Contrary to the current description, it should hold y == tan(atan(y)) for ALL y.
However, x == atan(tan(x)) only holds for those x which are in the range of atan, which are those x with -pi/2 < x < pi/2.
Of course, those equalities are limited by precision. On my machine
tan(atan(1000)) returns 1000.0000000001.
atan(tan(0)) returns 0 (correct).
atan(tan(M_PI)) returns -1.2246467991474E-16 instead of 0.
atan
(PHP 4, PHP 5, PHP 7)
atan — 역탄젠트
설명
float atan
( float
$arg
)
arg 라디안의 역탄젠트 값을 반환합니다.
atan()는 tan()의 역함수로,
atan()의 범위 안에 있는 모든 값에 대하여
a==tan(atan(a))가 성립합니다.
인수
-
arg -
계산할 인수
반환값
arg 라디안의 역탄젠트.
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User Contributed Notes 4 notes
Anonymous ¶
10 years ago
darren_wheatley at hotmail dot com ¶
20 years ago
Arc Tan curve manipulation.
I used this formula to help with increasing and then diminishing return for y given an increasing x for a game.
Ie: Food production (output) is y. Food research is x.
The more research you put into x the more you produce, however after a certain point you get less reward.
y = atan(x - pi()) + pi()/2;
The + pi()/2 moves it up the y axis so you'd add more if you want it to start higher.
The x - pi() moves it to the right so you'd minus more to move it more.
If you want stretched along the y axis change it to 2 * atan( ...... )
Dunno how useful it is... but it's there.
Daz
joelperr at kiwi-interactif dot com ¶
18 years ago
to obtain the direction of the line, you are better to use the <? atan2((y2-y1)/(x2-x1)) ?> function, since the regular atan function will only return arguments in the half-plane, ie. if y2-y1 and x2-x1 are negative, atan will give you an angle measurement less than 90 degrees, while it really should be between 180 and 270
