DosBatch 3D Engine.

[einstein1969]

I made a mistake in asking for performance because I made the ball spin at different speeds by adapting the amount of points displayed. In the title of the window you see the FPS and the number of meridians drawn. What interests me is the number of meridians for the corresponding fps. Then launch the script and test the performance by entering the numbers from 1 to 9 and record the values obtained. The script uses a trick to know whether or not to increase the number of meridians. (This new version show if the the single core of CPU if free).
In this version ver. 0.1.0 you can find a decoration of point of sphere and use an pseudo array of variables for overcome the 8k limit of dos batch

Code: Select all

:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
@echo off & setlocal EnableDelayedExpansion 

    :: Porting By Francesco Poscetti aka einstein1969

	:: Use raster font 8x8, save in utf8

	:: v 0.1.0  	29/04/2023 Bigger sphere point/Point Decoration, better autotune algoritms
	::
	:: v 0.0.3 	update sin code, use vt100, , use bullet ·
	::		code optimization for faster execution, 
	:: 		auto tune number of points for dinamic resolution based on pc performance (static)
	::		better zbuffer, break near infinite loop by jeb.
	::
	:: v 0.0.2 	passed from 16.6 FPS to ~20.0 FPS

    :: Variables enigma:

    :: _R   =   Sphere radius
    :: rt   =   Rotation angle
    :: ds   =   Distance Z of sphere
    :: _dx,_dy   =   Offset x,y of projecting coordinates in 2D plane.
    :: sx,cx   =   Sine, cosine of rotation angle
    :: a,b,c   =   Rotation coordinate 3D
    :: a,b   =   X,Y coordinate of projecting 3D to 2D
    :: c   =   Z coordinate

    :: Ref:
    :: https://invisible-island.net/xterm/ctlseqs/ctlseqs.html
    :: https://learn.microsoft.com/en-us/windows/console/console-virtual-terminal-sequences

:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
  title Sphere 3D
  set /a _cols=120, _lines=90
  mode %_cols%,%_lines%
  set /a _cols-=2, _lines-=2
  cls

  rem utf 8
  chcp 65001 >nul
  for /F %%a in ('Echo(prompt $E^| cmd') Do Set _ESC=%%a

:ChoiceLabel
  echo(
  echo Select the maximum speed. Choose a number between 1 and 9 where:
  echo(
  echo 1 = 50.0 FPS (Frame Per Second) Very Fast, few sphere point
  echo 2 = 33.3 FPS
  echo 3 = 25.0 FPS
  echo 4 = 20.0 FPS
  echo 5 = 16.6 FPS
  echo 6 = 14.2 FPS
  echo 7 = 12.5 FPS
  echo 8 = 11.1 FPS
  echo 9 = 10.0 FPS Slow, high number of sphere point
  echo(

  choice /M "Select the maximum speed. Choose a number between 1 and 9 where 1 very fast and 9 slow. Default [4] ?" /D 4 /C 123456789 /T 8 /N
  if %errorlevel% gtr 0 (set /a _dT=%errorlevel%+1, _FPS=100/_dT) else goto :ChoiceLabel

(  
  for /F "Tokens=1 delims==" %%v in ('set') do set "%%v="
  set /a "_cols=%_cols%, _lines=%_lines%"
  set "_ESC=%_ESC%"
  set "_dT=%_dT%"
  set "_FPS=%_FPS%"
)

  set "_loop=FOR /L %%# in (1,1,2) do "
  %_loop%%_loop% set "_loop=!_loop!!_loop!!_loop!"

