Difference between revisions of "LlAcos"
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{{ | {{LSL Function | ||
|func_id=172|func_sleep=0.0|func_energy=10.0 | |func_id=172|func_sleep=0.0|func_energy=10.0 | ||
|func=llAcos|sort=Acos | |func=llAcos|sort=Acos | ||
|return_type=float | |return_type=float | ||
|p1_type=float|p1_name=val|p1_desc= | |p1_type=float|p1_name=val|p1_desc=must fall in the range {{Interval|gte=-1.0|center=val|lte=1.0}} | ||
|return_text=that is the arccosine in radians of | |p1_hover=must fall in the range {{Interval/Text2|gte=-1.0|center=val|lte=1.0}} | ||
|spec|caveats | |return_text=that is the arccosine in radians of {{LSLP|val}} | ||
|examples=< | |func_footnote=The returned value is in the range {{Interval|gte=0.0|center=return|lte=[[PI]]|lteh=PI}}{{Interval/Footnote}} | ||
|spec | |||
|caveats | |||
|examples= | |||
<source lang="lsl2"> | |||
// This example exercises the full valid range of argument from -1.0 to +1.0 | |||
default | default | ||
{ | { | ||
touch_start(integer | touch_start(integer num_detected) | ||
{ | { | ||
float | float random = llFrand(2.0) - 1.0; | ||
llOwnerSay("The arccosine of " + (string) | |||
llOwnerSay("The arccosine of " + (string)random + " is " + (string)llAcos(random)); | |||
} | } | ||
}</ | } | ||
</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= | ||
| Line 20: | Line 44: | ||
{{LSL DefineRow|[[llCos]]||cosine}} | {{LSL DefineRow|[[llCos]]||cosine}} | ||
{{LSL DefineRow|[[llTan]]|[[llAtan2]]|tangent & inverse tangent}} | {{LSL DefineRow|[[llTan]]|[[llAtan2]]|tangent & inverse tangent}} | ||
|also_articles={{LSL DefineRow||{{wikipedia| | |also_articles={{LSL DefineRow||{{wikipedia|Inverse trigonometric function}}|}} | ||
|notes | |notes | ||
|cat1=Math/Trigonometry | |cat1=Math/Trigonometry | ||
Revision as of 23:07, 21 January 2015
| LSL Portal | Functions | Events | Types | Operators | Constants | Flow Control | Script Library | Categorized Library | Tutorials |
Summary
Function: float llAcos( float val );| 172 | Function ID |
| 0.0 | Forced Delay |
| 10.0 | Energy |
Returns a float that is the arccosine in radians of val
| • float | val | – | must fall in the range [-1.0, 1.0] |
Caveats
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
Deep Notes
Footnotes
- ^ The ranges in this article are written in Interval Notation.
Signature |
|---|
function float llAcos( float val ); |