%!PS-Adobe-3.0 EPSF-3.0
%%Title: sumsq.fig
%%Creator: fig2dev Version 3.2 Patchlevel 5d
%%CreationDate: Wed May 1 09:34:38 2013
%%BoundingBox: 0 0 445 256
%Magnification: 1.0000
%%EndComments
%%BeginProlog
/MyAppDict 100 dict dup begin def
/$F2psDict 200 dict def
$F2psDict begin
$F2psDict /mtrx matrix put
/col-1 {0 setgray} bind def
/col0 {0.000 0.000 0.000 srgb} bind def
/col1 {0.000 0.000 1.000 srgb} bind def
/col2 {0.000 1.000 0.000 srgb} bind def
/col3 {0.000 1.000 1.000 srgb} bind def
/col4 {1.000 0.000 0.000 srgb} bind def
/col5 {1.000 0.000 1.000 srgb} bind def
/col6 {1.000 1.000 0.000 srgb} bind def
/col7 {1.000 1.000 1.000 srgb} bind def
/col8 {0.000 0.000 0.560 srgb} bind def
/col9 {0.000 0.000 0.690 srgb} bind def
/col10 {0.000 0.000 0.820 srgb} bind def
/col11 {0.530 0.810 1.000 srgb} bind def
/col12 {0.000 0.560 0.000 srgb} bind def
/col13 {0.000 0.690 0.000 srgb} bind def
/col14 {0.000 0.820 0.000 srgb} bind def
/col15 {0.000 0.560 0.560 srgb} bind def
/col16 {0.000 0.690 0.690 srgb} bind def
/col17 {0.000 0.820 0.820 srgb} bind def
/col18 {0.560 0.000 0.000 srgb} bind def
/col19 {0.690 0.000 0.000 srgb} bind def
/col20 {0.820 0.000 0.000 srgb} bind def
/col21 {0.560 0.000 0.560 srgb} bind def
/col22 {0.690 0.000 0.690 srgb} bind def
/col23 {0.820 0.000 0.820 srgb} bind def
/col24 {0.500 0.190 0.000 srgb} bind def
/col25 {0.630 0.250 0.000 srgb} bind def
/col26 {0.750 0.380 0.000 srgb} bind def
/col27 {1.000 0.500 0.500 srgb} bind def
/col28 {1.000 0.630 0.630 srgb} bind def
/col29 {1.000 0.750 0.750 srgb} bind def
/col30 {1.000 0.880 0.880 srgb} bind def
/col31 {1.000 0.840 0.000 srgb} bind def
end
% This junk string is used by the show operators
/PATsstr 1 string def
/PATawidthshow { % cx cy cchar rx ry string
% Loop over each character in the string
{ % cx cy cchar rx ry char
% Show the character
dup % cx cy cchar rx ry char char
PATsstr dup 0 4 -1 roll put % cx cy cchar rx ry char (char)
false charpath % cx cy cchar rx ry char
/clip load PATdraw
% Move past the character (charpath modified the
% current point)
currentpoint % cx cy cchar rx ry char x y
newpath
moveto % cx cy cchar rx ry char
% Reposition by cx,cy if the character in the string is cchar
3 index eq { % cx cy cchar rx ry
4 index 4 index rmoveto
} if
% Reposition all characters by rx ry
2 copy rmoveto % cx cy cchar rx ry
} forall
pop pop pop pop pop % -
currentpoint
newpath
moveto
} bind def
/PATcg {
7 dict dup begin
/lw currentlinewidth def
/lc currentlinecap def
/lj currentlinejoin def
/ml currentmiterlimit def
/ds [ currentdash ] def
/cc [ currentrgbcolor ] def
/cm matrix currentmatrix def
end
} bind def
% PATdraw - calculates the boundaries of the object and
% fills it with the current pattern
/PATdraw { % proc
save exch
PATpcalc % proc nw nh px py
5 -1 roll exec % nw nh px py
newpath
PATfill % -
restore
} bind def
% PATfill - performs the tiling for the shape
/PATfill { % nw nh px py PATfill -
PATDict /CurrentPattern get dup begin
setfont
% Set the coordinate system to Pattern Space
PatternGState PATsg
% Set the color for uncolored pattezns
PaintType 2 eq { PATDict /PColor get PATsc } if
% Create the string for showing
3 index string % nw nh px py str
% Loop for each of the pattern sources
0 1 Multi 1 sub { % nw nh px py str source
% Move to the starting location
3 index 3 index % nw nh px py str source px py
moveto % nw nh px py str source
% For multiple sources, set the appropriate color
Multi 1 ne { dup PC exch get PATsc } if
% Set the appropriate string for the source
0 1 7 index 1 sub { 2 index exch 2 index put } for pop
% Loop over the number of vertical cells
3 index % nw nh px py str nh
{ % nw nh px py str
currentpoint % nw nh px py str cx cy
2 index oldshow % nw nh px py str cx cy
YStep add moveto % nw nh px py str
} repeat % nw nh px py str
} for
5 { pop } repeat
end
} bind def
% PATkshow - kshow with the current pattezn
/PATkshow { % proc string
exch bind % string proc
1 index 0 get % string proc char
% Loop over all but the last character in the string
0 1 4 index length 2 sub {
% string proc char idx
% Find the n+1th character in the string
3 index exch 1 add get % string proc char char+1
exch 2 copy % strinq proc char+1 char char+1 char
% Now show the nth character
PATsstr dup 0 4 -1 roll put % string proc chr+1 chr chr+1 (chr)
false charpath % string proc char+1 char char+1
/clip load PATdraw
% Move past the character (charpath modified the current point)
currentpoint newpath moveto
% Execute the user proc (should consume char and char+1)
mark 3 1 roll % string proc char+1 mark char char+1
4 index exec % string proc char+1 mark...
