Difference between revisions of "Trigonometry Functions"

Trigonometry Functions (edit)

Revision as of 17:44, 6 May 2006

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imported>DragoonWraith

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 This is a repository of functions used in trigonometry - namely Sine, Cosine, Tangent, Arcsine, Arccosine, and Arctangent.
-There are a number of methods for obtaining these, some more accurate and others faster. Here is one for Sine, Cosine, and Tangent.
+There are many methods of obtaining any or all of these, and each has its own benefits and drawbacks in terms of length, efficiency, and speed. This page is a work in progress - please add any scripts you have for approximating these functions. Please remember to comment them thoroughly and to use generic variable names.
+= Sine, Cosine, and Tangent =
   ScriptName SineCosineTangent
@@ Line 56: / Line 59: @@
 This script is more accurate than it needs to be. Galerion suggests that only the first seven steps are necessary.
-'''Note''': this is a work in progress. As stated, there are a number of methods for these. Please add any if you have them. Please make them well-commented and use generically named variables.
+= Arcsine, Arccosine, and Arctangent =
+According to [http://www.wikipedia.org Wikipedia], arcsine can be found with this series:
+[[Image:Arcsine.png]]
+This can be approximated by Oblivion using the following script:
+ scriptname Arcsine
+ ;script originally supplied by DragoonWraith
+ float z
+ float z3
+ float z5
+ float z7
+ float arcsinz
+ Begin {appropriate blocktype}
+ ;z can be set depending on implementation
+ ;here it is set to the number of places discovered by the player
+ ;(a completely bizarre thing to find the arcsine of)
+   set z to GetPCMiscStat 7
+   set z3 to ( z * z * z )
+   set z5 to ( z3 * z * z )
+   set z7 to ( z5 * z * z )
+   set arcsinz to ( z + (1/2)*(z3/3) + (3/8)*(z5/5) + (15/48)*(z7/7) )
+ End
+More terms will increase accuracy. Remember than sin=opp/hyp - the only way you are actually going to need this is if you know the opposite side of the triangle and the hypotenuse.
+== See Also ==
+[http://www.elderscrolls.com/forums/index.php?showtopic=374963 Elder Scrolls Forums - Trigonometry Function Workarounds?]
 [[Category: Extra_Math_Functions]]
 [[Category: Useful_Code]]