Degrees to decimal conversion
Hi all
I have a decimal readout from a device which is giving me
a 16bit value (65535) for 1 resolution (360 deg)
I want to enter serially degrees.xx and convert this to a 16 bit value and also to a 12bit value
Decimal_value_16bit var word '(0-65535)
Decimal_value_12bit var word '(0-4098)
degrees var word '(0-360)
degrees_fraction var byte '(.xx)
serin2 rxd,84,[degrees,wait ".",degrees_fraction]
Any idea how this can be done ? pse I dont want to use "longs"
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No longs? ... We don't need no stinking Longs ...
But a little N-Bit_MATH will definitely help. http://www.picbasic.co.uk/forum/showthread.php?t=12433
To go from decimal degrees to 16-bit binary it would take ...
65535 * degrees / 35999
If you were using an 18F with PBPL ... that's all you would need.
But if you don't want LONGs, then ...
65535 * anything bigger than 1 will take more than 16-bits.
And since DIV32 is really DIV31/15 ... 35999 is too big for the divisor (max is 32767).
So N-Bit_Math to the rescue.
And here's some of the output from a 16F876A ...Code:rxd var PORTC.7 txd var PORTC.6 HIGH txd Decimal_value_16bit var word '(0-65535) Decimal_value_12bit var word '(0-4098) degrees var word '(0-360) degrees_fraction var byte '(.xx) degree_Total var word '----[N-Bit Math]----------------------------------------------------------- PRECISION CON 4 SYSTEM ; 4 bytes=32-bit INCLUDE "N-Bit_MATH.pbp" Temp1 VAR BYTE[PRECISION] Temp2 VAR BYTE[PRECISION] '----[Main Program Loop]---------------------------------------------------- Main: serout2 txd,84,[13,10,"Enter Degrees (Max=359.99): "] serin2 rxd,84,[DEC degrees,DEC2 degrees_fraction] Degree_Total = degrees * 100 + degrees_fraction ASM MOVE?WP _degree_Total, _Temp1 ; copy degrees to a PVAR MOVE?CP 65535, _Temp2 ; put multiplier in a PVAR MATH_MUL _Temp1, _Temp2, _Temp1 ; Temp1 = DEG * 65535 MOVE?CP 35999, _Temp2 MATH_DIV _Temp1, _Temp2, _Temp1 ; Temp1 = Temp1 / 35999 (16-bit result) MOVE?PP _Temp1, _Temp2 ; copy result to Temp2 MATH_ROR _Temp2 ; rotate right 4 times MATH_ROR _Temp2 MATH_ROR _Temp2 MATH_ROR _Temp2 ; Temp2 is now 12-bits MOVE?PW _Temp1, _Decimal_value_16bit ; copy PVAR's to WORDs MOVE?PW _Temp2, _Decimal_value_12bit ENDASM serout2 txd,84,[13,10,"16-bit: ",HEX4 Decimal_value_16bit," ",DEC Decimal_value_16bit,13,10] serout2 txd,84,["12-bit: ",HEX4 Decimal_value_12bit," ",DEC Decimal_value_12bit,13,10] GOTO Main
DT
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Hi Darrel,
Thanks a lot this is working perfect
Imagine if I would like to do the opposite
so from a 10 or 12bit value (representing 1 revolution) to deg.xx
Can you put me on the right tracks to do that ?
Decimal_value_10bit var word '(0-1024)
Decimal_value_12bit var word '(0-4098)
degrees var word '(0-360)
degrees_fraction var byte '(.xx)
degree_Total var word
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It's essentially the same thing, with the order of the formula reversed.Originally Posted by RFsolution
Originally for degrees to 16-bit we had ...
65536 * degrees / 36000 (notice I've changed the constants)
The reverse would be ...
16-bit * 36000 / 65536
You can change between any of the scales by simply changing the order and the constants.
degrees to 12-bit ... degrees * 4096 / 36000
12-bit to degrees ... 12-bit * 36000 / 4096
degrees to 10-bit ... degrees * 1024/ 36000
10-bit to degrees ... 10-bit * 36000 / 1024
Here's a macro for N-Bit_Math that will let you do it easily ...
