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Diffstat (limited to 'Master/texmf-dist/source/latex/animate/files/pstmetronome.tex')
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diff --git a/Master/texmf-dist/source/latex/animate/files/pstmetronome.tex b/Master/texmf-dist/source/latex/animate/files/pstmetronome.tex new file mode 100644 index 00000000000..bb847e6f8b8 --- /dev/null +++ b/Master/texmf-dist/source/latex/animate/files/pstmetronome.tex @@ -0,0 +1,233 @@ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% animated metronome +% this code is based to 99.9 percent on the work by Manuel Luque +% (pstricks.blogspot.com) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\makeatletter +\pst@addfams{pst-metronome} +\define@key[psset]{pst-metronome}{theta0}{\def\psk@oscmetronomethetai{#1 }} +\psset[pst-metronome]{theta0=45} % position initiale du metronome +\define@key[psset]{pst-metronome}{M}{\def\psk@oscmetronometM{#1 }} +\psset[pst-metronome]{M=25} % masse du disque en g +\define@key[psset]{pst-metronome}{m}{\def\psk@oscmetronometm{#1 }} +\psset[pst-metronome]{m=6} % masse du curseur en g +\define@key[psset]{pst-metronome}{r}{\def\psk@oscmetronomer{#1 }} +\psset[pst-metronome]{r=1} % rayon du disque en cm +\define@key[psset]{pst-metronome}{x}{\def\psk@oscmetronomex{#1 }} +\psset[pst-metronome]{x=8.4} % position du curseur en cm par rapport à l'axe +\define@key[psset]{pst-metronome}{d}{\def\psk@oscmetronomed{#1 }} +\psset[pst-metronome]{d=3.2} % distance de l'axe au centre du disque en cm +\define@key[psset]{pst-metronome}{dt}{\def\psk@oscmetronomedt{#1 }} +\psset[pst-metronome]{dt=0.01} % pas pour RK4 +\define@key[psset]{pst-metronome}{nT}{\def\psk@oscmetronomenT{#1 }} +\psset[pst-metronome]{nT=1} % nombre de périodes représentées +%---- calculer theta(t) et thetapoint(t) -------- +\def\psmetronome{\pst@object{psmetronome}} +\def\psmetronome@i{% +\begingroup% +\use@par% + \begin@SpecialObj% + \pstVerb{% + /deg2rad {180 div 3.14159 mul} def + /rad2deg {180 mul 3.14159 div} def + /gp 9.8 def % pesanteur + /radius \psk@oscmetronomer 1e-2 mul def % en m + /OA \psk@oscmetronomed 1e-2 mul def % distance de l'axe au centre du disque en m + /xC \psk@oscmetronomex 1e-2 mul def % position du curseur en m par rapport à l'axe + /theta0 \psk@oscmetronomethetai def % en degrés + /theta0rad theta0 deg2rad def % en radians + /Md \psk@oscmetronometM 1e-3 mul def % en kg + /mc \psk@oscmetronometm 1e-3 mul def % en kg + /dt \psk@oscmetronomedt def + /nT \psk@oscmetronomenT def + % moment d'inertie du métronome + % J=1/2M*R^2+M*a^2+m*x^2 + /Ji {0.5 Md mul radius dup mul mul Md OA dup mul mul add mc xC dup mul mul add} def + /AT {4 + Ji + gp Md OA mul mc xC mul sub mul + div + sqrt + mul} def + % Pour le calcul de la période + % coefficients de l'approximation polynômiale du calcul + % de l'intégrale elliptique +% coefficient pour le calcul de l'intégrale elliptique + /m0 theta0 2 div sin def + /m1 {1 m0 dup mul sub} def + /m2 {m1 dup mul} def + /m3 {m2 m1 mul} def + /m4 {m2 dup mul} def + /m_1 {1 m1 div} def + /EllipticK { + 0.5 + 0.12498593597 m1 mul add + 0.06880248576 m2 mul add + 0.03328355376 m3 mul add + 0.00441787012 m4 mul add + m_1 ln mul + 1.38629436112 add + 0.09666344259 m1 mul add + 0.03590092383 m2 mul add + 0.03742563713 m3 mul add + 0.01451196212 m4 mul add + } def +/Tm {AT EllipticK mul} def +% tableau des valeurs de theta(t) + /W 0 def % vitesse angulaire + /theta theta0 def + /oscillateur {sin gp Md OA mul mc xC mul sub mul neg mul Ji div} def + /j1 {W dt mul} def + /k1 {theta oscillateur dt mul} def + /j2 {W k1 2 div add dt mul} def + /k2 {theta j1 2 div rad2deg add oscillateur dt mul} def + /j3 {W k2 2 div add dt mul} def + /k3 {theta j2 2 div rad2deg add oscillateur dt mul} def + /j4 {W k3 add dt mul} def + /k4 {theta j3 rad2deg add oscillateur dt mul} def + /theta2 {theta j1 rad2deg 2 j2 rad2deg j3 rad2deg add mul add j4 rad2deg add 6 div add} def +/tabTheta [ % pour l'animation + 0 theta0 % date angle +dt dt Tm nT mul{ % + theta2 % + /W2 W k1 2 k2 k3 add mul add k4 add 6 div add def + /theta theta2 def + /W W2 def + } for + ] def +/Nvaleurs tabTheta length 2 div cvi def + /W 0 def % vitesse angulaire + /theta theta0 def +/tabThetaGraph [ % pour le graphique theta(t) + 0 theta0 % date angle +0 dt Tm nT mul { % pop + theta2 % 180 div 3.14159 mul + /W2 W k1 2 k2 k3 add mul add k4 add 6 div add def + /theta theta2 def + /W W2 def + } for + ] def + /W 0 def % vitesse angulaire + /theta theta0 def +/tabThetaPoint [ % pour le graphique thetapoint(t) + 0 0 % date angle +dt dt Tm nT mul { % pop +% theta2 % 180 div 3.14159 mul + /W2 W k1 2 k2 k3 add mul add k4 add 6 div add def + W2 + /theta theta2 def + /W W2 def + } for + ] def +/tabXOSC [ % oscillations par min en fonction de x +0.5 0.1 12 {/xc exch def + /xC xc 1e-2 mul def + xc 60 Tm div % cvi + } for + ] def +/tabXbattements [ % battements par min en fonction de x +3 0.1 12 {/xc exch def + /xC xc 1e-2 mul def + xc 60 Tm div 2 mul % cvi + } for + ] def +% graduation T --> x +/tabXT [ % [T,x] + 40 1 220 {/batt exch def % battements + /Tmetronome2 120 batt div dup mul def + /A1 16 mc mul EllipticK dup mul mul def + /B1 gp Tmetronome2 mul mc mul def + /C1 gp Md mul OA mul Tmetronome2 mul neg + 8 Md mul radius dup mul mul 16 Md mul OA dup mul mul add EllipticK dup mul mul add def + /Delta B1 dup mul 4 A1 mul C1 mul sub sqrt def + /xC1 B1 neg Delta sub 2 div A1 div def + /xC2 B1 neg Delta add 2 div A1 div def + xC2 0 ge {/posC xC2 def}{/posC xC1 def} ifelse + batt posC 1e2 mul + } for + ] def +/xT { % pour une valeur particulière battement -> position du curseur + /batt exch def + /Tmetronome2 120 batt div dup mul def + /A1 16 mc mul EllipticK dup mul mul def + /B1 gp Tmetronome2 mul mc mul def + /C1 gp Md mul OA mul Tmetronome2 mul neg + 8 Md mul radius dup mul mul 16 Md mul OA dup mul mul add EllipticK dup mul mul add def + /Delta B1 dup mul 4 A1 mul C1 mul sub sqrt def + /xC1 B1 neg Delta sub 2 div A1 div def + /xC2 B1 neg Delta add 2 div A1 div def + xC2 0 ge {/posC xC2 def}{/posC xC1 def} ifelse + posC 1e2 mul + } def +/xC \psk@oscmetronomex 1e-2 mul def % position du curseur en m par rapport à l'axe +/Tm {AT EllipticK mul} def + }% + \end@SpecialObj% +\endgroup} +% +\def\psmetronomeA{\pst@object{psmetronomeA}} +\def\psmetronomeA@i{% +\begingroup% +\use@par% + \begin@SpecialObj% + \pstVerb{% + /radius \psk@oscmetronomer 1e-2 mul def % en m + /OA \psk@oscmetronomed 1e-2 mul def % distance de l'axe au centre du disque en m + /xC \psk@oscmetronomex 1e-2 mul def % position du curseur en m par rapport à l'axe + }% +\psframe[fillstyle=solid](! -0.075 \psk@oscmetronomed neg)(0.075,13) +\pscircle[fillstyle=solid,fillcolor={[rgb]{0.75 0.75 0.75}}](! 