diff options
Diffstat (limited to 'Master')
| -rw-r--r-- | Master/texmf-dist/doc/generic/pst-vehicle/ListVehicles.tex | 471 | ||||
| -rw-r--r-- | Master/texmf-dist/doc/generic/pst-vehicle/README.md | 10 | ||||
| -rw-r--r-- | Master/texmf-dist/doc/generic/pst-vehicle/pst-vehicle-doc.pdf | bin | 0 -> 1222129 bytes | |||
| -rw-r--r-- | Master/texmf-dist/doc/generic/pst-vehicle/pst-vehicle-doc.tex | 803 | ||||
| -rw-r--r-- | Master/texmf-dist/tex/generic/pst-vehicle/pst-vehicle.tex | 221 | ||||
| -rw-r--r-- | Master/texmf-dist/tex/latex/pst-vehicle/pst-vehicle.sty | 6 | ||||
| -rwxr-xr-x | Master/tlpkg/bin/tlpkg-ctan-check | 2 | ||||
| -rwxr-xr-x | Master/tlpkg/libexec/ctan2tds | 1 | ||||
| -rw-r--r-- | Master/tlpkg/tlpsrc/collection-pstricks.tlpsrc | 1 | ||||
| -rw-r--r-- | Master/tlpkg/tlpsrc/pst-vehicle.tlpsrc | 0 |
10 files changed, 1514 insertions, 1 deletions
diff --git a/Master/texmf-dist/doc/generic/pst-vehicle/ListVehicles.tex b/Master/texmf-dist/doc/generic/pst-vehicle/ListVehicles.tex new file mode 100644 index 00000000000..2ca9ef9e3af --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-vehicle/ListVehicles.tex @@ -0,0 +1,471 @@ +%% +%% This is file `ListVehicles.tex', +%% +%% IMPORTANT NOTICE: +%% +%% Package `pst-vehicle.tex' +%% +%% Thomas S\"{o}ll +%% with the collaboration of +%% Juergen Gilg +%% Manuel Luque +%% +%% This program can redistributed and/or modified under %% +%% the terms of the LaTeX Project Public License %% +%% Distributed from CTAN archives in directory %% +%% macros/latex/base/lppl.txt; either version 1.3c of %% +%% the License, or (at your option) any later version. %% + +%% +%% DESCRIPTION: +%% `pst-vehicle' is a PSTricks package +%% +%% +\newpsstyle{segway}{rB=1.4,backwheel=\segWheel} +\newpsstyle{unicycle}{rB=1.6,backwheel=\SpokesWheelB} +\newpsstyle{tractor}{d=4,rB=1.4,rF=1.0} +\newpsstyle{truck}{backwheel=\TruckWheel,frontwheel=\TruckWheel,d=6.28,rB=1.9,rF=1.9} +\newpsstyle{bike}{backwheel=\SpokesWheelB,frontwheel=\SpokesWheelB,d=5.8,rB=1.6,rF=1.6} +%\wheelA,\wheelB,\wheelC,\segWheel,\arrowWheel,\TruckWheel,\TractorFrontWheel,\TractorRearWheel,\SpokesWheelCrossed,\SpokesWheelA +\def\Bike{% ------------------------------ Vehicle Nr. 1: normal bike ---------------------------- +\rput{!phiB}(0,0){% ------------ backwheel --- Hinterrad +\pst@backwheel +}% +\rput{!phiF}(!/rB rF def AF1x AF1y){%------ frontwheel --- Vorderrad +\pst@frontwheel +}% +\rput(!0 rB neg){% +\psline[linewidth=3pt](2.5,1.95)(0,1.7)% +\psline[linewidth=3pt](2.5,1.25)(0,1.45)% +\rput{!phiB Gang div}(!2.5 rB){% Kurbel +\pscircle*(0,0){0.4}% +\psline[linewidth=4pt](-0.3,-0.9)(0.3,0.9)% +\rput{!phiB Gang div neg}(-0.3,-0.9){\psline[linewidth=4pt](0,0)(-0.3,0)}% +\rput{!phiB Gang div neg}(0.3,0.9){\psline[linewidth=4pt](0,0)(0.3,0)}% +}% +\psline[linewidth=5pt](5.8,1.6)(4.75,4.85)(3.8,4.85)% +\psline[linewidth=5pt](0,1.6)(2.5,1.6)(5.2,3.65)% +\psline[linewidth=5pt](0,1.6)(1.6,4.05)(5,4.05)% +\psline[linewidth=5pt](2.5,1.6)(1.5,4.45)% +\psline[linewidth=7pt](0.8,4.45)(2,4.45)% +\pspolygon[linecolor=\pslinecolor,fillstyle=solid,fillcolor=\pslinecolor](5.05,3.85)(5.65,4.1)(5.65,3.6)% +}% +}% +\def\HighWheeler{% ------------------------------ Vehicle Nr. 2: high wheeler -- Hochrad Nr 2 ---------- +%------ pedal behind the frontwheel -- Pedal hinter dem Rad --------------------------------------- +\rput{!phiF 5 mul Gang div}(!AF1x AF1y){% +\psline[linewidth=3pt,border=0.5pt,bordercolor=white](0,0)(1.15;135) +\rput{!phiF 5 mul Gang div 180 add neg}(1.11;135){\pspolygon*[linearc=0.08,border=0.5pt,bordercolor=white]% +(-0.25,0.06)(-0.1,0.08)(-0.08,0.16)(0.08,0.16)(0.1,0.08)(0.25,0.06)% +(0.25,-0.06)(0.1,-0.08)(0.08,-0.16)(-0.08,-0.16)(-0.1,-0.08)(-0.25,-0.06)} +\pscircle[linewidth=0.75pt,dimen=outer,linecolor=white](1.1;135){0.075} +}% +%-------------------------------------------------------------------------------------------- +\rput{!phiF}(!AF1x AF1y){% % frontwheel ----- Vorderrad +\multido{\iA=0+10}{36}{% +\rput(0,0){\psline[linewidth=0.7pt,border=0.35pt,bordercolor=white](0,0)(!rF \iA\space PtoC)}% +} +\pscircle[linewidth=7.5pt,dimen=outer](0,0){!rF}% +\pscircle[linewidth=0.6pt,dimen=outer,linecolor=white](0,0){!rF 0.955 mul}% +\pscircle*(0,0){0.3}% +\pscircle*[linecolor=white](0,0){0.2}% +\pscircle*(0,0){0.14}% +}% +%------------------------------------------------------------------------------------------------- +%-------------------------------------------------------------------------------------------- +\rput{!phiF}(!AF1x AF1y){% +\pscircle*(0,0){0.14}% +\pscircle[linewidth=0.6pt,linecolor=white](0,0){0.07} +}% +%-------------------------------------------------------------------------------------------------- +\rput{!phiB}(0,0){% backwheel ------ Hinterrad +\multido{\iA=0+24}{15}{% +\rput(0,0){\psline[linewidth=0.7pt,border=0.35pt,bordercolor=white](0,0)(!rB \iA\space PtoC)}% +}% +\pscircle[linewidth=4.3pt,dimen=outer](0,0){!rB}% +\pscircle[linewidth=0.6pt,dimen=outer,linecolor=white](0,0){!rB 0.91 mul}% +\pscircle*[linewidth=0.5pt](0,0){0.14}% +}% +%-------- front to back connection -- Verbindung vordere Gabel zur Hinterachse ---------------------- +\rput(!AF1x AF1y){\pnode(!rF 1.06 mul 170 PtoC){ZA}}% +\let\myfillcolor\pslinecolor +\rput(!AF1x AF1y){% +\pscustom[linewidth=0.4pt,linecolor=white,fillstyle=solid,fillcolor=\myfillcolor]{% +\parametricplot[linewidth=0.5pt]{88}{10}{-(rF+0.36)*cos(Pi*t/180)|(rF+0.36)*sin(Pi*t/180)}% +\psarc(!AF1x 0.1 sub neg AF1y 0.03 add neg){0.08}{200}{300} +\parametricplot[linewidth=0.5pt]{10}{88}{-(rF+0.08-(t-100)*0.0353*2.5/78)*cos(Pi*t/180)|(rF+0.08-(t-100)*0.0353*2.5/78)*sin(Pi*t/180)} +\closepath +}% +}% +\rput(0,0){% +\pscircle[linestyle=none,fillstyle=solid,fillcolor=\pslinecolor](0,0){0.08}% +\pscircle[linewidth=0.9pt,linecolor=white](0,0){0.08}} +%-------------------------------------------------------------------------------------------------- +%-------front part and handle bar --- Vordere Gabel und Lenker ------------------------------------------- +\rput{1.5}(!AF1x AF1y){% +\psline[linewidth=5.5pt,border=0.5pt,bordercolor=white](0,0.1)(!0 rF 1.265 mul)% +\pscircle*[linewidth=0.6pt](!0 rF 1.28 mul){0.075}% +\psline[linewidth=5.5pt,linecolor=white](!0 rF 1.265 mul)(!0 rF 1.27 mul) +\psline[linewidth=3pt,linearc=0.02](!0 rF 1.24 mul)(!0.193 rF 1.24 mul)(!0.33 rF 1.31 mul)(!0.38 rF 1.31 mul) +\psline[linewidth=4.7pt,linearc=0.02,linecap=1,border=0.5pt,bordercolor=white](!0.42 rF 1.32 mul)(!0.455 rF 1.22 mul) +\pscircle*[linewidth=0.6pt](!0.455 rF 1.223 mul){0.145}% +\pscircle[linecolor=white,linewidth=0.5pt](!0.455 rF 1.223 mul){0.085}% +\pscircle[linecolor=white,linewidth=0.65pt](!0.455 rF 1.223 mul){0.15}% +\psline[linewidth=5.5pt,linecolor=white](!0 rF 1.208 mul)(!0 rF 1.211 mul) +\psline[linewidth=8.5pt](!0 rF 1.186 mul)(!0 rF 1.208 mul) +\psline[linewidth=5.5pt,linecolor=white](!0 rF 1.183 mul)(!0 rF 1.186 mul) +}% +%-------------------------------------------------------------------------------------------------- +%--------- pedal in front of the frontwheel --- Pedal vor dem Rad --------------------------------------------------------------- +\rput{!phiF 5 mul Gang div 180 add}(!AF1x AF1y){% +\psline[linewidth=3pt,border=0.5pt,bordercolor=white](0.12;135)(1.15;135) +\rput{!phiF 5 mul Gang div 180 add neg}(1.11;135){\pspolygon*[linearc=0.08,border=0.5pt,bordercolor=white]% +(-0.25,0.06)(-0.1,0.08)(-0.08,0.16)(0.08,0.16)(0.1,0.08)(0.25,0.06)% +(0.25,-0.06)(0.1,-0.08)(0.08,-0.16)(-0.08,-0.16)(-0.1,-0.08)(-0.25,-0.06)} +\pscircle[linewidth=0.75pt,dimen=outer,linecolor=white](1.1;135){0.075} +\psline[linewidth=3pt](0,0)(0.12;135) +\pscircle[linecolor=white,linewidth=0.3pt](0,0){0.065}% +} +%--------------------------------------------------------------------------------- +\rput(2,5.87){% +%--------- special garniture frontwheel ---- Geschweifte Linie am Vorderrad ------------------------------------------------------- +\rput(0,0){% +\pscustom[linewidth=1pt]{% +\psarc(3.16,1.53){0.1}{0}{180} +\psbezier(3.06,1.2)(3.2,1.05)(3.5,1.05) +\psbezier(3.63,1.05)(3.6,1.16)(3.53,1.17) +}% +\pscircle*[linewidth=0.6pt](3.2,1.5){0.075}% +\psellipse*[rot=0,linewidth=0.6pt](3.47,1.15)(0.085,0.05)% +}% +%------------ part of saddle ------ Sattelhalterung ----------------------------------------------------------- +\pscircle*[linewidth=0.6pt](2.63,1.6){0.068}% +\rput(0,0){% +\pscustom[showpoints=true,linewidth=1pt]{% +\psarcn(2.66,1.63){0.097}{235}{10} +\psbezier(2.8,1.3)(2.1,1.32)(1.4,1.32) +\psbezier(1.1,1.32)(0.9,1.1)(0.82,1) +\psbezier(0.74,0.9)(0.6,0.54)(0.3,0.54) +\psbezier(0.15,0.54)(0.17,0.7)(0.17,0.7) +\psarcn(0.31,0.7){0.14}{180}{0} +\psbezier(0.44,0.61)(0.34,0.61)(0.32,0.61) +}% +\pscircle*[linewidth=0.6pt](0.33,0.673){0.075}% +}% +\rput(0,0){% +\pscustom[showpoints=true,linewidth=1pt]{% +\psbezier(0.35,0.53)(0.3,0.45)(0.1,0.48)(0.1,0.4) +\psbezier(0.1,0.31)(0.18,0.345)(0.19,0.39) +}% +\psellipse*[rot=50,linewidth=0.6pt](0.2,0.4)(0.055,0.03)% +}% +%------------------------------------------------------------------------------------------------------- +%------------------ saddle ----- Sattel ---------------------------------------------------------------- +\rput(0,0){% +\pscustom[showpoints=true,linewidth=0.4pt,fillstyle=solid,fillcolor=\pslinecolor]{% +\psbezier(1.34,1.25)(1.42,1.25)(1.43,1.25)(1.58,1.25) +\psbezier(1.58,1.35)(1.62,1.38)(1.65,1.4)% <<----- Start the white line -- Startpunkt f\"{u}r die wei{\ss}e Linie +\psbezier(1.7,1.37)(1.8,1.38)(1.91,1.38) +\psbezier(1.98,1.38)(2.35,1.48)(2.35,1.55) +\psbezier(2.35,1.59)(2.2,1.6)(2.15,1.6) +\psbezier(2.05,1.6)(1.8,1.55)(1.74,1.55) +\psbezier(1.56,1.55)(1.41,1.75)(1.1,1.75) +\psbezier(0.9,1.75)(0.79,1.65)(0.79,1.59) +\lineto(0.835,1.59) +\psbezier(0.83,1.5)(1.12,1.45)(1.2,1.42) +\psbezier(1.25,1.4)(1.34,1.38)(1.34,1.25) +\closepath +}% +\psbezier[linecolor=white,linewidth=0.6pt](0.8,1.584)(1.1,1.75)(1.4,1.58)(1.67,1.38) +}% +}}% +\def\Truck{% \psset{radH=1.9,radV=1.9,d=6.28,vehicle=\Truck,ownvehicle=\ownTestB,frontwheel=\segWheel,backwheel=\segWheel} +% ------------------------------ Vehicle Nr. 3: truck ----------------------------------- +\rput(0,-2){% +\pscustom[linecolor=blue,fillstyle=solid,fillcolor=blue!20]{% +\psline(8.6,2)(8.38,2) +\psarc(6.28,2){2.1}{0}{180} +\psline(4.18,2)(2.1,2) +\psarc(0,2){2.1}{0}{180} +\psline(-2,2)(-2.2,2) +\moveto(-2.2,2) +\psline[linearc=0.2](-2.2,4.4)(2.5,4.4)(2.5,6)(4.4,6)(5.2,4.4)(7.8,4)(8.6,2) +\moveto(4.2,5.7) +\pspolygon[linearc=0.1](4.4,5.7)(2.8,5.7)(2.8,4.2)(5.1,4.2) +}% +\pswedge[fillstyle=solid,fillcolor=gray!20](6.28,2){2.1}{0}{180} +\pswedge[fillstyle=solid,fillcolor=gray!20](0,2){2.1}{0}{180} +\psarc[doubleline=true,doublecolor=blue!50](0,2){2.1}{0}{180} +\psarc[doubleline=true,doublecolor=blue!50](6.28,2){2.1}{0}{180} +% le phare +\pswedge[linecolor=blue,fillstyle=solid,fillcolor=blue!20](8.65,3){0.4}{90}{270} +% le conducteur +\pstVerb{% + /r1 0.4 def + /a1 -50 def + /b1 50 def +% r2=r1*sqrt(2-sin(2*a1)) + /r2 r1 2 1 a1 cos sub mul sqrt mul def + /b2 a1 sin neg 1 a1 cos sub atan def +}% +\rput(3.8,4.6){ +\pscustom[fillstyle=solid,fillcolor={[RGB]{253 191 183}}]{\psarc(0,0){!r1}{20}{-20} + \psarc(!r1 0){0.075}{-90}{90} + \closepath} +\psarcn(!r1 0){!r2}{!b2 180 add}{!b2 180 add b1 sub} +\pscircle*(0.2,0.1){0.05} +\psarc(0.2,0.1){0.1}{60}{130} +\psarc(-0.1,0){0.1}{120}{240} +\pscustom[fillstyle=solid,fillcolor=red]{\psarc(0,0){!r1}{60}{160}\closepath} +\pcline[nodesepB=1](!r1 60 cos mul r1 60 sin mul)(!r1 160 cos mul r1 160 sin mul)} +}% +\rput{!phiB}(0,0){% ----------- backwheel --- Hinterrad +\pst@backwheel +}% +\rput{!phiF}(!/rB rF def AF1x AF1y){%----- frontwheel --- Vorderrad +\pst@frontwheel +}% +}% + +%%%%%%%%%% Le tracteur %%%%%%%%%%%% +\definecolor{couleurtracteur}{RGB}{130 196 108} +\def\Tractor{% le tracteur seul +\psset{fillcolor=couleurtracteur} +\pscustom[fillstyle=solid]{% +\psline(!rB 160 cos mul rB 160 sin mul)(!rB 1.25 mul 160 cos mul rB 1.25 mul 160 sin mul)(-0.8,1.6)(1.2,1.5)(1.7,0.6)(1.7,0)(! rB 0) +\psarc(0,0){!rB}{0}{160} +\closepath} +\pscustom[fillstyle=solid]{ +\psline(1.4,1.14)(1.7,0.6)(1.7,-0.6)(2.4,-0.6)(2.4,-0.4)(3,-0.4) +\psarcn(!dA12 rF rB sub){!rF}{180}{126.87} +\psline(!dA12 rF 126.87 cos mul add rF rB sub rF 126.87 sin mul add)(2.4,0.4)(2.4,1.6)(2,1.14)(1.4,1.14) +\closepath} +\psline[linecolor=blue](2.4,1.6)(2,2.8)(0.4,2.8)(0.2,1.55) +\pscustom[fillstyle=solid]{% +\psline(2,2.8)(0.4,2.8)(0.2,1.55)(-0.2,1.57)(0.2,3.1)(1.932,3.004) +\closepath} +\pscustom[fillstyle=solid]{% +\psline(!dA12 rF 126.87 cos mul add rF rB sub rF 126.87 sin mul add)(2.4,0.4)(2.4,1.6)(4,1.4)(!dA12 rF 80 cos mul add rF rB sub rF 80 sin mul add) +\psarc(!dA12 rF rB sub){!rF}{80}{126.87} +\closepath} +\pscustom[fillstyle=solid]{% +\psline(3.9,1.43)(3.9,1.8)(3.7,1.8)(3.7,1.4555) +\closepath} +\pspolygon[fillstyle=solid,fillcolor=magenta](4,1.8)(3.6,1.8)(3.8,2) +\psline(2.4,-0.4)(1.7,-0.4) +\psdiamond[linejoin=1,fillstyle=solid,fillcolor=lightgray,doubleline](2.55,1)(0.12,0.2) +\rput(3.3,1){\textsf{\textbf{Renault}}}% +\rput{!phiB}(0,0){% ----------- backwheel --- Hinterrad +%\pst@backwheel +\TractorRearWheel +}% +\rput{!phiF}(!AF1x AF1y){%----- frontwheel --- Vorderrad +%\pst@frontwheel +\TractorFrontWheel +}% +} + +\def\Segway{% ------------------------------ Vehicle Nr. 4: Segway ----------------------------------- +\rput{!gamma neg}(0,0){% +\psframe*(-0.6,1)(0.2,4.5) +\rput{-10}(-0.8,0){\psframe*[framearc=0.6](-0.9,4.3)(0.4,7.4)} +\pscircle*(0.3,8.2){0.78} +\psline[linewidth=7pt](1,0.5)(2.1,5.2) +%% ARM +\psline[linewidth=12pt](2.1,5.4)(0.6,5.8)(0.2,6.8) +\pscircle*(2.1,5.4){0.3} +\pscircle[linecolor=white](2.1,5.4){0.25} +\psarc[linewidth=5pt](0,0){1.55}{0}{180} +%% la ROUE +}% +\rput{!phiB}(0,0){% ----------- backwheel --- Hinterrad +\pst@backwheel +}% +}% + +\def\UniCycle{% ------------------------------ Vehicle UniCycle ----------------------------------- +\rput{!gamma neg}(0,0){% +\rput{!phiB 180 add}(0,0){%!phiB +\rput{!phiB 180 add neg}(0,1){\psframe*[linecolor=black!80,framearc=0.15,linestyle=none,linewidth=0pt](-0.25,-0.1)(0.25,0.1)}%!phiB neg +\pscustom[linecolor=black!80,linewidth=0.015,fillstyle=solid,fillcolor=black!60]{% +\psarc(0,1){0.11}{0}{180} +\psbezier(-0.11,0.95)(-0.08,0.8)(-0.08,0.7) +\lineto(-0.08,0.4) +\psbezier(-0.08,0.25)(-0.12,0.05)(-0.12,0) +\psarc(0,0){0.12}{180}{0} +\psbezier(0.12,0.05)(0.08,0.25)(0.08,0.4) +\lineto(0.08,0.7) +\psbezier(0.08,0.8)(0.11,0.95)(0.11,1) +\closepath +}% +\pscircle[linecolor=black!90,linewidth=0.015](0,1){0.09}% +\pscircle*[linecolor=black](0,1){0.02} +} +\rput{!phiB}(0,0){% ----------- backwheel --- Hinterrad +\pst@backwheel +}% +%--- Gabel nach oben und Sattel +\rput{0}(0,0){%!gamma neg +\psframe*[linecolor=black!80,framearc=0.1,linestyle=none,linewidth=0pt](-0.085,2.9)(0.085,4) +\psframe*[linecolor=black!90,framearc=0.1,linestyle=none,linewidth=0pt](-0.1,1.9)(0.1,3) +\psframe*[linecolor=black,framearc=0.1,linestyle=none,linewidth=0pt](-0.16,2.85)(0.12,3.05) +\psframe*[linecolor=black!80,framearc=0.15,linestyle=none,linewidth=0pt](-0.12,0)(0.12,2) +%------------ Sattel ---------------------- +\pspolygon[fillstyle=solid,fillcolor=black!90,linearc=0.1,linestyle=none](-0.7,4)(1,4)(1,4.4)(0.6,4.35)(-0.2,4.35)(-0.7,4.4) +}% +%Pedale vorne +\rput{!phiB}(0,0){%!phiB +\pscustom[linecolor=black!80,linewidth=0.015,fillstyle=solid,fillcolor=black!60]{% +\psarc(0,1){0.11}{0}{180} +\psbezier(-0.11,0.95)(-0.08,0.8)(-0.08,0.7) +\lineto(-0.08,0.4) +\psbezier(-0.08,0.25)(-0.12,0.05)(-0.12,0) +\psarc(0,0){0.12}{180}{0} +\psbezier(0.12,0.05)(0.08,0.25)(0.08,0.4) +\lineto(0.08,0.7) +\psbezier(0.08,0.8)(0.11,0.95)(0.11,1) +\closepath +}% +\rput{!phiB neg}(0,1){\psframe*[linecolor=black!80,framearc=0.15,linestyle=none,linewidth=0pt](-0.25,-0.1)(0.25,0.1)}%!phiB neg +\pscircle[linecolor=black!60,linewidth=0.015](0,1){0.09}% +\pscircle*[linecolor=black](0,1){0.02} +\pscircle[linecolor=black,linewidth=0.015](0,0){0.1}% +\pscircle*[linecolor=black](0,0){0.02} +}% +}% +}% + +\def\SelfDefinedVehicle{% ------------- Vehicle Nr. 5: self defined vehicle -- Eigenes Fahrzeug Nr 5 +\pst@ownvehicle +\rput{!phiB}(0,0){% ----------- backwheel --- Hinterrad +\pst@backwheel +}% +\rput{!phiF}(!