From 2518cfffb2598c5733eedf4907b61bc31ab2bd86 Mon Sep 17 00:00:00 2001 From: Jean-Michel Sarlat Date: Wed, 14 Sep 2011 01:35:53 +0200 Subject: [PATCH] =?utf8?q?Une=20nouvelle=20s=C3=A9rie=20d'exemples=20:=20d?= =?utf8?q?es=20courbes=20param=C3=A9tr=C3=A9es?= MIME-Version: 1.0 Content-Type: text/plain; charset=utf8 Content-Transfer-Encoding: 8bit --- exemples/courbes/LISTE.txt | 26 ++++++++++++++++ exemples/courbes/Makefile | 14 +++++++++ exemples/courbes/cp01-1.pdf | Bin 0 -> 16537 bytes exemples/courbes/cp01-1.png | Bin 0 -> 180535 bytes exemples/courbes/cp01.mp | 57 ++++++++++++++++++++++++++++++++++++ exemples/courbes/cp02-1.pdf | Bin 0 -> 16254 bytes exemples/courbes/cp02-1.png | Bin 0 -> 112526 bytes exemples/courbes/cp02.mp | 55 ++++++++++++++++++++++++++++++++++ exemples/courbes/cp03-1.pdf | Bin 0 -> 11781 bytes exemples/courbes/cp03-1.png | Bin 0 -> 31898 bytes exemples/courbes/cp03.mp | 44 ++++++++++++++++++++++++++++ exemples/courbes/cp04-1.pdf | Bin 0 -> 14728 bytes exemples/courbes/cp04-1.png | Bin 0 -> 71079 bytes exemples/courbes/cp04.mp | 56 +++++++++++++++++++++++++++++++++++ exemples/courbes/cp05-1.pdf | Bin 0 -> 21668 bytes exemples/courbes/cp05-1.png | Bin 0 -> 87565 bytes exemples/courbes/cp05.mp | 56 +++++++++++++++++++++++++++++++++++ exemples/courbes/cp06-1.pdf | Bin 0 -> 15790 bytes exemples/courbes/cp06-1.png | Bin 0 -> 81708 bytes exemples/courbes/cp06.mp | 50 +++++++++++++++++++++++++++++++ exemples/courbes/cp07-1.pdf | Bin 0 -> 9897 bytes exemples/courbes/cp07-1.png | Bin 0 -> 32619 bytes exemples/courbes/cp07.mp | 45 ++++++++++++++++++++++++++++ exemples/courbes/cp08-1.pdf | Bin 0 -> 10546 bytes exemples/courbes/cp08-1.png | Bin 0 -> 35540 bytes exemples/courbes/cp08.mp | 57 ++++++++++++++++++++++++++++++++++++ exemples/courbes/index.xml | 3 ++ exemples/courbes/vue.xml | 1 + 28 files changed, 464 insertions(+) create mode 100644 exemples/courbes/LISTE.txt create mode 100644 exemples/courbes/Makefile create mode 100644 exemples/courbes/cp01-1.pdf create mode 100644 exemples/courbes/cp01-1.png create mode 100644 exemples/courbes/cp01.mp create mode 100644 exemples/courbes/cp02-1.pdf create mode 100644 exemples/courbes/cp02-1.png create mode 100644 exemples/courbes/cp02.mp create mode 100644 exemples/courbes/cp03-1.pdf create mode 100644 exemples/courbes/cp03-1.png create mode 100644 exemples/courbes/cp03.mp create mode 100644 exemples/courbes/cp04-1.pdf create mode 100644 exemples/courbes/cp04-1.png create mode 100644 exemples/courbes/cp04.mp create mode 100644 exemples/courbes/cp05-1.pdf create mode 100644 exemples/courbes/cp05-1.png create mode 100644 exemples/courbes/cp05.mp create mode 100644 exemples/courbes/cp06-1.pdf create mode 100644 exemples/courbes/cp06-1.png create mode 100644 exemples/courbes/cp06.mp create mode 100644 exemples/courbes/cp07-1.pdf create mode 100644 exemples/courbes/cp07-1.png create mode 100644 