%!PS-Adobe-2.0
%%Creator: dvips(k) 5.98 Copyright 2009 Radical Eye Software
%%Title: mchrzasz.dvi
%%CreationDate: Thu Aug 7 23:35:59 2014
%%Pages: 1
%%PageOrder: Ascend
%%BoundingBox: 0 0 363 273
%%EndComments
%DVIPSWebPage: (www.radicaleye.com)
%DVIPSCommandLine: dvips -o mchrzasz.ps mchrzasz.dvi
%DVIPSParameters: dpi=600
%DVIPSSource: TeX output 2014.08.07:2335
%%BeginProcSet: tex.pro 0 0
%!
/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S
N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72
mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0
0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{
landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize
mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[
matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round
exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{
statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0]
N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin
/FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array
/BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2
array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N
df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A
definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get
}B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub}
B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr
1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S
/BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy
setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask
restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn
/BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put
}if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{
bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A
mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{
SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{
userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X
1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4
index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N
/p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{
/Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT)
(LaserWriter 16/600)]{A length product length le{A length product exch 0
exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse
end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask
grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot}
imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round
exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto
fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p
delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M}
B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{
p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S
rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end
%%EndProcSet
%%BeginProcSet: pstricks.pro 0 0
% $Id: pstricks.pro 90 2009-01-30 10:58:51Z herbert $
%
%% PostScript prologue for pstricks.tex.
%% Version 1.06, 2009/01/30
%%
%% This program can be redistributed and/or modified under the terms
%% of the LaTeX Project Public License Distributed from CTAN archives
%% in directory macros/latex/base/lppl.txt.
%
%
% Define the follwing gs-functions if not known, eg when using distiller
%
systemdict /.setopacityalpha known not {/.setopacityalpha { pop } def } if
systemdict /.setblendmode known not {/.setblendmode { pop } def } if
systemdict /.setshapealpha known not {/.setshapealpha { pop } def } if
%
/tx@Dict 200 dict def % the main PSTricks dictionary
tx@Dict begin
/ADict 25 dict def % The arrow dictionaray
/CM { matrix currentmatrix } bind def
/SLW /setlinewidth load def
/CLW /currentlinewidth load def
/CP /currentpoint load def
/ED { exch def } bind def
/L /lineto load def
/T /translate load def
/TMatrix { } def
/RAngle { 0 } def
/Sqrt { dup 0 lt { pop 0 } { sqrt } ifelse } def % return 0 for negative arguments
/Atan { /atan load stopped { pop pop 0 } if } def % return 0 if atan not known
/ATAN1 {neg -1 atan 180 sub } def % atan(x) (only one parameter)
/Div { dup 0 eq { pop } { div } ifelse } def % control the division
/tan { dup cos abs 1.e-10 lt
{ pop 1.e10 } % return 1.e10 as infinit
{ dup sin exch cos div } ifelse % default sin/cos
} def
/Tan { dup sin exch cos Div } def % sin(x)/cos(x) x in degrees
/Acos {dup dup mul neg 1 add dup 0 lt { % arc cos, returns 0 when negative root
pop pop 0 }{ sqrt exch atan} ifelse } def
/NET { neg exch neg exch T } def % change coordinate system to the negative one
/Pyth { dup mul exch dup mul add sqrt } def % Pythagoras, expects 2 parameter
/Pyth2 { % Pythagoras, xA yA xB yB
3 -1 roll % xA xB yB yA
sub % xA xB yB-yA
3 1 roll % yB-yA xA xB
sub % yB-yA xA-xB
Pyth } def
/PtoC { 2 copy cos mul 3 1 roll sin mul } def % Polar to Cartesian
/Rand { rand 4294967295 div } def % a real random number
%----------------- hv added 20050516 ---------------
/PiDiv2 1.57079632680 def
/Pi 3.14159265359 def
/TwoPi 6.28318530718 def
/Euler 2.71828182846 def
%/e Euler bind def
%
/RadtoDeg { 180 mul Pi div } bind def % convert from radian to degrees
/DegtoRad { Pi mul 180 div } bind def % viceversa
%----------------- hv end---------------------------
/PathLength@ { /z z y y1 sub x x1 sub Pyth add def /y1 y def /x1 x def } def
%
/PathLength {
flattenpath /z 0 def
{ /y1 ED /x1 ED /y2 y1 def /x2 x1 def }
{ /y ED /x ED PathLength@ }
{}
{ /y y2 def /x x2 def PathLength@ }
/pathforall load stopped { pop pop pop pop } if
z
} def
%
/STP { .996264 dup scale } def % BP/PT scaling
/STV { SDict begin normalscale end STP } def %
%
%%-------------- DG begin patch 15 ---------------%%
%/DashLine { dup 0 gt { /a .5 def PathLength exch div } { pop /a 1 def
%PathLength } ifelse /b ED /x ED /y ED /z y x add def b a .5 sub 2 mul y
%mul sub z Div round z mul a .5 sub 2 mul y mul add b exch Div dup y mul
%/y ED x mul /x ED x 0 gt y 0 gt and { [ y x ] 1 a sub y mul } { [ 1 0 ]
%0 } ifelse setdash stroke } def
/DashLine {
dup 0 gt { /a .5 def PathLength exch div } { pop /a 1 def PathLength } ifelse
/b ED /x1 ED /y1 ED /x ED /y ED
/z y x add y1 add x1 add def
/Coef b a .5 sub 2 mul y mul sub z Div round
z mul a .5 sub 2 mul y mul add b exch Div def
/y y Coef mul def
/x x Coef mul def
/y1 y1 Coef mul def
/x1 x1 Coef mul def
x1 0 gt y1 0 gt or x 0 gt or y 0 gt and
{ [ y x y1 x1 ] 1 a sub y mul }
{ [ 1 0 ] 0 } ifelse
setdash stroke
} def
%%-------------- DG end patch 15 ---------------%%
/DotLine {
/b PathLength def
/a ED /z ED /y CLW def
/z y z add def
a 0 gt {
/b b a div def
}{
a 0 eq {
/b b y sub def
}{ a -3 eq {
/b b y add def } if
} ifelse
} ifelse
[ 0 b b z Div round Div dup 0 le { pop 1 } if ]
a 0 gt { 0 }{ y 2 div a -2 gt { neg }if } ifelse
setdash 1 setlinecap stroke
} def
%
/LineFill { % hv ------------ patch 7 -------------
gsave
abs /hatchWidthInc ED
abs /hatchSepInc ED
abs CLW add /a ED
a 0 dtransform round exch round exch
2 copy idtransform
exch Atan rotate
idtransform pop /a ED
.25 .25 itransform pathbbox
/y2 ED
a Div ceiling cvi /x2 ED /y1 ED
a Div cvi /x1 ED /y2 y2 y1 sub def
clip
newpath
2 setlinecap
systemdict
/setstrokeadjust known { true setstrokeadjust } if
x2 x1 sub 1 add {
x1 a mul y1 moveto 0 y2 rlineto stroke
/x1 x1 1 add
hatchWidthInc 0 gt { CLW add } if
def
hatchSepInc 0 gt hatchWidthInc 0 gt or {
/a a hatchSepInc add def
CLW hatchWidthInc add SLW
} if
} repeat
grestore
pop pop } def
%
/PenroseFill {% on stack: scaling factor
dup dup scale
1 exch div round /penroseFactor ED
a 0 dtransform round exch round exch
2 copy idtransform
exch Atan rotate
idtransform pop /a ED
.25 .25 itransform pathbbox
/y2 ED
a Div ceiling cvi /x2 ED /y1 ED
a Div cvi /x1 ED /y2 y2 y1 sub def
clip
newpath
systemdict
/setstrokeadjust known { true setstrokeadjust } if
/I/S/L/W/G/+/Z/F/E/D[/def/exch/for{E D}/add{s E get mul}
{ Z -36.2001 1 33 }{25 E S rlineto}{/q Z dup q G E q 1 + G}{Z 2 2}]{cvx def}forall
[0 72 1008 {dup sin E cos }F ]1 setlinejoin/s W{/a W{/b I 10{/i I 4{/m I moveto
i m +/j I 10{/l Z b m l + G a l G sub s m get div .2 + floor .3 + 25
mul j l + S rmoveto}F i L j L stroke }F}F}F}F
grestore
pop pop
} def
%
%gsave abs CLW add /a ED a 0 dtransform round exch round exch
%2 copy idtransform exch Atan rotate idtransform pop /a ED .25 .25
%% DG/SR modification begin - Dec. 12, 1997 - Patch 2
%%itransform translate pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a
%itransform pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a
%% DG/SR modification end
%Div cvi /x1 ED /y2 y2 y1 sub def clip newpath 2 setlinecap systemdict
%/setstrokeadjust known { true setstrokeadjust } if x2 x1 sub 1 add { x1
%% DG/SR modification begin - Jun. 1, 1998 - Patch 3 (from Michael Vulis)
%% a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add def } repeat grestore }
%% def
%a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add def } repeat grestore
%pop pop } def
%% DG/SR modification end
%
/BeginArrow {
ADict begin % hold it local, for end see EndArrow
/@mtrx CM def
gsave
2 copy T
2 index sub neg exch
3 index sub exch Atan
rotate newpath
} def
%
/EndArrow { @mtrx setmatrix CP grestore end } def % end the ADict
%
/Arrow {
CLW mul add dup
