From 1f9d2f4036645554c46f92209d5b4d417c5fd678 Mon Sep 17 00:00:00 2001 From: Jean-Michel Sarlat Date: Wed, 14 Sep 2011 20:37:36 +0200 Subject: [PATCH] =?utf8?q?Nouvelles=20s=C3=A9ries=20d'exemples=20:=20courb?= =?utf8?q?es=20en=20polaires?= MIME-Version: 1.0 Content-Type: text/plain; charset=utf8 Content-Transfer-Encoding: 8bit --- exemples/polaires/LISTE.txt | 23 ++++++++++ exemples/polaires/Makefile | 14 ++++++ exemples/polaires/index.xml | 3 ++ exemples/polaires/pol01-1.pdf | Bin 0 -> 15016 bytes exemples/polaires/pol01-1.png | Bin 0 -> 133426 bytes exemples/polaires/pol01.mp | 59 ++++++++++++++++++++++++ exemples/polaires/pol02-1.pdf | Bin 0 -> 21512 bytes exemples/polaires/pol02-1.png | Bin 0 -> 489740 bytes exemples/polaires/pol02.mp | 74 ++++++++++++++++++++++++++++++ exemples/polaires/pol03-1.pdf | Bin 0 -> 113215 bytes exemples/polaires/pol03-1.png | Bin 0 -> 651759 bytes exemples/polaires/pol03.mp | 55 +++++++++++++++++++++++ exemples/polaires/pol04-1.pdf | Bin 0 -> 9864 bytes exemples/polaires/pol04-1.png | Bin 0 -> 129740 bytes exemples/polaires/pol04.mp | 66 +++++++++++++++++++++++++++ exemples/polaires/pol05-1.pdf | Bin 0 -> 17819 bytes exemples/polaires/pol05-1.png | Bin 0 -> 277756 bytes exemples/polaires/pol05.mp | 82 ++++++++++++++++++++++++++++++++++ exemples/polaires/pol06-1.pdf | Bin 0 -> 9179 bytes exemples/polaires/pol06-1.png | Bin 0 -> 45335 bytes exemples/polaires/pol06.mp | 63 ++++++++++++++++++++++++++ exemples/polaires/pol07-1.pdf | Bin 0 -> 13788 bytes exemples/polaires/pol07-1.png | Bin 0 -> 48333 bytes exemples/polaires/pol07.mp | 53 ++++++++++++++++++++++ exemples/polaires/vue.xml | 1 + 25 files changed, 493 insertions(+) create mode 100644 exemples/polaires/LISTE.txt create mode 100644 exemples/polaires/Makefile create mode 100644 exemples/polaires/index.xml create mode 100644 exemples/polaires/pol01-1.pdf create mode 100644 exemples/polaires/pol01-1.png create mode 100644 exemples/polaires/pol01.mp create mode 100644 exemples/polaires/pol02-1.pdf create mode 100644 exemples/polaires/pol02-1.png create mode 100644 exemples/polaires/pol02.mp create mode 100644 exemples/polaires/pol03-1.pdf create mode 100644 exemples/polaires/pol03-1.png create mode 100644 exemples/polaires/pol03.mp create mode 100644 exemples/polaires/pol04-1.pdf create mode 100644 exemples/polaires/pol04-1.png create mode 100644 exemples/polaires/pol04.mp create mode 100644 exemples/polaires/pol05-1.pdf create mode 100644 exemples/polaires/pol05-1.png create mode 100644 exemples/polaires/pol05.mp create mode 100644 exemples/polaires/pol06-1.pdf create mode 100644 exemples/polaires/pol06-1.png create mode 100644 exemples/polaires/pol06.mp create mode 100644 exemples/polaires/pol07-1.pdf create mode 100644 exemples/polaires/pol07-1.png create mode 100644 exemples/polaires/pol07.mp create mode 100644 exemples/polaires/vue.xml diff --git a/exemples/polaires/LISTE.txt