exemples/courbes/cp07.mp create mode 100644 exemples/courbes/cp08-1.pdf create mode 100644 exemples/courbes/cp08-1.png create mode 100644 exemples/courbes/cp08.mp create mode 100644 exemples/courbes/index.xml create mode 100644 exemples/courbes/vue.xml diff --git a/exemples/courbes/LISTE.txt b/exemples/courbes/LISTE.txt new file mode 100644 index 0000000..ac8d409 --- /dev/null +++ b/exemples/courbes/LISTE.txt @@ -0,0 +1,26 @@ +cp01-1.png +cp02-1.png +cp03-1.png +cp04-1.png +cp05-1.png +cp06-1.png +cp07-1.png +cp08-1.png +== Les sources +cp01.mp +cp02.mp +cp03.mp +cp04.mp +cp05.mp +cp06.mp +cp07.mp +cp08.mp +== Les PDF +cp01-1.pdf +cp02-1.pdf +cp03-1.pdf +cp04-1.pdf +cp05-1.pdf +cp06-1.pdf +cp07-1.pdf +cp08-1.pdf diff --git a/exemples/courbes/Makefile b/exemples/courbes/Makefile new file mode 100644 index 0000000..97f2863 --- /dev/null +++ b/exemples/courbes/Makefile @@ -0,0 +1,14 @@ +MP = $(wildcard *.mp) +PDF = $(patsubst %.mp, %-1.pdf, $(MP)) + + +png: $(PDF) +$(PDF) : %-1.pdf : %.mp + ~/bin/mptopdf $< && wpdf -png -rs 50 $@ + +liste: + ls *.png > LISTE.txt + 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b/exemples/courbes/cp02.mp @@ -0,0 +1,55 @@ +input gdd; +input gdd-rep; +input gdd-lbl; +input gdd-tra; +input svgnames; + +lblPreambule := "\usepackage[frenchb]{babel}" & + "\usepackage[garamond]{mathdesign}" & + "\usepackage{amsmath}"; + +input gdd-fct; +input gdd-plt; + +labeloffset := 6; +gddU:=1.2cm; + +vardef f(expr t) = sin(2*t+Pi/3) enddef; +vardef g(expr t) = sin(3*t) enddef; + +def avecCrayon(expr t,c) = withpen pencircle scaled t withcolor c enddef; + + + +beginfig(1); + + + Repere(8,8,4,4,3,3); + Axes; + Debut; + Graduations; Unites(1); + + drawoptions(withcolor LightSlateGrey); + trace ((-1,-1)--(-1,1)--(1,1)--(1,-1)--cycle); + trace ((-1,-1)--(1,1)); + trace (1,-1)--(-1,1); + trace Cercle(origine,1); + trace ((-1,0.5)--(1,0.5)); + trace ((-1,-0.5)--(1,-0.5)); + trace ((0.5,-1)--(0.5,1)); + trace ((-0.5,-1)--(-0.5,1)); + trace ((-1,sqrt(3)/2)--(1,sqrt(3)/2)); + trace ((-1,-sqrt(3)/2)--(1,-sqrt(3)/2)); + trace ((sqrt(3)/2,-1)--(sqrt(3)/2,1)); + trace ((-sqrt(3)/2,-1)--(-sqrt(3)/2,1)); + + trace Courbe(f,g,0,2*Pi,500) avecCrayon(1.5,Orchid); + + pointe Point(0,0); + + Fin; + + +endfig; + +end \ No newline at end of file diff --git a/exemples/courbes/cp03-1.pdf b/exemples/courbes/cp03-1.pdf new file mode 100644 index 0000000000000000000000000000000000000000..37d9454a1dd912de8b382c0759f6652671553b76 GIT binary patch literal 11781 zcmb_?2UL^G(>^G@NEcB`=pB+kfY79bUIhe{A^`$~4hdC2K&1EHMWh!|x*#3tMY=Q* zlqLd7FDn0Fxz~IBedjCZpOcf5o!yXMnuZe^KK!B6E zEkII|NKhT&XpOc3fT4h&A0k0Tq&*tp3J_GZhoccNgoTqOf=F7L2!(b(I~*VF*-zoItY}Lo2vx^1pxmLXdo<+a5*PWfDsTQ01Jr#gdkuOBFuDG%sc?( z`zUE?z|VC+nD#H9eyn4tWp0bGKobe-x|yTDudL|g>VR<%^ZR`S2%}6-!B7C>FG3UU zfB_7QRJDzfT*r+uB%-(dqIT{8I2`?