; ======================================================================================== ; ADDER.asm - Sum of Array Elements with Carry Handling ; ======================================================================================== ; This program demonstrates how to sum all elements of an array using ARM assembly. ; It uses ADDS (Add Set flags) and ADC (Add with Carry) instructions to properly ; handle carries when the sum exceeds 32 bits, enabling summation of large numbers. AREA RESET, DATA, READONLY ; Define a read-only data section for the vector table EXPORT __Vectors ; Export the vector table for external linking __Vectors ; Start of the vector table DCD 0x10001000 ; Stack pointer initial value (points to top of stack) DCD Reset_Handler ; Address of the reset handler (program entry point) ALIGN ; Ensure proper alignment for the next section AREA MYCODE, CODE, READONLY ; Define the code section as read-only ENTRY ; Mark the entry point of the program EXPORT Reset_Handler ; Export the reset handler function ; ======================================================================================== ; Reset_Handler - Main program execution ; ======================================================================================== ; Algorithm Overview: ; 1. Initialize pointer to the array of numbers to be summed ; 2. Initialize accumulator registers (R2 for sum, R5 for carry/upper 32 bits) ; 3. Process each element in the array using a loop ; 4. Use ADDS to add each element and set carry flag ; 5. Use ADC to add the carry to the upper 32 bits ; 6. Store the final 64-bit sum (lower 32 bits + upper 32 bits) Reset_Handler ; Step 1: Initialize array pointer and loop counter ; R0 points to the beginning of the source array LDR R0, =SRC ; R0 = address of first element in SRC array ; R3 holds the number of elements to sum (10 elements total) MOV R3, #10 ; R3 = 10 (loop counter) ; Step 2: Main summation loop UP ; Load the next element from the array ; Post-increment addressing advances R0 to the next element LDR R1, [R0], #4 ; Load next element into R1, advance R0 ; Add the current element to the running sum ; ADDS adds R1 to R2 and sets condition flags including carry flag ; This handles addition within the lower 32 bits ADDS R2, R1 ; R2 = R2 + R1, set carry flag if overflow ; Add the carry from the previous addition to the upper 32 bits ; ADC adds #0 + carry flag to R5, effectively capturing the carry ; This extends the summation to 64 bits total ADC R5, #0 ; R5 = R5 + 0 + carry (from previous ADDS) ; Decrement loop counter and set condition flags SUBS R3, #1 ; R3 = R3 - 1, set flags for branch condition ; Branch back to UP if counter is not zero BNE UP ; If R3 != 0, continue loop ; Step 3: Store the final result ; The result is a 64-bit sum stored in two 32-bit words ; R2 contains the lower 32 bits of the sum ; R5 contains the upper 32 bits (carry accumulated from all additions) LDR R4, =Result ; R4 = address of result storage STR R2, [R4] ; Store lower 32 bits of sum STR R5, [R4] ; Store upper 32 bits (should be [R4, #4]) ; ======================================================================================== ; Data Section - Array of numbers to be summed ; ======================================================================================== ; SRC array contains 10 elements to be added together: ; Sum = 0x12345678 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 ; The result will be stored as a 64-bit value due to potential overflow SRC DCD 0x12345678, 0x00000001, 0x00000002, 0x00000003, 0x00000004, 0x00000005, 0x00000006, 0x00000007, 0x00000008, 0x00000009 AREA mydata, DATA, READWRITE ; Define a read-write data section ; Result storage for the 64-bit sum ; Should store two 32-bit words: [lower_sum, upper_sum] Result DCD 0 ; Space for lower 32 bits of sum END ; End of the assembly program