Then you can convert any of the scales to any other scale by providing the macro the From value with the "range" that variable goes to, a variable to put the result in and the range that variable should span.Code:ASM Convert macro WFrom, Frange, WTo, Trange MOVE?WP WFrom, _Temp1 ; copy From value to Temp1 Pvar MOVE?CP Frange, _Range1 ; put From Range in Range1 Pvar MOVE?CP Trange, _Range2 ; put To range in Range2 MATH_MUL _Temp1, _Range2, _Temp1 ; Temp1 = From * To_Range MATH_DIV _Temp1, _Range1, _Temp1 ; Temp1 = Temp1 / From_Range MOVE?PW _Temp1, WTo ; copy result to word variable WTo endm ENDASM
To convert the original degrees to 16-bit, you would ...or to 12-bit ...Code:@ Convert _degree_Total, 36000, _Decimal_value_16bit, 65536Going the other way is just as easy.Code:@ Convert _degree_Total, 36000, _Decimal_value_12bit, 4096
Here's a test program ...Code:@ Convert _Decimal_value_16bit, 65536, _degree_Total, 36000 @ Convert _Decimal_value_12bit, 4096, _degree_Total, 36000
And here's some output from the test program ...Code:<font color="#000000">rxd <b>VAR </b>PORTC.7 txd <b>VAR </b>PORTC.6 <b>HIGH </b>txd Decimal_value_16bit <b>VAR WORD </b><font color="#000080"><i>'(0-65535) </i></font>Decimal_value_12bit <b>VAR WORD </b><font color="#000080"><i>'(0-4095) </i></font>degrees <b>VAR WORD </b><font color="#000080"><i>'(0-359) </i></font>degrees_fraction <b>VAR BYTE </b><font color="#000080"><i>'(.xx) </i></font>degree_Total <b>VAR WORD </b><font color="#000080"><i>'----[N-Bit Math]--------------------------------------------------------------- </i></font>PRECISION <b>CON </b>4 SYSTEM <font color="#000080"><i>; 4 bytes=32-bit </i></font><b>INCLUDE </b><font color="#FF0000">"N-Bit_MATH.pbp" </font>Temp1 <b>VAR BYTE</b>[PRECISION] Range1 <b>VAR BYTE</b>[PRECISION] Range2 <b>VAR BYTE</b>[PRECISION] <b>ASM </b><font color="#008000">Convert macro WFrom, Frange, WTo, Trange MOVE?WP WFrom, _Temp1 </font><font color="#000080"><i>; copy From value to Temp1 Pvar </i></font><font color="#008000">MOVE?CP Frange, _Range1 </font><font color="#000080"><i>; put From Range in Range1 Pvar </i></font><font color="#008000">MOVE?CP Trange, _Range2 </font><font color="#000080"><i>; put To range in Range2 </i></font><font color="#008000">MATH_MUL _Temp1, _Range2, _Temp1 </font><font color="#000080"><i>; Temp1 = From * To_Range </i></font><font color="#008000">MATH_DIV _Temp1, _Range1, _Temp1 </font><font color="#000080"><i>; Temp1 = Temp1 / From_Range </i></font><font color="#008000">MOVE?PW _Temp1, WTo </font><font color="#000080"><i>; copy result to word variable WTo </i></font><font color="#008000">endm </font><b>ENDASM </b><font color="#000080"><i>'----[Main Program Loop]-------------------------------------------------------- </i></font>Main: <b>SEROUT2 </b>txd,84,[13,10,<font color="#FF0000">"Enter Degrees (Max=359.99): "</font>] <b>SERIN2 </b>rxd,84,[<b>DEC </b>degrees,<b>DEC2 </b>degrees_fraction] Degree_Total = degrees * 100 + degrees_fraction <font color="#000080"><i>;--- degrees to 16-bit --- </i></font><font color="#008000">@ Convert _degree_Total, 36000, _Decimal_value_16bit, 65536 </font><b>SEROUT2 </b>txd,84,[13,10,<font color="#FF0000">"16-bit: "</font>,<b>HEX4 </b>Decimal_value_16bit,<font color="#FF0000">" "</font>,<b>DEC </b>Decimal_value_16bit,13,10] <font color="#000080"><i>;--- degrees to 12-bit --- </i></font><font color="#008000">@ Convert _degree_Total, 36000, _Decimal_value_12bit, 4096 </font><b>SEROUT2 </b>txd,84,[<font color="#FF0000">"12-bit: "</font>,<b>HEX4 </b>Decimal_value_12bit,<font color="#FF0000">" "</font>,<b>DEC </b>Decimal_value_12bit,13,10] <font color="#000080"><i>;--- 16-bit to degrees --- </i></font><font color="#008000">@ Convert _Decimal_value_16bit, 65536, _degree_Total, 36000 </font><b>SEROUT2 </b>txd,84,[<font color="#FF0000">"Deg from 16-bit: "</font>,<b>DEC </b>degree_Total/100,<font color="#FF0000">"."</font>,<b>DEC2 </b>degree_Total,13,10] <font color="#000080"><i>;--- 12-bit to degrees --- </i></font><font color="#008000">@ Convert _Decimal_value_12bit, 4096, _degree_Total, 36000 </font><b>SEROUT2 </b>txd,84,[<font color="#FF0000">"Deg from 12-bit: "</font>,<b>DEC </b>degree_Total/100,<font color="#FF0000">"."</font>,<b>DEC2 </b>degree_Total,13,10] <b>GOTO </b>Main
DT
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