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; Sort is All Finished PEnd: ; Program End return
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There s a bit of a story to this routine. On the PICLIST, somebody asked for a routine that sorted four numbers in one list and put them in another. After working for about 3 hours, I came up with the preceding solution. It was quite an eye opener when I saw what other people came up with; while I improved the baseline code by about three times (three times shorter execution time and about a third of the original code size), the best solutions were almost a hundred times better! The solutions presented were designed to do exactly what was required: Sort four numbers from one list and put them in another. Developing a macro for comparing two values and putting the lowest rst, the solution was
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least least least least least least regc, regb, regb, regc, regb, regc, regd regc rega regd regc regd ; Move the Lowest Value to Front of ; beginning of List ; Move 2nd Lowest Value to 2nd from ; the Front ; Put the two highest in order
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The macro used to accomplish this was
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least macro reg1, reg2 movf reg2, w subwf reg1, w btfsc STATUS, C goto $+6 movf reg1, w xorwf reg2, w xorwf reg2 xorwf reg2, w movwf reg1 endm
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The lesson I learned in all this is to understand what the customer wants. While the routine I created is very clever and took a bit of work, it is too general, and a more speci c solution was perfect for the customer s requirements. Because of the hardware restrictions in the PIC microcontroller, I limit the sorting routines to basically what you see here. In other microcontrollers with processors that can access large amounts of memory indirectly and have built-in data stacks, I would recommend using the QuickSort routine. This routine divides an array into two halves, one above and one below the mean . This process is repeated (i.e., the routine is called recursively) until the data is sorted. The pseudocode for QuickSort is
QuickSort( int Bottom, int Top ) { int i, j; int mean; // Sort the Array from // Bottom to Top
ASSEMBLY-LANGUAGE SOFTWARE TECHNIQUES
int temp; if ( Top == ( Bottom + 1 )){ // Do A Sort on Last // Two Elements
if ( Array[ Bottom ] > Array[ Top ] ) { temp = Array[ Bottom ]; // Swap the Two // Elements Array[ Bottom ] = Array[ Top ]; Array[ Top ] = temp; } } else { // Sort > 2 Elements in to 2 // Halves for ( i = Bottom; i < ( Top + 1 ); i++ ) // Get Array // Total mean += Array[ i ]; mean = mean / ( Top + 1 - Bottom ) i = Bottom; j = Top; while ( i != j ) { // Get Array Mean
// Split the Data into // two halves
while (( Array[ i ] < mean ) && ( i != j )) i++; // Find Array Element Above Mean while (( Array[ j ] < mean ) && ( i != j )) j++; // Find Array Element Below Mean if ( i != j ) { // temp = Array[ i ]; // Array[ i ] = Array[ j ]; Array[ j ] = temp; // } } // QuickSort( j, Top ); if ( i > Bottom ) QuickSort( Bottom, i ); } // Finished Sorting } // End QuickSort // // // // Swap the Two Value Positions - Lower Half is Less than Mean - Upper Half is >= mean Finished Splitting the Data Sort the Top Half of the Data Sort the Bottom Half of Data
INTERRUPTS
The advantage of QuickSort is that it is an Order NlogN sort, which means that the time required for the sort is proportional to the product of the number of elements times the base 2 logarithm of the number of elements. For many small arrays of data to sort, BubbleSort is more ef cient than QuickSort, but as the array size grows, QuickSort becomes the preferred sorting method very quickly. I do not recommend trying to implement QuickSort in the PIC microcontroller for a number of reasons. First, QuickSort is a recursive algorithm. You will nd that the PIC microcontroller s program counter stack will be used up very quickly if QuickSort is used. I have implemented QuickSort in BASIC without requiring recursive calls, but it does require a lot of memory for storing intermediate array starts, ends, and means. QuickSort may be an option for the PIC18 devices, but it is de nitely inappropriate for the low-end and mid-range PIC microcontrollers.
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