2 div /w ED
mul dup /h ED
mul /a ED
{ 0 h T 1 -1 scale } if
w neg h moveto
0 0 L w h L w neg a neg rlineto
gsave fill grestore
} def
%
/ArrowD { % the sides are drawn as curves (hv 20071211)
CLW mul add dup
2 div /w ED
mul dup /h ED
mul /Inset ED
{ 0 h T 1 -1 scale } if % changes the direction
% we use y=w/h^2 * x^2 as equation for the control points
% for the coordinates the arrow is seen from top to bottom
% the bottom (tip) is (0;0)
w neg h moveto % lower left of >
w 9 div 4 mul neg h 3 div 2 mul
w 9 div neg h 3 div
0 0 curveto % tip of >
w 9 div h 3 div
w 9 div 4 mul h 3 div 2 mul
w h curveto % upper left of >
w neg Inset neg rlineto % move to x=0 and inset
gsave fill grestore
} def
%
/Tbar {
CLW mul add /z ED
z -2 div CLW 2 div moveto
z 0 rlineto stroke
0 CLW moveto
} def
%
/Bracket {
CLW mul add dup CLW sub 2 div
/x ED mul CLW add /y ED /z CLW 2 div def
x neg y moveto
x neg CLW 2 div L x CLW 2 div L x y L stroke
0 CLW moveto
} def
%
/RoundBracket {
CLW mul add dup 2 div
/x ED mul /y ED /mtrx CM def
0 CLW 2 div T x y mul 0 ne { x y scale } if
1 1 moveto
.85 .5 .35 0 0 0 curveto
-.35 0 -.85 .5 -1 1 curveto
mtrx setmatrix stroke 0 CLW moveto
} def
%
/SD { 0 360 arc fill } def
%
/EndDot { % DS is the dot size
{ /z DS def } { /z 0 def } ifelse
/b ED 0 z DS SD b { 0 z DS CLW sub SD } if
0 DS z add CLW 4 div sub moveto } def
%
/Shadow { [ { /moveto load } { /lineto load } { /curveto load } {
/closepath load } /pathforall load stopped { pop pop pop pop CP /moveto
load } if ] cvx newpath 3 1 roll T exec } def
%
%/NArray {
% aload length 2 div dup dup cvi eq not { exch pop } if /n exch
% cvi def
%} def
%
/NArray { % holds the coordinates and on top of stack the showpoints boolean
/showpoints ED
counttomark 2 div dup cvi /n ED
n eq not { exch pop } if
showpoints { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse
} def
%
/Line {
NArray n 0 eq not
{ n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def
n { Lineto } repeat
CP 4 2 roll ArrowB L pop pop
} if
} def
%
/Arcto {
/a [ 6 -2 roll ] cvx def
a r
/arcto load stopped { 5 } { 4 } ifelse { pop } repeat
a
} def
%
/CheckClosed { dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq
and { pop pop /n n 1 sub def } if } def
/Polygon { NArray n 2 eq { 0 0 /n 3 def } if n 3 lt { n { pop pop }
repeat } { n 3 gt { CheckClosed } if n 2 mul -2 roll /y0 ED /x0 ED /y1
ED /x1 ED x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1
moveto /n n 2 sub def n { Lineto } repeat x1 y1 x0 y0 6 4 roll Lineto
Lineto pop pop closepath } ifelse } def
/Diamond {
/mtrx CM def
T rotate
/h ED
/w ED
dup 0 eq { pop } { CLW mul neg
/d ED
/a w h Atan def
/h d a sin Div h add def
/w d a cos Div w add def } ifelse
mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 div
/ArrowA { moveto } def
/ArrowB { } def
false Line
closepath mtrx setmatrix } def
% DG modification begin - Jan. 15, 1997
%/Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup 0 eq {
%pop } { CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2
%div dup cos exch sin Div mul sub def } ifelse mark 0 d w neg d 0 h w d 0
%d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx
%setmatrix } def
%
/Triangle {
/mtrx CM def
translate
rotate /h ED 2 div /w ED
dup CLW mul /d ED
/h h d w h Atan sin Div sub def
/w w d h w Atan 2 div dup cos exch sin Div mul sub def
mark
0 d w neg d 0 h w d 0 d
/ArrowA { moveto } def
/ArrowB { } def
false
Line
closepath
mtrx
% DG/SR modification begin - Jun. 1, 1998 - Patch 3 (from Michael Vulis)
% setmatrix } def
setmatrix pop
} def
% DG/SR modification end
%
/CCA {
/y ED /x ED
2 copy y sub /dy1 ED
x sub /dx1 ED
/l1 dx1 dy1 Pyth def
} def
%
/CC {
/l0 l1 def
/x1 x dx sub def
/y1 y dy sub def
/dx0 dx1 def
/dy0 dy1 def
CCA
/dx dx0 l1 c exp mul dx1 l0 c exp mul add def
/dy dy0 l1 c exp mul dy1 l0 c exp mul add def
/m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos abs b exp a mul dx dy Pyth Div 2 div def
/x2 x l0 dx mul m mul sub def
/y2 y l0 dy mul m mul sub def
/dx l1 dx mul m mul neg def
/dy l1 dy mul m mul neg def
} def
%
/IC {
/c c 1 add def
c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse
/a a 2 mul 3 div 45 cos b exp div def
CCA
/dx 0 def
/dy 0 def
} def
%
/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def
/NC { CC x1 y1 x2 y2 x y curveto } def
/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def
/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def
/NAC { x2 y2 x y curveto CC x1 y1 } def
/EAC { x2 y2 x y ArrowB curveto pop pop } def
%
/OpenCurve {
NArray n 3 lt
{ n { pop pop } repeat }
{ BOC /n n 3 sub def n { NC } repeat EOC } ifelse
} def
%
/AltCurve {
{ false NArray n 2 mul 2 roll
[ n 2 mul 3 sub 1 roll ] aload
/Points ED
n 2 mul -2 roll }
{ false NArray } ifelse
n 4 lt { n { pop pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse
} def
%
/ClosedCurve {
NArray n 3 lt
{ n { pop pop } repeat }
{ n 3 gt { CheckClosed } if
6 copy n 2 mul 6 add 6 roll
IC CC x y moveto n { NC } repeat
closepath pop pop
} ifelse
} def
%
/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def
/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def
/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore } def
%
/FontDot {
DS 2 mul dup
matrix scale matrix concatmatrix exch matrix
rotate matrix concatmatrix exch
findfont exch makefont setfont
} def
%
/Rect {
x1 y1 y2 add 2 div moveto
x1 y2 lineto
x2 y2 lineto
x2 y1 lineto
x1 y1 lineto
closepath
} def
%
/OvalFrame {
x1 x2 eq y1 y2 eq or
{ pop pop x1 y1 moveto x2 y2 L }
{ y1 y2 sub abs x1 x2 sub abs 2 copy gt
{ exch pop } { pop } ifelse
2 div exch { dup 3 1 roll mul exch } if
2 copy lt { pop } { exch pop } ifelse
/b ED
x1 y1 y2 add 2 div moveto
x1 y2 x2 y2 b arcto
x2 y2 x2 y1 b arcto
x2 y1 x1 y1 b arcto
x1 y1 x1 y2 b arcto
16 { pop } repeat
closepath
} ifelse
} def
%
/Frame {
CLW mul /a ED
3 -1 roll
2 copy gt { exch } if
a sub /y2 ED
a add /y1 ED
2 copy gt { exch } if
a sub /x2 ED
a add /x1 ED
1 index 0 eq { pop pop Rect } { OvalFrame } ifelse
} def
%
/BezierNArray {
/f ED
counttomark 2 div dup cvi /n ED
n eq not { exch pop } if
n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat
f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse
} def
%
/OpenBezier {
BezierNArray
n 1 eq
{ pop pop }
{ ArrowA n 4 sub 3 idiv
{ 6 2 roll 4 2 roll curveto } repeat
6 2 roll 4 2 roll ArrowB curveto } ifelse
} def
%
/ClosedBezier {
BezierNArray
n 1 eq
{ pop pop }
{ moveto n 1 sub 3 idiv
{ 6 2 roll 4 2 roll curveto } repeat
closepath } ifelse
} def
%
/BezierShowPoints {
gsave
Points aload length 2 div cvi /n ED
moveto
n 1 sub { lineto } repeat
CLW 2 div SLW [ 4 4 ] 0 setdash stroke
grestore
} def
%
/Parab {
/y0 ED /x0 ED /y1 ED /x1 ED
/dx x0 x1 sub 3 div def
/dy y0 y1 sub 3 div def
x0 dx sub y0 dy add x1 y1 ArrowA
x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB
curveto
/Points [ x1 y1 x0 y0 x0 2 mul x1 sub y1 ] def
} def
%
/Grid {
newpath
/a 4 string def
/b ED /c ED /n ED
cvi dup 1 lt { pop 1 } if
/s ED
s div dup 0 eq { pop 1 } if
/dy ED s div dup 0 eq { pop 1 } if
/dx ED dy div round dy mul
/y0 ED dx div round dx mul
/x0 ED dy div round cvi
/y2 ED dx div round cvi
/x2 ED dy div round cvi
/y1 ED dx div round cvi
/x1 ED
/h y2 y1 sub 0 gt { 1 } { -1 } ifelse def
/w x2 x1 sub 0 gt { 1 } { -1 } ifelse def
b 0 gt {
/z1 b 4 div CLW 2 div add def
% /Helvetica findfont b scalefont setfont
/b b .95 mul CLW 2 div add def } if
systemdict /setstrokeadjust known
{ true setstrokeadjust /t { } def }
{ /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add
exch itransform } bind def } ifelse
gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse
/i x1 def
/f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def
/g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def
x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if
{ i dx mul dup y0 moveto
b 0 gt
{ gsave c i a cvs dup stringwidth pop
/z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse
h 0 gt {b neg}{z1} ifelse
rmoveto show grestore } if
dup t f moveto
g t L stroke
/i i w add def
} repeat
grestore
gsave
n 0 gt
% DG/SR modification begin - Nov. 7, 1997 - Patch 1
%{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash }
{ 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash }
% DG/SR modification end
{ 2 setlinecap } ifelse
/i y1 def
/f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def
/g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def
y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if
{ newpath i dy mul dup x0 exch moveto
b 0 gt { gsave c i a cvs dup stringwidth pop
/z2 ED
w 0 gt {z1 z2 add neg} {z1} ifelse
h 0 gt {z1} {b neg} ifelse
rmoveto show grestore } if
dup f exch t moveto
g exch t L stroke
/i i h add def
} repeat
grestore
} def
%
/ArcArrow {
/d ED /b ED /a ED
gsave
newpath 0 -1000 moveto clip
newpath
0 1 0 0 b
grestore
c mul
/e ED
pop pop pop r a e d PtoC y add exch x add
exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c
mul neg d
} def
%
/Ellipse { /mtrx CM def T scale 0 0 1 5 3 roll arc mtrx setmatrix } def
%
/ArcAdjust { %%%% Vincent Guirardel
% given a target length (targetLength) and an initial angle (angle0) [in the stack],
% let M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0).