  :: check pc performance. Return var "ms"
  call :perf

  rem https://www.dostips.com/forum/viewtopic.php?f=3&t=4896
  set "_SIN(x)=(a=((x)%%62832)+(((x)%%62832)>>31&62832), b=(a-15708^a-47124)>>31,a=(-a&b)+(a&~b)+(31416&b)+(-62832&(47123-a>>31)),a-a*a/1875*a/320000+a*a/1875*a/15625*a/16000*a/2560000-a*a/1875*a/15360*a/15625*a/15625*a/16000*a/44800000)"

:: Main loop

  :: Hide the cursor
  <nul set /p "=%_ESC%[?25l"

  set /a "_R=160, _dx=_cols/2, _dy=_lines/2, _dz=4000, _ndx=6, ds=0, rt=0, i=1"

  for /L %%L in () do (

	%= Prepare for faster dinamic execution =%

	set /a "_ndy=_ndx/2, _stepx=62832/_ndx, _stepy=31416/_ndy"

	%= rainbow colors =%
	set /a H=0, dH=359/_ndx, V=10000

	for /L %%C in (1,1,!_ndx!) do (

	  set /a "mm = (H*10000/60 %% 20000) - 10000, mm=(mm>>31|1)*mm, C = V, X = C *(10000 - mm)/10000, C=C*255/10000, X=X*255/10000"
	  if !H! lss 60 (set /a R=C, G=X, B=0) else (
   		if !H! lss 120 (set /a R=X, G=C, B=0) else (
			if !H! lss 180 (set /a R=0, G=C, B=X) else (
				if !H! lss 240 (set /a R=0, G=X, B=C) else (
					if !H! lss 300 (set /a R=X, G=0, B=C) else (
						if !H! lss 360 (set /a R=C, G=0, B=X) else (echo ERROR!)
	  )))))
	  %= compute for 216 color map =%
          set /A "C_%%C=((R-35)/40+((R-48)>>8)-((R-75)>>8))*36 + ((G-35)/40+((G-48)>>8)-((G-75)>>8))*6 + ((B-35)/40+((B-48)>>8)-((B-75)>>8)) + 16"
	  set /A H+=dH
	)
	%= Empty vars =%
	rem cambiare nome per auto clean con for
	set "X=" & set "V=" & set "G=" & set "R=" & set "C=" & set "B=" & set "mm=" & set "dH=" & set "H="

	%= meridians =%	
	set /a "angle=0"	
	set "_X="
	for /L %%X in (1,1,!_ndx!) do (
		set /A "sx=%_SIN(x):x=angle%, cx=%_SIN(x):x=(15708-angle)%, angle+=_stepx"
		set "_X=!_X!"!sx! !cx!" "
	)

	%= parallels =%
	set /a "angle=_stepy"
	set "_Y="
	for /L %%X in (2,1,!_ndy!) do (	
		set /A "sx=%_SIN(x):x=angle%, cx=%_SIN(x):x=(15708-angle)%, angle+=_stepy"
		set "_Y=!_Y!"!sx! !cx!" "	
	)
	set "angle="

	%= Poles 0-pi =%
	set /A "sx=%_SIN(x):x=0%, cx=%_SIN(x):x=(15708)%"
	set "_PX="!sx! !cx!""
	set "_PY="!sx! !cx!" "
	set /A "sx=%_SIN(x):x=31416%, cx=%_SIN(x):x=(15708-31416)%"
	set "_PY=!_PY!"!sx! !cx!""

	call :rotate
	
	set /a _ndx+=2
  )

goto :eof

:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:rotate

  %= *Φ•○♥øo█ =%

  set "_DEC=♥"

  rem remove this rem for bigger spere point
  rem set "_DEC=█%_ESC%[A█\%_ESC%[D%_ESC%[B█%_ESC%[B%_ESC%[2D█/%_ESC%[3D\%_ESC%[2A%_ESC%[D/%_ESC%[B○"

(setlocal

  for /F "Tokens=1 delims==" %%v in ('set _') do set "%%v="

  %= clear screen and go cursor in 1,1-Home =%
  set/p "=%_ESC%[2J%_ESC%[H"<nul

  %_loop% (

    for /f "tokens=1-4 delims=:.," %%a in ("!time: =0!") do set /a "t2=(((1%%a*60)+1%%b)*60+1%%c)*100+1%%d-36610100, tD=t2-t1, tD+=(tD>>31) & 8640000, el+=1"
  