/rB rF def AF1x AF1y){%----- frontwheel --- Vorderrad +\pst@frontwheel +}% +}% + +\def\wheelA{% +\multido{\iA=0+36}{10}{% +\rput(0,0){\psline[linewidth=2pt](0,0)(!rB \iA\space PtoC)}% +}% +\pscircle[linewidth=5pt,dimen=outer](0,0){!rB}% +\pscircle*(0,0){0.25}% +}% + +\def\wheelB{% +\multido{\iA=0+36}{10}{% +\definecolor[ps]{couleurrayons}{hsb}{\iA\space 360 div 1 1 }% +\rput(0,0){\psline[linecolor=couleurrayons,linewidth=2pt](0,0)(!rB 0.9 mul \iA\space PtoC)} +}% +\pscircle[linewidth=5pt,dimen=outer](0,0){!rB}% +\pscircle*(0,0){0.25}% +}% + +\def\wheelC{% +\pscircle[fillstyle=solid,fillcolor=gray!20,dimen=outer](0,0){!rB}% +\multido{\iA=0+36}{10}{% +\definecolor[ps]{couleurrayons}{hsb}{\iA\space 360 div 1 1 }% +\rput(0,0){\psline[linecolor=couleurrayons,linewidth=2pt](0,0)(!rB 0.9 mul \iA\space PtoC)} +}% +\pscircle[linewidth=15pt,dimen=outer](0,0){!rB}% +\pscircle*(0,0){0.25}% +}% + +\def\wheelD{% +\multido{\iA=0+36}{10}{% +\definecolor[ps]{couleurrayons}{hsb}{\iA\space 360 div 1 1 }% +\rput(0,0){\psline[linecolor=couleurrayons,linewidth=1pt](0,0)(!rB \iA\space PtoC)} +}% +\pscircle[linewidth=1pt,dimen=outer](0,0){!rB}% +\pscircle*(0,0){0.1}% +} + +\def\arrowWheel{% +\pscircle*(0,0){!rB} +\pscircle*[linecolor=white](0,0){0.2} +\multido{\iA=0+30}{12}{% +\psline[linecolor=white](0,0)(!rB 0.7 mul \iA\space PtoC) +}% +\pscircle[linecolor=white,linewidth=2pt](0,0){!rB 0.7 mul} +\psline[linecolor=magenta,linewidth=1.5pt]{->}(0,0)(!rB -90 PtoC) +}% + +\def\TruckWheel{% +\pscircle*(0,0){!rB} +\pscircle*[linecolor=white](0,0){0.2} +\multido{\iA=0+30}{12}{% +\psline[linecolor=white](0,0)(!rB 0.65 mul \iA\space PtoC) +}% +\pscircle[linecolor=white,linewidth=2pt](0,0){!rB 0.65 mul} +}% + +\def\segWheel{% +\pscircle*(0,0){!rB} +\pscircle*[linecolor=white](0,0){0.2} +\multido{\iA=0+30}{12}{% +\psline[linecolor=white](0,0)(!rB 0.9 mul \iA\space PtoC) +}% +\pscircle[linecolor=white,linewidth=2pt](0,0){!rB 0.9 mul} +}% + +\def\SpokesWheelCrossed{ +\multido{\iM=0+40,\iJ=60+40}{10}{\psline[linewidth=0.1](!rB 0.16 mul \iM\space PtoC)(!rB \iJ\space PtoC) + \psline[linewidth=0.1](!rB 0.16 mul \iM\space PtoC)(!rB \iJ\space 10 add PtoC)} +\pscircle[fillstyle=solid,fillcolor=white,linewidth=0.1]{!rB 0.16 mul 0.2 add} +\multido{\i=0+40}{9}{\pscircle[linestyle=dashed,linecolor=gray!50](!rB 0.16 mul \i\space PtoC){! 0.1 rB 0.16 mul mul} + \pscircle*(!rB 0.16 mul \i\space 20 add PtoC){! 0.1 rB 0.16 mul mul}} +\multido{\iM=20+40,\iJ=-30+40}{10}{\psline[linewidth=0.1](!rB 0.16 mul \iM\space PtoC)(!rB \iJ\space PtoC) + \psline[linewidth=0.1](!rB 0.16 mul \iM\space PtoC)(!rB \iJ\space 10 sub PtoC)} +\pscircle[dimen=outer,linewidth=0.5,linecolor=black!90]{!rB}% +\pscircle[dimen=outer,linewidth=0.1,linecolor=white]{!rB 0.3 sub}% +} + +\def\SpokesWheelA{ +\multido{\iM=0+40,\iJ=60+40}{10}{\psline[linewidth=0.025](!rB 0.1 mul \iM\space PtoC)(!rB \iJ\space PtoC) + \psline[linewidth=0.025](!rB 0.1 mul \iM\space PtoC)(!rB \iJ\space 10 add PtoC)} +\pscircle[fillstyle=solid,fillcolor=white,linewidth=0.025]{!rB 0.1 mul 0.1 add} +\multido{\i=0+40}{9}{\pscircle[linewidth=0.025,linecolor=gray!50](!rB 0.1 mul \i\space PtoC){! 0.03 rB 0.16 mul mul} + \pscircle*[linewidth=0.025](!rB 0.1 mul \i\space 20 add PtoC){! 0.03 rB 0.16 mul mul}} +\multido{\iM=20+40,\iJ=-30+40}{10}{\psline[linewidth=0.025](!rB 0.1 mul \iM\space PtoC)(!rB \iJ\space PtoC) + \psline[linewidth=0.025](!rB 0.1 mul \iM\space PtoC)(!rB \iJ\space 10 sub PtoC)} +\pscircle[dimen=outer,linewidth=0.2,linecolor=black!90]{!rB}% +\pscircle[dimen=outer,linewidth=0.02,linecolor=white]{!rB 0.15 sub}% +} + +\def\SpokesWheelB{ +\multido{\iM=0+40,\iJ=60+40}{10}{\psline[linewidth=0.015,linecolor=black!80](!rB 0.11 mul \iM\space PtoC)(!rB \iJ\space PtoC) + \psline[linewidth=0.015,linecolor=black!80](!rB 0.11 mul \iM\space PtoC)(!rB \iJ\space 10 add PtoC)} +\pscircle[fillstyle=solid,fillcolor=white,linewidth=0.025,linecolor=black!80]{!rB 0.11 mul 0.06 add} +\multido{\i=0+40}{9}{\pscircle[linewidth=0.01,linecolor=black!50](!rB 0.11 mul \i\space PtoC){! 0.09 rB 0.16 mul mul} + \pscircle*[linewidth=0.01,linecolor=black](!rB 0.11 mul \i\space 20 add PtoC){! 0.09 rB 0.16 mul mul}} +\multido{\iM=20+40,\iJ=-30+40}{10}{\psline[linewidth=0.015,linecolor=black!80](!rB 0.11 mul \iM\space PtoC)(!rB \iJ\space PtoC) + \psline[linewidth=0.015,linecolor=black!80](!rB 0.11 mul \iM\space PtoC)(!rB \iJ\space 10 sub PtoC)} +\psline[linewidth=0.04,linecolor=black!90](!rB 0.3 sub -85 PtoC)(!rB 0.4 sub -85 PtoC)% +\psline[linewidth=0.048,linecolor=black!90](!rB 0.4 sub -85 PtoC)(!rB 0.44 sub -85 PtoC)% +\pscircle[dimen=outer,linewidth=0.3,linecolor=black!90]{!rB}% +\pscircle[dimen=outer,linewidth=0.09,linecolor=gray!20]{!rB 0.18 sub}% +} + +\def\TractorFrontWheel{% +\pscircle*(0,0){0.25}% +% 0.5=rF/2 0.2=rF/5 +\pscircle[linewidth=0.5,dimen=outer](0,0){!rF} +\multido{\iA=0+36}{10}{% +\psline[linewidth=2pt,linecolor=red](0,0)(!rF 2 div \iA\space PtoC)(!rF \iA\space PtoC)}% +\pscircle[dimen=outer,linewidth=0.3,linecolor={[rgb]{0.95 0.95 0}}](0,0){!rF 2 div} +\pscircle(0,0){!rF 5 div} +\multido{\iA=0+36}{10}{% +\psline[linewidth=2pt](0,0)(!rF 2 div \iA\space PtoC)}% +}% +\def\TractorRearWheel{% +\pscircle*(0,0){0.25}% +% 0.7=rB/2 0.28=rb/5 +\pscircle[linewidth=0.7,dimen=outer](0,0){!rB} +\multido{\iA=0+36}{10}{% +\psline[linewidth=2pt,linecolor=red](0,0)(!rB 2 div \iA\space PtoC)(!rB \iA\space PtoC)}% +\pscircle[dimen=outer,linewidth=0.42,linecolor={[rgb]{0.95 0.95 0}}](0,0){!rB 2 div} +\pscircle(0,0){!rB 5 div} +\multido{\iA=0+36}{10}{% +\psline[linewidth=2pt](0,0)(!rB 2 div \iA\space PtoC)}% +}%
\ No newline at end of file diff --git a/Master/texmf-dist/doc/generic/pst-vehicle/README.md b/Master/texmf-dist/doc/generic/pst-vehicle/README.md new file mode 100644 index 00000000000..a0d88352299 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-vehicle/README.md @@ -0,0 +1,10 @@ +The pst-vehicle package +Author: J. Gilg, M. Luque, T. Söll +Dated: 2017/06/01 + +pst-vehicle contains the following: + +1) pst-vehicle Package. + + +T. Söll
\ No newline at end of file diff --git a/Master/texmf-dist/doc/generic/pst-vehicle/pst-vehicle-doc.pdf b/Master/texmf-dist/doc/generic/pst-vehicle/pst-vehicle-doc.pdf Binary files differnew file mode 100644 index 00000000000..aa77f40d3ca --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-vehicle/pst-vehicle-doc.pdf diff --git a/Master/texmf-dist/doc/generic/pst-vehicle/pst-vehicle-doc.tex b/Master/texmf-dist/doc/generic/pst-vehicle/pst-vehicle-doc.tex new file mode 100644 index 00000000000..f8acf1e1f59 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-vehicle/pst-vehicle-doc.tex @@ -0,0 +1,803 @@ +%% +%% This is file `pst-vehicle-doc.tex', +%% +%% IMPORTANT NOTICE: +%% +%% Package `pst-vehicle.tex' +%% +%% Thomas S\"{o}ll +%% with the collaboration of +%% Juergen Gilg +%% Manuel Luque +%% +%% This program can redistributed and/or modified under %% +%% the terms of the LaTeX Project Public License %% +%% Distributed from CTAN archives in directory %% +%% macros/latex/base/lppl.txt; either version 1.3c of %% +%% the License, or (at your option) any later version. %% +%% +%% DESCRIPTION: +%% `pst-vehicle' is a PSTricks package +%% +%% +\documentclass[11pt,english,BCOR10mm,DIV12,bibliography=totoc,parskip=false,fleqn, + smallheadings, headexclude,footexclude,oneside,dvipsnames,svgnames,x11names,distiller]{pst-doc} +%\documentclass[11pt,english,BCOR10mm,DIV12,bibliography=totoc,parskip=false,smallheadings +% headexclude,footexclude,oneside,dvipsnames,svgnames,distiller]{pst-doc} +\listfiles +\usepackage[autostyle]{csquotes} +\usepackage{biblatex}%\usepackage[style=dtk]{biblatex} +\addbibresource{pst-vehicle-doc.bib} +\usepackage[utf8]{inputenc} +\let\pstpersFV\fileversion +\usepackage[e]{esvect} % f\"{u}r sch\"{o}nere Vektorpfeile +\usepackage{pst-vehicle,pst-eucl,pstricks-add,animate} +\let\belowcaptionskip\abovecaptionskip + +\def\bgImage{% +\begin{pspicture}(0,0)(14,8) +\def\FuncA{0.5*cos(1.5*x)+0.25*x} +\psplot[plotpoints=500]{0}{16}{\FuncA} +\psVehicle[vehicle=\HighWheeler,showSlope=false,linecolor=Gold]{0.35}{1.2}{\FuncA}% +\psVehicle[vehicle=\Bike,style=bike,showSlope=false,linecolor=green!70]{0.5}{6}{\FuncA}% +\psVehicle[vehicle=\Truck,style=truck,showSlope=false]{0.35}{12.2}{\FuncA}% +\end{pspicture} +} + +\lstset{language=PSTricks,morekeywords={psVehicle}\footnotesize\ttfamily} +% +\psset{labelFontSize=\scriptstyle}% for mathmode +\psset{algebraic=true} +\newpsstyle{quadrillage}{subgriddiv=2,gridlabels=5pt,gridwidth=0.3pt,gridcolor=black!50,subgridwidth=0.2pt,subgridcolor=black} + +\newcommand{\Epkt}[3]{\ensuremath{{\text{#1}}\left(\,#2\;\vline\;#3\,\right)}} + + + +\begin{document} + +\title{pst-vehicle v 1.0} +\subtitle{A PSTricks package for slipping/rolling vehicles on curves of any kind of mathematical functions} +\author{Thomas \textsc{S\"{o}ll}\\ +avec la collaboration de\\ +Manuel \textsc{Luque} et J\"{u}rgen \textsc{Gilg}} +\date{\today} + +\maketitle + +\tableofcontents +\psset{unit=1cm} + + +\clearpage + + +\begin{abstract} +This package was created to illustrate the notion of slope, the coefficient of the tangent line at a point of a curve. On the road, a rampant way or a dangerous descent due to their slope is indicated by a sign showing the percentage of the slope of this section of road, for example 10\,\%. It was therefore quite obvious that the idea of representing a vehicle rolling without slipping on a curve came into our minds. Different types of vehicles are proposed, the shape of the curve is to be defined by its equation: $y=f(x)$ in algebraic notation. +The line connecting the two contact points from the front and the rear wheel with the curve and the sign of the slope can be easily displayed. It is also possible to represent, not a speed-o-meter of the vehicle, but a slope-o-meter was introduced as an indicator of the value of the slope of the straight line defined above. + + +\vfill +This program can redistributed and/or modified under %% +the terms of the LaTeX Project Public License %% +Distributed from CTAN archives in directory %% +macros/latex/base/lppl.txt; either version 1.3c of %% +the License, or (at your option) any later version. %% + +\end{abstract} + + +\clearpage + + + +\section{Theory---the mathematical background} + +Within the following first sections, we like to show the theory on how we programmed the package. Easy elementary vector geometry with some basic calculus aspects. + + + +\subsection{Wheels on a curve---equal radii} + +\psset{saveNodeCoors,NodeCoorPrefix=n,algebraic} +\def\myFunk{2-0.25*x^2} +\def\abl{Derive(1,\myFunk)} +\begin{pspicture}(-10,-1)(8,3.5) +\psplot{-3.8}{3.8}{\myFunk} +\pnode(*-3 {\myFunk}){A} +\pnode(*nAx {\abl}){A_St} +\pnode(*-1 {\myFunk}){B} +\pnode(*nBx {\abl}){B_St} +\psdot(A) +\psdot(B) +\uput*[-90](A){\small$\Epkt{}{x_0}{f(x_0)}$} +\uput*[-90](B){\small$\Epkt{}{x}{f(x)}$} + +\pnode(!nAx nA_Sty 1 nA_Sty dup mul add sqrt div sub nAy 1 1 nA_Sty dup mul add sqrt div add){H} +\pnode(!nBx nB_Sty 1 nB_Sty dup mul add sqrt div sub nBy 1 1 nB_Sty dup mul add sqrt div add){V} +\psdot[linecolor=red](H) +\psdot[linecolor=red](V) +\pscircle[dimen=outer,linecolor=gray](H){1} +\pscircle[dimen=outer,linecolor=gray](V){1} + +\pcline[linecolor=red](H)(V)\naput*{$R$} +\pcline[linecolor=blue](H)(A)\naput{$r$} +\pcline[linecolor=blue](V)(B)\naput{$r$} + +\psplotTangent[linestyle=dashed,linecolor=Green]{nAx}{1.5}{\myFunk} +\psplotTangent[linestyle=dashed,linecolor=Green]{nBx}{1.5}{\myFunk} +\end{pspicture} + +The boundary point of the back wheel (radius $r$ from the back wheel axis) with the curve: +\begin{equation*} +\vec{x}_0= +\begin{pmatrix} +x_0\\ +f(x_0) +\end{pmatrix} +\end{equation*} +The direction of the tangent line is: +\begin{equation*} +\vec{t}_0= +\begin{pmatrix} +1\\ +f'(x_0) +\end{pmatrix} +\end{equation*} +The normed normal vector in $x_0$ is: +\begin{equation*} +\vec{n}_{0x_0}=\frac{1}{\sqrt{1+f'(x_0)^2}} +\begin{pmatrix} +-f'(x_0)\\ +1 +\end{pmatrix} +\end{equation*} +The point $H$ -- coordinates of the back wheel axis is: +\begin{align*} +\overrightarrow{BW}&=\vec{x}_0+r\cdot \vec{n}_{0x_0}\\ +&=\begin{pmatrix} +x_0-r\frac{f'(x_0)}{\sqrt{1+f'(x_0)^2}}\\ +f(x_0)+r\frac{1}{\sqrt{1+f'(x_0)^2}} +\end{pmatrix} +\end{align*} +$x$ is the abscissa of the boundary point of the front wheel with the curve. + +The normed normal vector in $x$ is: +\begin{equation*} +\vec{n}_{0x}=\frac{1}{\sqrt{1+f'(x)^2}} +\begin{pmatrix} +-f'(x)\\ +1 +\end{pmatrix} +\end{equation*} +The point $V$ -- coordinates of the front wheel axis is: +\begin{align*} +\overrightarrow{FW}&=\vec{x}+r\cdot \vec{n}_{0x}\\ +&=\begin{pmatrix} +x-r\frac{f'(x)}{\sqrt{1+f'(x)^2}}\\ +f(x)+r\frac{1}{\sqrt{1+f'(x)^2}} +\end{pmatrix} +\end{align*} +The distance between the axes is $R$ -- thus: +\begin{align*} +|\overrightarrow{FW}-\overrightarrow{BW}|&=R\\ +\left| +\begin{pmatrix} +x-r\frac{f'(x)}{\sqrt{1+f'(x)^2}}-\left(x_0-r\frac{f'(x_0)}{\sqrt{1+f'(x_0)^2}}\right)\\ +f(x)+r\frac{1}{\sqrt{1+f'(x)^2}}-\left(f(x_0)+r\frac{1}{\sqrt{1+f'(x_0)^2}}\right) +\end{pmatrix} +\right|&=R\\ +\left|\begin{pmatrix} +x-x_0+r\left(\frac{f'(x_0)}{\sqrt{1+f'(x_0)^2}}-\frac{f'(x)}{\sqrt{1+f'(x)^2}}\right)\\ +f(x)-f(x_0)+r\left(\frac{1}{\sqrt{1+f'(x)^2}}-\frac{1}{\sqrt{1+f'(x_0)^2}}\right) +\end{pmatrix} +\right|&=R +\end{align*} +This leads to an equation of the variable $x$, where $x$ is the abscissa of the boundary point of the front wheel with the curve. +\begin{equation*} +\left(x-x_0+r\left(\frac{f'(x_0)}{\sqrt{1+f'(x_0)^2}}-\frac{f'(x)}{\sqrt{1+f'(x)^2}}\right)\right)^2+\left(f(x)-f(x_0)+r\left(\frac{1}{% +\sqrt{1+f'(x)^2}}-\frac{1}{\sqrt{1+f'(x_0)^2}}\right)\right)^2=R^2 +\end{equation*} + + + +\subsection{Wheels on a curve---different radii} + +\psset{saveNodeCoors,NodeCoorPrefix=n,algebraic} +\def\myFunk{2-0.25*x^2} +\def\abl{Derive(1,\myFunk)} +\begin{pspicture}(-10,-2)(8,3) +\psplot{-4}{4}{\myFunk} +\pnode(*-3 {\myFunk}){A} +\pnode(*nAx {\abl}){A_St} +\pnode(*-1 {\myFunk}){B} +\pnode(*nBx {\abl}){B_St} +\psdot(A) +\psdot(B) +\uput*[-90](A){\small$\Epkt{}{x_0}{f(x_0)}$} +\uput*[-90](B){\small$\Epkt{}{x}{f(x)}$} + +\pnode(!nAx nA_Sty 1 nA_Sty dup mul add sqrt div sub nAy 1 1 nA_Sty dup mul add sqrt div add){H} +\pnode(!nBx nB_Sty 1 nB_Sty dup mul add sqrt div 0.7 mul sub nBy 1 1 nB_Sty dup mul add sqrt div 0.7 mul add){V} +\psdot[linecolor=red](H) +\psdot[linecolor=red](V) +\pscircle[dimen=outer,linecolor=gray](H){1} +\pscircle[dimen=outer,linecolor=gray](V){0.7} + +\pcline[linecolor=red](H)(V)\naput*{$R$} +\pcline[linecolor=blue](H)(A)\naput{$r_1$} +\pcline[linecolor=blue](V)(B)\naput{$r_2$} + +\psplotTangent[linestyle=dashed,linecolor=Green]{nAx}{1.5}{\myFunk} +\psplotTangent[linestyle=dashed,linecolor=Green]{nBx}{1.5}{\myFunk} +\end{pspicture} + +The boundary point of the back wheel (radius $r_1$ from the back wheel axis) with the curve: +\begin{equation*} +\vec{x}_0= +\begin{pmatrix} +x_0\\ +f(x_0) +\end{pmatrix} +\end{equation*} +The direction of the tangent line is: +\begin{equation*} +\vec{t}_0= +\begin{pmatrix} +1\\ +f'(x_0) +\end{pmatrix} +\end{equation*} +The normed normal vector in $x_0$ is: +\begin{equation*} +\vec{n}_{0x_0}=\frac{1}{\sqrt{1+f'(x_0)^2}} +\begin{pmatrix} +-f'(x_0)\\ +1 +\end{pmatrix} +\end{equation*} +The point $H$ -- coordinates of the back wheel axis is: +\begin{align*} +\overrightarrow{BW}&=\vec{x}_0+r_1\cdot \vec{n}_{0x_0}\\ +&=\begin{pmatrix} +x_0-r_1\frac{f'(x_0)}{\sqrt{1+f'(x_0)^2}}\\ +f(x_0)+r_1\frac{1}{\sqrt{1+f'(x_0)^2}} +\end{pmatrix} +\end{align*} +$x$ is the abscissa of the boundary point of the front wheel with the curve. + +The normed normal vector in $x$ is: +\begin{equation*} +\vec{n}_{0x}=\frac{1}{\sqrt{1+f'(x)^2}} +\begin{pmatrix} +-f'(x)\\ +1 +\end{pmatrix} +\end{equation*} +The point $V$ -- coordinates of the front wheel axis is: +\begin{align*} +\overrightarrow{FW}&=\vec{x}+r_2\cdot \vec{n}_{0x}\\ +&=\begin{pmatrix} +x-r_2\frac{f'(x)}{\sqrt{1+f'(x)^2}}\\ +f(x)+r_2\frac{1}{\sqrt{1+f'(x)^2}} +\end{pmatrix} +\end{align*} +The distance between the axes is $R$ -- thus: +\begin{align*} +|\overrightarrow{FW}-\overrightarrow{BW}|&=R\\ +\left| +\begin{pmatrix} +x-r_2\frac{f'(x)}{\sqrt{1+f'(x)^2}}-\left(x_0-r_1\frac{f'(x_0)}{\sqrt{1+f'(x_0)^2}}\right)\\ +f(x)+r_2\frac{1}{\sqrt{1+f'(x)^2}}-\left(f(x_0)+r_2\frac{1}{\sqrt{1+f'(x_0)^2}}\right) +\end{pmatrix} +\right|&=R\\ +\end{align*} +This leads to an equation of the variable $x$, where $x$ is the abscissa of the boundary point of the front wheel with the curve. +\begin{equation*} +\left(x-x_0+r_1\frac{f'(x_0)}{\sqrt{1+f'(x_0)^2}}-r_2\frac{f'(x)}{\sqrt{1+f'(x)^2}}\right)^2+ +\left(f(x)-f(x_0)+r_2\frac{1}{\sqrt{1+f'(x)^2}}-r_1\frac{1}{\sqrt{1+f'(x_0)^2}}\right)^2=R^2 +\end{equation*} + + + +\subsection{Inclination angle between back wheel and front wheel axes} + +\psset{saveNodeCoors,NodeCoorPrefix=n,algebraic} +\def\myFunk{0} +\def\abl{Derive(1,\myFunk)} +\begin{pspicture}(-10,-0.5)(8,4) +\psplot{-8}{4}{\myFunk} +\pnode(*-5 {\myFunk}){A} +\pnode(*nAx {\abl}){A_St} +\pnode(*1 {\myFunk}){B} +\pnode(*nBx {\abl}){B_St} + +%\uput*[-90](A){\small$\Epkt{}{x_0}{f(x_0)}$} +%\uput*[-90](B){\small$\Epkt{}{x}{f(x)}$} + +\pnode(!nAx nA_Sty 1 nA_Sty dup mul add sqrt div 2 mul sub nAy 1 1 nA_Sty dup mul add sqrt div 2 mul add){H} +\pnode(!nBx nB_Sty 1 nB_Sty dup mul add sqrt div 1.4 mul sub nBy 1 1 nB_Sty dup mul add sqrt div 1.4 mul add){V} +\psdot[linecolor=red](H) +\psdot[linecolor=red](V) +\uput[90](H){H} +\uput[90](V){V} +\pscircle[dimen=outer,linecolor=gray](H){2} +\pscircle[dimen=outer,linecolor=gray](V){1.4} + +\pcline[linecolor=red](H)(V)\naput{$R$} +\pcline[linecolor=blue](H)(A)\naput{$r_1$} +\pcline[linecolor=blue](V)(B)\naput{$r_2$} + +\pcline[linecolor=gray,linestyle=dashed](H)(!nHx nVy)\nbput{$r_1-r_2$} +\pcline[linecolor=gray,linestyle=dashed](!nHx nVy)(!nVx nVy)\nbput{$\sqrt{R^2-(r_1-r_2)^2}$} + +\pnode(!nHx nVy){X} + +\pstMarkAngle[linecolor=red,arrows=->,MarkAngleRadius=4.5,LabelSep=3.6]{H}{V}{X}{\color{red}$\alpha$} +\end{pspicture} + +The initial inclination angle $\alpha$ of the line between front wheel axis and back wheel axis on a horizontal plane is : +\begin{equation*} + \alpha=\arctan\left(\frac{r_1-r_2}{\sqrt{R^2-(r_1-r_2)^2}}\right) +\end{equation*} +If the plane is not horizontal, there is an additional angle $\beta$ given by the function $f(x)$: + +\psset{saveNodeCoors,NodeCoorPrefix=n,algebraic} +\def\myFunk{0} +\def\abl{Derive(1,\myFunk)} +\begin{pspicture}(-10,0)(8,5.5) +\rput{-20}{ +\psplot{-8}{4}{\myFunk} +\pnode(*-5 {\myFunk}){A} +\pnode(*nAx {\abl}){A_St} +\pnode(*1 {\myFunk}){B} +\pnode(*nBx {\abl}){B_St} +\psdot(A) +\psdot(B) +\uput*[-90](A){\small$\Epkt{}{x_0}{f(x_0)}$} +\uput*[-90](B){\small$\Epkt{}{x}{f(x)}$} + +\pnode(!nAx nA_Sty 1 nA_Sty dup mul add sqrt div 2 mul sub nAy 1 1 nA_Sty dup mul add sqrt div 2 mul add){H} +\pnode(!nBx nB_Sty 1 nB_Sty dup mul add sqrt div 1.4 mul sub nBy 1 1 nB_Sty dup mul add sqrt div 1.4 mul add){V} +\psdot[linecolor=red](H) +\psdot[linecolor=red](V) +\uput[90](H){H} +\uput[90](V){V} +\pscircle[dimen=outer,linecolor=gray](H){2} +\pscircle[dimen=outer,linecolor=gray](V){1.4} + +\pcline[linecolor=red](H)(V)\naput{$R$} +\pcline[linecolor=blue](H)(A)\naput{$r_1$} +\pcline[linecolor=blue](V)(B)\naput{$r_2$} + +\pcline[linecolor=gray,linestyle=dashed](H)(!nHx nVy)\nbput{$r_1-r_2$} +\pcline[linecolor=gray,linestyle=dashed](!nHx nVy)(!nVx nVy)\nbput{$\sqrt{R^2-(r_1-r_2)^2}$} + +\pnode(!nHx nVy){X} + +\pstMarkAngle[linecolor=red,arrows=->,MarkAngleRadius=4.5,LabelSep=3.6]{H}{V}{X}{\color{red}$\alpha$} +} + +\rput(H){% +\pcline[linestyle=dashed](0,0)(5.5,0)\naput{$x_V-x_H$} +\pcline[linestyle=dashed](5.5,0)(V)\naput{$y_V-y_H$} +} +\uput{1cm}[-13](H){\color{blue}$\beta$} +\end{pspicture} + +The coordinates of the front wheel axis are: +\begin{equation*} +\overrightarrow{FW}=\vec{x}+r_2\cdot \vec{n}_{0x} +=\begin{pmatrix} +x-r_2\frac{f'(x)}{\sqrt{1+f'(x)^2}}\\ +f(x)+r_2\frac{1}{\sqrt{1+f'(x)^2}} +\end{pmatrix} +=\begin{pmatrix} +x_V\\y_V +\end{pmatrix} +\end{equation*} +The coordinates of the back wheel axis are: +\begin{equation*} +\overrightarrow{BW}=\vec{x}_0+r_1\cdot \vec{n}_{0x_0} +=\begin{pmatrix} +x_0-r_1\frac{f'(x_0)}{\sqrt{1+f'(x_0)^2}}\\ +f(x_0)+r_1\frac{1}{\sqrt{1+f'(x_0)^2}} +\end{pmatrix} +=\begin{pmatrix} +x_H\\y_H +\end{pmatrix} +\end{equation*} +The angle $\beta$ is: +\begin{equation*} +\beta=\arctan\left(\frac{y_V-y_H}{x_V-x_H}\right) +\end{equation*} +The total angle $\gamma$ is: +\begin{equation*} + \gamma=-(\alpha+\beta) +\end{equation*} + + + +\subsection{Rolling without slipping} + +\textbf{Important note:} There is a limitation for the radii. The radii $r$ of the wheels of the vehicle need to be smaller than the minimal curvature radius $\varrho$ of the given curve. + +At points of inflection, the curvature radius is $\infty$. The curvature radius $\varrho$ is calculated with the following formula: +\begin{equation*} +\varrho=\frac{\sqrt{(1+f'(x)^2)^3}}{f''(x)} +\end{equation*} +The condition for \emph{rolling without slipping} is +\begin{equation*} +\omega=\left(\frac{1}{r}-\frac{1}{\varrho}\right)\cdot \dot{s}, +\end{equation*} +where $s$ is the length along the curve of the function $f$. + +With +\begin{equation*} +\omega=\frac{\text{d}\varphi}{\text{d}t}\quad\text{ and }\quad \dot{s}=\sqrt{1+f'(x)^2}\cdot\frac{\text{d}x}{\text{d}t} +\end{equation*} +this finally leads to +\begin{equation*} +\text{d} \varphi=\left(\frac{1}{r}-\frac{1}{\varrho}\right)\cdot\sqrt{1+f'(x)^2}\,\text{d}x +\end{equation*} + + + +\section{Predefined vehicles} + +This package contains a number of predefined vehicles, like \emph{Bike}, \emph{Tractor}, \emph{Highwheeler}, \emph{Truck}, \emph{Segway}, \emph{Unicycle}. The last two of the vehicles only contain one axis, the rest has two axes. + +Except the mono-cycles, a vehicle is defined by the radius of each wheel, [\texttt{rB}] for the rear (back) wheel and [\texttt{rF}] for the front wheel and the distance [\texttt{d}] between the axes of the two wheels. Their values must be given within the options of the \texttt{\textbackslash psVehicle [options]} command. The cladding of a vehicle, auto body or bicycle frame must of course be adapted to the dimensions indicated above. A number of types of wheels and vehicles have been predefined. + +We also setup some \verb+\newpsstyle+ for each of the vehicles, where the dimensions and the choice of the wheels are setup like we would choose them. +\begin{lstlisting} +\newpsstyle{segway}{rB=1.4,backwheel=\segWheel}%MonoAxis +\newpsstyle{unicycle}{rB=1.6,backwheel=\SpokesWheelB}%MonoAxis +\newpsstyle{tractor}{d=4,rB=1.4,rF=1.0} +\newpsstyle{truck}{backwheel=\TruckWheel,frontwheel=\TruckWheel,d=6.28,rB=1.9,rF=1.9} +\newpsstyle{bike}{backwheel=\SpokesWheelB,frontwheel=\SpokesWheelB,d=5.8,rB=1.6,rF=1.6} +\end{lstlisting} +Here follows a list of the vehicles that come along with the package: + + + +\subsection{\textbackslash Bike} + +\begin{LTXexample}[pos=l,width=4cm] +\begin{pspicture}(0,0)(4,3) +\def\FuncA{1*cos(x)+1} +\psframe*[linecolor=yellow!10](0,0)(4,3) +\psgrid[style=quadrillage](0,0)(4,3) +\psplot{0}{4}{\FuncA} +\psVehicle[vehicle=\Bike,showSlope]{0.25}{1.2}{\FuncA} +\end{pspicture} +\end{LTXexample} + + + +\subsection{\textbackslash Tractor} + +\begin{LTXexample}[pos=l,width=4cm] +\begin{pspicture}(-1,4)(3,7) +\def\funkg{sqrt(-x^2+2*x*10+1)} +\psframe*[linecolor=yellow!10](-1,4)(3,7) +\psgrid[style=quadrillage](-1,4)(3,7) +\psplot[plotpoints=500,algebraic]{0.5}{4}{\funkg} +\psVehicle[vehicle=\Tractor,showSlope=false]{0.5}{1}{\funkg} +\end{pspicture} +\end{LTXexample} + + + +\subsection{\textbackslash