cleartomark % string proc char+1
} for
% Now display the last character
PATsstr dup 0 4 -1 roll put % string proc (char+1)
false charpath % string proc
/clip load PATdraw
neewath
pop pop % -
} bind def
% PATmp - the makepattern equivalent
/PATmp { % patdict patmtx PATmp patinstance
exch dup length 7 add % We will add 6 new entries plus 1 FID
dict copy % Create a new dictionary
begin
% Matrix to install when painting the pattern
TilingType PATtcalc
/PatternGState PATcg def
PatternGState /cm 3 -1 roll put
% Check for multi pattern sources (Level 1 fast color patterns)
currentdict /Multi known not { /Multi 1 def } if
% Font dictionary definitions
/FontType 3 def
% Create a dummy encoding vector
/Encoding 256 array def
3 string 0 1 255 {
Encoding exch dup 3 index cvs cvn put } for pop
/FontMatrix matrix def
/FontBBox BBox def
/BuildChar {
mark 3 1 roll % mark dict char
exch begin
Multi 1 ne {PaintData exch get}{pop} ifelse % mark [paintdata]
PaintType 2 eq Multi 1 ne or
{ XStep 0 FontBBox aload pop setcachedevice }
{ XStep 0 setcharwidth } ifelse
currentdict % mark [paintdata] dict
/PaintProc load % mark [paintdata] dict paintproc
end
gsave
false PATredef exec true PATredef
grestore
cleartomark % -
} bind def
currentdict
end % newdict
/foo exch % /foo newlict
definefont % newfont
} bind def
% PATpcalc - calculates the starting point and width/height
% of the tile fill for the shape
/PATpcalc { % - PATpcalc nw nh px py
PATDict /CurrentPattern get begin
gsave
% Set up the coordinate system to Pattern Space
% and lock down pattern
PatternGState /cm get setmatrix
BBox aload pop pop pop translate
% Determine the bounding box of the shape
pathbbox % llx lly urx ury
grestore
% Determine (nw, nh) the # of cells to paint width and height
PatHeight div ceiling % llx lly urx qh
4 1 roll % qh llx lly urx
PatWidth div ceiling % qh llx lly qw
4 1 roll % qw qh llx lly
PatHeight div floor % qw qh llx ph
4 1 roll % ph qw qh llx
PatWidth div floor % ph qw qh pw
4 1 roll % pw ph qw qh
2 index sub cvi abs % pw ph qs qh-ph
exch 3 index sub cvi abs exch % pw ph nw=qw-pw nh=qh-ph
% Determine the starting point of the pattern fill
%(px, py)
4 2 roll % nw nh pw ph
PatHeight mul % nw nh pw py
exch % nw nh py pw
PatWidth mul exch % nw nh px py
end
} bind def
% Save the original routines so that we can use them later on
/oldfill /fill load def
/oldeofill /eofill load def
/oldstroke /stroke load def
/oldshow /show load def
/oldashow /ashow load def
/oldwidthshow /widthshow load def
/oldawidthshow /awidthshow load def
/oldkshow /kshow load def
% These defs are necessary so that subsequent procs don't bind in
% the originals
/fill { oldfill } bind def
/eofill { oldeofill } bind def
/stroke { oldstroke } bind def
/show { oldshow } bind def
/ashow { oldashow } bind def
/widthshow { oldwidthshow } bind def
/awidthshow { oldawidthshow } bind def
/kshow { oldkshow } bind def
/PATredef {
MyAppDict begin
{
/fill { /clip load PATdraw newpath } bind def
/eofill { /eoclip load PATdraw newpath } bind def
/stroke { PATstroke } bind def
/show { 0 0 null 0 0 6 -1 roll PATawidthshow } bind def
/ashow { 0 0 null 6 3 roll PATawidthshow }
bind def
/widthshow { 0 0 3 -1 roll PATawidthshow }
bind def
/awidthshow { PATawidthshow } bind def
/kshow { PATkshow } bind def
} {
/fill { oldfill } bind def
/eofill { oldeofill } bind def
/stroke { oldstroke } bind def
/show { oldshow } bind def
/ashow { oldashow } bind def
/widthshow { oldwidthshow } bind def
/awidthshow { oldawidthshow } bind def
/kshow { oldkshow } bind def
} ifelse
end
} bind def
false PATredef
% Conditionally define setcmykcolor if not available
