And now I'm thinking of...

Post #161,987 by inthane-chan 6/28/04 6:38:36 PM Reply	And now I'm thinking of... ...just building a lookup table with all 360 angles. Tired of lying in the sunshine staying home to watch the rain. You are young and life is long and there is time to kill today. And then one day you find ten years have got behind you. No one told you when to run, you missed the starting gun.
Post #161,988 by admin 6/28/04 6:43:47 PM Reply	360? You only need 90... ;-) Regards, -scott anderson "Welcome to Rivendell, Mr. Anderson..."
Post #161,998 by deSitter 6/28/04 7:38:05 PM Reply	Probably worth it instead of modulo-ing angles - plus you get an unambiguous arctan without fuss. -drl
Post #162,008 by a6l6e6x 6/28/04 10:01:03 PM Reply	A computational alternative. There is no reason to have a more precise result than a human can notice. Use the sine expansion: sin( x ) = x - ( x³/3! ) + ( x⁵/5! ) - ... and the cosine expansion: cos ( x ) = 1 - (x²/2!) + (x⁴/4!) - ... Of course the angle x has to be in radians (360 degrees is 2 PI radians) and you need to keep x small (i.e. no more than say PI/2 and THIS IS IMPORTANT!). That just means you have to know what quadrant you're in and supply the proper sign to the values. If you want to be less than 1 percent off, take each series to 4 terms (i.e sine term with 7! divisor and cosine term with 6! divisor. The factorials can be precomputed constants. Save and compute each power from the prior power of x: x = ? x2 = x * x x3 = x2 * x etc. Obviously, all floating point variables. What this approach does is probably the same as what the library function does, but it quits much earlier and gives a less accurate but acceptable result. Alex Honor has not to be won; it must only not be lost. -- Arthur Schopenhauer (1788-1860), German philosopher
Post #162,019 by inthane-chan 6/29/04 12:17:20 AM Reply	This suddenly got much easier. I, at most, want a person to take a full second to rotate the ship a full 360 degrees. Since there are sixty heartbeats per second in this system (FPS maxes out at 60 for this project) I'll only need 60 "positions" out of the 360 that are actually there - at 0, 6, 12, etc. Building the table will take less than a second at startup, even on slower computers. And it will help slower computers run it. Tired of lying in the sunshine staying home to watch the rain. You are young and life is long and there is time to kill today. And then one day you find ten years have got behind you. No one told you when to run, you missed the starting gun.
Post #162,030 by ben_tilly 6/29/04 1:12:25 AM Reply	That might not be how the library does it... I've heard that at least some libraries find that it is faster and more efficient to have a partial table of sin's and cos's, then use the addition identities to fill in any one that they want: sin(x + y) = sin(x)cos(y) + sin(y)cos(x) cos(x + y) = cos(x)cos(y) - sin(x)sin(y) Cheers, Ben To deny the indirect purchaser, who in this case is the ultimate purchaser, the right to seek relief from unlawful conduct, would essentially remove the word consumer from the Consumer Protection Act - [link\|http://www.techworld.com/opsys/news/index.cfm?NewsID=1246&Page=1&pagePos=20\|Nebraska Supreme Court]

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