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[其他] 三维函数绘图工具

本帖最后由 slimay 于 2021-4-30 15:59 编辑
三维函数绘图工具fp3.exe
fp3 sin(x)*cos(y-t)   5 3

用法:  fp3.exe [函数] [取值半径] [观察距离]


存a.txt,第三方工具解码 bse -d92 a.txt a.7z
  1. 5P@ke?Sx!+K/RIU},4!!!!!!%%!!!!!!!!)sG*:i#Hc(lztW/UlifQ&5NV&${1](V&/@(xe{I/(F>N()|jLlB*Rbu8g]-I_j%@@)_MKe8r74alT+hCsb.SU%CdPF^ijuJ*OI!YY;hXRh!PsZ/f-cJ9i5+cLMMZ@e*opjxS7>&k7];:_Dp9#2y*D)\}Iyq*m!9<N)-{v|$@RFT<n=Uq)Id;YAY%JYmM/K5O\WhMn69I&U59fQh4:C(g@d!0Zo|:\JWg&B!@C#pG%H\h)'2pd#)-@(k@{{r>^L\mA476,pB3c#nXO?ozvBXYe?G{/3/ci1sCGifhcgATZ\S]0m5CqWXZO\LV.@\M-kLYRWD*,{d2&V$VPNR&]{6sOS#_QL7U8,FUi'cY]02X+9!SkS9e;u4dw*C{/E*#C;Z3\G2.9mt.3Z/=B-Kbe(u'6!R|O!eCEc-DeiAcceL9)Z/K5UdZ8b7fo@:X!c2NpIc8G|j7_6Y'F$&)Vo]o48U8ayBG;[%%+'h30dxEFT$N;;mMOMJ>s@_|_g?orUY:UkM5r%A1q3v1AsF!od@l$qU79l35]UzT<ED@/rmoGQ29%JpOAD-@h%r:xeS^X&9grmtx<CdSM#eIpfK)'Fzhuc69N+|x%M,LN#+=WE)%+,yODFDDJzspJYB>f?[vD]sqaUyQG,)Ww&)dhZ3JnU3QOW7QWZNX9v@6GlM)A]2'|g{qCE$A+lN@r(=,;@EjM'D4i(k>q+{QEr5h,RN|14/nDHnp(v*=XL3?kNn(6NFVJO;gi;S.b{M^E5);L4b/&n1hB}$>M'O:6Tv*me|V1Ys^/+Z}M?Y[x3IZMNx0:o8g2Zr?ow[I)WKX<SJFb#UCY<bciFA+qOUz4z3SEoELSQkWUh1Zl+5)dG,yRYS_0yXl>4F02T<H2[{mcu&;US-u|<[|BOSaq^_Vy;x7'H$8T7e?WqE^WTvO'/8<cM(n<(CbOjh+HN&6U3fZZzcalL:r(tUa2,)9_EM.n]VjkN!IOkU';qJn:k6pj-=7={]hoqOWMeY+'[C@j?kpZYsUw3,d&Av}85rhlsm{S2vZ3F7#@^i}XX-]'anuW.y*CsoCfriP],:&4SYVv?.hK=8H19=YVn]3$<Hb%oD$!qys?mVS\j3lKSO-k_g?T0%i>pxGwSR<_,^y=!>f;BfvY-72jo2_PTqw@eV^8=qkT/iYvp]vMgJ.zO$>>ijBqW[F|.6/<Lk<E6Ry|H>T5S)HRmwoP-_Kdxag!#n+AZzLS_rHhiI2YfUL2PUkbgkE%0{^bTyc%-htx&)cuTa3i/b2AycD^?J)X'S*{6i>$E6Y)t2Uz)iBDX<6x_#!u;pFp=_nMOW%pIRP9^lw''%{8(O16ABn0]^NcQ#O84SE0c+<trWS5K:[PN].De1d+MD}8=W5CHW3!U:3|ZZCZP[[U5ttK(Lu,AuZ?jV:qeoOw>0-aj?\f(PC8j38V&E$;8x>OL)wl7FO[m6HLLcL_Jm5t}HF7@%p)aCU9<YJmg-n2pg:SI37@VL;X8)2?T6bG}HLG2z'w(;n@)3=)Q<|z18!LE1-oR_U?TRPskz=Sl2D72NLrdJUUvT6O7tM_bQD\|t82R9e8pt>erhgT2=Fq>Z}TDl&2RuUh$eid7Np%Se|2T-Vv=&?!0:eH&I!Vr1eu3k@9^8'RoWX^UY)W!)qX.J8;wsvES*[Cl{Fq!ds]Hq|<>*pm(!-I|YfGX.L?t#?IiJH+Bm_F)k21clv!we\nS8VYuy>vC|X|$^SJMGM>mqf/GAN9}WpE+v-l'=#f.mY)}lZ6f^B!%f|3!-%9/oUik2gj{=v]<|$_-b38cNe@C4U)6y<O(/$|PC.f}Tbf]L!_AnF#0a6B+]3b{>@sy6VYXEbM6'3rV|{H_8-&RW@&58%J_yVeOfl-:UL!lWV1p>1SRQ3HwRu)0|wQh(O9awbeibJhs=?9}]W)R?jZ#t$/GFf-qiMD%:SOt/=)^C>TF8x7;eVRY9],:PC=$]RFmpvFR'frYU=@uT'AsQ#n'@pd=Pj5Kn=A6DmwgR+fjf)\(kr6mm@2ad(2mu<>iR6:Gp!W-nOu'XQ#z:?hEwq#+-_FO[@z<kG;xTbd6G]tx)g-8n_!^:A^D@FW}/sF@a;x4k-5qg&d;zWD)TdmWI}MlB3hxgBGK%A0wYcC?6_z]3n)P/?9S,ud^H^\o%}|uTnpHn,v9PmIaEWD[VBsdVfP/d@t_jvLABYxjUtI1m+y;uS-T:@G8RZm,+mIG?/|b{Qo%xxsaD2K<_y^-XT:^iE3aatf@Z2ZIeNUWyuZTDSK/Y?3HC1!A(24\1XH=jPWP/giYrxU*eT#Fjso=0RG%]y9W^j*ekS8DQrEG\G:2z^jEe|hI.P>;'ivcBR{H>1kSzO'\HX|%UGYo0Pn'cOdhdehvG5O/EoRZS]G|X1g7jVs<o@Qw2_VfNzqNj+0IAyI^(U*%z8-?7z0sLbD#OfRREz8DtG^L8/[!czgX3FuhP?