{lNjC#~yi z{X9$cJBD8;ChstOV-(u;Wanx*lUV&)lz)1q!ldS8_^^9M$8Ucn1f0V7@T*&SZ+{i3MG_HfTi6Ku4!JGC|XZa0SM z%>8S(=waco#S5n=WhJD0t6$$Fb{BQ{SICMkf~@xUN=}apM3+H4tGDmiNh&sR58vP) zHsBw=A-W9x;B$J#O*i{-t>NwLQ*YgDpQ8u$QaGPxeVeSlx*Kss?lX?5-dlD$`cxpP 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t) = t*t enddef; +vardef g(expr t) = t*t*t enddef; + +def avecCrayon(expr t,c) = withpen pencircle scaled t withcolor c enddef; + + + +beginfig(1); + + + Repere(8,12,2,6,1,1); + Axes; + Debut; + Graduations; Unites(1); + + + trace Vecteur((0,0),(2,0)) avecCrayon(1,Crimson); + + trace Courbe(f,g,-3,3,300) avecCrayon(1.5,DarkTurquoise); + + pointe Point(0,0); + + Fin; + + +endfig; + +end \ No newline at end of file diff --git a/exemples/courbes/cp04-1.pdf b/exemples/courbes/cp04-1.pdf new file mode 100644 index 0000000000000000000000000000000000000000..107c42e03aee0fd56d2147aad867ebe1dec5858a GIT binary patch literal 14728 zcmb_@1yqz>*ET6#QqrTe)Xc!pAl=>F0}S1r3esKDB}k`)A}tLfUD74pAQ=3Ek59a> z@3+2K|EyWF=A5(p>~r7ytaWXA6$vRe5IYwp{m03kSxhbf5a4KL0}vF%d z9BNQkM|T%c$Alu(0%j`a=mpRR!Y8;uyZ}xJ*bo!W?gHlnKz>pQ3j==X0l~+A z`t*k$9c42csJR;^hq}9&+fU6>jxP3a_u#)jDL`;x8j?EfaDSmnruI+(6FY~w6OaoY zDJKg{=3lFK<|?_{o53UUCxfhmrK1GQ+zr6}hpA$JnF-;80C>6X%>3J*yC|!;IGU?N 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"\usepackage[frenchb]{babel}" & + "\usepackage[garamond]{mathdesign}" & + "\usepackage{amsmath}"; + +input gdd-fct; +input gdd-plt; + +labeloffset := 6; +gddU:=1.2cm; + +vardef f(expr t) = t*t-2*t enddef; +vardef g(expr t) = t*t + 1/(t*t) enddef; +vardef fp(expr t) = 2*t+t*t enddef; +vardef gp(expr t) = t*t enddef; + +def avecCrayon(expr t,c) = withpen pencircle scaled t withcolor c enddef; + + + +beginfig(1); + + + Repere(10,10,2,1,1,1); + Axes; + Debut; + Graduations; Unites(1); + + drawoptions(withcolor LightSlateGrey); + trace (3,0)--(3,2)--(-1,2)--(-1,0) dashed evenly; + trace (1,0)--(1,6)--(0,6) dashed evenly; + trace Courbe(fp,gp,-5,5,500); + + trace Vecteur((-1,2),(-1,2)+(0.5,2)) avecCrayon(1,Crimson); + trace Vecteur((3,2),(4,2)) avecCrayon(1,Crimson); + trace Vecteur((3,2),(2,2)) avecCrayon(1,Crimson); + + trace Courbe(f,g,-10,-0.05,300) avecCrayon(1.5,DarkGoldenrod); + trace Courbe(f,g,0.05,10,300) avecCrayon(1.5,DarkGoldenrod); + + pointe Point(0,0); + pointe Point(-1,2); + pointe Point(3,2); + pointe Point(1,6); + + Fin; + + +endfig; + +end \ No newline at end of file diff --git a/exemples/courbes/cp06-1.pdf b/exemples/courbes/cp06-1.pdf new file mode 100644 index 0000000000000000000000000000000000000000..5a289f99d582a82e9aa3cefc116e7e590199cedb GIT binary patch literal 15790 zcmbVz1z4O*vNjr=1dk9HEI7;z?l!o)1b3IgJrLa83Bf%H9wY>J*C2rq+}-UTa&mUh z?%Dh7z5hG|&)416-Bs1qUsuEXQYk>h7(q;|=u{&Uo!`(|0YHGAp(TKq7oAzg#MaEo z902A5{QjUbi&m4Z7Pb{R&tG2q%o1n$e%X zpK4X~BW{?W2N_OE961Qx#Mbz?9P9};2Rh4N=2CIDHvup!7?_!$GmF^SI+@ryIRYM( zQ9@@{GI6wXh8meT0>FP%$eI{i7zo?B0bT=P6)bEIKVThnSa&F_AAs$b6hA-U_dFn2 z`A?hvm`6k2(9*=n37uKl+0g0N%wl#>8<=^p-@hb4u)$PBHJD)bn#dX0m;h*)n2qd# z>@ZK+8=KPpZhcT!