% This computes an angle t such that (x0,y0) is at distance
% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)).
% NOTE: this an absolute angle, it does not have to be added or substracted to angle0
% contrary to TvZ's code.
% To achieve, this, one iterates the following process: start with some angle t,
% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)].
% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned.
%
% Another difference with TvZ's code is that we need d (=add/sub) to be defined.
% the value of d = add/sub is used to know on which side we have to move.
% It is only used in the initialisation of the angle before the iteration.
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Input stack: 1: target length 2: initial angle
% variables used : rx, ry, d (=add/sub)
%
/targetLength ED /angle0 ED
/x0 rx angle0 cos mul def
/y0 ry angle0 sin mul def
% we are looking for an angle t such that (x0,y0) is at distance targetLength
% from the point M(t)=(rx*cos(t),ry*sin(t)))
%initialisation of angle (using 1st order approx = TvZ's code)
targetLength 57.2958 mul
angle0 sin rx mul dup mul
angle0 cos ry mul dup mul
add sqrt div
% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees
% (if the ellipse is very curved at the point where we draw the arrow, %
% the value can be much more than 360 degrees !)
% this should avoid going on the wrong side (more than 180 degrees) or go near
% a bad attractive point (at 180 degrees)
dup 90 ge { pop 90 } if
angle0 exch d % add or sub
% maximum number of times to iterate the iterative procedure:
% iterative procedure: takes an angle t on top of stack, computes a
% better angle (and put it on top of stack)
30 { dup
% compute distance D between (x0,y0) and M(t)
dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt
% if D almost equals targetLength, we stop
dup targetLength sub abs 1e-5 le { pop exit } if
% stack now contains D t
% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]:
% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 )
exch dup cos rx mul x0 sub exch sin ry mul y0 sub
% stack contains: y(t)-y0, x(t)-x0, d
2 index Div targetLength mul y0 add ry Div exch
2 index Div targetLength mul x0 add rx Div
% stack contains x(t')/rx , y(t')/ry , d
% now compute t', and remove D from stack
atan exch pop
} repeat
% we don't look at what happened... in particular, if targetLength is greater
% than the diameter of the ellipse...
% the final angle will be around /angle0 + 180. maybe we should treat this pathological case...
% after iteration, stack contains an angle t such that M(t) is the tail of the arrow
% to give back the result as a an angle relative to angle0 we could add the following line:
% angle0 sub 0 exch d
%
% begin bug fix 2006-01-11
% we want to adjust the new angle t' by a multiple of 360 so that | t'-angle0 | <= 180
%(we don't want to make the ellipse turn more or less than it should)...
dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse
% end bug fix
} def
%
/EllipticArcArrow {
/d ED % is add or sub
/b ED % arrow procedure
/a1 ED % angle
gsave
newpath
0 -1000 moveto
clip % Set clippath far from arrow.
newpath
0 1 0 0 b % Draw arrow to determine length.
grestore
% Length of arrow is on top of stack. Next 3 numbers are junk.
%
a1 exch ArcAdjust % Angular position of base of arrow.
/a2 ED
pop pop pop
a2 cos rx mul xOrig add % hv 2007-08-29 x->xOrig
a2 sin ry mul yOrig add % hv 2007-08-29 y->yOrig
a1 cos rx mul xOrig add %
a1 sin ry mul yOrig add %
% Now arrow tip coor and base coor are on stack.
b pop pop pop pop % Draw arrow, and discard coordinates.
a2 CLW 8 div
% change value of d (test it by looking if `` 1 1 d '' gives 2 or not )
1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse
ArcAdjust
% resets original value of d
1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse % Adjust angle to give overlap.
} def
%%------------------ tvz/DG/hv (2004-05-10) end -------------------%%
%
/Rot { CP CP translate 3 -1 roll neg rotate NET } def
%
/RotBegin {
tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 } def } if
/TMatrix [ TMatrix CM ] cvx def
/a ED
a Rot /RAngle [ RAngle dup a add ] cvx def
} def
%
/RotEnd {
/TMatrix [ TMatrix setmatrix ] cvx def
/RAngle [ RAngle pop ] cvx def
} def
%
/PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def
/PutBegin { /TMatrix [ TMatrix CM ] cvx def CP 4 2 roll T moveto } def
/PutEnd { CP /TMatrix [ TMatrix setmatrix ] cvx def moveto } def
%
/Uput {
/a ED
add 2 div /h ED 2
div /w ED
/s a sin def
/c a cos def
/b s abs c abs 2 copy gt dup
/q ED
{ pop } { exch pop } ifelse def
/w1 c b div w mul def
/h1 s b div h mul def
q { w1 abs w sub dup c mul abs }{ h1 abs h sub dup s mul abs } ifelse
} def
%
/UUput {
/z ED
abs /y ED
/x ED
q { x s div c mul abs y gt }{ x c div s mul abs y gt } ifelse
{ x x mul y y mul sub z z mul add sqrt z add }
{ q { x s div } { x c div } ifelse abs
} ifelse
a PtoC
h1 add exch
w1 add exch
} def
%
/BeginOL {
dup (all) eq exch TheOL eq or
{ IfVisible not { Visible /IfVisible true def } if }
{ IfVisible { Invisible /IfVisible false def } if } ifelse
} def
%
/InitOL {
/OLUnit [ 3000 3000 matrix defaultmatrix dtransform ] cvx def
/Visible { CP OLUnit idtransform T moveto } def
/Invisible { CP OLUnit neg exch neg exch idtransform T moveto } def
/BOL { BeginOL } def
/IfVisible true def
} def
%
end
%-----------------------------------------------------------------------------%
%
% END pstricks.pro
%%EndProcSet
%%BeginProcSet: pst-algparser.pro 0 0
% $Id: pst-algparser.pro 26 2008-06-14 11:50:02Z herbert $
%%
%% PostScript prologue for PSTricks algorithm parser
%% Version 0.01, 2008/01/01
%%
%% This program can be redistributed and/or modified under the terms
%% of the LaTeX Project Public License Distributed from CTAN archives
%% in directory macros/latex/base/lppl.txt.