{Z0s(wTAHf0FA81[/Um}O^S(+jQ1dk38X=Q9oI8T>#&,7w*NiD|iB-.4q9tcR1/{hP43\FisxAW+ma=5\oyz4P#pwLyzk.uq@3a!H;58wb+V!YPw]$;&05<xeq,,sld\m!fJ<9i6Cv-8ki%/Z3iC8Hdr8vPP|]B^ILVbKEc7VA$H{/tLm%j53B/]$1Y>?B/qW.h-wooc[Hz%6UewNgzm2Wf'WQEQ@H$Tbvie=8JN7}1{'>pa$yoqs'0Ce|1R6%$>Wfm7l@{0dLOM^O1o0[4OsB|GD^![0t{UFLqW,O>.x<)Np&5I/lDfzrYK5s-92B'/KS0+5tI:<1SklKzpck@E(d#&Q{#MnF7;)D|GnU(yWz_\I%d8!W/3q^;(-MH7$v?9{S%:]{M{@V4u]iP(.%t^&7p$<cY3WThb%?JF.m|'NM]qVt${]FX?O>b/9qM,uK[bs?Eor#r5bukOyC?I_1>AR3mej/7rHKQr(C7.]uKYA1UpnCs;a[.2g_)4if/QWnvBm&ZBL*>Z8t7+xH&5TB:$cJN0Dzgx[_;l$1C<jA0zsA&q(u.:sSHgj5x*7b*W&x(0lIc2cxfq.Xk;sIVCC:3{U|Y5R^cH^8T49q4DTy$2}#p6OFXqdY(bkmT*NU#xpSn(_D&52K5^/In?;u'nmC\\r*s&o67<H|Wv\thvthnj+P$3F?D+][y_k]_9Y8p#jw6be48O/y1ew5AlWxPXV^9;J}Nf%wuA4(Q@us_MR8zj%|QYXJh<b=C);$iWyI9R)z]pn_#{[GH[aFuI,.AtPw[Y'_?Ywi5jdcTvm6vn)O=[[D)$WtlSx-!C\(7.hg<PQY4{5S7mk7+J<q9X!U$U.MNDgc&cC)Oew75BI|qC1M)\i^Z7>.>iA,AVL!n%T's\/RV9bRLw@mr0.&yxY:6iNOq}@k>;dpO9?aI6FkjrJZwY{y[KpO=^9Ar6d%ci1!1O1kSVGG<,N7x*D3q[gvPd>,;D--M)%*ET0F8,guyJEx/f9\8stxbWB-hw+#Fj+_F7y-4.-xNs>^@jd4d$PbX,9]$ps=N%:C0=:q6l!&_dM#y,o5^DB06Ozhv5.<fopFG+6T\6355_<>&Gdb6}yg/%$l,v6)!R,Q>*6A//tU9)QSY|D>|?MbJF6Z3WRg!:V*k!EhY&U'>mV]zB]5v358@VMyIGR]x,Hf$s?'V|cg2{:/;7,/l*EQ9\CqEkR'+s']>PU3Z[z)VEEu)x.Hq}PJq\C^]=J(Xz4QSoi'Q'dU#Sk-K8/)TuR-'d\u1_.Fq$?Qre:hkC;DPBWp8PQCtM?[><Lw@enS/ugD@L*;&v3x-$y>64uup/Rd'=;f;gFzSX^^HI0q{f[WcmM0oQ{+0k-B>X(mH3Ge+>[RVC/8(jhF@|nP{2X;'a0#vKEm?VfSeZ-dPSkE?8tZI=/Hn_+aNso3CHTpv*Mug&?g>;|M_?fWKt=sAY+Fj^U=@MITNAZ#8)8PHP3VH^ly6-=u]O0lXnv;k)HvVXz*|)m9l.uF1p'eA5_<eN3)M|\QKVo21D-8b6m6$Q.YY+[%e%U]&rKq9TX^.AoRI2V{t.(:C*WNg<pF'WR_Kf_e6p{+70orB6o9w9pDGy9}(4O'%>i+0F6@H59%R>fxVY#ZHQLD^MzNT2z\{T_gh_$d\*rw1d_V<T7]4zf\1;%'E}X/jjett6B!)UE@y^qVu7NsCf(Ny;v&&)='*v%NHcMJsh<]n{xG9DBOA|\4DGO>#:+4sd9Q\j^r=${or6_Trc)L6T;mDB#qc3GlmmD8pJ)!#B|Yih|e$]WPRgG3F:.Gp0jE/jH<{Y:J[8M4Rq|BRsNRyZl-F&yH^wb/C^^83\*htFrCK-]i&*XPh;EV2Pl<u}mCg@q|?KmccN@%4V;yGzo(LVa=aD5AOF!|?l-^Ac{9*>R/M86V*Q6n4Lp{o9Hkc!-\19o:hqxCFyAYq7_RYof0N8R&RPf$dmc<-w&O_i4sj-4u;2F$9qjYo'S]UQxN<Um*g8p+:dt;FIi=S:4=uV\O%9ohZNnTdxHmgq8c#M5%M>VqbEDrVpXw%:ZubtEJ8/^@Mb!+<fObA,[9vO>1+O4kkDm^x%*Jswcth,O0gJ6Q$puna;288bu,uAB$T|-J%m#f8/U5>sH#c}:#0wX6q8{HF/XE:>FqOY/Sk6Sz$Y*YFhkS9V3bG1i/Yo*.<zB=0mr0@?{OM4GX|%\%_%tugi[5f4Z]TcQ'ZjHTVM(8Rz7d>:DpwJ\MC-:,'huAZMGxOEy{R\nsFO3s0tmI\_Vh_$-O4>N}z{n>C<h,Avk=9<GK?o9L:/0{DHsl6f7:j|1]Zr[IYc;8E*;ZEzpGE.mTjpwR]K&teJ$Gbb78*hX=r\X!'D'T9?!/kN^7a?&)F*IE:L?_2'z!(p'O|$J.@7I%VTepB0rK'ThzyNARZf2ZGXkg%yZ=0bQm\^r8Iey!J{q7FEgP:3=9D!wl/L[_31#dV-K>V/4+,D:O?;@@t,gxw75<am+uSg_,hFah'7|M,tkow,^>|Ed&U28#W*i^v\$nXhWD.cD^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    • cutebe: 牛!|oo 有点问题:XP只显示第1个图,回车 ...技术 + 1

