Commit 7b840a67 authored by Tilman Steinweg's avatar Tilman Steinweg
Browse files

several changes in documentation.

changed the eps figures to pdf (pdflatex should be used now)
Removed outdated and wrong parts in doc.
For example in section grid-dispersion a derivation at x=1/2 instead of x=0 was written.
I also cleaned up a little.
parent 8336573c
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%!PS-Adobe-2.0 EPSF-2.0
%%Title: grid.fig
%%Creator: fig2dev Version 3.2 Patchlevel 4
%%CreationDate: Fri Jul 29 17:02:44 2005
%%For: tbohlen@linux (Thomas Bohlen)
%%BoundingBox: 0 0 605 437
%%Magnification: 1.0000
%%EndComments
/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
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/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
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/col14 {0.000 0.820 0.000 srgb} bind def
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end
save
newpath 0 437 moveto 0 0 lineto 605 0 lineto 605 437 lineto closepath clip newpath
-79.4 511.0 translate
1 -1 scale
% 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
% this is the pattern fill program from the Second edition Reference Manual
% with changes to call the above pattern fill
% left30
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 ]
{<c000c000300030000c000c000300030000c000c000300030
000c000c00030003c000c000300030000c000c0003000300
00c000c000300030000c000c00030003>}
imagemask } bind
] def
/PaintProc {
pop
exec fill
} def
currentdict
end
/P1 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
$F2psBegin
10 setmiterlimit
0 slj 0 slc
0.06299 0.06299 sc
%
% Fig objects follow
%
%
% here starts figure with depth 80
% Polyline
7.500 slw
n 6567 2337 m 6852 2337 l 6710 2622 l
cp gs col7 1.00 shd ef gr gs col0 s gr
% Polyline
n 7062 2337 m 7347 2337 l 7205 2622 l
cp gs col7 1.00 shd ef gr gs col0 s gr
% Polyline
n 7557 2337 m 7842 2337 l 7700 2622 l
cp gs col7 1.00 shd ef gr gs col0 s gr
% Polyline
n 8007 2337 m 8292 2337 l 8150 2622 l
cp gs col7 1.00 shd ef gr gs col0 s gr
% Polyline
n 8457 2337 m 8742 2337 l 8600 2622 l
cp gs col7 1.00 shd ef gr gs col0 s gr
% Polyline
n 8907 2337 m 9192 2337 l 9050 2622 l
cp gs col7 1.00 shd ef gr gs col0 s gr
% Polyline
n 9402 2337 m 9687 2337 l 9545 2622 l
cp gs col7 1.00 shd ef gr gs col0 s gr
% here ends figure;
%
% here starts figure with depth 50
% Polyline
7.500 slw
n 1800 1800 m 10800 1800 l 10800 8100 l 1800 8100 l
cp gs col0 s gr
% Polyline
[60] 0 sd
n 4050 1800 m
4050 8100 l gs col0 s gr [] 0 sd
% Polyline
[60] 0 sd
n 6300 1800 m
6300 8100 l gs col0 s gr [] 0 sd
% Polyline
[60] 0 sd
n 8550 1800 m
8550 8100 l gs col0 s gr [] 0 sd
% Polyline
[60] 0 sd
n 1800 4950 m
10800 4950 l gs col0 s gr [] 0 sd
% Polyline
45.000 slw
n 1800 1800 m
10800 1800 l gs col0 s gr
% Polyline
7.500 slw
n 1800 7650 m 10800 7650 l 10800 8100 l 1800 8100 l
cp gs /PC [[1.00 1.00 1.00] [0.00 0.00 0.00]] def
15.00 15.00 sc P1 [16 0 0 -8 120.00 510.00] PATmp PATsp ef gr PATusp gs col0 s gr
% Polyline
n 10350 1800 m 10800 1800 l 10800 8100 l 10350 8100 l
cp gs /PC [[1.00 1.00 1.00] [0.00 0.00 0.00]] def
15.00 15.00 sc P1 [16 0 0 -8 690.00 120.00] PATmp PATsp ef gr PATusp gs col0 s gr
% Polyline
n 1800 1800 m 2250 1800 l 2250 8100 l 1800 8100 l
cp gs /PC [[1.00 1.00 1.00] [0.00 0.00 0.00]] def
15.00 15.00 sc P1 [16 0 0 -8 120.00 120.00] PATmp PATsp ef gr PATusp gs col0 s gr
% Polyline
15.000 slw
gs clippath
2850 1312 m 2850 1207 l 2661 1207 l 2811 1260 l 2661 1312 l cp
eoclip
n 1485 1260 m
2835 1260 l gs col0 s gr gr
% arrowhead
n 2661 1312 m 2811 1260 l 2661 1207 l col0 s
% Polyline
gs clippath
1432 2625 m 1537 2625 l 1537 2436 l 1485 2586 l 1432 2436 l cp
eoclip
n 1485 1260 m
1485 2610 l gs col0 s gr gr
% arrowhead
n 1432 2436 m 1485 2586 l 1537 2436 l col0 s
/Times-Roman ff 240.00 scf sf
5490 1710 m
gs 1 -1 sc (free surface) col0 sh gr
/Times-Roman ff 240.00 scf sf
10485 1665 m
gs 1 -1 sc (NX) col0 sh gr
/Times-Roman ff 240.00 scf sf
1260 8100 m
gs 1 -1 sc (NY) col0 sh gr
/Times-Roman ff 240.00 scf sf
2655 3600 m
gs 1 -1 sc (PE 0) col0 sh gr
/Times-Roman ff 240.00 scf sf
4905 3600 m
gs 1 -1 sc (PE 1) col0 sh gr
/Times-Roman ff 240.00 scf sf
7155 3600 m
gs 1 -1 sc (PE 2) col0 sh gr
/Times-Roman ff 240.00 scf sf
9405 3600 m
gs 1 -1 sc (PE 3) col0 sh gr
/Times-Roman ff 240.00 scf sf
2655 6300 m
gs 1 -1 sc (PE 4) col0 sh gr
/Times-Roman ff 240.00 scf sf
4905 6300 m