%%
%%-----------------------------------------------------------------------------%
%
/AlgParser { tx@AlgToPs begin AlgToPs end } def % Dominique Rodriguez
%
/tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin
%
% PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.12
% E->T|E+T
% T->FS|T*FS
% FS -> F | +FS | -FS
% F->P|F^SF
% P->(E)|literal
% literal->number|var|var[E]|func(params)
% params->E|E,param
% number->TOBEFINISHED
%
%% E expression, T term, SF signed factor, F factor, P power
%
%% parser
%
%% str
%
%% C->E<condition_operators>E
%% STR index -> STR index+lenExpr
/AnalyzeCond { AnalyzeExpr ReadCondOp AnalyzeExpr EvalCondOp } def
%
%% analyze Expression List (separator , or | )
%% STR index -> STR index+lenExpr
%% /AnalyzeListOfE {
%% { NextNonBlankChar pop AnalyzeExpr%%dup Strlen eq { exit } if NextNonBlankChar
%% NextNonBlankChar dup 0 eq { pop exit } if
%% dup 44 ne 1 index 124 ne and { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } if
%% pop NextNonBlankChar dup 0 eq { exit } if 124 ne { PROBLEMCONTACTBILLOU } if 1 add NextNonBlankChar 0 eq {toto} if } loop
%% AnalyzeListOfEPostHook
%% } def
/AnalyzeListOfE {
/NotFirst false def
{ NextNonBlankChar pop AnalyzeExpr
NotFirst { EvalListOfExpr } { /NotFirst true def } ifelse
dup Strlen eq { exit } if NextNonBlankChar
dup 44 ne 1 index 124 ne and
{ dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse }
if pop 1 add } loop
AnalyzeListOfEPostHook
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% E->T|E+T
%% STR index -> STR index+lenExpr
/AnalyzeExpr {
AnalyzePreHook AnalyzeTerm IsEndingExpr
{ dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
{ { RollOp 1 add NextNonBlankChar pop AnalyzeTerm PreEvalHook EvalAddSub IsEndingExpr { pop exit } if } loop }
ifelse
AnalyzePostHook
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% T->FS|T*FS
%% STR index
/AnalyzeTerm {
AnalyzePreHook AnalyzeSignedFactor IsEndingTerm
{ dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
{ { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor PreEvalHook EvalMulDiv IsEndingTerm { pop exit } if} loop }
ifelse
AnalyzePostHook
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% FS -> F | +FS | -FS
%% STR index
/AnalyzeSignedFactor {
AnalyzePreHook 2 copy get dup IsUnaryOp
{ RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor EvalUnaryOp }
{ pop AnalyzeFactor }
ifelse AnalyzePostHook
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% F->P|F^P
%% STR index
/AnalyzeFactor {
AnalyzePreHook AnalyzePower IsEndingFactor
{ dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
{ { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower IsEndingFactor { pop exit } if} loop }
ifelse AnalyzePostHook
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% P->(E)|literal
%% STR index
/AnalyzePower {
%% depending of first char either a number, or a literal
2 copy get dup 40 eq%%an open par
{ pop 1 add NextNonBlankChar pop AnalyzeExpr 1 add NextNonBlankChar pop }
{ AnalyzeLiteral }
ifelse
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% STR index STR[index] -> STR index
%/AnalyzeLiteral { IsNumber { EvalNumber } { EvalLiteral } ifelse } def
/AnalyzeLiteral { dup IsUnaryOp exch IsNumber or { EvalNumber } { EvalLiteral } ifelse } def%%dr 09102006
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% recognize + or -
%% chr -> T/F
/IsUnaryOp { dup 43 eq exch 45 eq or } bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% a number can contain only : 0123456789.
%% chr -> T/F
/IsNumber { dup 48 ge exch dup 57 le 3 -1 roll and exch 46 eq or } bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% STR index -> STR index number
%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)?
%% STR index -> STR index' number
/ReadNumber {
exch dup 3 -1 roll dup 3 1 roll
%%read mantissa
{ 1 add 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsNumber not { exit } if pop } loop
dup 101 eq exch 69 eq or
%%% there is a "e" or "E" -> read exponant
{ 1 add 2 copy get dup IsUnaryOp
{ pop 1 add 2 copy get } if
{ IsNumber not { exit } if 1 add 2 copy get } loop }
if
dup 4 1 roll
3 -1 roll exch 1 index sub getinterval
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% a number can contain only : 0123456789.
%% chr -> T/F
/IsCondOp { dup 30 eq exch dup 60 ge exch 62 le and or } bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% STR index -> STR index number
%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)?
%% STR index -> STR index' number
/ReadCondOp {
NextNonBlankChar 1 index 4 1 roll
{ IsCondOp not { exit } if 1 add 2 copy get } loop
2 copy 5 -1 roll
exch 1 index sub getinterval 3 1 roll
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% a literal can contain only : 0123456789.
%% chr -> T/F
/IsLiteral {%
dup 48 ge exch dup 57 le 3 -1 roll and exch
dup 65 ge exch dup 90 le 3 -1 roll and 3 -1 roll or exch
dup 97 ge exch 122 le and or } bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% a literal can be of the form [a-zA-Z][a-zA-Z0-9]*\(\((Expression)\)|\(\[Expression\]\)\)?
%% STR index -> literal STR index' nextchr
/ReadLiteral {
exch dup 3 -1 roll dup 3 1 roll
%%read literal core
{ 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsLiteral not { exit } if pop 1 add } loop
4 1 roll dup 5 1 roll 3 -1 roll exch 1 index sub getinterval 4 1 roll
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% expr is ended by end of str or a clpar
%% STR index -> STR index STR[index] T/F
/IsEndingExpr {%
2 copy dup Strlen eq
%% if end of str is reached -> end !
{ pop pop 0 true }
%% ending chr -> clpar, comma, |, <, >, =, !,
{get dup dup 41 eq
exch dup 124 eq
exch dup 93 eq
exch dup 44 eq
exch dup 30 eq
exch dup 60 ge exch 62 le and or or or or or}
ifelse } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% expr is ended by end of str or a +-
%% STR index -> STR index STR[index] T/F
/IsEndingTerm { IsEndingExpr { true } { dup dup 43 eq exch 45 eq or } ifelse } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% expr is ended by end of str or */
%% STR index -> STR index STR[index] T/F
/IsEndingFactor { IsEndingTerm { true } { dup dup 42 eq exch 47 eq or } ifelse } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% expr is ended by end of str or ^
%% STR index -> STR index STR[index] T/F
/IsEndingPower { IsEndingFactor { true } { dup 94 eq } ifelse } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% STR index -> STR index STR[index]
/NextNonBlankChar { { dup Strlen eq { 0 exit } if 2 copy get dup neBlkChar { exit } if pop 1 add } loop } bind def
/neBlkChar { dup 32 ne exch dup 10 ne exch 9 ne and and } bind def
%%%%%%%%%%%%%%%%%%%%%%%%
%% DEBUG
/BRK {false} def
/BRKtrue {/BRK true def} def
/BRKStop {BRK {BRKtoto} if } def
/BRKEvalStop {BRK exch if } def
/BRKBRK2true {BRK {BRK2true} if } def
/BRK2 {false} def
/BRK2true {/BRK2 true def} def
/BRK2Stop {BRK2 {BRK2toto} if } def/BRK {false} def
end
%
%-------------------------------------------------------------------------------%
%
/tx@AlgToPs 12 dict def tx@AlgToPs begin
%
%% algExpr -> PSVector
/AlgToPs { tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE pop pop EndingSequence end } def
/EndingSequence { ExpressionVector aload length /end cvx exch 1 add array astore } def
/InitParser { /ExpressionVector [ /tx@AddMathFunc cvx /begin cvx ] def dup length /Strlen exch def 0 } def
/Strlen 0 def
/EvalListOfExpr {} def%
/EvalNumber {%
ReadNumber cvr /ExpressionVector ExpressionVector aload length dup 3 add -1 roll cvx
exch 1 add array astore def NextNonBlankChar pop } def
/EvalAddSub {%
/ExpressionVector ExpressionVector aload length dup 5 add -1 roll
43 eq { /add } { /sub } ifelse cvx exch 1 add array astore def
} def
/EvalMulDiv {%
/ExpressionVector ExpressionVector aload length dup 5 add -1 roll
42 eq { /mul } { /div } ifelse cvx exch 1 add array astore def
} def
/EvalPower {%
/ExpressionVector ExpressionVector aload length dup 5 add -1 roll
pop /exp cvx exch 1 add array astore def
} def
/EvalLiteral {%
ReadLiteral
dup 40 eq%%% there is an open par -> function call
{ pop 2 index
dup (Sum) eq { EvalSum }
{ dup (IfTE) eq { EvalCond }
{ dup (Derive) eq { pop EvalDerive }
{ pop 1 add NextNonBlankChar pop AnalyzeListOfE 2 index TrigoFunc
/ExpressionVector ExpressionVector aload length dup 5 add -1 roll cvn cvx
exch 1 add array astore def 1 add NextNonBlankChar pop } ifelse } ifelse} ifelse }
{ /ExpressionVector ExpressionVector aload length dup 6 add -1 roll cvn cvx exch 1 add array astore def
dup 91 eq%%% there is an open bracket -> vector element
{ pop 1 add NextNonBlankChar pop AnalyzeExpr
/ExpressionVector ExpressionVector aload length /cvi cvx exch /get cvx exch 2 add array astore def 1 add }
{ pop NextNonBlankChar pop }
ifelse}
ifelse
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% the derive function : Derive(n,f(x))