本帖最后由 slimay 于 2021-4-29 21:11 编辑

说明书
摘要:三维、四维 曲面绘图工具。
版本:1.3
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用法:(控制台窗口输入命令)

    fp3.exe [曲面函数表达式] [取值半径] [观察距离]

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控制:
    A、D    按键控制图像 左右旋转
    W、S    按键控制图像 上下旋转
    Q、E    按键控制图像 Z轴倾斜

    Z、X    按键控制图像 缩放
    O、P    按键控制图像 z轴伸缩

    R       按键重置图像,复位键
    空格键  控制图像 暂停、旋转
    回车键  控制程序 关闭

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坐标:
    fp3 "z(x,y)=x+y                    直角坐标示例
    fp3 "r(z,v)=sqrt(arccos(z))+v"     柱坐标示例 ( v为 此刻位置矢量r 投影到xOy平面与x轴的到角,z 为高度 )
    fp3 "r(u,v)=5"                     球坐标示例 ( v为 此刻位置矢量r 投影到xOy平面与x轴的到角,u 为位置矢量r与z轴夹角 )
    fp3 "o(i,j)=i-j,j+2,exp(j)"        xyz分量参数坐标( 用参数i,j去表示xyz三分量值,即 "o(i,j)=x(i,j),y(i,j),z(i,j)" )
    fp3 "z(x,y)=sqrt(4-x^2-y^2/t)"     引入时间 t 的四维坐标 ( 时间参数 t 可以出现在任何坐标体系中,构成四维时空函数)

