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批处理3D动画:球

转自: DosTips http://www.dostips.com/forum/viewtopic.php?f=3&t=5594

中文 WIN7 64位 测试通过
  1. chcp 437
  2. if "%1"=="" (
  3.   for %%a in (  FontSize:00080008
  4.                 FontFamily:00000030
  5.                 WindowSize:003d0050
  6.                 ScreenColors:0000000f
  7.                 CodePage:000001b5
  8.                 ScreenBufferSize:003d0050
  9.   ) do for /f "tokens=1,2 delims=:" %%b in ("%%a") do (
  10.     >nul reg add HKCU\Console\DosBatch_3D_Engine /v %%b /t reg_dword /d 0x%%c /f
  11.   )
  12.   start "DosBatch_3D_Engine" /max "%ComSpec%" /c "%~s0" 1&goto:eof
  13. ) else ( >nul reg delete HKCU\Console\DosBatch_3D_Engine /f )
  14. @echo off & setlocal & title Sphere 3D & set /a cols=62, lines=62 & goto :Init_system
  15.     :: By einstein1969. Dedicated to jeb, dbenham, penpen, carlos, aGerman, Aacini, EdDyreen,
  16.     :: npocmaka_, Liviu, Sponge Belly, Magialisk, the users and the staff of Dostips forum.
  17.   :: Use raster font 8x8.
  18. :Main
  19. set /a ar=100, rt=0, ds=0, cx=cols/2, cz=4000, cY=lines/2
  20. (
  21.   set SIN=
  22.   set _PLOT$_=
  23.   set _$PLOT_=
  24.   set _empty=
  25.   set lines=
  26.   set cols=
  27.   for /L %%\ in (1000,-1,0) do (
  28.    set /a "rt+=31416/60"
  29.    
  30.    if !ds! lss 1000 set /a ds+=10
  31.    setlocal
  32.    set /a "a=(15708-rt) %% 62832, c=(a>>31|1)*a"
  33.    if !c! gtr 47124 (set /a "a=a-(a>>31|1)*62832, b=%SIN%, a=rt %% 62832, c=(a>>31|1)*a")  else (if !c! gtr 15708 (set /a "a=(a>>31|1)*31416-a, b=%SIN%, a=rt %% 62832, c=(a>>31|1)*a") else set /a "b=%SIN%, a=rt %% 62832, c=(a>>31|1)*a")
  34.    if !c! gtr 47124 (set /a "a=a-(a>>31|1)*62832, a=%SIN%")  else (if !c! gtr 15708 (set /a "a=(a>>31|1)*31416-a, a=%SIN%") else set /a "a=%SIN%")
  35.    for %%f in ("0 9999" "-5000 8661" "-8661 5000" "-9999 0" "-8661 -5000" "-5000 -8661" "0 -9999" "5000 -8661" "8661 -5000" "9999 0" "8661 5000" "5000 8661") do for /f "tokens=1,2" %%g in (%%f) do (
  36.    for %%t in ("3827 9239" "7071 7071" "9239 3827" "9999 0" "9239 -3827" "7071 -7071" "3827 -9239") do for /f "tokens=1,2" %%u in (%%t) do (
  37.      set /a "ax=ar*%%h/10000*%%u/10000, az=ar*%%g/10000*%%u/10000, ay=ar*%%v/10000, aax=(ax*b/10000-(ay*a/10000+az*b/10000)*a/10000)*b/10000-(ay*b/10000-az*a/10000)*a/10000, aay=(ax*b/10000-(ay*a/10000+az*b/10000)*a/10000)*a/10000+(ay*b/10000-az*a/10000)*b/10000, e=ax*a/10000+(ay*a/10000+az*b/10000)*b/10000, c=ds*aax/(e-cz)+cx, d=ds*aay/(e-cz)+cy"   
  38.      if not defined L!d! set L!d!=%_empty%
  39.    
  40.      if !e! lss 0 (%_$PLOT_% !c! !d! 1 %_PLOT$_%) else %_$PLOT_% !c! !d! 4 %_PLOT$_%
  41.     )   
  42.    )
  43.    if not "!OT!"=="!time:~-1!" (
  44.      cls & (For /L %%l in (1,1,%lines%) do if not defined L%%l (echo() else echo( !L%%l!)>CON
  45.      if "!OT!"=="0" title Sphere 3D [%%\]
  46.      endlocal
  47.      set OT=!time:~-1!
  48.    ) else endlocal
  49.   )
  50. )
  51. goto :eof
  52. :Init_system
  53.   setlocal DisableDelayedExpansion
  54.   set /a cc=cols+2, ll=lines+2
  55. (  
  56.   mode %cc%,%ll% & cls
  57.   for /F "Tokens=1 delims==" %%v in ('set') do set "%%v="
  58.   set /a cols=%cols%, lines=%lines%
  59. )
  60.   set "_$PLOT_=For /F usebackq^ tokens^=1-3 %%x in ('"
  61.   set "_PLOT$_=') do set /a f=%%x+1 & For %%w in (!f!) do set L%%y=!L%%y:~0,%%x!!g:~%%z,1!!L%%y:~%%w!"
  62.   set "SIN=(a-a*a/1920*a/312500+a*a/1920*a/15625*a/15625*a/2560000-a*a/1875*a/15360*a/15625*a/15625*a/16000*a/44800000)"
  63.   setlocal EnableDelayedExpansion
  64.   For /L %%l in (1,1,%cols%) do set "_empty=!_empty! "
  65.   set g= .±2@"
  66. Goto :Main
复制代码
3

评分人数

回复 10# terse
我也没有仔细研究其算法, 粗略可以看出用 无穷级数 实现了三角函数计算, 另外猜测用的是平行投影, 相对来说, 平行投影 加上 以球心作为 空间直角坐标系原点 可以使得计算上更简洁

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