HighWheeler} + +\begin{LTXexample}[pos=l,width=4cm] +\begin{pspicture}(0,-1)(4,3) +\def\FuncA{-0.25*(x-2)^2+0.5} +\psframe*[linecolor=yellow!10](0,-1)(4,3) +\psgrid[style=quadrillage](0,-1)(4,3) +\psplot[yMinValue=0]{0}{4}{\FuncA} +\psVehicle[vehicle=\HighWheeler]{0.25}{1.2}{\FuncA} +\end{pspicture} +\end{LTXexample} + + + +\subsection{\textbackslash Truck} + +\begin{LTXexample}[pos=l,width=4cm] +\begin{pspicture}(0,-1)(4,3) +\def\FuncA{0.3*1.6^x} +\psframe*[linecolor=yellow!10](0,-1)(4,3) +\psgrid[style=quadrillage](0,-1)(4,3) +\psplot{0}{4}{\FuncA} +\psVehicle[vehicle=\Truck,style=truck]{0.3}{1.2}{\FuncA} +\end{pspicture} +\end{LTXexample} + + + +\subsection{\textbackslash Segway} + +\begin{LTXexample}[pos=l,width=4cm] +\begin{pspicture}(0,-1)(4,4) +\def\FuncA{(x-3)*sin(0.2*(x-1))+1} +\psframe*[linecolor=yellow!10](0,-1)(4,4) +\psgrid[style=quadrillage](0,-1)(4,4) +\psplot{0}{4}{\FuncA} +\psVehicle[vehicle=\Segway,style=segway]{0.25}{1.2}{\FuncA} +\end{pspicture} +\end{LTXexample} + + + +\subsection{\textbackslash UniCycle} + +\begin{LTXexample}[pos=l,width=4cm] +\begin{pspicture}(0,0)(4,4) +\def\FuncA{(x-3)*sin(0.2*(x-1))+1} +\psframe*[linecolor=yellow!10](0,0)(4,4) +\psgrid[style=quadrillage](0,0)(4,4) +\psplot{0}{4}{\FuncA} +\psVehicle[vehicle=\UniCycle,style=unicycle,showSlope=false]{0.5}{2.2}{\FuncA} +\end{pspicture} +\end{LTXexample} + + + +\section{Predefined wheels} + +In this section we present the predefined wheels that can be used for the front or back wheel. + + + +\subsection{\textbackslash wheelA} + +\begin{LTXexample}[pos=l,width=2cm] +\begin{pspicture}(-1,-1)(1,1) +\rput(!/rB 1 def 0 0){\wheelA} +\end{pspicture} +\end{LTXexample} + + + +\subsection{\textbackslash{}wheelB} + +\begin{LTXexample}[pos=l,width=2cm] +\begin{pspicture}(-1,-1)(1,1) +\rput(!/rB 1 def 0 0){\wheelB} +\end{pspicture} +\end{LTXexample} + + + +\subsection{\textbackslash wheelC} + +\begin{LTXexample}[pos=l,width=2cm] +\begin{pspicture}(-1,-1)(1,1) +\rput(!/rB 1 def 0 0){\wheelC} +\end{pspicture} +\end{LTXexample} + + + +\subsection{\textbackslash wheelD} + +\begin{LTXexample}[pos=l,width=2cm] +\begin{pspicture}(-1,-1)(1,1) +\rput(!/rB 1 def 0 0){\wheelD} +\end{pspicture} +\end{LTXexample} + + + +\subsection{\textbackslash arrowWheel} + +\begin{LTXexample}[pos=l,width=2cm] +\begin{pspicture}(-1,-1)(1,1) +\rput(!/rB 1 def 0 0){\arrowWheel} +\end{pspicture} +\end{LTXexample} + + + +\subsection{\textbackslash TruckWheel} + +\begin{LTXexample}[pos=l,width=2cm] +\begin{pspicture}(-1,-1)(1,1) +\rput(!/rB 1 def 0 0){\TruckWheel} +\end{pspicture} +\end{LTXexample} + + + +\subsection{\textbackslash segWheel} + +\begin{LTXexample}[pos=l,width=2cm] +\begin{pspicture}(-1,-1)(1,1) +\rput(!/rB 1 def 0 0){\segWheel} +\end{pspicture} +\end{LTXexample} + + + +\subsection{\textbackslash SpokesWheelCrossed} + +\begin{LTXexample}[pos=l,width=2cm] +\begin{pspicture}(-1,-1)(1,1) +\rput(!/rB 1 def 0 0){\SpokesWheelCrossed} +\end{pspicture} +\end{LTXexample} + + + +\subsection{\textbackslash SpokesWheelA} + +\begin{LTXexample}[pos=l,width=2cm] +\begin{pspicture}(-1,-1)(1,1) +\rput(!/rB 1 def 0 0){\SpokesWheelA} +\end{pspicture} +\end{LTXexample} + + + +\subsection{\textbackslash TractorFrontWheel} + +\begin{LTXexample}[pos=l,width=2cm] +\begin{pspicture}(-1,-1)(1,1) +\rput(!/rF 1 def 0 0){\TractorFrontWheel} +\end{pspicture} +\end{LTXexample} + + + +\subsection{\textbackslash TractorRearWheel} + +\begin{LTXexample}[pos=l,width=2cm] +\begin{pspicture}(-1,-1)(1,1) +\rput(!/rB 1 def 0 0){\TractorRearWheel} +\end{pspicture} +\end{LTXexample} + + + +\section{How to use the command} + +This package offers the following command: + +\begin{BDef} +\Lcs{psVehicle}\OptArgs\Largb{scaling factor}\Largb{abscissa back wheel}\Largb{equation function} +\end{BDef} + +\textbf{Important note:} The function has to be given in algebraic notation and not in RPN. + +The package \LPack{pst-vehicle} contains the options \nxLkeyword{epsilon=}, \nxLkeyword{rB=}, \nxLkeyword{rF=}, \nxLkeyword{d=}, \nxLkeyword{gang=}, \nxLkeyword{vehicle=}, \nxLkeyword{ownvehicle=}, \nxLkeyword{backwheel=}, \nxLkeyword{frontwheel=}, \nxLkeyword{MonoAxis=} and \nxLkeyword{showSlope=} +\begin{quote} +\begin{tabularx}{\linewidth}{ @{} l >{\ttfamily}l X @{} }\toprule +\emph{Name} & \emph{Default} & \emph{Meaning} \\\midrule +\Lkeyword{epsilon} & 1e-6 & Increment\\ +\Lkeyword{rB} & 1.6 & Radius of the back wheel\\ +\Lkeyword{rF} & 1.6 & Radius of the front wheel\\ +\Lkeyword{d} & 5.8 & Distance between front and back wheel axes\\ +\Lkeyword{gang} & 1 & Transmission between pedals and back wheel\\ +\Lkeyword{vehicle} & \texttt{\textbackslash Bike} & The Bike is chosen by default\\ +\Lkeyword{ownvehicle} & & Used to generate custom vehicle\\ +\Lkeyword{backwheel} & \texttt{\textbackslash wheelA} & wheelA is chosen by default\\ +\Lkeyword{frontwheel} & \texttt{\textbackslash wheelA} & wheelA is chosen by default\\ +\Lkeyword{MonoAxis} & false & if the vehicle has one axis\\ +\Lkeyword{showSlope} & true & showing the slope of the vehicle\\ +\bottomrule +\end{tabularx} +\end{quote} + + + +\section{The Slope-o-Meter} + +A very nice gadget to show the angle of the slope of the vehicle on the curve. A fine thing for animations as you will see within the section Animation \ldots + +This command is shipped with two arguments to customize it with the \emph{color of appearance} and the \emph{angle of the pointer}. + +\textbf{Note:} The name \emph{Slope-o-Meter} is not at all an academically correct notation, but we all together had great fun to give it that special name. +\begin{LTXexample}[pos=l,width=5cm] +\begin{pspicture}(-2.5,-2.5)(2.5,2.5) +\pstVerb{/omega 30 def} +\rput(0,0){\SlopeoMeter{cyan!90}{omega}} +\end{pspicture} +\end{LTXexample} + + + +\section{Examples} + +\subsection{Predefined vehicle with custom wheels} + +\begin{LTXexample}[pos=l,width=7cm] +\begin{pspicture}(1,1)(8,6) +\def\FuncA{0.5*cos(x)+2} +\psframe*[linecolor=yellow!10](1,1)(8,6) +\psgrid[style=quadrillage](1,1)(8,6) +\psplot{1}{8}{\FuncA} +\psVehicle[vehicle=\Truck,showSlope=false,frontwheel=\wheelC,backwheel=\arrowWheel,rB=1,rF=1]{0.5}{3.2}{\FuncA} +\end{pspicture} +\end{LTXexample} + + + +\subsection{Custom vehicle} + +To design your own vehicle, there are just a few rules to follow: +\begin{itemize} +\item Choose \nxLkeyword{vehicle=\textbackslash SelfDefinedVehicle} +\item No need to draw the wheels---just choose one of the predefined---or define your own wheels and then choose them with the options \nxLkeyword{backwheel=} and \nxLkeyword{frontwheel=} +\item \textbf{Important note:} The axe of the back wheel is hard programmed at: \Epkt{O}{0}{0} +\item The front wheel position is automatically calculated with the given distance between the two axes \nxLkeyword{d=} +\item Draw your vehicle as if it stands on a horizontal plane, then define it and set it with i.\,e. \nxLkeyword{ownvehicle=\textbackslash myVeh} as shown in the example below. +\end{itemize} +\begin{LTXexample}[pos=l,width=5cm] +\def\myVeh{\psframe*[linecolor=red](-1,-0.25)(5,2)} +\begin{pspicture}(2,1)(7,4) +\def\FuncA{0.5*sin(x)+2} +\psframe*[linecolor=yellow!10](2,1)(7,4) +\psgrid[style=quadrillage](2,1)(7,4) +\psplot{2}{7}{\FuncA} +\psVehicle[vehicle=\SelfDefinedVehicle,ownvehicle=\myVeh,showSlope=false,frontwheel=\wheelA,backwheel=\wheelB,rB=1,rF=1,d=4]{0.5}{3.2}{\FuncA} +\end{pspicture} +\end{LTXexample} + +The same body of the vehicle is chosen as within the example above, but the front wheel has a smaller radius. + +\begin{LTXexample}[pos=l,width=5cm] +\def\myVeh{\psframe*[linecolor=red](-1,-0.25)(5,2)} +\begin{pspicture}(2,1)(7,4) +\def\FuncA{0.5*sin(x)+2} +\psframe*[linecolor=yellow!10](2,1)(7,4) +\psgrid[style=quadrillage](2,1)(7,4) +\psplot{2}{7}{\FuncA} +\psVehicle[vehicle=\SelfDefinedVehicle,ownvehicle=\myVeh,showSlope=false,frontwheel=\wheelA,backwheel=\wheelB,rB=1,rF=0.7,d=4]{0.5}{3.2}{\FuncA} +\end{pspicture} +\end{LTXexample} + + + +\section{Animation} + +\begin{LTXexample}[pos=t,width=15cm] +\def\funkg{0.25*(x-3)*sin(0.2*(x-2))-1} +\begin{animateinline}[controls,palindrome, + begin={\begin{pspicture}(-2,-2)(13,3)}, + end={\end{pspicture}}]{20}% 20 frames/s (velocity of the animation) +\multiframe{100}{rB=0+0.05}{% number of frames +\psframe*[linecolor=cyan!20](-2,-2)(13,4) +\pscustom[fillstyle=solid,fillcolor={[RGB]{174 137 100}},linestyle=none]{ +\psplot[plotpoints=500,algebraic]{-2}{13}{\funkg} +\psline(13,-2)(-2,-2) +\closepath} +\psplot[plotpoints=500,algebraic]{-2}{13}{\funkg} +\psVehicle[vehicle=\Bike,style=bike,linecolor=DodgerBlue4]{0.4}{\rB}{\funkg} +\rput(10.5,0.5){\SlopeoMeter{cyan!90}{omega}} +} +\end{animateinline} +\end{LTXexample} + + +\clearpage + + +\section{List of all optional arguments for \texttt{pst-vehicle}} + +\xkvview{family=pst-vehicle,columns={key,type,default}} + + +\clearpage + + +\nocite{*} +\bgroup +\RaggedRight +\printbibliography +\egroup + + +\printindex +\end{document}
