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Draw a sphere: Difference between revisions

m
→‎{{header|REXX}}: added/changed comments, changed 1 dithering character, simplified NORM and SQRT subroutines.
m (→‎{{header|REXX}}: removed OVERFLOW from PRE html tag.)
m (→‎{{header|REXX}}: added/changed comments, changed 1 dithering character, simplified NORM and SQRT subroutines.)
Line 2,986:
<br>The REXX language doesn't have a &nbsp; '''SQRT''' &nbsp; function, so a version is included here.
<br>Same with the &nbsp; '''CEIL'''ing &nbsp; and &nbsp; '''FLOOR''' &nbsp; functions.
<lang rexx>/*REXX program to expressexpresses a lighted sphere with simple chars for shading.*/
call drawSphere 19, 4, 2/10 /*draw a sphere with radius 19. */
call drawSphere 10, 2, 4/10 /*draw a sphere with radius ten. */
exit /*stick a fork in it, we're done.*/
/*──────────────────────────────────drawSphere──────────────────────────────────DRAWSPHERE subroutine───────────────*/
drawSphere: procedure; parse arg r, k, ambient /*get the arguments*/
if 1=='f1'x then shading='.:!*oe&#%@' /*for EBCDIC machsdithering.*/
else shading='·:!º°oe@░▒▓' /*forASCII " ASCI machines*/
lightSource = '30 30 -50' lightSource = '30 30 -50' /*the light source.*/
parse value norm(lightSource) with s1 s2 s3 /*normalize light S*/
sLen=length(shading); sLen1=sLen-1; rr=r*r /*handy-dandy vars.*/
 
do i=floor(-r) to ceil(r) ; x= i+.5; xx=x**2; aLine=
do j=floor(-2*r) to ceil(2*r); y=j/2+.5; yy=y**2
if xx+yy<=rr then do /*within the phere?*/
parse value norm(x y sqrt(rr-xx-yy)) with v1 v2 v3
dot=s1*v1 + s2*v2 + s3*v3 /*dot product of Vs*/
if dot>0 then dot=0 /*if pos, make it 0*/
b=abs(dot)**k + ambient /*calc. brightness.*/
if b<=0 then brite=sLenm1
else brite=trunc( max( (1-b) * sLen1, 0) )
aLine=aLine || substr(shading,brite+1,1) /*build.*/
end
else aLine=aLine' ' /*append a blank. */
end /*j*/
say strip(aLine,'trailing') /*show a line of it*/
end /*i*/ /* [↑] show sphere*/
end /*i*/
return
/*─────────────────────────────────────subroutines────────────────────────────*/
/*─────────────────────────────────────"1-liner" subroutines────────────*/
ceil: procedure; parse arg x; _=trunc(x); return _ + (x>0) * (x\=_)
floor: procedure; parse arg x; _=trunc(x); return _ - (x<0) * (x\=_)
norm: parse arg _1 _2 _3; _=sqrt(_1*_1*2+_2*_2*2+_3*_3*2); return _1/_ _2/_ _3/_
/*─────────────────────────────────────SQRT subroutine────────────────────────*/
sqrt: procedure; parse arg x; if x=0 then return 0; d=digits(); p=d+d%4+2; return m.sqrt(x)/1=11
.sqrt: d=digits(); numeric digits 11; g=.sqrtGuess()
numeric digits m.;numeric form;parse value format(x,2,1,,0) 'E0' with g 'E' _ .
g=g*.5'E'_%2; do j=0 while p>9; m.j=p; p=p%2+1; end
do k=j+5 to 0 by -1 to 0; if m.k>11 then numeric digits m.k; g=.5*(g+x/g); end
return g
.sqrtGuess: numeric form;digits m.=11d; p=d+d%4+2; return v=format(x,2,g/1,,0) 'E0'</lang>
parse var v g 'E' _ .; return g*.5'E'_%2</lang>
'''output'''
<pre style="height:105ex">
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eoooooooooooooooeeeee@@@@@@@░
ooººº°°°!!!!!!!!ºººººº°°°°°°ooooeeeee@@@@@@@░░
oºº°°!!!:::::::::!!!!!ººººº°°°°°ooooeeee@@@@@@@░░░
oº°!!::::·········:::::!!!!ººº°°°ooooeeeee@@@@@@@░░░░
oº°!:::················::::!!!ºººº°°°°oooeeeee@@@@@@@░░░░░
oº°!::····················::::!!!ºººº°°°°oooeeeee@@@@@@@░░░░░░
oº°!::·······················:::!!!!ººº°°°ooooeeee@@@@@@@@░░░░░░░
oº°!::·························:::!!!ººº°°°ooooeeeee@@@@@@@░░░░░░░░
oº°!:···························:::!!!ºººº°°°°oooeeeee@@@@@@@@░░░░░░░░
oº°!::··························::::!!!ººº°°°ooooeeeee@@@@@@@@░░░░░░░░░
oº°!::···························:::!!!!ººº°°°ooooeeeee@@@@@@@@░░░░░░░░░░
oº°!!::··························::::!!!ºººº°°°°ooooeeeee@@@@@@@@░░░░░░░░░░░
eoº°!!::·························::::!!!ºººº°°°°ooooeeeee@@@@@@@@@░░░░░░░░░░░░
ooº°!!::························::::!!!ºººº°°°°ooooeeeeee@@@@@@@@░░░░░░░░░░░░░
eooº°!!:::·····················::::!!!!ºººº°°°°oooooeeeee@@@@@@@@@░░░░░░░░░░░░░░
eooºº°°!!:::·················:::::!!!!!ºººº°°°°ooooeeeeee@@@@@@@@@░░░░░░░░░░░░░░░
eooºº°°!!!:::::··········:::::::!!!!!ºººº°°°°oooooeeeeee@@@@@@@@@@░░░░░░░░░░░░░░░
eeooººº°°°!!!:::::::::::::::::!!!!!!ººººº°°°°°oooooeeeeee@@@@@@@@@@░░░░░░░░░░░░░░░░
eeoooººº°°°!!!!!!!:::::::!!!!!!!!ºººººº°°°°°°oooooeeeeee@@@@@@@@@@@░░░░░░░░░░░░░░░░░
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Line 3,066 ⟶ 3,065:
░░░░░░░░░░░░░░░░░
 
::···:::!!!º°o
··············::!!º°oo
··················::!!ºº°°ooe
·····················::!!ºº°°ooee
·······················::!!ºº°°ooee
························::!!ºº°°oooee
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