[0], 2, 1, &my_para, nullptr, SGD_ADAM);
+	std::clog << "Adam return: " << sgd_error_str(ret);
+	if (ret > 0) std::clog << "\033[1m\033[32m Successed! \033[0m" << std::endl;
+	else std::clog << "\033[1m\033[31m Failed! \033[0m" << std::endl;
+	std::clog << "fx = " << fx << " ,initial step = " << my_para.alpha << std::endl;
+	std::clog << "model: " << x[0] << " " << x[1] << std::endl << std::endl;
+
+	my_para.alpha = 0.053;
+	my_para.beta_1 = 0.9;
+	my_para.beta_2 = 0.95;
+	x[0] = 0.25; x[1] = 0.20;
+	ret = sgd_solver(evaluate, progress, &fx, &x[0], 2, 1, &my_para, nullptr, SGD_NADAM);
+	std::clog << "Nadam return: " << sgd_error_str(ret);
+	if (ret > 0) std::clog << "\033[1m\033[32m Successed! \033[0m" << std::endl;
+	else std::clog << "\033[1m\033[31m Failed! \033[0m" << std::endl;
+	std::clog << "fx = " << fx << " ,initial step = " << my_para.alpha << std::endl;
+	std::clog << "model: " << x[0] << " " << x[1] << std::endl << std::endl;
+
+	my_para.alpha = 0.5;
+	my_para.beta_1 = 0.9;
+	my_para.beta_2 = 0.999;
 	x[0] = 0.25; x[1] = 0.20;
 	ret = sgd_solver(evaluate, progress, &fx, &x[0], 2, 1, &my_para, nullptr, SGD_ADAMAX);
-	std::clog << "AdaMax return: " << sgd_error_str(ret) << std::endl;
-	std::clog << "fx = " << fx << std::endl;
-	std::clog << "model: " << x[0] << " " << x[1] << std::endl;
+	std::clog << "AdaMax return: " << sgd_error_str(ret);
+	if (ret > 0) std::clog << "\033[1m\033[32m Successed! \033[0m" << std::endl;
+	else std::clog << "\033[1m\033[31m Failed! \033[0m" << std::endl;
+	std::clog << "fx = " << fx << " ,initial step = " << my_para.alpha << std::endl;
+	std::clog << "model: " << x[0] << " " << x[1] << std::endl << std::endl;
 
+	my_para.alpha = 0.5;
+	my_para.beta_1 = 0.9;
+	my_para.beta_2 = 0.999;
 	x[0] = 0.25; x[1] = 0.20;
 	ret = sgd_solver(evaluate, progress, &fx, &x[0], 2, 1, &my_para, nullptr, SGD_ADABELIEF);
-	std::clog << "AdaBelief return: " << sgd_error_str(ret) << std::endl;
-	std::clog << "fx = " << fx << std::endl;
+	std::clog << "AdaBelief return: " << sgd_error_str(ret);
+	if (ret > 0) std::clog << "\033[1m\033[32m Successed! \033[0m" << std::endl;
+	else std::clog << "\033[1m\033[31m Failed! \033[0m" << std::endl;
+	std::clog << "fx = " << fx << " ,initial step = " << my_para.alpha << std::endl;
 	std::clog << "model: " << x[0] << " " << x[1] << std::endl;
 	return 0;
 }
\ No newline at end of file