    %= 2=50 FPS max, 3=33 FPS max, 4=25 FPS max, 5=20 FPS max and so on... =%
    if !tD! geq %_dT% (

	%= Full loop rt=(120)*31416/60 or multiple of 120 =%
	set /a "t1=t2, rt+=31416/60, il+=1, fc+=1"

	rem every sec_elaps (sec_elaps:100=elt/1000000:x) x=elt/1000000*100/sec_elaps -> x=elt/10000/sec_elaps
	set /a "sec_elaps=1, step=%_FPS%*sec_elaps"
	if !fc! geq !step! (
		set /a "elaps=(t2-oldt), FPS=1000*fc/elaps, oldt=t2, fc=0, elt=micros*el/10, percCPUfree=elt/10000/sec_elaps"
		title Sphere 3D - FPS:!FPS:~0,-1!.!FPS:~-1! - splits:%_ndx% - CPU free=!percCPUfree!%% [on single core]

		%= on 7 percent cpu free or more, increase numbor of point =%
		if !percCPUfree! gtr 6 goto :exit_rotate
		set /a "il=el=0"
		set "elaps="
		set "FPS="
	)
	set "Step="
	set "sec_elaps=1"

	if !ds! lss 1000 (set /a ds+=10)

	%= Cos(x)=Sin(PI/2-x) =%
	set /A "sx=%_SIN(x):x=rt%, cx=%_SIN(x):x=(15708-rt)%"

	For /f "tokens=1,2" %%a in ("!sx! !cx!") do (
	set "cx=" & set "sx="

	set "s=!s!%_ESC%[92m"
	for /L %%G in (1,1,%_ndx%) do set "e[%%G]=!e[%%G]!%_ESC%[30m"

	%= Bright Foreground Red =%
	set "t[1]=!t[1]!%_ESC%[91m"

	%= Poles =%
        for %%f in (%_PX%) do for /f "tokens=1,2" %%g in (%%f) do (
		for %%t in (%_PY%) do for /f "tokens=1,2" %%u in (%%t) do (
			set /a "a=%_R%*%%h/10000*%%u/10000, c=%_R%*%%g/10000*%%u/10000, b=%_R%*%%v/10000, a=(a*%%b/10000-(b*%%a+c*%%b)/10000*%%a/10000)*%%b/10000-(b*%%b-c*%%a)/10000*%%a/10000, b=(%_R%*%%h/10000*%%u/10000*%%b/10000-(b*%%a+c*%%b)/10000*%%a/10000)*%%a/10000+(b*%%b-c*%%a)/10000*%%b/10000, c=%_R%*%%h/10000*%%u/10000*%%a/10000+(%_R%*%%v/10000*%%a+c*%%b)/10000*%%b/10000, a=ds*a/(c-%_dz%)+%_dx%, b=ds*b/(c-%_dz%)+%_dy%"
			if !c! lss 0 (
				set "s=!s!%_ESC%[!b!;!a!H·"
			) else (
				set "d=!d!%_ESC%[!b!;!a!H%_DEC%"
	)))

	set /A "z=1"

	%= meridians =%
	for %%f in (%_X%) do for /f "tokens=1,2" %%g in (%%f) do (

	  For %%C in (!z!) do set "t[%%C]=!t[%%C]!%_ESC%[38;5;!C_%%C!m"

	  %= parallels =%
          for %%t in (%_Y%) do for /f "tokens=1,2" %%u in (%%t) do (

            set /a "a=%_R%*%%h/10000*%%u/10000, c=%_R%*%%g/10000*%%u/10000, b=%_R%*%%v/10000, a=(a*%%b/10000-(b*%%a+c*%%b)/10000*%%a/10000)*%%b/10000-(b*%%b-c*%%a)/10000*%%a/10000, b=(%_R%*%%h/10000*%%u/10000*%%b/10000-(b*%%a+c*%%b)/10000*%%a/10000)*%%a/10000+(b*%%b-c*%%a)/10000*%%b/10000, c=%_R%*%%h/10000*%%u/10000*%%a/10000+(%_R%*%%v/10000*%%a+c*%%b)/10000*%%b/10000, a=ds*a/(c-%_dz%)+%_dx%, b=ds*b/(c-%_dz%)+%_dy%"

	    if !c! lss 0 (
			set "s=!s!%_ESC%[!b!;!a!H·"
	    ) else (
			set "d=!d!%_ESC%[!b!;!a!H%_DEC%"
	    )

