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One area in which the PIC microcontroller is de cient is in sorting data. The reason for this comment is the relatively small le register banks for storing array data, as well as the single FSR index address register in low-end and mid-range PIC microcontrollers. These two features make sorting data quite dif cult and inef cient. Having said this, there are always cases where code for sorting data is required. I have come up with my own bubble sort code for the PIC microcontroller. The bubble sort algorithm consists of repeatedly running through an array of values, comparing one value to the next, and if the next value is lower than the current, they are swapped. The algorithm ends when it can be determined that every element has been checked in every position in the array (which makes the algorithm quite slow and is known as an order N squared, which means that how long it takes to execute is proportional to the number of elements squared). The example C pseudocode for the subroutine follows:
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BubbleSort(Int reg[4]) { int i, j; for (i = 0; i < 5; i++) // Test 1x for each array value for (j = 0; j < 4; j++) // Compare entire array if (reg[j] > reg[j + 1]) { Temp = reg[j]; // Swap if next is lower than current reg[j] = reg[j + 1]; reg[j + 1] = Temp; } // endif } // End BubbleSort /
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TABLE 8.5 REQUIRED VARIABLES FOR THE SORTING ROUTINE VARIABLE FUNCTION
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reg1 Rega Next Llow Addr Lend
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Start of array of values to be sorted Array of sorted values Location to put the next sorted value Value of the last lowest number Location of the last lowest number Location of the list end
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The input is a single-dimensional array of values, and the output is a single-dimensional array of the values sorted in ascending order. The variables used by the code are listed in Table 8.5. The code is as follows and is designed for sorting four values. The size of the array to be sorted can be increased easily by changing the lend value before the start of the routine:
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Sort: ; Now, In the Sorting Routine movlw rega ; Setup Where you are Storing the Result movwf next movlw reg4 ; For Shrinking List, Get the Last Addr movwf lend ; Watch for the Ending Value Loop: movlw movwf movwf movf movwf Loop2: movf subwf btfsc goto incf movf subwf btfsc goto ; Loop Around Here Until List is Empty ; Load FSR for Searching for the lowest ; At Start, Assume the First is Lowest ; Get the Current and Use As the Lowest ; Save it as the Current Lowest ; Loop Here Until FSR = lend ; Are we at the end ; If Zero Flag is Set, We re At the End ; Save the Currently Lowest Value ; Now, Look at the Next Value
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reg1 FSR addr INDF, w llow
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FSR, w lend, w STATUS, Z Save FSR, f llow, w INDF, w STATUS, C Loop2
; Do we Have Something that s Lower ; If Carry Set, then current is Lowest
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movf movwf movf movwf goto
INDF, w llow FSR, w addr Loop2
; Current is the Lowest - Save It ; And, Save the Address It s at ; Loop Around and Look at the Next
; The List has been Checked and low and addr have Lowest ; Current ; Value and its Address, Respectively. Save: ; Now, Save the Currently Lowest Value movf next, w ; Store it in the FSR movwf FSR movf movwf movf sublw btfsc goto incf llow, w INDF next, w regd STATUS, Z PEnd next, f ; Get the Lowest ; Store it in the Sorted List ; Are we at the End of the List ; If NOT Zero, then Loop Around ; Else, They Match, End the Program ; Increment Pointer to the Next Value has been Put in the Sorted List, the Value we took out Address the Value was Taken Out Of in the FSR for Later
; The Lowest Current Value ; Now, Shorten the List at movf addr, w ; Get movwf FSR ; Put Loop3: movf subwf btfsc goto incf movf decf movwf incf goto Skip: decf goto
; Now, Loop Around Storing the New List FSR, w ; Are we at the End of the List lend, w STATUS, Z ; Is the Zero Flag Set Skip ; Yes, List Has been Copied FSR, f INDF, w FSR, f INDF FSR Loop3 ; Get Next Value and Store in Current