**HP Prime & TI-84: Bearing and Azimuth Conversions**

Azimuth vs Bearing |

**AZ2BE (Azimuth to Bearing)**

Note: Bearings start clockwise from due north. Bearings will be reduced to angles between 0°
to 360°.

Three outputs
will be returned: bearing, direction
string, and quadrant reference number (for reference). The HP Prime version will return a list.

**HP Prime AZ2BE:**

EXPORT AZ2BE(θ)

BEGIN

// Azimuth to
Bearing

// EWS
2015-07-19

LOCAL q,b,s;

θ≔θ MOD 360;

q≔IP(θ/90)+1;

// Determining
the Bearing Angle

IF q==1 THEN

b≔θ; s:=”NE”;

END;

IF q==2 THEN

b≔ABS(θ-180); s≔”SE”;

END;

IF q==3 THEN

b≔θ-180; s≔”SW”;

END;

IF q==4 THEN

b≔ABS(θ-360); s≔”NW”

END;

RETURN {b,s,q};

END;

**TI-84+ AZ2BE:**

Input
"ANGLE:",θ

360*fPart(θ/360)+360*(θ<0)→θ

iPart(θ/90)+1→Q

If Q=1:Then

θ→B

"NE"→Str1:End

If Q=2:Then

abs(θ-180)→B

"SE"→Str1

End

If Q=3:Then

θ-180→B

"SW"→Str1

End

If Q=4:Then

abs(θ-360)→B

"NW"→Str1

End

Disp
"BEARING",B

Disp Str1,Q

**BE2AZ (Bearing to Azimuth)**

Note: Bearings outside of range of 0° to 90° or
quadrant numbers outside of 1 to 4 will result in an “UNEXPECTED RESULT”
message.

Quadrants:

Quadrant 1: Northeast

Quadrant 2: Southeast

Quadrant 3: Southwest

Quadrant 4: Northwest

**HP Prime BE2AZ:**

EXPORT
BE2AZ(b,q)

BEGIN

// Bearing to
Azimuth

// bearing,
quadrant

// 1 = NE, 2 =
SE, 3 = SW, 4 = NW

// 2015-07-19 EWS

LOCAL θ;

// Are b and q
in the proper range?

IF b<0 OR
b>90 OR q<1 OR q>4 THEN

RETURN “Unexpected
Value”;

KILL;

END;

// Calculation

q≔IP(q);

IF q==1 THEN

θ≔b;

END;

IF q==2 THEN

θ≔180-b;

END;

IF q==3 THEN

θ≔b+180;

END;

IF q==4 THEN

θ≔360-b;

END;

RETURN θ;

END;

**TI-84+ BE2AZ:**

Input
"BEARING:",B

Disp
"1=NE"

Disp
"2=SE"

Disp
"3=SW"

Disp
"4=NW"

Input
"Q:",Q

If B<0 or
B>90 or Q<1 or Q>4

Then

Disp
"UNEXPECTED VALUE"

Stop

End

iPart(Q)→Q

If Q=1:Then

B→θ:End

If Q=2:Then

180-B→θ:End

If Q=3:Then

B+180→θ:End

If Q=4:Then

360-B→θ:End

Disp
"AZIMUTH:",θ

**Examples:**

Azimuth: 68°, Bearing: 68° bearing NE (q=1)

Azimuth: 164°,
Bearing: 16° bearing SE (q=2)

Azimuth: 224°,
Bearing: 44° bearing SW (q=3)

Azimuth: 321°,
Bearing: 39° bearing NW (q=4)

This blog is property
of Edward Shore. 2015