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2013-02-15T19:12:49Z

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2013-02-07T10:33:42Z

Created page with "= Action = ATN2 is a four-quadrant arc-tangent. While the ATN-function returns from -p/2 (-90°) to p/2 (90°), the ATN2 function returns the w..."

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== (**COPIED FROM ENGLISH PAGE**) === Action =

ATN2 is a four-quadrant arc-tangent.

While the ATN-function returns from -p/2 (-90°) to p/2 (90°), the ATN2 function returns the whole range of a circle from -p (-180°) to +p (180°). The result depends on the ratio of Y/X and the signs of X and Y.

 

 

= Syntax =

var = ATN2( y, x )

 

 

= Remarks =
<div style="padding: 0px; margin: 0px 0px 0px 4px;">
{| width="539" cellspacing="0" cellpadding="1" border="1" style="border: 2px solid rgb(0, 0, 0); border-spacing: 0px; border-collapse: collapse;"
|- style="vertical-align: top;"
| valign="top" width="10%" style="width: 50px; border: 1px solid rgb(0, 0, 0);" |
Var

| valign="top" width="100%" style="width: 480px; border: 1px solid rgb(0, 0, 0);" |
A single variable that is assigned with the ATN2 of variable single.

|- style="vertical-align: top;"
| valign="top" width="10%" style="width: 50px; border: 1px solid rgb(0, 0, 0);" |
X

| valign="top" width="100%" style="width: 480px; border: 1px solid rgb(0, 0, 0);" |
The single variable with the distance in x-direction.

|- style="vertical-align: top;"
| valign="top" width="10%" style="width: 50px; border: 1px solid rgb(0, 0, 0);" |
Y

| valign="top" width="100%" style="width: 480px; border: 1px solid rgb(0, 0, 0);" |
The single variable with the distance in y-direction

|}
</div>
 

 

[[File:Atn2.gif|center|Atn2.gif]]

 
<div style="padding: 0px; margin: 0px 0px 0px 4px;">
{| width="411" cellspacing="0" cellpadding="1" border="1" style="border: 2px solid rgb(0, 0, 0); border-spacing: 0px; border-collapse: collapse;"
|- style="vertical-align: top;"
| valign="top" width="20%" bgcolor="#ffff99" style="width: 79px; background-color: rgb(255, 255, 153); border: 1px solid rgb(0, 0, 0);" |
Quadrant

| valign="top" width="21%" bgcolor="#ffff99" style="width: 83px; background-color: rgb(255, 255, 153); border: 1px solid rgb(0, 0, 0);" |
Sign Y

| valign="top" width="22%" bgcolor="#ffff99" style="width: 87px; background-color: rgb(255, 255, 153); border: 1px solid rgb(0, 0, 0);" |
Sign X

| valign="top" width="39%" bgcolor="#ffff99" style="width: 147px; background-color: rgb(255, 255, 153); border: 1px solid rgb(0, 0, 0);" |
ATN2

|- style="vertical-align: top;"
| valign="top" width="20%" style="width: 79px; border: 1px solid rgb(0, 0, 0);" |
I

| valign="top" width="21%" style="width: 83px; border: 1px solid rgb(0, 0, 0);" |
+

| valign="top" width="22%" style="width: 87px; border: 1px solid rgb(0, 0, 0);" |
+

| valign="top" width="39%" style="width: 147px; border: 1px solid rgb(0, 0, 0);" |
0 to p/2

|- style="vertical-align: top;"
| valign="top" width="20%" style="width: 79px; border: 1px solid rgb(0, 0, 0);" |
II

| valign="top" width="21%" style="width: 83px; border: 1px solid rgb(0, 0, 0);" |
+

| valign="top" width="22%" style="width: 87px; border: 1px solid rgb(0, 0, 0);" |
-

| valign="top" width="39%" style="width: 147px; border: 1px solid rgb(0, 0, 0);" |
p/2 to p

|- style="vertical-align: top;"
| valign="top" width="20%" style="width: 79px; border: 1px solid rgb(0, 0, 0);" |
III

| valign="top" width="21%" style="width: 83px; border: 1px solid rgb(0, 0, 0);" |
-

| valign="top" width="22%" style="width: 87px; border: 1px solid rgb(0, 0, 0);" |
-

| valign="top" width="39%" style="width: 147px; border: 1px solid rgb(0, 0, 0);" |
-p/2 to -p

|- style="vertical-align: top;"
| valign="top" width="20%" style="width: 79px; border: 1px solid rgb(0, 0, 0);" |
IV

| valign="top" width="21%" style="width: 83px; border: 1px solid rgb(0, 0, 0);" |
-

| valign="top" width="22%" style="width: 87px; border: 1px solid rgb(0, 0, 0);" |
+

| valign="top" width="39%" style="width: 147px; border: 1px solid rgb(0, 0, 0);" |
0 to –p/2

|}
</div>
 

If you go with the ratio Y/X into ATN you will get same result for X greater zero (right side in coordinate system) as with ATN2. ATN2 uses X and Y and can give information of the angle of the point over 360° in the coordinates system.

 

All trig functions work with radians. Use deg2rad and rad2deg to convert between radians and angles.

 

 

= See Also =

[[RAD2DEG]] , [[DEG2RAD]] , [[COS]] , [[SIN]] , [[TAN]] , [[ATN]]

 

 

= Example =

 <source lang="bascomavr">
$regfile = "m48def.dat" ' specify the used micro
$crystal = 8000000 ' used crystal frequency
$baud = 19200 ' use baud rate
$hwstack = 32 ' default use 32 for the hardware stack
$swstack = 10 ' default use 10 for the SW stack
$framesize = 40 ' default use 40 for the frame space

Config Com1 = Dummy , Synchrone = 0 , Parity = None , Stopbits = 1 , Databits = 8 , Clockpol = 0

Dim S As Single , X As Single
X = 0.5 : S = 1.1
S = Atn2(s , X)
Print S ' prints 1.144164676

End
</source> {{Languages}}

[[Category:BASCOM_Language_Reference/de]]

ATN2/de - Revision history

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Admin: Created page with "= Action = ATN2 is a four-quadrant arc-tangent. While the ATN-function returns from -p/2 (-90°) to p/2 (90°), the ATN2 function returns the w..."