%% firstparindex lastparindex ->
/EvalDerive {
%% manage the function descripiton
1 add ReadNumber 3 1 roll NextNonBlankChar
44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if
1 add NextNonBlankChar pop
3 -1 roll cvi
dup 0 eq
{ pop AnalyzeExpr 3 -1 roll pop 1 add }
{ 1 sub 3 1 roll (x) exch tx@Derive begin DeriveIndexed end 4 -1 roll
{ (x) tx@Derive begin Derive end } repeat
ExpressionVector exch /ExpressionVector [] def
AlgToPs aload length
/ExpressionVector 1 index 3 add -1 roll aload length dup 3 add -1 roll /l2 exch def /l1 exch def
l1 l2 add 1 add l2 neg roll l1 l2 add array astore def 3 -1 roll pop 1 add
1 index length /Strlen exch def } ifelse
} def
/EvalSum {%
pop 1 add NextNonBlankChar pop
%% read the variable name
ReadLiteral pop NextNonBlankChar
44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if
%% read the initial value
1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll
2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if
%% read the increment value
1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll
2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if
%% read the limit value
1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll
2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if
/ExpressionVector ExpressionVector aload length dup 7 add -3 roll 0 4 1 roll
5 -1 roll 4 add array astore def
%% keep ExpressionVector for later and create a new one for internal Sum computation
ExpressionVector 3 1 roll /ExpressionVector [ 6 -1 roll cvn /exch cvx /def cvx ] def
1 add NextNonBlankChar pop AnalyzeExpr
%% add each term
/ExpressionVector ExpressionVector aload length 1 add /add cvx exch array astore def
/ExpressionVector 4 -1 roll aload length ExpressionVector cvx /for cvx 3 -1 roll 2 add
array astore def 3 -1 roll pop 1 add
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Convert to radians if trigo function call
%% (name) ->
/TrigoFunc {
dup (cos) eq 1 index (sin) eq or exch (tan) eq or
{ /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add
array astore def
} if
} def
/EvalCond {%
pop 1 add AnalyzeCond NextNonBlankChar
44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if
ExpressionVector 3 1 roll /ExpressionVector [] def
1 add AnalyzeExpr ExpressionVector 3 1 roll /ExpressionVector [] def
NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if
1 add AnalyzeExpr
NextNonBlankChar 41 ne { ANALYZER_ERROR_missing_ending parenthesis_in_IfTE } if
ExpressionVector
/ExpressionVector 6 -1 roll aload length dup
6 add -1 roll cvx exch dup 4 add -1 roll cvx /ifelse cvx 3 -1 roll 3 add array astore def
1 add 3 -1 roll pop
} def
%% CondOp STR index
/EvalCondOp {%
3 -1 roll
dup (=) eq { /eq } {%
dup (<) eq { /lt } {%
dup (>) eq { /gt } {%
dup (>=) eq { /ge } {%
dup (<=) eq { /ge } {%
dup (!=) eq { /ne } { ERROR_non_valid_conditional_operator }
ifelse } ifelse } ifelse } ifelse } ifelse } ifelse
cvx exch pop
/ExpressionVector ExpressionVector aload length dup 3 add -1 roll exch 1 add array astore def } def
/EvalUnaryOp {
3 -1 roll 45 eq { /ExpressionVector ExpressionVector aload length /neg cvx exch 1 add array astore def } if
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% H O O K S
/AnalyzePreHook {} bind def
/PreEvalHook {} bind def
/AnalyzeListOfEPostHook {} bind def
/AnalyzePostHook {} def
/RollOp { 3 1 roll } bind def
end %tx@CoreAnalyzerDict
%
%--------------------------------------------------------------------%
%
/tx@Derive 41 dict def tx@Derive begin
%%increase ^^ for each function added
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% algExpr variable -> PSVector
/Derive {%
10240 string 3 1 roll 0 3 1 roll
/Variable exch def
tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE end
} def
/Strlen 0 def
/InitParser { dup length /Strlen exch def 0 } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% algExpr variable index -> PSVector
/DeriveIndexed {%
3 1 roll 10240 string 3 1 roll 0 3 1 roll
/Variable exch def
tx@CoreAnalyzerDict begin InitParser pop 4 -1 roll AnalyzeExpr 4 -2 roll pop pop 4 -2 roll exch pop end
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% (u,v)'=-(u',v')
/EvalListOfExpr {%
4 2 roll 2 copy 9 -1 roll dup length 4 1 roll putinterval add AddPipe
2 copy 7 -1 roll dup length 4 1 roll putinterval add
6 -2 roll pop pop
2 copy pop 0 6 2 roll GetIntervalNewStr 5 1 roll 2 copy 0 exch getinterval 6 1 roll } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% (-u)'=-(u')
/EvalUnaryOp {
4 -2 roll 4 index (0) eq
{ (0) StrConcat 7 -1 roll pop }
{ 7 -1 roll 45 eq
{ AddSub AddOpPar true } { false } ifelse
3 1 roll 5 index StrConcat 3 -1 roll { AddClPar } if } ifelse
2 copy pop 0 6 2 roll GetIntervalNewStr
7 -2 roll pop pop 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% (number)'=0
/EvalNumber { ReadNumber (0) 6 2 roll } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% (u+v)'=u'+v'
/EvalAddSub {%
7 index dup (0) eq
{ pop true }%% du=0 nothing added
{ dup length exch 5 index 5 index 3 -1 roll putinterval 4 -1 roll add 3 1 roll false }
ifelse
5 index dup (0) eq
{ pop { (0) } { 4 -2 roll 2 copy pop 0 6 2 roll GetIntervalNewStr } ifelse }%%dv=0
{ exch
{ 5 -2 roll 7 index 45 eq { AddSub } if false } %%nothing yet added
{ 5 -2 roll 7 index 43 eq%%something yet added
{ AddAdd false } { AddSub AddOpPar true } ifelse }
ifelse 11 1 roll
3 -1 roll StrConcat 10 -1 roll { AddClPar } if
2 copy pop 0 6 2 roll GetIntervalNewStr }
ifelse
mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% (u*v)' or (u/v)'
/EvalMulDiv { 6 index 42 eq {EvalMul} {EvalDiv} ifelse } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% (u*v)'=u'*v+u*v'
/EvalMul {%
4 -2 roll 7 index dup (0) eq
{ pop false }%%du=0
{ (1) eq%%du=1
{ false }
{ AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse
3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if
true }%%du!=0
ifelse
5 1 roll 5 index (0) eq
{ 5 -1 roll not { (0) StrConcat } if }%%dv=0
{ 5 -1 roll { AddAdd } if
4 index (1) eq
{ 8 index StrConcat }
{ AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar }
ifelse
}%%dv!=0
ifelse
2 copy pop 0 6 2 roll GetIntervalNewStr
mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% (u/v)'=(u'*v-u*v')/v^2
/EvalDiv {%
4 -2 roll
4 index (0) eq%%dv=0 -> u'/v
{ 7 index (0) eq { (0) StrConcat } { AddOpPar 7 index StrConcat AddClPar AddDiv 5 index StrConcat } ifelse }
{ 7 index dup (0) eq
{ pop }%%du=0
{ (1) eq%%du=1
{ false }
{ AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse
3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if}%%du!=0
ifelse
AddSub
4 index (1) eq
{ 8 index StrConcat }
{ AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar }
ifelse
%}%%dv!=0
2 copy GetIntervalNewStr 3 1 roll pop 0 AddOpPar 3 -1 roll StrConcat AddClPar
AddDiv AddOpPar 5 index StrConcat AddClPar 2 copy (^2) putinterval 2 add }
ifelse
2 copy pop 0 6 2 roll GetIntervalNewStr
mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% str1 index str2 -> str1 index
/StrConcat { dup length 4 2 roll 2 copy 6 -1 roll putinterval 3 -1 roll add } bind def
/GetIntervalNewStr { 0 exch getinterval dup length string copy } bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% (u^v)'=(u^v)'=u'vu^(v-1)+v'u^(v)ln(u)
/EvalPower {%
4 -2 roll 7 index (0) eq
{%%if du=0 then (u^v)'=v'ln(u)u^v
4 index (0) eq
{ (0) StrConcat }%%if dv=0 then (u^v)'=0
{ 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if
8 index (e) ne { (ln\() StrConcat 8 index StrConcat (\)*) StrConcat } if
AddOpPar 8 index StrConcat (\)^\() StrConcat 5 index StrConcat AddClPar } ifelse
}
{%%du!=0
4 index (0) eq
{%%if dv=0 then (u^v)'=vu'u^(v-1)
5 index dup IsStrNumber
{ dup (0) eq
{ StrConcat }
{ dup dup (1) eq exch (1.0) eq or
{ StrConcat }
{ StrConcat
7 index dup (1) ne exch (1.0) ne and%%%dr 09102006 insert du if <> 1
{ (*\() StrConcat 7 index StrConcat (\)) StrConcat } if%%%dr 09102006
(*\() StrConcat 8 index StrConcat (\)) StrConcat
5 index dup dup (2) eq exch (2.0) eq or
{ pop } { cvr 1 sub 20 string cvs 3 1 roll (^) StrConcat 3 -1 roll StrConcat } ifelse } ifelse } ifelse }
{ pop AddOpPar 5 index StrConcat (\)*\() StrConcat 8 index StrConcat (\)^\() StrConcat
5 index StrConcat (-1\)) StrConcat } ifelse
}
{%%if dv!=0 and du!=0 then (u^v)'=u'vu^(v-1)+v'u^(v)ln(u)
7 index (1) ne { AddOpPar 7 index StrConcat (\)*) StrConcat } if
AddOpPar 5 index StrConcat (\)*\() StrConcat
8 index StrConcat (\)^\() StrConcat
5 index StrConcat (-1\)+\() StrConcat
4 index (1) ne { 4 index StrConcat (\)*\() StrConcat } if
8 index StrConcat (\)^\() StrConcat
5 index StrConcat (\)*ln\() StrConcat
8 index StrConcat AddClPar
} ifelse
} ifelse
2 copy pop 0 6 2 roll GetIntervalNewStr
mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% str -> true/false
/IsStrNumber {%
true exch
{ dup 48 lt exch dup 57 gt 3 -1 roll or
exch dup 46 ne%%.