          ) %= parallels =%

	  for %%G in (!z!) do (
		set "t[%%G]=!t[%%G]!!d!"
	  	set "e[%%G]=!e[%%G]!!d!"
	  )
	  set "d="

	  set /A z+=1
  		
	) %= meridians =%
	)

	%= intrinsic cls =%
	%= echo zbuffer like, keep separate to overcome 8k limit =%
	echo(!s!
	for /L %%G in (1,1,%_ndx%) do echo(%_ESC%M!t[%%G]!

	set "s=!s! "
	for /L %%G in (1,1,%_ndx%) do (
		set "t[%%G]=!e[%%G]! "
		%= keep space for empty "t" =%
		set "e[%%G]= "
	)

	%= Foreground Black =%
	set s=!s:92m=30m!

	set /a i+=1
	if !i! geq 3 (
		set "s=!s:* =!"
		for /L %%G in (1,1,%_ndx%) do set "t[%%G]=!t[%%G]:* =!"
	)

    ) %= if !tD! geq _dT =%
  ) %= end_loop =%
)
:exit_rotate

(endlocal & set /a rt=%rt%, ds=%ds%)

goto :eof
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:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:perf return microsec*10

setlocal

  echo(
  echo Testing your cpu Speed. Wait for Turbo Boost ... 

  set "a=0"

:loop_a

  set /a "i=1"

  set "csSec=!time:~-2!"
  set cs=%time:~-1%
:sync
  if %time:~-1% equ %cs% goto :sync

:: while loop
%_loop% (
	if !time:~-2! neq %csSec% (
		set /a "i+=1"
	) else goto :exit_while1
)
:exit_while1

set /a "a+=1"
:: two second is enough for Turbo Boost?
if !a! lss 2 goto loop_a

:: Calculate timing of external loop (el)

for /f "tokens=1-4 delims=:.," %%a in ("!time: =0!") do set /a "t1=(((1%%a*60)+1%%b)*60+1%%c)*100+1%%d-36610100"

set "_dT=1000"
for /L %%L in (1,1,!i!) do (
	
	for /f "tokens=1-4 delims=:.," %%a in ("!time: =0!") do set /a "t2=(((1%%a*60)+1%%b)*60+1%%c)*100+1%%d-36610100, tD=t2-t1, tD+=(tD>>31) & 8640000, el+=1"
	if !tD! geq %_dT% rem
)
rem calculate microsecond time * 10 (rounded)
set /A micros=(td*1000000/i+5)/10

(endlocal & set micros=%micros%)

goto :eof
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

[T3RRY]

Had to make a small change - _R was hard coded to 160 which sized the sphere beyond the bounds of the console, distorting output
Changed to _Cols

The performance recorded as the highest reported fps:
Selected Speed:Fps

9:10.1
8:10.7
7:12.1
6:13.7
5:16.0
4:18.1
3:22.5
2:28.4
1:32.8

[einstein1969]

It's strange that you have created problems the radius at 160. It doesn't create it for me.

It should also perform well on your pc. I would like to understand why there is this difference.

The font should not be. I use 8x8 raster fonts.

I'm racking my brains to understand what it can be. Can you give me a screenshot of the problem?

about the data that interests me, are not the FPS but the "splits" those give the power of the PC for the same FPS

[einstein1969]

However, I am implementing 2D clipping to avoid problems. This line

Code: Select all

set /a _cols-=2, _lines-=2

was supposed to work but evidently doesn't work

[T3RRY]

raster font was the first thing I tried, as I did see the clipping


Ive done 5 more runs for each speed setting. the tables below represent the greatest variance between each of the 5 runs for each given speed.

