Maintenance script: Initial automated import

2016-02-24T18:40:08Z

Initial automated import

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{{Template:TI-BASIC:Command
|picture=RTOPR.GIF
|summary=R►Pr( calculates the radius component (in polar coordinates) given the Cartesian coordinates.
|syntax=R►Pr(''x'',''y'')
|location=Press:
# 2nd ANGLE to access the angle menu.
# 5 to select R►Pr(, or use arrows and ENTER.
|compatibility=TI-83/84/+/SE
|size=1 byte
}}

R►Pr( (Rectangular to polar radius) takes the (''x'',''y'') (Cartesian) coordinates, and gives the radius coordinate ''r'' of the same point in (''r'',''θ'') (polar) mode. The identity used for this conversion is ''r''² = ''x''²+''y''²

R►Pr(3,4)
5
√(3²+4²)
5
R►Pr({6,5},{8,12})
{10 13}

The function works even when the equivalent √(''x''²+''y''²) fails due to overflow:

R►Pr(3e99,4e99)
5e99

= Optimization =

R►Pr( is the smallest way to implement the distance formula <math>d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}</math>. Just pass it the values x,,1,,-x,,2,, and y,,1,, - y,,2,, as arguments:

:√((5-2)²+(4-0)²)
can be
:R►Pr(5-2,4-0)

= Error Conditions =

* '''[[TI-BASIC:Errors#datatype|ERR:DATA TYPE]]''' is thrown if you input a complex argument.
* '''[[TI-BASIC:Errors#dimmismatch|ERR:DIM MISMATCH]]''' is thrown if two list arguments have different dimensions.

= Related Commands =

* [[TI-BASIC:P_Rx|P►Rx(]]
* [[TI-BASIC:P_Ry|P►Ry(]]
* [[TI-BASIC:R_Ptheta|R►Pθ(]]
* [[TI-BASIC:Abs|abs(]]
* [[TI-BASIC:Square_Root|√(]][[Category:TI-BASIC]]
[[Category:TIBD]]

TI-BASIC:R Pr - Revision history

Maintenance script: Initial automated import