exch dup 43 ne%%+
exch 45 ne%%-
and and and { pop false } if } forall
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% literal switch -> func call, vector, variables
/EvalLiteral {%
ReadLiteral dup 40 eq%%% there is an open par -> function call
{ pop (EvalFunc_ ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec }
{ dup 91 eq%%% there is an open bracket -> vector element
{ ERROR_vector_not_yet_implemented }
{ pop EvalVariable }
ifelse }
ifelse
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% first last parpos Expr[first:parpos-1] ->
/EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% (f(u))'=u'f'(u)
/EvalFunc {
4 2 roll 4 index (1) ne
{ AddOpPar 4 index StrConcat (\)*) StrConcat } if
(Eval ) 4 8 index StrConcat 0 exch getinterval cvn cvx exec
2 copy pop 0 6 2 roll GetIntervalNewStr
mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Func derivative -> Eval<func>
/EvalFunc_sin {%
PreCommonFunc
{ (cos\() StrConcat 5 index StrConcat AddClPar } if
PostCommonFunc } def
/EvalFunc_cos {%
PreCommonFunc
{ (\(-sin\() StrConcat 5 index StrConcat (\)\)) StrConcat } if
PostCommonFunc } def
/EvalFunc_tan {%
PreCommonFunc
{ dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/cos\() StrConcat 5 index StrConcat (\)^2) StrConcat } if
PostCommonFunc } def
/EvalFunc_asin {%
PreCommonFunc
{ (1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if
PostCommonFunc } def
/EvalFunc_acos {%
PreCommonFunc
{ (-1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if
PostCommonFunc } def
/EvalFunc_atg {%
PreCommonFunc
{ (1/\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if
PostCommonFunc } def
/EvalFunc_ln {%
PreCommonFunc
{ dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\() StrConcat 5 index StrConcat AddClPar } if
PostCommonFunc } def
/EvalFunc_exp {%
PreCommonFunc
{ (exp\() StrConcat 5 index StrConcat AddClPar } if
PostCommonFunc } def
/EvalFunc_sqrt {%
PreCommonFunc
{ dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if
PostCommonFunc } def
/EvalFunc_Fact {%
PreCommonFunc { ERROR_no_variable_expression_in_Fact } if
PostCommonFunc } def
/EvalFunc_sh {%
PreCommonFunc
{ (ch\() StrConcat 5 index StrConcat AddClPar } if
PostCommonFunc } def
/EvalFunc_ch {%
PreCommonFunc
{ (sh\() StrConcat 5 index StrConcat AddClPar } if
PostCommonFunc } def
/EvalFunc_th {%
PreCommonFunc
{ dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/ch\() StrConcat 5 index StrConcat (\)^2) StrConcat } if
PostCommonFunc } def
/EvalFunc_Argsh {%
PreCommonFunc
{ (1/sqrt\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if
PostCommonFunc } def
/EvalFunc_Argch {%
PreCommonFunc
{ (1/sqrt\(\() StrConcat 5 index StrConcat (\)^2-1\)\)) StrConcat } if
PostCommonFunc } def
/EvalFunc_Argth {%
PreCommonFunc
{ (1/\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if
PostCommonFunc } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
/PreCommonFunc {
1 add NextNonBlankChar pop 3 -1 roll 5 1 roll AnalyzeExpr 1 add NextNonBlankChar pop
4 2 roll 4 index (0) eq
{ (0) StrConcat false }
{ 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if true } ifelse
} def
/PostCommonFunc {
2 copy pop 0 6 2 roll GetIntervalNewStr
mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
} def
/EvalFunc_Derive {%
1 add ReadNumber cvi 1 add dup cvr log 1 add cvi string cvs
4 -1 roll pop 5 1 roll 1 add NextNonBlankChar pop AnalyzeExpr 1 add
4 -2 roll (Derive\() StrConcat 7 -1 roll StrConcat (,) StrConcat 6 -1 roll StrConcat AddClPar
2 copy pop 0 6 2 roll GetIntervalNewStr 6 -1 roll pop 2 index 6 index dup 4 index exch sub getinterval
exch 6 2 roll } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% literal switch -> func call, vector, variables
/EvalFunc_Sum {%
1 add NextNonBlankChar pop
%% read the variable name
ReadLiteral pop 3 -1 roll pop NextNonBlankChar
44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if
%% read the initial value
1 add NextNonBlankChar pop ReadNumber pop
2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if
%% read the increment value
1 add NextNonBlankChar pop ReadNumber pop
2 copy get 44 ne { ANALYZER_ERROR_missing_third_comma_in_Sum } if
%% read the limit value
1 add NextNonBlankChar pop ReadNumber pop
2 copy get 44 ne { ANALYZER_ERROR_missing_fourth_comma_in_Sum } if
1 add NextNonBlankChar pop dup 6 1 roll 3 -1 roll pop AnalyzeExpr 1 add NextNonBlankChar pop
4 -2 roll 3 index 8 index dup 9 index exch sub getinterval StrConcat
4 index StrConcat AddClPar
2 copy pop 0 6 2 roll GetIntervalNewStr
mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% literal switch -> func call, vector, variables
/EvalFunc_IfTE {%
3 -1 roll pop 1 add NextNonBlankChar pop SkipCond
NextNonBlankChar
44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if
1 add NextNonBlankChar pop dup 5 1 roll
AnalyzeExpr NextNonBlankChar
44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if
1 add NextNonBlankChar pop
AnalyzeExpr 1 add NextNonBlankChar pop
4 -2 roll 3 index 10 index dup 11 index exch sub getinterval StrConcat
6 index StrConcat (,) StrConcat 4 index StrConcat AddClPar
2 copy pop 0 6 2 roll GetIntervalNewStr
mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% advance in str until a comma is found (no error detection!)
%% str index -> str index'
/SkipCond { { 1 add 2 copy get 44 eq {exit } if } loop } bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Convert to radians if trigo function call
%% (name) ->
/TrigoFunc {
dup (cos) eq 1 index (sin) eq or exch (tan) eq or
{ /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add
array astore def
} if
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% No derivative for condition....
/EvalCondOp { 3 -1 roll pop } bind def
/PutIntervalOneAdd {putinterval 1 add} bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Add open parenthesis in string at the given index
%% str index -> str index+1
/AddOpPar {2 copy (\() PutIntervalOneAdd} bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Add close parenthesis in string at the given index
%% str index -> str index+1
/AddClPar {2 copy (\)) PutIntervalOneAdd} bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Add 0 in string at the given index
%% str index -> str index+1
/AddZero {2 copy (0) PutIntervalOneAdd} bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Add open parenthesis in string at the given index
%% str index -> str index+1
/AddMul {2 copy (*) PutIntervalOneAdd} bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Add open parenthesis in string at the given index
%% str index -> str index+1
/AddDiv {2 copy (/) PutIntervalOneAdd} bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Add a plus sign in string at the given index
%% str index -> str index+1
/AddAdd {2 copy (+) PutIntervalOneAdd} bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Add a minus sign in string at the given index
%% str index -> str index+1
/AddSub {2 copy (-) PutIntervalOneAdd} bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Add a pipe sign in string at the given index
%% str index -> str index+1
/AddPipe {2 copy (|) PutIntervalOneAdd} bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% H O O K S
/AnalyzePreHook { dup 5 1 roll } bind def
/PreEvalHook {} def
/AnalyzePostHook { 7 -1 roll pop } bind def
/AnalyzeListOfEPostHook { 6 -1 roll mark 6 1 roll cleartomark } bind def
/RollOp { 5 1 roll } bind def
end%%%tx@CoreAnalyzerDict
/tx@AddMathFunc 12 dict def tx@AddMathFunc begin
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% NEW FUNC
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% function arcsine in radians asin(x)=atan(x/sqrt(1-x^2))
%% x -> theta
/asin {%
dup abs 1 gt { EQDFasinrangeerror } if
dup dup dup mul 1 exch sub sqrt atan exch 0 lt { 360 sub } if DegtoRad
} def
%% function arccosine in radians acos(x)=atan(sqrt(1-x^2)/x)
%% x -> theta
/acos {%
dup abs 1 gt { EQDFacosrangeerror } if
dup dup mul 1 exch sub sqrt exch atan DegtoRad
} def
%% function arctangent in radians
%% x -> theta
/atg { 1 atan dup 90 gt { 360 sub } if DegtoRad } bind def
%% HYPERBOLIC FUNCTIONS
/sh { dup Ex exch neg Ex sub 2 div } def
/ch { dup Ex exch neg Ex add 2 div } def
/th { dup sh exch ch div } def
/Argsh { dup dup mul 1 add sqrt add ln } def
/Argch { dup dup mul 1 sub sqrt add ln } def
/Argth { dup 1 add exch 1 exch sub div ln 2 div } def
%% modified exponential funtion for 0
%% x n -> x^n
/Exp { dup 0 eq { pop pop 1 } { exp } ifelse } bind def
%% modified exponential funtion for 0
%% x -> e^x
/Ex { Euler exch exp } bind def
%%
%% factorial function
%% n -> n!
/Fact { 1 exch 2 exch 1 exch { mul } for } bind def
/fact { Fact } bind def
end
% END pstricks.pro
%%EndProcSet
%%BeginProcSet: pst-dots.pro 0 0
% $Id: pst-dots.pro 26 2008-06-14 11:50:02Z herbert $
%
%% PostScript prologue for pstricks.tex.