&e_Hg=8-=;NZOj(K`e}%0PKILD*O*M*|^vMoU9LO{?ncZFDpRp zjFe5B0Iy-@L&N~gDkg4D0GO1ho0GV*6U@!O)ui`w0wy6=0RHWr2PFTtpCvg@x_Eu3yG(W`C4Tufx0bb=ot9po%*1(K}_tAoyV# zwjU_wZz%(85vx(E7Z(n1aq6w6{qp?8h@U{JEN>H2>6sm(dz|l%XqY|m?~(<4Z*RK= z?#4ZCHt%nqMt{Bg)a`qIf43T}#e28;^^&<(%Dw#d;#PdSQ`hKA?4r+&Bm2#w@73t+ 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+++ b/exemples/courbes/cp06.mp @@ -0,0 +1,50 @@ +input gdd; +input gdd-rep; +input gdd-lbl; +input gdd-tra; +input svgnames; + +lblPreambule := "\usepackage[frenchb]{babel}" & + "\usepackage[garamond]{mathdesign}" & + "\usepackage{amsmath}"; + +input gdd-fct; +input gdd-plt; + +labeloffset := 6; +gddU:=1.2cm; + +vardef f(expr t) = 1/t + 1/(t+1) enddef; +vardef g(expr t) = 1/t + 1/(1+2*t+t**2) enddef; +vardef p(expr x) = x*(x+2)+2 enddef; + +def avecCrayon(expr t,c) = withpen pencircle scaled t withcolor c enddef; + + + +beginfig(1); + + + Repere(10,10,5,5,1,1); + Axes; + Debut; + Graduations; Unites(1); + + drawoptions(withcolor LightSlateGrey); + trace Droite(origine,Point(1,1)); + trace Representation(p,-3,1,20); + + trace Courbe(f,g,-20,-1.1,300) avecCrayon(1.5,Teal); + trace Courbe(f,g,-0.9,-0.1,300) avecCrayon(1.5,Teal); + trace Courbe(f,g,0.1,20,300) avecCrayon(1.5,Teal); + + pointe Point(0,0); + pointe Point(-1,0); + pointe Point(-0.526,-0.140); + + Fin; + + +endfig; + +end \ No 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+vardef f(expr t) = t/sqrt(1+t*t) enddef; +vardef g(expr t) = t*(1+f(t)) enddef; +vardef h(expr t) = -t*(1+f(t)) enddef; + +def avecCrayon(expr t,c) = withpen pencircle scaled t withcolor c enddef; + + + +beginfig(1); + + + Repere(6,10,3,5,2,2); + Axes; + Debut; + Graduations; Unites(1); + + trace Droite((1,-2),(1,2)) withcolor MidnightBlue; + + trace (-1,0)..Courbe(f,g,-18,18,200) avecCrayon(1.5,DarkSalmon); + trace (-1,0)..Courbe(f,h,-18,18,200) avecCrayon(1.5,DarkSalmon); + + pointe Point(0,0); + + Fin; + + +endfig; + +end \ No newline at end of file diff --git a/exemples/courbes/cp08-1.pdf b/exemples/courbes/cp08-1.pdf new file mode 100644 index 0000000000000000000000000000000000000000..fae155decfe36cdd12000591a8c8876baaeda0a4 GIT binary patch literal 10546 zcmbta1yqz<*9HL*L^>>RXb>1C7??qF=`pehDyi?;*8P@tm^xuCqg6CUFZ5|nqcz++@FRxZ{UatR4?9Nryc;Y{xRk#7>F z3n4(CNKS3dUP^Y%8;$E^Xd)p{Rv-x>$6&3G^nhQ$8szX_*3$KH#ef7gEo?F5f-){x zJO+!$fewt(CKuGk;9NZ1tuQzc?1w-NV{LDNcJT&Xh5!OMR2T$<3Y(Gx!`*>#AjF}T 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+input gdd-plt; + +labeloffset := 6; +gddU:=1.2cm; + +vardef f(expr t) = 2*sin(t) enddef; +vardef g(expr t) = 2*cos(t)*cos(t)/(2-cos(t)) enddef; +vardef h(expr t) = -t*(1+f(t)) enddef; + +def avecCrayon(expr t,c) = withpen pencircle scaled t withcolor c enddef; + +def traceDoubleVecteur(expr o,d)= drawdblarrow ((o-d)--(o+d)) gddEnPlace enddef; + +path bicorne; +bicorne = Courbe(f,g,-Pi,Pi,200)--cycle; + + + +beginfig(1); + + + Repere(9,6,4.5,1,2,2); + Axes; + Debut; + Axes; + Graduations; Unites(1); + + ColorieAvecTransparence(bicorne,CadetBlue,0.2); + + traceDoubleVecteur((0,2),(0.5,0)) avecCrayon(1,Crimson); + traceDoubleVecteur((0,2/3),(0.5,0)) avecCrayon(1,Crimson); + trace Vecteur((2,0),(1.6,0.4)) avecCrayon(1,Crimson); + trace Vecteur((-2,0),(-1.6,0.4)) avecCrayon(1,Crimson); + + trace bicorne avecCrayon(1.5,CadetBlue); + + pointe Point(0,0); + pointe Point(2,0); + pointe Point(-2,0); + + Fin; + + +endfig; + +end \ No newline at end of file diff --git a/exemples/courbes/index.xml b/exemples/courbes/index.xml new file mode 100644 index 0000000..adf66dc --- /dev/null +++ b/exemples/courbes/index.xml @@ -0,0 +1,3 @@ + + mp-gdd – Courbes paramétrées + diff --git a/exemples/courbes/vue.xml b/exemples/courbes/vue.xml new file mode 100644 index 0000000..b08ca69 --- /dev/null +++ b/exemples/courbes/vue.xml @@ -0,0 +1 @@ + \ No newline at end of file -- 2.20.1

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literal 0 HcmV?d00001 diff --git a/exemples/courbes/cp01.mp b/exemples/courbes/cp01.mp new file mode 100644 index 0000000..47e84c8 --- /dev/null +++ b/exemples/courbes/cp01.mp @@ -0,0 +1,57 @@ +input gdd; +input gdd-rep; +input gdd-lbl; +input gdd-tra; +input svgnames; + +lblPreambule := "\usepackage[frenchb]{babel}" & + "\usepackage[garamond]{mathdesign}" & + "\usepackage{amsmath}"; + +input gdd-fct; +input gdd-plt; + +labeloffset := 6; +gddU:=1.2cm; + +vardef f(expr t) = 2*cos(t)*cos(t)*cos(t) enddef; +vardef g(expr t) = 2*sin(t)*sin(t)*sin(t) enddef; + +def avecCrayon(expr t,c) = withpen pencircle scaled t withcolor c enddef; + + + +beginfig(1); + + + Repere(8,8,4,4,1.8,1.8); + Axes; + Debut; + Graduations; Unites(1); + + drawoptions(withpen pencircle scaled 0.5 withcolor LightSlateGrey); + trace ((-2,-2)--(-2,2)--(2,2)--(2,-2)--cycle); + + nb = 80; + pas = 2*Pi/nb; + for i=0 upto nb: trace (0,2*sin(i*pas))--(2*cos(i*pas),0); endfor; + + trace Vecteur((2,0),(1.2,0)) avecCrayon(1,RoyalBlue); + trace Vecteur((-2,0),(-1.2,0)) avecCrayon(1,RoyalBlue); + trace Vecteur((0,2),(0,1.2)) avecCrayon(1,RoyalBlue); + trace Vecteur((0,-2),(0,-1.2)) avecCrayon(1,RoyalBlue); + + trace Courbe(f,g,0,2*Pi,500) avecCrayon(1.5,DarkOrange); + + pointe Point(0,0); + pointe Point(2,0); + pointe Point(0,2); + pointe Point(0,-2); + pointe Point(-2,0); + + Fin; + + +endfig; + +end \ No newline at end of file diff --git a/exemples/courbes/cp02-1.pdf b/exemples/courbes/cp02-1.pdf new file mode 100644 index 0000000000000000000000000000000000000000..66dfda0d4e70a0a9374df89da8951ed62d89e05d GIT binary patch literal 16254 zcmbVT1z42Z)&>D-X-Q$|ju{wW= zxaZva-2eaQ8F*%|z4qQ~y?gENTi?uj>D8oU*nu2881%#AonJ9{09*hkGh2X=5C*3b z)X~b#8UTU-e!Va_Wo+!-pfCWZjJ>HFR0?YDWC6tx5y5bEgF#IlFubN&S3p`^2oh+i z>HWF8sdfd62}49ZC!KvwP=Js=C87G(n+&%dJpBg~;WLnaC9B_Z3Dy9xl022qN zxic3Cj+C>7CG)S|J9Aas9n9c}{60Y5(b7rE#@r3S`!|hD3*kt8VoK>rPauzD3kN4Y;oltg4a9(jfU)7vl>bZM; 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