b/exemples/polaires/LISTE.txt new file mode 100644 index 0000000..1768540 --- /dev/null +++ b/exemples/polaires/LISTE.txt @@ -0,0 +1,23 @@ +pol01-1.png +pol02-1.png +pol03-1.png +pol04-1.png +pol05-1.png +pol06-1.png +pol07-1.png +== Les sources +pol01.mp +pol02.mp +pol03.mp +pol04.mp +pol05.mp +pol06.mp +pol07.mp +== Les PDF +pol01-1.pdf +pol02-1.pdf +pol03-1.pdf +pol04-1.pdf +pol05-1.pdf +pol06-1.pdf +pol07-1.pdf diff --git a/exemples/polaires/Makefile b/exemples/polaires/Makefile new file mode 100644 index 0000000..97f2863 --- /dev/null +++ b/exemples/polaires/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 + echo '== Les sources' >> LISTE.txt + ls *.mp >> LISTE.txt + echo '== Les PDF' >> LISTE.txt + ls *.pdf >> LISTE.txt \ No newline at end of file diff --git a/exemples/polaires/index.xml b/exemples/polaires/index.xml new file mode 100644 index 0000000..f659146 --- /dev/null +++ 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enddef; + +vardef u(expr v) = sqrt(v*v+4) enddef; + +vardef rp(expr t) = (r(t)*cos(t),r(t)*sin(t)) enddef; + +def traceDoubleVecteur(expr o,d)= drawdblarrow ((o-d)--(o+d)) gddEnPlace enddef; + +def avecCrayon(expr t,c) = withpen pencircle scaled t withcolor c enddef; + + +a = arccos(1/sqrt(3)); + + + +beginfig(1); + + + Repere(10,6,5,3,3,3); + Axes; + Debut; + Graduations; + + drawoptions(withcolor Gainsboro); + + nb = 40; + pas = Pi / (2*nb); + + for i:=0 upto nb: + trace Droite((0,0),(cos(-Pi/4+i*pas),sin(-Pi/4+i*pas))); + endfor; + + trace Droite((0,0),(1,1)); + trace Droite((0,0),(-1,1)); + + trace CourbeEnPolaires(rh,-Pi/4+0.01,Pi/4-0.01,150) + avecCrayon(0.75,Crimson); + trace CourbeEnPolaires(rhi,-Pi/4+0.01,Pi/4-0.01,150) + avecCrayon(0.75,Crimson); + + + traceDoubleVecteur((0,0),0.25(1,1)) avecCrayon(1,LightSalmon); + traceDoubleVecteur((0,0),0.25(-1,1)) avecCrayon(1,LightSalmon); + traceDoubleVecteur((1,0),(0,0.2)) avecCrayon(1,LightSalmon); + traceDoubleVecteur((-1,0),(0,0.2)) avecCrayon(1,LightSalmon); + traceDoubleVecteur(rp(Pi/6),(0.2,0)) avecCrayon(1,LightSalmon); + traceDoubleVecteur(rp(-Pi/6),(0.2,0)) avecCrayon(1,LightSalmon); + traceDoubleVecteur(rp(5Pi/6),(0.2,0)) avecCrayon(1,LightSalmon); + traceDoubleVecteur(rp(-5Pi/6),(0.2,0)) avecCrayon(1,LightSalmon); + + trace (0,0)--CourbeEnPolaires(r,-Pi/4+0.0001,Pi/4-0.0001,150)--cycle + avecCrayon(1.5,LightSlateGrey); + trace (0,0)--CourbeEnPolaires(ri,-Pi/4+0.0001,Pi/4-0.0001,150)--cycle + avecCrayon(1.5,LightSlateGrey); + + pointe Point(0,0); + + Fin; + + +endfig; + +end \ No newline at end of file diff --git a/exemples/polaires/pol06-1.pdf b/exemples/polaires/pol06-1.pdf new file mode 100644 index 0000000000000000000000000000000000000000..b824af8247b0d49c235f12aca95fd2e1fb96794f GIT binary patch literal 9179 zcmb_?2{@GB+rNs^SW7B|5weXjtDWroGWMOA8Cwj-SPM~63E9#j*-|J%WM3=Fn(TX# zEnAXZ{?ACu_gnAv`@Qe=pKG}0+~+>$+}nAc`+V-hi&0V$hC@*x-nNdHJs=bq26nS^ 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+ +labeloffset := 6; +gddU:=1.5cm; + +vardef r(expr t) = cos(t)*cos(t)*cos(t)-sin(t)*sin(t)*sin(t) enddef; + +vardef rp(expr t) = (r(t)*cos(t),r(t)*sin(t)) enddef; + +def traceDoubleVecteur(expr o,d)= drawdblarrow ((o-d)--(o+d)) gddEnPlace enddef; + +def avecCrayon(expr t,c) = withpen pencircle scaled t withcolor c enddef; + + +a = arccos(1/sqrt(3)); + + + +beginfig(1); + + + Repere(6,6,2,4,3,3); + Axes; + Debut; + Graduations; Unites(1); + + drawoptions(withcolor Gainsboro); + + trace (0,0)--rp(-Pi/12); + trace (0,0)--rp(-Pi/4); + trace (0,0)--rp(-5Pi/12); + + traceDoubleVecteur(rp(Pi/4),(0.18,0.18)) avecCrayon(1,DarkOrchid); + traceDoubleVecteur(rp(-Pi/4),(0.18,0.18)) avecCrayon(1,DarkOrchid); + traceDoubleVecteur(rp(-Pi/12),(0.18,0.18)) avecCrayon(1,DarkOrchid); + traceDoubleVecteur(rp(-5Pi/12),(0.18,0.18)) avecCrayon(1,DarkOrchid); + + trace CourbeEnPolaires(r,-Pi/2,Pi/2,150) avecCrayon(1.5,Crimson); + + drawoptions(withcolor LightGoldenrod); + + pointe Point(0,0); + pointe rp(-Pi/12); + pointe rp(-Pi/4); + pointe rp(-5Pi/12); + + Fin; + + +endfig; + +end \ No newline at end of file diff --git a/exemples/polaires/pol07-1.pdf b/exemples/polaires/pol07-1.pdf new file mode 100644 index 0000000000000000000000000000000000000000..f2684c112f537050e2872233743c441d3fe4c6fd GIT binary patch literal 13788 zcmb_@1yoes*FGsJAc%m}&>%HKcQZ(LcMRR#0wN(Tp)?{OC5Uu)NlSOvP|_*<2VdX* zed~+$ziXH^XPCF&+4>FvL6mkeU#NOnv6zD=KoG{o;AUq6gXH%S()Q*K5>}?J0IuI`75l?ZPF_v`568Woe>!vzvy!ue zsVc-3pbPU~0t{ePgLt|EU|N!%u2QP5Fr0sGh6*=;`2LRJ+J z5WxHE7aIW9fC*vy0{i^Fi@faY?EmflrR}B3mbwYLCth!A?waF#?Hcv)h*P5WE=cIW zzEGlhT^Nh-aA}b}1JpQJKO_~Tq{E@KU35M*YtWaG@fO5taCh?Tz!U%0Ysj|>=r#qes_}CfhAbfd`>vy+;ANU6C9mt z-mNa)9FjNR)(sv<7ko;6vUA#fcLNj08{W3V#2Ty&3;X3s2v+-x%@dkJx3{6CcPCe@ z!h?!0hA#b_8>2leJ(~UR_Ad!fhnFVv4>Dqul_x!8jzQ4+O_#ABr>0}0$DqQHB&V}( zSm%(kX$QZ5q_?+_R66J4UU&Y-P1CW1F-zB5RFLB>4`bT+t`$yK@oPnTcH-v7Nd!}Q1mt|Ld4&+76 zf6U=OymK^Ls;oGad54XzJuudDtV$&n{ 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"\usepackage{amsmath}"; + +input gdd-fct; +input gdd-plt; + +labeloffset := 6; +gddU:=1.5cm; + +vardef r(expr t) = 4*cos(t/3)*cos(t/3)*cos(t/3) enddef; + +vardef rp(expr t) = (r(t)*cos(t),r(t)*sin(t)) enddef; + +def traceDoubleVecteur(expr o,d)= drawdblarrow ((o-d)--(o+d)) gddEnPlace enddef; + +def avecCrayon(expr t,c) = withpen pencircle scaled t withcolor c enddef; + + +a = arccos(1/sqrt(3)); + + + +beginfig(1); + + + Repere(8,8,2,4,1,1); + Axes; + Debut; + Graduations; Unites(1); + + drawoptions(withcolor Gainsboro); + + + trace CourbeEnPolaires(r,0,3Pi,450) + avecCrayon(1.5,Crimson); + + drawoptions(withcolor LightGoldenrod); + + pointe Point(0,0); + + Fin; + + +endfig; + +end \ No newline at end of file diff --git a/exemples/polaires/vue.xml b/exemples/polaires/vue.xml new file mode 100644 index 0000000..b08ca69 --- /dev/null +++ b/exemples/polaires/vue.xml @@ -0,0 +1 @@ + \ No newline at end of file -- 2.20.1