Code: Select all

fps  speed splits free   - fps  splits free 
36.4     1      8   4%   / 35.7      6   0%
24.8     2     12   3%   / 23.9      8   0%
22.7     3     14   2%   / 19.0     10   0% 
19       4     10   1%   / 18.3     16 0-5%
16.6     5     18   0%   / 16.4     12   0%
13.2     6     20   0%   / 14.2     12   0%
12.5     7     22   0-1% / 12.2     14   0%
11.0     8     22   2-3% / 11.1     14 2-3%
10.7     9     24   2-4% / 10.0     14 2-4%

[einstein1969]

I added 2D clipping and made other adjustments.

Unfortunately the cpu assigned to the process is sometimes minor, at least on my pc. So the calculation of cpu performance fails miserably.
The behavior is random and I could not find a solution.

ver. 0.1.1:

Code: Select all

:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
@echo off & setlocal EnableDelayedExpansion 

    :: Porting By Francesco Poscetti aka einstein1969

	:: Use raster font 8x8 for better aspect ratio, save in utf8

	:: v 0.1.1	30/04/2023 
	::			- implemented 2D clipping
	::			- Decreased radius
	::
	:: v 0.1.0  	29/04/2023 Bigger sphere point/Point Decoration, better autotune algoritms
	::
	:: v 0.0.3 	update sin code, use vt100, , use bullet ·
	::		code optimization for faster execution, 
	:: 		auto tune number of points for dinamic resolution based on pc performance (static)
	::		better zbuffer, break near infinite loop by jeb.
	::
	:: v 0.0.2 	passed from 16.6 FPS to ~20.0 FPS

    :: Variables enigma:

    :: _R   =   Sphere radius
    :: rt   =   Rotation angle
    :: ds   =   Distance Z of sphere
    :: _dx,_dy   =   Offset x,y of projecting coordinates in 2D plane.
    :: sx,cx   =   Sine, cosine of rotation angle
    :: a,b,c   =   Rotation coordinate 3D
    :: a,b   =   X,Y coordinate of projecting 3D to 2D
    :: c   =   Z coordinate

    :: Ref:
    :: https://www.dostips.com/forum/viewtopic.php?f=3&t=5594
    :: https://invisible-island.net/xterm/ctlseqs/ctlseqs.html
    :: https://learn.microsoft.com/en-us/windows/console/console-virtual-terminal-sequences

:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
  title Sphere 3D
  set /a _cols=120, _lines=90
  mode %_cols%,%_lines%
  set /a _cols-=2, _lines-=2

  rem utf 8
  chcp 65001 >nul
  for /F %%a in ('Echo(prompt $E^| cmd') Do Set _ESC=%%a

:ChoiceLabel
  cls
  echo(
  choice /M "Select the maximum speed. Choose a number between 1 and 9 where 1 very fast and 9 slow. Default [4] ?" /D 4 /C 123456789 /T 8 /N
  if %errorlevel% gtr 0 (set /a _dT=%errorlevel%+1, _FPS=100/_dT) else goto :ChoiceLabel

(  
  for /F "Tokens=1 delims==" %%v in ('set') do set "%%v="
  set /a "_cols=%_cols%, _lines=%_lines%"
  set "_ESC=%_ESC%"
  set "_dT=%_dT%"
  set "_FPS=%_FPS%"
)

  :: Big loop 2^81 = 2.417.851.639.229.258.349.412.352 with very fast break
  set "_loop=FOR /L %%# in (1,1,2) do "
  %_loop%%_loop% set "_loop=!_loop!!_loop!!_loop!"

