Difference between revisions of "LlAcos"

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|spec
|spec
|caveats
|caveats
|examples=<lsl>// Touch the object with this script in it to see the arccosine of random numbers!
|examples=
<source lang="lsl2">
// This example exercises the full valid range of argument from -1.0 to +1.0
 
default
default
{
{
     touch_start(integer num)
     touch_start(integer num_detected)
     {
     {
         float r = llFrand(2) - 1.0;
         float random = llFrand(2.0) - 1.0;
         llOwnerSay("The arccosine of " + (string)r + " is " + (string)llAcos(r));
 
         llOwnerSay("The arccosine of " + (string)random + " is " + (string)llAcos(random));
     }
     }
}</lsl>
}
</source>
 
<source lang="lsl2">
//An example for the Law of Cosines to calculate any angle of a triangle from 3 known side lengths.
 
default
{
    touch_start(integer num_detected)
    {       
        vector t=< llFrand(9.0)+1.0 , llFrand(9.0)+1.0 , llFrand(9.0)+1.0 >; //the 3 values of this vector are used to set the lengths of 3 sides of a triangle.
 
        float anglexy=llAcos( (t.x*t.x+t.y*t.y-(t.z*t.z)) / ( 2*t.x*t.y) ) //Law Of Cosines
 
        llOwnerSay("Using the Law Of Cosines, the angle of a triangle between side a="+(string)t.x+"and side b="+(string)t.y+"is = "+(string)anglexy+" radians="+(string)(anglexy*RAD_TO_DEG)+"° and that angle is not on side c="+(string)t.z);
    }
}
</source>
|helpers|related
|helpers|related
|also_functions=
|also_functions=

Revision as of 23:07, 21 January 2015

Summary

Function: float llAcos( float val );

Returns a float that is the arccosine in radians of val

• float val must fall in the range [-1.0, 1.0]

The returned value is in the range [0.0, PI][1]

Examples

//  This example exercises the full valid range of argument from -1.0 to +1.0

default
{
    touch_start(integer num_detected)
    {
        float random = llFrand(2.0) - 1.0;

        llOwnerSay("The arccosine of " + (string)random + " is " + (string)llAcos(random));
    }
}
//An example for the Law of Cosines to calculate any angle of a triangle from 3 known side lengths.

default
{
    touch_start(integer num_detected)
    {        
        vector t=< llFrand(9.0)+1.0 , llFrand(9.0)+1.0 , llFrand(9.0)+1.0 >; //the 3 values of this vector are used to set the lengths of 3 sides of a triangle.

        float anglexy=llAcos( (t.x*t.x+t.y*t.y-(t.z*t.z)) / ( 2*t.x*t.y) ) //Law Of Cosines

        llOwnerSay("Using the Law Of Cosines, the angle of a triangle between side a="+(string)t.x+"and side b="+(string)t.y+"is = "+(string)anglexy+" radians="+(string)(anglexy*RAD_TO_DEG)+"° and that angle is not on side c="+(string)t.z);
    }
}

See Also

Functions

• llSin llAsin sine & inverse Sine
• llCos cosine
• llTan llAtan2 tangent & inverse tangent

Articles

•  "Wikipedia logo"Inverse trigonometric function

Deep Notes

Search JIRA for related Issues

Footnotes

  1. ^ The ranges in this article are written in Interval Notation.

Signature

function float llAcos( float val );