\ No newline at end of file diff --git a/Master/texmf-dist/tex/generic/pst-vehicle/pst-vehicle.tex b/Master/texmf-dist/tex/generic/pst-vehicle/pst-vehicle.tex new file mode 100644 index 00000000000..83d4ff901a1 --- /dev/null +++ b/Master/texmf-dist/tex/generic/pst-vehicle/pst-vehicle.tex @@ -0,0 +1,221 @@ +%% +%% This is file `pst-vehicle.tex', +%% +%% IMPORTANT NOTICE: +%% +%% Package `pst-vehicle.tex' +%% +%% Thomas S\"{o}ll +%% with the collaboration of +%% Juergen Gilg +%% Manuel Luque +%% +%% This program can redistributed and/or modified under %% +%% the terms of the LaTeX Project Public License %% +%% Distributed from CTAN archives in directory %% +%% macros/latex/base/lppl.txt; either version 1.3c of %% +%% the License, or (at your option) any later version. %% + +%% +%% DESCRIPTION: +%% `pst-vehicle' is a PSTricks package +%% +%% +\csname PSTvehicleLoaded\endcsname +\let\PSTvehicleLoaded\endinput +% Requires PSTricks, pst-xkey, pst-node packages +\ifx\PSTricksLoaded\endinput\else\input pstricks.tex\fi +\ifx\PSTXKeyLoaded\endinput\else\input pst-xkey.tex\fi +\ifx\PSTplotLoaded\endinput\else\input pst-plot.tex\fi +\ifx\PSTnodeLoaded\endinput\else\input pst-node.tex\fi +\def\fileversion{1.0} +\def\filedate{2017/05/29} +\message{`PST' v\fileversion, \filedate} + +\edef\PstAtCode{\the\catcode`\@} \catcode`\@=11\relax + +\definecolor{greenSlp}{rgb}{0,0.4,0.0} +\definecolor{redSlp}{rgb}{0.7,0.134,0.134} + +\pst@addfams{pst-vehicle} +\define@key[psset]{pst-vehicle}{backwheel}[\wheelA]{\def\pst@backwheel{#1 }} % +\define@key[psset]{pst-vehicle}{frontwheel}[\wheelA]{\def\pst@frontwheel{#1 }} % +\define@key[psset]{pst-vehicle}{ownvehicle}{\def\pst@ownvehicle{#1 }} % +\define@key[psset]{pst-vehicle}{vehicle}[\Bike]{\def\pst@vehicle{#1}} % +\define@key[psset]{pst-vehicle}{d}[5.8]{\def\pst@d{#1 }} % +\define@key[psset]{pst-vehicle}{rF}[1.6]{\def\pst@rF{#1 }} % +\define@key[psset]{pst-vehicle}{rB}[1.6]{\def\pst@rB{#1 }} % +\define@key[psset]{pst-vehicle}{gang}[1]{\def\pst@gang{#1 }} % +\define@key[psset]{pst-vehicle}{epsilon}[1e-6]{\def\pst@epsilon{#1 }} % +\define@boolkey[psset]{pst-vehicle}[Pst@]{showSlope}[true]{} % +\define@boolkey[psset]{pst-vehicle}[Pst@]{MonoAxis}[false]{} % +\input{ListVehicles.tex} +\psset[pst-vehicle]{gang=1,epsilon=1e-6,rB=1.6,rF=1.6,d=5.8,vehicle=\Bike,ownvehicle=,backwheel=\wheelA,frontwheel=\wheelA,showSlope=true,MonoAxis=false} +\psset{algebraic} +\def\psVehicle{\def\pst@par{}\pst@object{psVehicle}}% +\def\psVehicle@i#1#2#3{% +\pst@killglue% +\begingroup% +\use@par +%----------------------------------------------------------------------------------------------------- +\expandafter\ifx\pst@vehicle\HighWheeler\psset{rF=4,rB=1.13,d=5.8}\fi +\expandafter\ifx\pst@vehicle\Bike\psset{rF=1.6,rB=1.6,d=5.8}\fi +\expandafter\ifx\pst@vehicle\Truck\psset{rF=1.9,rB=1.9,d=6.28}\fi +\expandafter\ifx\pst@vehicle\Tractor\psset{rF=1,rB=1.4,d=4}\fi +\expandafter\ifx\pst@vehicle\UniCycle\psset{rB=1.6,MonoAxis=true}\fi +\expandafter\ifx\pst@vehicle\Segway\psset{MonoAxis=true}\fi +\begin@SpecialObj +\pst@Verb{% + /rpn { tx@AlgToPs begin AlgToPs end cvx } def% + /x0 #2 def % -------------- x-Wert des Punktes auf der Kurve, wo das Hinterrad die Kurve ber\"{u}hrt; von diesem Wert startet die Rechnung +%---- % Definition of the function f(x), its first derivative f'(x) and \sqrt{1+f'(x)^2} Definition de la fonction et la premiere derivee + /func (#3) rpn def + /Diff (Derive(1,#3)) rpn def + /DiffI (Derive(2,#3)) rpn def + /dAB (sqrt(1+Diff^2)) rpn def + /dABdiff (Derive(1,sqrt(1+(Derive(1,#3))^2))) rpn def + /x x0 def func /funcx0 exch def % ----- f(x0) + /x x0 def Diff /Diffx0 exch def % ----- f'(x0) + /x x0 def DiffI /DiffIx0 exch def % --- f''(x0) +% Calculating the length of the function between X1 and X2 ---- longueur de l'arc entre les points d'abscisse X1 et X2 % +/eps \pst@epsilon def +% Definition of a transmission between frontwheel and backwheel (interesting for vehicles with pedals) --- Gangschaltung +/Gang \pst@gang def +%% Definition of a scaling factor for the vehicles +#1 /skal exch def +%------------------ Radius frontwheel ----------------------------------------- +/rF \pst@rF def +/rB \pst@rB def +/dA12 \pst@d def +/rFs rF skal mul def +/rBs rB skal mul def +%--------% dA12 = Distance between the axes of the wheels ----- Achsabstand --- distance entre les axes +/dA12s dA12 skal mul def +/tA 1 1 Diffx0 dup mul add sqrt div def% +/deltax0 tA Diffx0 mul rBs mul def +/deltay0 tA rBs mul def +%--------- inferior value to search for the intersection point of the frontwheel with the curve +/Xinf x0 def % ---------------------------------- Untergrenze f\"{u}r die Schnittpunktsuche des Vorderrades mit der Kurve +% superior value to search for the intersection point of the frontwheel with the curve = x0 + distance axes + radius frontwheel + radius backwheel +/Xsup x0 dA12s add rBs rFs add add def % ---------- Obergrenze f\"{u}r die Schnittpunktsuche des Vorderrades mit der Kurve +%---% Calculating the intersection point of the frontwheel with the function------ Schnittpunktberechnung --------------------------------- +/NB 0 def %-----------------loop-variable ----- Laufvariable f\"{u}r loop +/NbreIterations 200 def % ---------- Maximum of iterations for the loop +/Function ((x-x0+rBs*Diffx0/(sqrt(1+(Diffx0)^2))-rFs*(Diff)/(sqrt(1+(Diff)^2)))^2+% + (func-funcx0+rFs/(sqrt(1+(Diff)^2))-rBs/(sqrt(1+(Diffx0)^2)))^2-dA12s^2) rpn def +{ %------------------------------------ loop begin --------------------- + /xM Xinf Xsup add 2 div def %--------- Mittelwert von xM = (Xinf + Xsup):2 + /x Xinf def + /F_1 Function def %----------------- F(Xinf) + /x xM def %------------------------- + /F_M Function def %----------------- F(xM) + F_M 0 eq {exit} if %---------------- if F(xM) = 0 --> exit + F_1 F_M mul 0 ge {/Xinf xM def} %-- F(Xinf) * F(xM) >= 0 Xinf = xM, else Xsup = xM + {/Xsup xM def} + ifelse + Xinf Xsup sub abs 1e-8 le {exit} if %- if Xinf - Xsup <= 10^-8 --> exit + /NB NB 1 add def %------------------- else loopvariable NB = NB + 1 Loopvariable um eins erh\"{o}hen + NB NbreIterations ge {exit} if %------ if number of iterations >= 200 --> exit + } loop +/FWx xM def +/FWy /x FWx def func def %----------------------- Ber\"{u}hrpunkt des Vorderrades (FWx,FWy) +/mFWy /x FWx def Diff def %----------------------- mFWy = Tangentensteigung in (FWx,FWy) +/TermFW 1 1 mFWy dup mul add sqrt div def % 1/sqrt(1+f'(x_Q)^2) +/deltaxFW TermFW mFWy mul rFs mul def % skal*rF*f'(x_Q)*1/sqrt(1+f'(x_Q)^2) +/deltayFW TermFW rFs mul def % skal*rF*1/sqrt(1+f'(x_Q)^2) +%------------------------------------------------------------------------------------ +/KWRho {DiffI 1 Diff dup mul add 3 exp sqrt div} def +/dPhiB {1 rBs div KWRho sub dAB mul abs} def +/AngleCumB { % + X1 X2 /x {dPhiB} eps SIMPSON + } def + /dPhiF {1 rFs div KWRho sub dAB mul abs} def +/AngleCumF { % + X1 X2 /x {dPhiF} eps SIMPSON + } def +% % length of the curve for the wheels -- La longueur de la courbe pour la roue avant --- Kurvenl\"{a}nge +/X1 0 def /X2 x0 def % Integral_{0}^{x0} +/sB AngleCumB def % ---backwheel - length from 0 to x0 ---- roue arri\`{e}re ---- Kurvenl\"{a}nge von 0 bis x0 (Hinterrad) +/X2 FWx def +/sF AngleCumF def % --frontwheel - length from 0 to the abscissa of the intersection frontwheel with curve - roue avant -- Kurvenl\"{a}nge von 0 bis zum SP Vorderrad - Kurve +%-------------------------------------------------------------------------------------------------------------------- +%---% Definition angle of rotation for the backwheel --- Definition de l'angle de roue arriere ---- Rotationswinkel des Hinterrades +/phiB sB RadToDeg neg def +%---% Definition angle of rotation for the frontwheel --- Definition de l'angle de roue avant ---- Rotationswinkel des Vorderrades +/phiF sF RadToDeg neg def +%--------------------------------------------------------------------------------------------------------------------- +%--% coordinates for the axes of the wheels within the non-scaled system -- Koordinaten der Vorderradachse im nicht skalierten System ( au{\ss}erhalb der \psscalebox ) +%---------------------------------------------------------------------------------------------------------------------- +/AFx FWx deltaxFW sub def % % x-coordinate front axis x-Koordinate der Vorderradachse +/AFy FWy deltayFW add def % % y-coordinate front axis y-Koordinate der Vorderradachse +/ABx x0 deltax0 sub def % % x-coordinate back axis x-Koordinate der Hinterradachse +/ABy funcx0 deltay0 add def % % y-coordinate back axis y-Koordinate der Hinterradachse +%--------------- Koordinaten der Vorderradachse im System des Fahrzeugs, also unskalierte Gr\"{o}{\ss}en verwenden --( innerhalb der \psscalebox ) +%--coordinates for the front axis of the wheels within \psscalebox -- Die Koordinaten der Hinterradachse sind im System des Fahrzeugs (0,0) +/AF1x dA12 dup mul rF rB sub dup mul sub sqrt def +/AF1y rF rB sub def +%------% slope and angle of the vehicle----------------------------------------------------------------------------- +/m-vehicle AFy ABy sub AFx ABx sub div def +/beta m-vehicle 1 atan def % % angle for both radii of front- and backwheel are equal -- Neigungswinkel des Fahrzeugs bei gleich gro{\ss}en R\"{a}dern +/alpha AF1y neg AF1x atan def % % additional angle if radii of front- and backwheel are not equal -- zus\"{a}tzlicher Winkel bei unterschiedlich gro{\ss}en R\"{a}dern +% whole angle (correction with +180 in case the whole angle gets 90 degrees which can be possible with not equal radii) +/gamma beta alpha add AFx ABx lt { 180 add } if def % gesamter Neigungswinkel des Fahrzeugs +%--------% Special case (mono-axis vehicle) Nr 4 --> segway --------------------------------------------------------------------------- +\ifPst@MonoAxis Diffx0 1 atan /omega exch def Diffx0 /mVehicle exch def \else FWy funcx0 sub FWx x0 sub div /mVehicle exch def mVehicle 1 atan /omega exch def \fi +/normNorm x0 FWx sub FWy funcx0 sub div dup mul 1 add sqrt def +/mTgy FWy funcx0 sub 0 eq { 1 } { x0 FWx sub FWy funcx0 sub div normNorm div } ifelse def +/mTgx FWy funcx0 sub 0 eq { 0 } { 1 normNorm div } ifelse def +/xMTg x0 FWx add 2 div def +/yMTg funcx0 FWy add 2 div def +}% +%------------------------%%%% END OF PS-CODE %%%%%-------------------------------------------------------- +\pnode(!FWx FWy){FW}% +% % angle between the axes angle de droite entre les axes +\rput{!gamma}(!ABx ABy){% Das Fahrzeug wird mit Hilfe der Hinterradachse (ABx,ABy) und Gesamtdrehwinkel gamma gesetzt +%------------------------- % SETTING SOME VEHICLES ------------------------------------------------------- +\psscalebox{#1}{%---------------Das Fahrzeug kann skaliert werden ----------------------------------------- +%\psset{linecolor=#2}% +\pst@vehicle}}% +\ifPst@showSlope +\rput{!omega}(!x0 mVehicle 0 ge { 0 add } { 100 add } ifelse funcx0 0.75 sub){% +\psframebox[fillstyle=solid,fillcolor=greenSlp,linestyle=none]{\footnotesize\color{white}$m\geq 0$}} +\rput{!omega}(!x0 mVehicle 0 lt { 0 add } { 100 add } ifelse funcx0 0.75 sub){% +\psframebox[fillstyle=solid,fillcolor=redSlp,linestyle=none]{\footnotesize\color{white}$m < 0$}} +\ifPst@MonoAxis +\psplotTangent[linewidth=0.75\pslinewidth,linecolor=orange,nodesep=-2]{x0}{1}{#3} +\psplotTangent[linewidth=0.75\pslinewidth,linecolor=greenSlp,Tnormal,nodesep=-2]{x0}{1}{#3} +\psdot[linecolor=red](!x0 funcx0) +\else +\pcline[linecolor=greenSlp,nodesepA=-1,nodesepB=-3](!xMTg yMTg)(!xMTg mTgy 0 ge { mTgx } { mTgx neg } ifelse add yMTg mTgy abs add) +\pcline[linecolor=magenta,nodesep=-2](FW)(!x0 funcx0) +\psdot[linecolor=red](FW) +\psdot[linecolor=red](!x0 funcx0) +\fi% +\fi% +\showpointsfalse +\end@SpecialObj +\endgroup\ignorespaces}% +% +\def\SlopeoMeter#1#2{% +\colorlet{slpmColor}{#1} +\rput{0}(0,0){% +\pscircle[fillstyle=solid,fillcolor=black!90,linewidth=0.5pt,linestyle=solid](0,0){2.2} +\rput{!#2}(0,0){% +\multido{\r=.500+-.008,\rC=0+0.02}{25}{% +\pscircle[linewidth=0.008,linecolor=slpmColor,strokeopacity=\rC](0,0){!\r} +} +\multido{\i=0+2,\r=.400+-.008,\rC=0+0.02}{50}{% +\pswedge[linestyle=none,linewidth=0,fillstyle=solid,fillcolor=slpmColor,opacity=\r](0,0){2}{\i}{!\i\space 2 add} +}} +\multido{\nA=-90+10}{19}{% +\psline[linecolor=slpmColor](1.8;\nA)(1.95;\nA) +\rput(1.65;\nA){\psscalebox{0.4}{\color{slpmColor!10}\nA}} +} +\rput(-0.95,0.85){\psscalebox{0.6}{\color{slpmColor!20}\texttt{Steigungswinkel}}} +\rput(-0.95,0.5){\psscalebox{0.75}{\color{slpmColor!40}\texttt{Slope-o-Meter}}} +\rput{!#2}(0,0){% +\pspolygon[fillstyle=solid,fillcolor=slpmColor!50,linecolor=slpmColor,linejoin=2,linewidth=0.1pt](0.1;15)(0.1;-15)(1.75;0) +\pscircle[fillstyle=solid,fillcolor=black,linestyle=none,linewidth=0pt](0,0){0.3} +}}} +\catcode`\@=\PstAtCode\relax +\endinput diff --git a/Master/texmf-dist/tex/latex/pst-vehicle/pst-vehicle.sty b/Master/texmf-dist/tex/latex/pst-vehicle/pst-vehicle.sty new file mode 100644 index 00000000000..a726ddecc08 --- /dev/null +++ b/Master/texmf-dist/tex/latex/pst-vehicle/pst-vehicle.sty @@ -0,0 +1,6 @@ +\RequirePackage{pstricks} +\ProvidesPackage{pst-vehicle}[2017/05/29 package wrapper for pst-vehicle.tex] +\input{pst-vehicle.tex} +\ProvidesFile{pst-vehicle.tex} + [\filedate\space v\fileversion\space `PST-vehicle'] +\endinput diff --git a/Master/tlpkg/bin/tlpkg-ctan-check b/Master/tlpkg/bin/tlpkg-ctan-check index a364b6368b1..cb12b9b92c9 100755 --- a/Master/tlpkg/bin/tlpkg-ctan-check +++ b/Master/tlpkg/bin/tlpkg-ctan-check @@ -511,7 +511,7 @@ my @TLP_working = qw( pst-shell pst-sigsys pst-slpe pst-solarsystem pst-solides3d pst-soroban pst-spectra pst-spinner pst-spirograph pst-stru pst-support pst-text pst-thick pst-tools pst-tree pst-tvz pst-uml - pst-vectorian pst-vowel pst-vue3d + pst-vectorian pst-vehicle pst-vowel pst-vue3d pst2pdf pstool pstricks pstricks-add pstricks_calcnotes pstring psu-thesis ptex-base ptex-fontmaps ptex-fonts ptex2pdf ptext ptptex punk punk-latex punknova purifyeps pxbase diff --git a/Master/tlpkg/libexec/ctan2tds b/Master/tlpkg/libexec/ctan2tds index ecdcec09ba3..1ed4f4435ea 100755 --- a/Master/tlpkg/libexec/ctan2tds +++ b/Master/tlpkg/libexec/ctan2tds @@ -957,6 +957,7 @@ chomp ($Build = `cd $Master/../Build/source && pwd`); 'pst-tree', "&MAKEpst", 'pst-tvz', "&MAKEpst", 'pst-uml', "&MAKEpst", + 'pst-vehicle', "&MAKEpst", 'pst-vue3d', "&MAKEpst", 'pst2pdf', "&MAKEflatten", 'pstdoc', "die 'skipping, requires python'", diff --git a/Master/tlpkg/tlpsrc/collection-pstricks.tlpsrc b/Master/tlpkg/tlpsrc/collection-pstricks.tlpsrc index e947b86833a..329109aba91 100644 --- a/Master/tlpkg/tlpsrc/collection-pstricks.tlpsrc +++ b/Master/tlpkg/tlpsrc/collection-pstricks.tlpsrc @@ -93,6 +93,7 @@ depend pst-tree depend pst-tvz depend pst-uml depend pst-vectorian +depend pst-vehicle depend pst-vowel depend pst-vue3d depend pst2pdf diff --git a/Master/tlpkg/tlpsrc/pst-vehicle.tlpsrc b/Master/tlpkg/tlpsrc/pst-vehicle.tlpsrc new file mode 100644 index 00000000000..e69de29bb2d --- /dev/null +++ b/Master/tlpkg/tlpsrc/pst-vehicle.tlpsrc |