==== →∡d ====
<callout type="primary" color="" icon="fa fa-book" title="Synopsis">
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Mark a number as an angle in degrees / minutes / seconds
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<callout color="green" icon="fa fa-indent" title="Stack Diagram">
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^  __Input Stack__  ^  ^  __Output Stack__  ^
|  **Num**  |  **→**  |  **∡<sub>dms</sub>**  |
|  //Level 1//  |  //→//  |  //Level 1//  |

{{page>manual:chapter6:aux:legend&nofooter&noeditbtn&inline}}

| **Keyword type**  | [[manual:chapter5:basics#commands|Command]]  ||
| **Parallel list processing capabilities**  | [[manual:chapter5:listproc#group-5one-argument-one-result-commands|Group 5]]  | //One argument, one result commands//  |
| **Affected by flags**  | //None//  ||














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<callout color="orangered" icon="fa fa-comment" title="Description">
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The ''→∡d'' command turns a scalar into an angle measured in degrees / minutes / seconds.

The angle is entered / displayed as a real number in the format **DD.MMSSxxx...** where:

  * **DD** expresses the number of degrees;
  * **MM** expresses the number of minutes of arc and ranges from ''00'' to ''59'';
  * **SS** expresses the number of seconds of arc and ranges from ''00'' to ''59'';
  * **xxx...** expresses the remaining fraction of seconds of arc.
  
When a scalar is converted to an angle in degrees / minutes / seconds no check is performed to ensure that the digits at **MM** and **SS** positions range from ''00'' to ''59''. However addition of ''0'' (or multiplication by ''1'') will return a properly //normalized// angle.
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<callout type="danger" icon="true" title="Compatibility">
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''→∡d'' is specific to **newRPL** and has no direct equivalent in **userRPL**.
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<callout type="info" icon="true" title="Usage">
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To see how normalization works, let's enter an "incorrect" angle; for example $30° 75^{\prime} 10^{\prime\prime}$:\\
\\
**__Input__**
<code>
4:                                      
3:                                      
2:                                      
1:                                30.751
…………………………………………………………………………………………………………
→∡d                                     
</code>
\\
**__Output__**
<code>
4:                                      
3:                                      
2:                                      
1:                              ∡30.751d
…………………………………………………………………………………………………………
                                        
</code>
\\
To trigger normalization of $30° 75^{\prime} 10^{\prime\prime}$ it's sufficient to multiply it by ''1'':\\
\\
**__Input__**
<code>
4:                                      
3:                                      
2:                                      
1:                              ∡30.751d
…………………………………………………………………………………………………………
1 *                                     
</code>
\\
**__Output__**
<code>
4:                                      
3:                                      
2:                                      
1:                             ∡31.151.d
…………………………………………………………………………………………………………
                                        
</code>
The normalized angle is $31° 15^{\prime} 10^{\prime\prime}$.
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{{page>manual:chapter6:angles&nofooter&noeditbtn&inline}}
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