/setcmykcolor where { pop } {
/setcmykcolor {
1 sub 4 1 roll
3 {
3 index add neg dup 0 lt { pop 0 } if 3 1 roll
} repeat
setrgbcolor - pop
} bind def
} ifelse
/PATsc { % colorarray
aload length % c1 ... cn length
dup 1 eq { pop setgray } { 3 eq { setrgbcolor } { setcmykcolor
} ifelse } ifelse
} bind def
/PATsg { % dict
begin
lw setlinewidth
lc setlinecap
lj setlinejoin
ml setmiterlimit
ds aload pop setdash
cc aload pop setrgbcolor
cm setmatrix
end
} bind def
/PATDict 3 dict def
/PATsp {
true PATredef
PATDict begin
/CurrentPattern exch def
% If it's an uncolored pattern, save the color
CurrentPattern /PaintType get 2 eq {
/PColor exch def
} if
/CColor [ currentrgbcolor ] def
end
} bind def
% PATstroke - stroke with the current pattern
/PATstroke {
countdictstack
save
mark
{
currentpoint strokepath moveto
PATpcalc % proc nw nh px py
clip newpath PATfill
} stopped {
(*** PATstroke Warning: Path is too complex, stroking
with gray) =
cleartomark
restore
countdictstack exch sub dup 0 gt
{ { end } repeat } { pop } ifelse
gsave 0.5 setgray oldstroke grestore
} { pop restore pop } ifelse
newpath
} bind def
/PATtcalc { % modmtx tilingtype PATtcalc tilematrix
% Note: tiling types 2 and 3 are not supported
gsave
exch concat % tilingtype
matrix currentmatrix exch % cmtx tilingtype
% Tiling type 1 and 3: constant spacing
2 ne {
% Distort the pattern so that it occupies
% an integral number of device pixels
dup 4 get exch dup 5 get exch % tx ty cmtx
XStep 0 dtransform
round exch round exch % tx ty cmtx dx.x dx.y
XStep div exch XStep div exch % tx ty cmtx a b
0 YStep dtransform
round exch round exch % tx ty cmtx a b dy.x dy.y
YStep div exch YStep div exch % tx ty cmtx a b c d
7 -3 roll astore % { a b c d tx ty }
} if
grestore
} bind def
/PATusp {
false PATredef
PATDict begin
CColor PATsc
end
} bind def
% right30
11 dict begin
/PaintType 1 def
/PatternType 1 def
/TilingType 1 def
/BBox [0 0 1 1] def
/XStep 1 def
/YStep 1 def
/PatWidth 1 def
/PatHeight 1 def
/Multi 2 def
/PaintData [
{ clippath } bind
{ 32 16 true [ 32 0 0 -16 0 16 ]
{<00030003000c000c0030003000c000c0030003000c000c00
30003000c000c00000030003000c000c0030003000c000c0
030003000c000c0030003000c000c000>}
imagemask } bind
] def
/PaintProc {
pop
exec fill
} def
currentdict
end
/P2 exch def
/cp {closepath} bind def
/ef {eofill} bind def
/gr {grestore} bind def
/gs {gsave} bind def
/sa {save} bind def
/rs {restore} bind def
/l {lineto} bind def
/m {moveto} bind def
/rm {rmoveto} bind def
/n {newpath} bind def
/s {stroke} bind def
/sh {show} bind def
/slc {setlinecap} bind def
/slj {setlinejoin} bind def
/slw {setlinewidth} bind def
/srgb {setrgbcolor} bind def
/rot {rotate} bind def
/sc {scale} bind def
/sd {setdash} bind def
/ff {findfont} bind def
/sf {setfont} bind def
/scf {scalefont} bind def
/sw {stringwidth} bind def
/tr {translate} bind def
/tnt {dup dup currentrgbcolor
4 -2 roll dup 1 exch sub 3 -1 roll mul add
4 -2 roll dup 1 exch sub 3 -1 roll mul add
4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb}
bind def
/shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul
4 -2 roll mul srgb} bind def
/$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def
/$F2psEnd {$F2psEnteredState restore end} def
/pageheader {
save
newpath 0 256 moveto 0 0 lineto 445 0 lineto 445 256 lineto closepath clip newpath
-13.2 259.5 translate
1 -1 scale
$F2psBegin
10 setmiterlimit
0 slj 0 slc
0.06299 0.06299 sc
} bind def
/pagefooter {
$F2psEnd
restore
} bind def
%%EndProlog
pageheader
%
% Fig objects follow
%
%
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% here ends figure;
pagefooter
showpage
%%Trailer
end
%EOF
