Trigonometry Functions
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.
ScriptName SineCosineTangent ; script originally by Galerion float ang float rad float cos float sin float tan float exp Begin {appropriate blocktype} ; how one sets ang depends on implementation. Here it is the player's Z rotation set ang to Player.GetAngle Z ; normalize angle if ( ang < -180 ) set ang to ( ang + 360 ) elseif ( ang > 180 ) set ang to ( ang - 360 ) endif ; approximate sine and cosine of the angle set rad to ( ang * 0.0174533 ) set cos to 1 set exp to rad ; 1st set sin to exp set exp to ( exp * rad ) ; 2nd set cos to ( cos - exp / 2 ) set exp to ( exp * rad ) ; 3rd set sin to ( sin - exp / 6 ) set exp to ( exp * rad ) ; 4th set cos to ( cos + exp / 24 ) set exp to ( exp * rad ) ; 5th set sin to ( sin + exp / 120 ) set exp to ( exp * rad ) ; 6th set cos to ( cos - exp / 720 ) set exp to ( exp * rad ) ; 7th set sin to ( sin - exp / 5040 ) set exp to ( exp * rad ) ; 8th set cos to ( cos + exp / 40320 ) set exp to ( exp * rad ) ; 9th set sin to ( sin + exp / 362880 ) ; get tangent set tan to ( sin / cos ) End
This can be placed within your own code or run as a separate script and checked by yours (though the former is probably easier). The sin, cos, and tan variables are your outputs, ang is your input.
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.