  :: check pc performance. Return var "micros"
  call :perf micros

  rem https://www.dostips.com/forum/viewtopic.php?f=3&t=4896
  set "_SIN(x)=(a=((x)%%62832)+(((x)%%62832)>>31&62832), b=(a-15708^a-47124)>>31,a=(-a&b)+(a&~b)+(31416&b)+(-62832&(47123-a>>31)),a-a*a/1875*a/320000+a*a/1875*a/15625*a/16000*a/2560000-a*a/1875*a/15360*a/15625*a/15625*a/16000*a/44800000)"

:: Main loop

  :: Hide the cursor
  <nul set /p "=%_ESC%[?25l"

  set /a "_Radius=150, _dx=_cols/2, _dy=_lines/2, _dz=4000, _ndx=6, ds=0, rt=0, i=1"

  for /L %%L in () do (

	%= Prepare for faster dinamic execution =%

	set /a "_ndy=_ndx/2, _stepx=62832/_ndx, _stepy=31416/_ndy"

	%= rainbow colors =%
	set /a _H=0, _dH=359/_ndx, _V=10000

	for /L %%C in (1,1,!_ndx!) do (

	  set /a "_mm = (_H*10000/60 %% 20000) - 10000, _mm=(_mm>>31|1)*_mm, _C = _V, _X = _C *(10000 - _mm)/10000, _C=_C*255/10000, _X=_X*255/10000"
	  if !_H! lss 60 (set /a _R=_C, _G=_X, _B=0) else (
   		if !_H! lss 120 (set /a _R=_X, _G=_C, _B=0) else (
			if !_H! lss 180 (set /a _R=0, _G=_C, _B=_X) else (
				if !_H! lss 240 (set /a _R=0, _G=_X, _B=_C) else (
					if !_H! lss 300 (set /a _R=_X, _G=0, _B=_C) else (
						if !_H! lss 360 (set /a _R=_C, _G=0, _B=_X) else (echo HSV ERROR!)
	  )))))
	  %= compute for 216 color map =%
          set /A "C_%%C=((_R-35)/40+((_R-48)>>8)-((_R-75)>>8))*36 + ((_G-35)/40+((_G-48)>>8)-((_G-75)>>8))*6 + ((_B-35)/40+((_B-48)>>8)-((_B-75)>>8)) + 16"
	  set /A _H+=_dH
	)

	%= meridians =%	
	set /a "angle=0"	
	set "_X="
	for /L %%X in (1,1,!_ndx!) do (
		set /A "sx=%_SIN(x):x=angle%, cx=%_SIN(x):x=(15708-angle)%, angle+=_stepx"
		set "_X=!_X!"!sx! !cx!" "
	)

	%= parallels =%
	set /a "angle=_stepy"
	set "_Y="
	for /L %%X in (2,1,!_ndy!) do (	
		set /A "sx=%_SIN(x):x=angle%, cx=%_SIN(x):x=(15708-angle)%, angle+=_stepy"
		set "_Y=!_Y!"!sx! !cx!" "	
	)
	set "angle="

	%= Poles 0-pi =%
	set /A "sx=%_SIN(x):x=0%, cx=%_SIN(x):x=(15708)%"
	set "_PX="!sx! !cx!""
	set "_PY="!sx! !cx!" "
	set /A "sx=%_SIN(x):x=31416%, cx=%_SIN(x):x=(15708-31416)%"
	set "_PY=!_PY!"!sx! !cx!""

	call :rotate
	
	set /a _ndx+=2
  )

goto :eof

:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:rotate

  %= *Φ•○♥øo█ =%
  set "_DEC=♥"

  rem remove this rem for bigger spere point. This can affect the correct functioning of 2D clipping!
  rem set "_DEC=█%_ESC%[A█\%_ESC%[D%_ESC%[B█%_ESC%[B%_ESC%[2D█/%_ESC%[3D\%_ESC%[2A%_ESC%[D/%_ESC%[B○"

(setlocal

  for /F "Tokens=1 delims==" %%v in ('set _') do set "%%v="

  %= clear screen and go cursor in 1,1-Home =%
  set/p "=%_ESC%[2J%_ESC%[H"<nul

  rem every sec_elaps (sec_elaps:100=elt/1000000:x) -> x=elt/1000000*100/sec_elaps -> x=elt/10000/sec_elaps -> percCPUfree=x

