Sharp PC-1403 - Page 228

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•REMAR K S
1 . C o nve rs i on t o p o l a r c oo r d i nates from ort h ogona l coo r d i nat e s r = O an d H= i nd efini t e
if r= y = O
r = V x 2 + y 2 + z 2
fl= s in - 1 (z/ r )
cp =tan - 1 (y / x ) if x > O
cj>= 90 ° i f x = O a n d y ~ O
<j> = -90 ° if x = O a n d y < O
<j> = t a n- 1 ( y / x) + 1 8 0 ° if x < O a nd y ~ O
< l> = tan - 1 ( y / x) - 18 0 ° i t x < O and y < O
• HOW T O OPERAT E
1 . P ress ~ II) ( f or co n v e rs i o n t o polar coord i n ate fro m o rt h og o n a l c oo r -
din a t e s) .
Wh e n t h e va l ue o f ea c h of o rt h ogo n al c oo rdin a t e s x, y , an d z i s in put a c co rding t o
the di s p l a y, the v a l ue of e ac h of po l a r coord i n a tes r , e , an d cj> ap pe ars o n the
scree n i n t h e o r d er na m e d and then t he p ro g ra m end s .
2 . P ress m 00 ( f or c o n v er s ion to orthog o n a l c o o r d i nate s fr om pol ar c oo r -
dina t es ).
When t h e va lu e of ea ch of po l ar c oor di na tes R, fl, a nd cp is inp u t , ea c h v al ue of x,
y, a nd z a pp ea r s on t he sc ree n i n the or de r named and the n th e prog ra m ends.
r~ote : Whe n th e unit of a ng l e spec i fic ati on is D EG , the r es u l t of a conv ersion is
obtain e d i n u n i ts of deg r e es . Li kewise, w h e n t h e ang ul a r u nit s pe ci f i ed is RA D ,
co n v ersi o n i s perfo rmed in uni ts o f ra d i a ns .
T h is i s a v e ry useful p r og ram f or effecti n g c onv e r sions be t ween orthogona l co ord i na t es
and po l ar ( s ph e r i c a l) c oor d i nates in three dime n s i o n s. W h en each da ta for c o nve r -
sio n is i np ut, the res u l t of the co nv e r s i o n is ob t ained ac cordi ng to the un i t of a ngle
wh i c h is effe ctive a t t h at ti me .
PROGRAM T I TLE : Con v ersions between Orthogonal Coordinate s and Polar
Coordinates