0 \psk@oscmetronomed neg){!radius 1e2 mul} +\pscircle[fillstyle=solid,linewidth=0.05](0,0){0.15} +\pscircle*[linecolor=red](0,0){0.05} +% curseur +\pspolygon[fillstyle=solid](! -0.25 \psk@oscmetronomex 0.5 sub)(! -0.5 \psk@oscmetronomex 0.5 add)(!-0.075 \psk@oscmetronomex 0.5 add)(!-0.075 \psk@oscmetronomex 0.5 sub) +\pspolygon[fillstyle=solid](! 0.25 \psk@oscmetronomex 0.5 sub)(! 0.5 \psk@oscmetronomex 0.5 add)(!0.075 \psk@oscmetronomex 0.5 add)(!0.075 \psk@oscmetronomex 0.5 sub) +\pspolygon[fillstyle=solid,fillcolor=gray](! -0.25 \psk@oscmetronomex 0.5 sub)(! -0.3 \psk@oscmetronomex 0.3 sub)(! -0.075 \psk@oscmetronomex 0.3 sub)(!-0.075 \psk@oscmetronomex 0.3 add)(!0.075 \psk@oscmetronomex 0.3 add)(!0.075 \psk@oscmetronomex 0.3 sub)(!0.3 \psk@oscmetronomex 0.3 sub)(!0.25 \psk@oscmetronomex 0.5 sub) +\pscircle[fillstyle=solid](!-0.125 \psk@oscmetronomex 0.4 sub){0.08} +\pscircle[fillstyle=solid](!0.125 \psk@oscmetronomex 0.4 sub){0.08} +% fin curseur +{\psset{linecolor=red} +\psline(!-.1 \psk@oscmetronomex)(!0.1 \psk@oscmetronomex)\psline(!0 \psk@oscmetronomex 0.1 sub)(!0 \psk@oscmetronomex 0.1 add) +\psline(! -.1 \psk@oscmetronomed neg)(!0.1 \psk@oscmetronomed neg)\psline(! 0 \psk@oscmetronomed neg 0.1 sub)(!0 \psk@oscmetronomed neg 0.1 add)} +\pnode(!0 \psk@oscmetronomex){C}% curseur +\pnode(! 0 \psk@oscmetronomed neg){D}% disque +\pstextpath[c](0,-2ex){\psarcn[linestyle=none](D){1}{180}{0}}{\small\textsf{\textbf{m e t r o n o m e}}} +\pstextpath[c](0,1ex){\psarc[linestyle=none](D){1}{180}{0}}{\small\textsf{\textbf{P S t r i c k s}}} + \end@SpecialObj% +\endgroup} +\psmetronome% +\pstVerb{/tabTempos [40 42 44 46 48 50 52 54 46 58 60 63 66 69 72 76 80 84 88 92 96 100 104 108 112 116 120 126 132 138 144 152 160 168 176 184 192 200 208] def}% + +\def\metronomebody{% + \pspolygon[fillstyle=solid,linewidth=2\pslinewidth,linearc=0.5,fillcolor=yellow!30](-5,-4.5)(5,-4.5)(1,14)(-1,14) + \psline(1.2,4.5)(1.2,12.5) + \psline(-1.2,4.5)(-1.2,12.5) + \multido{\i=0+2}{20}{% + \pstVerb{/BATT tabTempos \i\space get def} + \psline[linecolor=red](!1.2 BATT xT)(!0.7 BATT xT) + \uput[r](!0.7 BATT xT){\psPrintValue[PSfont=Helvetica,fontscale=6]{BATT}} + }% + \multido{\i=1+2}{19}{% + \pstVerb{/BATT tabTempos \i\space get def} + \psline[linecolor=red](!-1.2 BATT xT)(!-0.7 BATT xT) + \uput[r](!-1.3 BATT xT){\psPrintValue[PSfont=Helvetica,fontscale=6]{BATT}}}% + \rput(!0 40 xT){\textsf{\tiny GRAVE}}% + \rput(!0 46 xT){\textsf{\tiny LARGO}}% + \rput(!0 52 xT){\textsf{\tiny LENTO}}% + \rput(!0 58 xT){\textsf{\tiny ADAGIO}}% + \rput(!0 60 xT){\textsf{\tiny LARGETTO}}% + \rput(!0 66 xT){\textsf{\tiny ANDANTE}}% + \rput(!0 76 xT){\textsf{\tiny ANDANTINO}}% + \rput(!0 84 xT){\textsf{\tiny MODERATO}}% + \rput(!0 108 xT){\textsf{\tiny ALLEGRETTO}}% + \rput(!0 132 xT){\textsf{\tiny ALLEGRO}}% + \rput(!0 160 xT){\textsf{\tiny VIVACE}}% + \rput(!0 184 xT){\textsf{\tiny PRESTO}}% + \rput(!0 200 xT){\textsf{\tiny PRESTISSIMO}}% +} + +\def\pendulum#1{% + \pstVerb{/iA #1\space def /date tabTheta iA get def /Theta tabTheta iA 1 add get def}% + \rput{!Theta}{\psmetronomeA}% +} +\makeatother |