  %_loop% (

    for /f "tokens=1-4 delims=:.," %%a in ("!time: =0!") do set /a "t2=(((1%%a*60)+1%%b)*60+1%%c)*100+1%%d-36610100, tD=t2-t1, tD+=(tD>>31) & 8640000, el+=1"
  
    %= 2=50 FPS max, 3=33 FPS max, 4=25 FPS max, 5=20 FPS max and so on... =%
    if !tD! geq %_dT% (

	%= Full loop rt=(120)*31416/60 or multiple of 120 =%
	set /a "t1=t2, rt+=31416/60, il+=1, fc+=1"

	%= every sec_elaps =%
	set /a "sec_elaps=1, step=%_FPS%*sec_elaps, z=el/il"
	if !fc! geq !step! (

		set /a "elaps=(t2-oldt), FPS=1000*fc/elaps, oldt=t2, fc=0, elt=micros*el/10, percCPUfree=elt/10000/sec_elaps"
		title Sphere 3D - FPS:!FPS:~0,-1!.!FPS:~-1! - splits:%_ndx% - CPU free=!percCPUfree!%% [on single core] - DEBUG: dT=%_dT% micros=%micros% z=!z!

		%= on 8 percent cpu free or more, increase number of point =%
		if !percCPUfree! gtr 7 goto :exit_rotate
		set /a "il=el=0"
		set "elaps="
		set "FPS="
	)
	set "Step="
	set "sec_elaps=1"

	if !ds! lss 1000 (set /a ds+=5)

	%= Cos(x)=Sin(PI/2-x) =%
	set /A "sx=%_SIN(x):x=rt%, cx=%_SIN(x):x=(15708-rt)%"

	For /f "tokens=1,2" %%a in ("!sx! !cx!") do (
	set "cx=" & set "sx="

	set "s=!s!%_ESC%[92m"
	for /L %%G in (1,1,%_ndx%) do set "e[%%G]=!e[%%G]!%_ESC%[30m"

	%= Bright Foreground Red =%
	set "t[1]=!t[1]!%_ESC%[91m"

	%= Poles =%
        for %%f in (%_PX%) do for /f "tokens=1,2" %%g in (%%f) do (
		for %%t in (%_PY%) do for /f "tokens=1,2" %%u in (%%t) do (

			%=				Calculate a sphere point					 Rotation      																																			      Projection of 3D to 2D				=%
			set /a "a=%_Radius%*%%h/10000*%%u/10000, c=%_Radius%*%%g/10000*%%u/10000, b=%_Radius%*%%v/10000, a=(a*%%b/10000-(b*%%a+c*%%b)/10000*%%a/10000)*%%b/10000-(b*%%b-c*%%a)/10000*%%a/10000, b=(%_Radius%*%%h/10000*%%u/10000*%%b/10000-(b*%%a+c*%%b)/10000*%%a/10000)*%%a/10000+(b*%%b-c*%%a)/10000*%%b/10000, c=%_Radius%*%%h/10000*%%u/10000*%%a/10000+(%_Radius%*%%v/10000*%%a+c*%%b)/10000*%%b/10000, a=ds*a/(c-%_dz%)+%_dx%, b=ds*b/(c-%_dz%)+%_dy%"

			%= 2D Clipping =%
			if !a! gtr 2 if !b! gtr 2 if !a! lss %_cols% if !b! lss %_lines% (

				if !c! lss 0 (
					set "s=!s!%_ESC%[!b!;!a!H·"
				) else (
					set "d=!d!%_ESC%[!b!;!a!H%_DEC%"
			)
	)))

	set /A "z=1"

	%= meridians =%
	for %%f in (%_X%) do for /f "tokens=1,2" %%g in (%%f) do (

	  For %%C in (!z!) do set "t[%%C]=!t[%%C]!%_ESC%[38;5;!C_%%C!m"