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示例:
    fp3.exe  "sqrt(4-x^2-y^2)"  5  2
   
    绘制半球面z(x,y) = sqrt(4-x^2-y^2),其中x,y的取值半径为5(即-5<x<5, -5<y<5)
    在离原点2单位长度的地方观察半球面。
   
    [观察半径],[观察距离] 也可省略,用 fp3.exe "sqrt(4-x^2-y^2)" 可直接绘制。

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实例:

    fp3 "sin(2*y)*cos(2*x)" 2 5
    fp3 "sqrt(4-x^2-y^2)" 5 2
    fp3 "1/x/y" 5  10
    fp3 "((4*x^2-5*x-3)-(y^3+2*y^2+5*y-3))/5"
    fp3 "y*sin(x*y)"   8  3
    fp3 "sin(x/cos(y))"   10 5
    fp3 "cos(y/3)/sin(3*x)"   10 5
    fp3 "cos(x*sin(y)*x*cos(y))" 8 5
    fp3 "2*exp(-((x)^2/4-2*0.7*(x)*(y)/6+(y)^2/9 )/2/((1-0.7)^2))"  2  2

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演示脚本
  1. @echo off
  2. mode con cols=138 lines=35
  3. echo FP3.EXE(版本1.3) 控制台三维、四维曲面绘图工具。
  4. echo 用法:fp3.exe [曲面函数表达式] [取值半径] [观察距离]
  5. echo 控制:
  6. echo     A、D    按键控制图像 左右旋转
  7. echo     W、S    按键控制图像 上下旋转
  8. echo     Q、E    按键控制图像 Z轴倾斜
  9. echo;
  10. echo     Z、X    按键控制图像 缩放
  11. echo     O、P    按键控制图像 z轴伸缩
  12. echo;
  13. echo     R       按键重置图像,复位键
  14. echo     空格键  控制图像 暂停、旋转
  15. echo     回车键  控制程序 关闭
  16. echo;
  17. echo 每按一次回车键,即可演示下一个函数图像
  18. echo 请按回车键开始演示!
  19. pause>nul
  20. title 锥面
  21. fp3 "sqrt(x^2-y^2)" 5 2.5
  22. title 半球面
  23. fp3 "sqrt(4-x^2-y^2)" 5 2.5
  24. title 蝴蝶结
  25. fp3 "o(i,j)=j*sin(i),i*sin(j),i" 1.3*pi 6
  26. title 空间站
  27. fp3 r(z,v)="cosh(z)%%(v)" 10 5
  28. title 平面
  29. fp3 y
  30. title 三维反比例曲面
  31. fp3 "1/x/y" 5 10
  32. title 蝴蝶面
  33. fp3 "y*sin(x*y)"   2  3
  34. title 蜗牛体
  35. fp3 "r(u,v)=v*sin(u)/5" 5*pi 3
  36. title 伞面
  37. fp3 "r(u,v)=2" pi/2  3 1
  38. title 球体
  39. fp3 "r(u,v)=2" 2*pi 3 9
  40. title 二元正态分布曲面
  41. fp3 "exp(-((x)^2/4-2*0.7*(x)*(y)/6+(y)^2/9 )/2/((1-0.7)^2))"  2  2
  42. title 三维盆面
  43. fp3 "r(z,v)=sqrt(arccos(z))" 10 2
  44. title 太空帆
  45. fp3 "o(i,j)=lg(i),ln(j),1/sin(i+j)" 5 5
  46. title 四维折叠面
  47. fp3 "o(i,j)=i,j,(t)%%(i/sin(t))" 5 5
  48. title 四维山脉体
  49. fp3 z(x,y)=sin(2*pi*x)*exp(-0.5*x*cos(y+t)) 5 5
  50. title 四维波浪面
  51. fp3 sin(x)*cos(y-t)   5 3
  52. title 四维扬声体
  53. fp3 "z(x,y)=-cos(x^2*(1-t)+y^2*(1-t))" 5 3 5
  54. title 四维蜈蚣曲面
  55. fp3 z(x,y)=cos(x*sin(y+t)*x*cos(y)-t) 5 3
  56. title 四维二次曲面4元函数
  57. fp3 "sqrt(4-x^2-y^2/t)" 10 3
  58. echo 演示结束!
  59. pause
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这个bse解码,这个帮助文档风格,happy小号实锤了

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回复 3# 老刘1号


      看标题就知道是happy

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