%% Version 2.02, 2008/04/18
%%
%% For distribution, see pstricks.tex.
%%
%% Timothy Van Zandt <tvz@Princeton.EDU>
%%
%% This program can be redistributed and/or modified under the terms
%% of the LaTeX Project Public License Distributed from CTAN archives
%% in directory macros/latex/base/lppl.txt.
%%
%% Modified by Etienne Riga - Dec. 16, 1999
%% Modified by Etienne Riga - 2005/01/01 (er)
%% to add /Diamond, /SolidDiamond and /BoldDiamond
%% Modified by Herbert Voss (hv) - 2008/04/17
%
10 dict dup begin % hold local
/FontType 3 def
/FontMatrix [.001 0 0 .001 0 0] def
/FontBBox [-571.5 -742.5 571.5 742.5] def
% /FontBBox [-1000 -1000 1000 1000] def % See end of file in /BuildGlyph
/Encoding 256 array def
0 1 255 {Encoding exch /.notdef put} for % fill the array with /.notdef
Encoding % replace with given dot names
dup (b) 0 get /Bullet put % get the numerical position of b in ASCII
% % and save /Bullet at this place in Encoding
dup (c) 0 get /Circle put
dup (C) 0 get /BoldCircle put % 67
dup (u) 0 get /SolidTriangle put
dup (t) 0 get /Triangle put
dup (T) 0 get /BoldTriangle put
dup (r) 0 get /SolidSquare put
dup (s) 0 get /Square put
dup (S) 0 get /BoldSquare put
dup (q) 0 get /SolidPentagon put
dup (p) 0 get /Pentagon put
dup (P) 0 get /BoldPentagon put
%%%
dup (k) 0 get /Asterisk put
dup (K) 0 get /BoldAsterisk put
dup (J) 0 get /SolidAsterisk put
dup (h) 0 get /Hexagon put
dup (H) 0 get /BoldHexagon put
dup (G) 0 get /SolidHexagon put
dup (f) 0 get /Octogon put % 2008-04-18 hv
dup (F) 0 get /BoldOctogon put % 2008-04-18 hv
dup (g) 0 get /SolidOctogon put % 2008-04-18 hv
dup (a) 0 get /Add put
dup (A) 0 get /BoldAdd put % 65
dup (x) 0 get /Mul put
dup (X) 0 get /BoldMul put
dup (m) 0 get /Oplus put
dup (M) 0 get /BOplus put
dup (e) 0 get /SolidOplus put
dup (n) 0 get /Otimes put
dup (N) 0 get /BOtimes put
dup (E) 0 get /SolidOtimes put
dup (i) 0 get /Bar put
dup (I) 0 get /BoldBar put
dup (l) 0 get /SolidDiamond put
dup (d) 0 get /Diamond put
(D) 0 get /BoldDiamond put
%%%
/CharProcs 47 dict def
CharProcs begin
/CirclePath {0 0 500 0 360 arc closepath} def
/Bullet {CirclePath fill} def
/Circle {CirclePath .9 .9 scale CirclePath eofill} def
/BoldCircle {CirclePath .8 .8 scale CirclePath eofill} def
/TrianglePath {0 660 moveto -571.5 -330 lineto 571.5 -330 lineto closepath} def
/SolidTriangle {TrianglePath fill} def
/Triangle {TrianglePath .85 .85 scale TrianglePath eofill} def
/BoldTriangle {TrianglePath .7 .7 scale TrianglePath eofill} def
/SquarePath {-450 450 moveto 450 450 lineto 450 -450 lineto -450 -450 lineto closepath} def
/SolidSquare {SquarePath fill} def
/Square {SquarePath .89 .89 scale SquarePath eofill} def
/BoldSquare {SquarePath .78 .78 scale SquarePath eofill} def
/PentagonPath {
-337.8 -465 moveto 337.8 -465 lineto 546.6 177.6 lineto
0 574.7 lineto -546.6 177.6 lineto closepath
} def
/SolidPentagon {PentagonPath fill} def
/Pentagon {PentagonPath .89 .89 scale PentagonPath eofill} def
/BoldPentagon {PentagonPath .78 .78 scale PentagonPath eofill} def
%-------------- hv begin 2004/07/25 from: er 2003/03/24
/HexagonPath {
0 550 moveto -476 275 lineto -476 -275 lineto
0 -550 lineto 476 -275 lineto 476 275 lineto closepath
} def
/SolidHexagon {HexagonPath fill} def
/Hexagon {HexagonPath .89 .89 scale HexagonPath eofill} def
/BoldHexagon {HexagonPath .79 .79 scale HexagonPath eofill} def
% 2008-04-18 hv
/OctogonPath {
550 dup 22.5 tan mul dup neg dup add /xMove exch def
exch moveto 7 { xMove 0 rlineto 45 rotate } repeat closepath } def
/SolidOctogon { OctogonPath fill } def
/Octogon { OctogonPath .89 .89 scale OctogonPath eofill } def
/BoldOctogon { OctogonPath .79 .79 scale OctogonPath eofill } def
%
/AsteriskPath {
20 0 moveto 10 250 180 500 0 500 curveto
-180 500 -10 250 -20 0 curveto closepath
} def
/Asterisk {
AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath
60 rotate AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath fill
} def
%
/Basterp {50 250 220 500 0 500 curveto -220 500 -50 250 -50 30 cos 100 mul curveto} def
/BoldAsteriskPath {
50 30 cos 100 mul moveto Basterp
60 rotate Basterp 60 rotate Basterp
60 rotate Basterp 60 rotate Basterp
60 rotate Basterp closepath
} def
/BoldAsterisk {BoldAsteriskPath fill} def
/SolidAsterisk {CirclePath .9 .9 scale BoldAsteriskPath eofill} def
/CrossPath {
40 550 moveto -40 550 lineto -40 40 lineto -550 40 lineto
-550 -40 lineto -40 -40 lineto -40 -550 lineto 40 -550 lineto
40 -40 lineto 550 -40 lineto 550 40 lineto 40 40 lineto closepath
} def
/BoldCrossPath {80 550 moveto -80 550 lineto -80 80 lineto -550 80 lineto
-550 -80 lineto -80 -80 lineto -80 -550 lineto 80 -550 lineto
80 -80 lineto 550 -80 lineto 550 80 lineto 80 80 lineto closepath
} def
/Add {CrossPath fill} def
/Mul {45 rotate CrossPath fill} def
/BoldAdd {BoldCrossPath fill} def
/BoldMul {45 rotate BoldCrossPath fill} def
/Oplus {CirclePath .9 .9 scale CirclePath eofill .775 .775 scale CrossPath fill } def
/SolidOplus {CirclePath .775 .775 scale BoldCrossPath eofill} def
/BOplus {CirclePath .8 .8 scale CirclePath eofill .775 .775 scale BoldCrossPath fill} def
/Otimes {CirclePath .9 .9 scale CirclePath eofill 45 rotate .775 .775 scale CrossPath fill} def
/BOtimes {CirclePath .8 .8 scale CirclePath eofill 45 rotate .775 .775 scale BoldCrossPath fill } def
/SolidOtimes {CirclePath 45 rotate .775 .775 scale BoldCrossPath eofill} def
/BarPath {40 660 moveto -40 660 lineto -40 -660 lineto 40 -660 lineto closepath} def
/Bar {BarPath fill} def
/BoldBarPath {80 660 moveto -80 660 lineto -80 -660 lineto 80 -660 lineto closepath} def
/BoldBar {BoldBarPath fill} def
/DiamondPath {0 742.5 moveto -428.5 0 lineto 0 -742.5 lineto 428.5 0 lineto closepath} def
/SolidDiamond {DiamondPath fill} def
/Diamond {DiamondPath .865 .865 scale DiamondPath eofill} def
/BoldDiamond {DiamondPath .73 .73 scale DiamondPath eofill} def
%%%
/.notdef { } def
end
%
/BuildGlyph {
exch
begin
% Metrics 1 index get exec 0
0 0
% BBoxes 3 index get exec
-1000 -1000 1000 1000
% -571.5 -742.5 571.5 742.5
setcachedevice
CharProcs begin load exec end
end
} def
%
/BuildChar {
1 index /Encoding get exch get
1 index /BuildGlyph get exec
} bind def
end
/PSTricksDotFont exch definefont pop
%% end
%%EndProcSet
%%BeginProcSet: special.pro 0 0
%!
TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N
/vs 792 N/ho 0 N/vo 0 N/hsc 1 N/vsc 1 N/ang 0 N/CLIP 0 N/rwiSeen false N
/rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N
/@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{
/hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho
X}B/@voffset{/vo X}B/@angle{/ang X}B/@rwi{10 div/rwi X/rwiSeen true N}B
/@rhi{10 div/rhi X/rhiSeen true N}B/@llx{/llx X}B/@lly{/lly X}B/@urx{
/urx X}B/@ury{/ury X}B/magscale true def end/@MacSetUp{userdict/md known
{userdict/md get type/dicttype eq{userdict begin md length 10 add md
maxlength ge{/md md dup length 20 add dict copy def}if end md begin
/letter{}N/note{}N/legal{}N/od{txpose 1 0 mtx defaultmatrix dtransform S
atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{
itransform lineto}}{6 -2 roll transform 6 -2 roll transform 6 -2 roll
transform{itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll
curveto}}{{closepath}}pathforall newpath counttomark array astore/gc xdf
pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack}
if}N/txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1
-1 scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3
get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip
yflip not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub
neg 0 TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{
noflips{TR pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop
90 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get
neg sub neg TR}if xflip yflip not and{TR pop pop 90 rotate ppr 3 get ppr
1 get neg sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr
2 get ppr 0 get neg sub neg 0 S TR}if}ifelse scaleby96{ppr aload pop 4
-1 roll add 2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S
TR}if}N/cp{pop pop showpage pm restore}N end}if}if}N/normalscale{
Resolution 72 div VResolution 72 div neg scale magscale{DVImag dup scale
}if 0 setgray}N/psfts{S 65781.76 div N}N/startTexFig{/psf$SavedState
save N userdict maxlength dict begin/magscale true def normalscale
currentpoint TR/psf$ury psfts/psf$urx psfts/psf$lly psfts/psf$llx psfts
/psf$y psfts/psf$x psfts currentpoint/psf$cy X/psf$cx X/psf$sx psf$x
psf$urx psf$llx sub div N/psf$sy psf$y psf$ury psf$lly sub div N psf$sx
psf$sy scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub
TR/showpage{}N/erasepage{}N/setpagedevice{pop}N/copypage{}N/p 3 def
@MacSetUp}N/doclip{psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll
newpath 4 copy 4 2 roll moveto 6 -1 roll S lineto S lineto S lineto
closepath clip newpath moveto}N/endTexFig{end psf$SavedState restore}N
/@beginspecial{SDict begin/SpecialSave save N gsave normalscale
currentpoint TR @SpecialDefaults count/ocount X/dcount countdictstack N}
N/@setspecial{CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs
neg 0 rlineto closepath clip}if ho vo TR hsc vsc scale ang rotate
rwiSeen{rwi urx llx sub div rhiSeen{rhi ury lly sub div}{dup}ifelse
scale llx neg lly neg TR}{rhiSeen{rhi ury lly sub div dup scale llx neg
lly neg TR}if}ifelse CLIP 2 eq{newpath llx lly moveto urx lly lineto urx
ury lineto llx ury lineto closepath clip}if/showpage{}N/erasepage{}N
/setpagedevice{pop}N/copypage{}N newpath}N/@endspecial{count ocount sub{
pop}repeat countdictstack dcount sub{end}repeat grestore SpecialSave
restore end}N/@defspecial{SDict begin}N/@fedspecial{end}B/li{lineto}B
/rl{rlineto}B/rc{rcurveto}B/np{/SaveX currentpoint/SaveY X N 1
setlinecap newpath}N/st{stroke SaveX SaveY moveto}N/fil{fill SaveX SaveY
moveto}N/ellipse{/endangle X/startangle X/yrad X/xrad X/savematrix
matrix currentmatrix N TR xrad yrad scale 0 0 1 startangle endangle arc
savematrix setmatrix}N end
%%EndProcSet
TeXDict begin @defspecial
/preview@version(11.86)def
userdict begin/preview-bop-level 0 def/bop-hook{/preview-bop-level
dup load dup 0 le{/isls false def/vsize 792 def/hsize 612 def}if 1
add store}bind def/eop-hook{/preview-bop-level dup load dup 0 gt{1
sub}if store}bind def end
/preview@tightpage true def (compatibility PostScript comment for dvipng<=1.5
userdict begin/bop-hook{7{currentfile token not{stop}if 65781.76 div
DVImag mul}repeat 72 add 72 2 copy gt{exch}if 4 2 roll neg 2 copy lt{exch}if
dup 0 gt{pop 0 exch}{exch dup 0 lt{pop 0}if}ifelse 720 add exch 720
add 3 1 roll 4{5 -1 roll add 4 1 roll}repeat <</PageSize[5 -1 roll
6 index sub 5 -1 roll 5 index sub]/PageOffset[7 -2 roll [1 1 dtransform
exch]{0 ge{neg}if exch}forall]>>setpagedevice//bop-hook exec}bind def
end
userdict (some extra code to avoid dvipng>=1.6 unknown special: 7{currentfile token not{stop}if 65781.76 div }))
pop
userdict begin/bop-hook{preview-bop-level 0 le{7{currentfile token
not{stop}if 65781.76 div DVImag mul}repeat 72 add 72 2 copy gt{exch}if
4 2 roll neg 2 copy lt{exch}if dup 0 gt{pop 0 exch}{exch dup 0 lt{pop
0}if}ifelse 720 add exch 720 add 3 1 roll 4{5 -1 roll add 4 1 roll}repeat
<</PageSize[5 -1 roll 6 index sub 5 -1 roll 5 index sub]/PageOffset[7
-2 roll [1 1 dtransform exch]{0 ge{neg}if exch}forall]>>setpagedevice}if//bop-hook
exec}bind def end
@fedspecial end TeXDict begin
23867906 17900936 1000 600 600 (mchrzasz.dvi) @start
end
%%EndProlog
%%BeginSetup
%%Feature: *Resolution 600dpi
TeXDict begin
% dvips-unknown
statusdict /setpageparams known { hsize vsize 0 1 statusdict begin {
setpageparams } stopped end } { true } ifelse { statusdict /setpage known
{ hsize vsize 1 statusdict begin { setpage } stopped pop end } if } if
end
%%EndSetup
%%Page: 1 1
TeXDict begin 1 0 bop
-32891 -32891 32891 32891 9867264 0 13156352
0 0 a @beginspecial 0 @llx 0 @lly
200 @urx 150 @ury 2000 @rwi @setspecial
%%BeginDocument: sm.1
%!PS
%%BoundingBox: 0 0 200 150
%%HiResBoundingBox: 0 0 199.25232 149.43924
%%Creator: MetaPost 1.504
%%CreationDate: 2014.04.14:1507
%%Pages: 1
%%BeginProlog
%%EndProlog
%%Page: 1 1
0 0 0 setrgbcolor 0 0.99626 dtransform truncate idtransform setlinewidth pop
[] 0 setdash 1 setlinejoin 10 setmiterlimit
newpath 99.62617 22.831 moveto
103.14857 26.3534 lineto
99.62617 22.831 lineto
96.10378 26.3534 lineto
99.62617 22.831 lineto
96.10378 19.3086 lineto
99.62617 22.831 lineto
103.14857 19.3086 lineto
closepath
gsave fill grestore stroke
1 setlinecap
newpath 0 56.0397 moveto
66.41745 56.0397 lineto stroke
newpath 29.81592 53.10509 moveto
40.76817 56.0397 lineto
29.81592 58.97432 lineto
closepath fill
newpath 199.25232 93.39954 moveto
101.43755 101.89038 lineto stroke
newpath 153.97949 100.27538 moveto
142.8134 98.29875 lineto
153.47186 94.42763 lineto
closepath fill
newpath 79.70093 56.0397 moveto
78.4191 57.89537 79.62675 60.44278 81.87471 60.62505 curveto
84.12234 60.8073 85.32982 63.35432 84.04817 65.20972 curveto
82.76634 67.06537 83.97401 69.61278 86.22198 69.79504 curveto
88.4696 69.97728 89.67708 72.5243 88.39545 74.37968 curveto
87.1136 76.23537 88.32127 78.78279 90.56924 78.96506 curveto
92.8172 79.14732 94.02486 81.69473 92.74303 83.5504 curveto
91.4614 85.40578 92.66887 87.9528 94.91649 88.13504 curveto
97.16446 88.3173 98.37213 90.86472 97.0903 92.72037 curveto
95.80865 94.57576 97.01613 97.12279 99.26376 97.30504 curveto
101.51172 97.4873 102.71939 100.03473 101.43755 101.89038 curveto stroke
newpath 101.43755 101.89038 moveto
199.25232 130.75932 lineto stroke
newpath 147.92079 112.54967 moveto
157.5939 118.4643 lineto
146.25941 118.17879 lineto
closepath fill
newpath 66.41745 56.0397 moveto
70.56854 56.0397 lineto stroke
newpath 74.71964 56.0397 moveto
78.87073 56.0397 lineto stroke
newpath 83.02182 56.0397 moveto
87.17291 56.0397 lineto stroke
newpath 91.324 56.0397 moveto
95.4751 56.0397 lineto stroke
newpath 99.62619 56.0397 moveto
103.77724 56.0397 lineto stroke
newpath 107.92833 56.0397 moveto
112.07942 56.0397 lineto stroke
newpath 116.23051 56.0397 moveto
120.3816 56.0397 lineto stroke
newpath 124.5327 56.0397 moveto
128.68379 56.0397 lineto stroke
newpath 66.41745 56.0397 moveto
66.41745 37.69904 81.2855 22.831 99.62617 22.831 curveto
117.96684 22.831 132.83488 37.69904 132.83488 56.0397 curveto stroke
newpath 132.83488 56.0397 moveto
199.25232 56.0397 lineto stroke
newpath 162.6508 53.10509 moveto
173.60304 56.0397 lineto
162.6508 58.97432 lineto
closepath fill
showpage
%%EOF
%%EndDocument
@endspecial eop end
%%Trailer
userdict /end-hook known{end-hook}if
%%EOF
Marcin Chrzaszcz