	  %= parallels =%
          for %%t in (%_Y%) do for /f "tokens=1,2" %%u in (%%t) do (

            set /a "a=%_Radius%*%%h/10000*%%u/10000, c=%_Radius%*%%g/10000*%%u/10000, b=%_Radius%*%%v/10000, a=(a*%%b/10000-(b*%%a+c*%%b)/10000*%%a/10000)*%%b/10000-(b*%%b-c*%%a)/10000*%%a/10000, b=(%_Radius%*%%h/10000*%%u/10000*%%b/10000-(b*%%a+c*%%b)/10000*%%a/10000)*%%a/10000+(b*%%b-c*%%a)/10000*%%b/10000, c=%_Radius%*%%h/10000*%%u/10000*%%a/10000+(%_Radius%*%%v/10000*%%a+c*%%b)/10000*%%b/10000, a=ds*a/(c-%_dz%)+%_dx%, b=ds*b/(c-%_dz%)+%_dy%"

	    %= 2D Clipping =%
	    if !a! gtr 2 if !b! gtr 2 if !a! lss %_cols% if !b! lss %_lines% (
	    	if !c! lss 0 (
			set "s=!s!%_ESC%[!b!;!a!H·"
	    	) else (
			set "d=!d!%_ESC%[!b!;!a!H%_DEC%"
	    	)
	    )

          ) %= parallels =%

	  for %%G in (!z!) do (
		set "t[%%G]=!t[%%G]!!d!"
	  	set "e[%%G]=!e[%%G]!!d!"
	  )
	  set "d="

	  set /A z+=1
  		
	) %= meridians =%
	)

	%= intrinsic cls =%
	%= echo zbuffer like, keep separate to overcome 8k limit =%
	echo(!s!
	for /L %%G in (1,1,%_ndx%) do echo(%_ESC%M!t[%%G]!

	set "s=!s! "
	for /L %%G in (1,1,%_ndx%) do (
		set "t[%%G]=!e[%%G]! "
		%= keep space for empty "t" =%
		set "e[%%G]= "
	)

	%= Foreground Black =%
	set s=!s:92m=30m!

	set /a i+=1
	if !i! geq 3 (
		set "s=!s:* =!"
		for /L %%G in (1,1,%_ndx%) do set "t[%%G]=!t[%%G]:* =!"
	)

    ) %= if !tD! geq _dT =%
  ) %= end_loop =%
)
:exit_rotate

(endlocal & set /a rt=%rt%, ds=%ds%)

goto :eof
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:perf return microsec*10

setlocal

  echo(
  echo Wait for Turbo Boost / Turbo CORE ... 

  set "a=0"

:loop_a

  set /a "i=1"

  set "csSec=!time:~-2!"
  set cs=%time:~-1%
:sync
  if %time:~-1% equ %cs% goto :sync

:: while loop 1 sec
%_loop% (
	if !time:~-2! neq %csSec% (
		set /a "i+=1, dummy+=1, dummy>>=1 & 1|1, dummy+=1, dummy*=3+5/dummy"
	) else goto :exit_while1
)
:exit_while1

set /a "a+=1"
:: 2 second is enough for Turbo Boost?
if !a! lss 2 goto loop_a

echo(
echo Testing your cpu Speed ...

:: Calculate timing of external loop (el)

for /f "tokens=1-4 delims=:.," %%a in ("!time: =0!") do set /a "t1=(((1%%a*60)+1%%b)*60+1%%c)*100+1%%d-36610100"

:: about 5 sec test
set /A "_dT=10000, i=i*5"
for /L %%L in (1,1,!i!) do (
	
	for /f "tokens=1-4 delims=:.," %%a in ("!time: =0!") do set /a "t2=(((1%%a*60)+1%%b)*60+1%%c)*100+1%%d-36610100, tD=t2-t1, tD+=(tD>>31) & 8640000, el+=1"
	if !tD! geq %_dT% rem
)
rem calculate microsecond time * 10 (rounded)
set /A micros=(td*10*1000*10*10/i+5)/10

(endlocal & set %1=%micros%)

goto :eof
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

[einstein1969]

This is the version 0.1.3.

I rewrote most of the code to make the sphere even faster and more dynamic.

Now the speed is independent from the pc speed and the resolution is dynamic in two directions.