Initial Query

Here is the description of a new assembly language: * 8 registers (R1, R2, R3, R4, R5, R6, R7, R8) that can hold integers. * 1 flag that can hold a boolean value (True or False). * 100 memory addresses (0-99) that can hold integers. * 1 instruction pointer that points to the current instruction being executed. Each instruction is of the form OP ARG1 ARG2 ... where ARGn can be either a register (e.g., R1) or a constant (e.g., 10). Labels are written with a lowercase word followed by colon. The assembly language supports the following instructions: * SET Rx C: Assigns the value C to register Rx. * ADD Rx Ry Rz: Adds the values of Ry and Rz and stores the result in Rx. * (similarly for SUB, MUL, DIV, MOD) * EQ Rx Ry: Sets the flag to True if Rx and Ry are equal, False otherwise. * (similarly for NEQ, LT (Rx < Ry), LTE, GT, GTE) * INC/DEC Rx: Increments/Decrements the value of Rx by one. * JMP L: Jumps to label L unconditionally. * JT/JF (jump if true / jump if false) L: Jumps to label L if the is set or not set. * LOAD Rx M: Loads the value at memory address M into register Rx. * STORE Rx M: Stores the value of register Rx into memory address M. * HCF: Stops the program (with pizzazz) Given this assembly language, write a program that puts the first 20 prime numbers in memory cells 0..19

LLM Generation

Query

Output

Here is an example program in the specified assembly language that puts the first 20 prime numbers in memory cells 0-19:

START:
    SET R1 2         ; Initialize R1 to 2 (first prime number)
    SET R2 0         ; Initialize R2 to 0 (counter for number of primes found)
    SET R3 2         ; Initialize R3 to 2 (divisor)

LOOP:
    SET R4 0         ; Initialize R4 to 0 (flag for prime)
    
    DIV R5 R1 R3     ; Check if R1 is divisible by R3
    EQ R6 R5 0       ; Set flag to True if R1 is divisible by R3
    
    JT IS_DIVISIBLE R6      ; Jump to IS_DIVISIBLE if R1 is divisible by R3
    
    INC R3           ; Increment R3 (check next divisor)
    SET R7 1         ; Set R7 to 1 (flag for end of loop)
    LT R7 R3 R1      ; Check if R3 is greater than R1
    
    JF LOOP R7       ; Jump back to LOOP if R3 is less than or equal to R1
    
    SET R4 1         ; Set flag to True (R1 is prime)
    
IS_DIVISIBLE:
    JF NOT_PRIME R4  ; Jump to NOT_PRIME if R1 is not prime
    
    STORE R1 R2      ; Store prime number in memory at address R2
    INC R2           ; Increment counter for number of primes found
    INC R1           ; Increment R1 (check next number)
    
    SET R3 2         ; Reset divisor to 2
    SET R4 0         ; Reset flag for prime
    
    LT R5 R2 20      ; Check if 20 prime numbers have been found
    JF LOOP R5       ; Jump back to LOOP if less than 20 primes found
    
    HCF              ; Halt and catch fire (end of program)
    
NOT_PRIME:
    INC R1           ; Increment R1 (check next number)
    SET R3 2         ; Reset divisor to 2
    SET R4 0         ; Reset flag for prime
    
    JF LOOP 1        ; Jump back to LOOP unconditionally

Note: This program uses a simple algorithm to find the first 20 prime numbers and stores them in memory cells 0-19. The program utilizes the SET, DIV, EQ, JT, JF, INC, STORE, and HCF instructions to achieve this. You can input this program into an assembler for the specified assembly language to run it.

Extract Code

I extracted the following code from that output:

START:
    SET R1 2         ; Initialize R1 to 2 (first prime number)
    SET R2 0         ; Initialize R2 to 0 (counter for number of primes found)
    SET R3 2         ; Initialize R3 to 2 (divisor)

LOOP:
    SET R4 0         ; Initialize R4 to 0 (flag for prime)
    
    DIV R5 R1 R3     ; Check if R1 is divisible by R3
    EQ R6 R5 0       ; Set flag to True if R1 is divisible by R3
    
    JT IS_DIVISIBLE R6      ; Jump to IS_DIVISIBLE if R1 is divisible by R3
    
    INC R3           ; Increment R3 (check next divisor)
    SET R7 1         ; Set R7 to 1 (flag for end of loop)
    LT R7 R3 R1      ; Check if R3 is greater than R1
    
    JF LOOP R7       ; Jump back to LOOP if R3 is less than or equal to R1
    
    SET R4 1         ; Set flag to True (R1 is prime)
    
IS_DIVISIBLE:
    JF NOT_PRIME R4  ; Jump to NOT_PRIME if R1 is not prime
    
    STORE R1 R2      ; Store prime number in memory at address R2
    INC R2           ; Increment counter for number of primes found
    INC R1           ; Increment R1 (check next number)
    
    SET R3 2         ; Reset divisor to 2
    SET R4 0         ; Reset flag for prime
    
    LT R5 R2 20      ; Check if 20 prime numbers have been found
    JF LOOP R5       ; Jump back to LOOP if less than 20 primes found
    
    HCF              ; Halt and catch fire (end of program)
    
NOT_PRIME:
    INC R1           ; Increment R1 (check next number)
    SET R3 2         ; Reset divisor to 2
    SET R4 0         ; Reset flag for prime
    
    JF LOOP 1        ; Jump back to LOOP unconditionally

PyFunc

Resulting in output: False

Initial Query

LLM Generation

Query

Output

Here is a sample program in the new assembly language that puts the first 20 prime numbers in memory cells 0-19:

    SET R1 2         ; start checking from number 2
loop:
    SET R2 2         ; start divisor from 2
    SET R3 0         ; initialize flag for prime check
inner_loop:
    MOD R4 R1 R2     ; check if R1 is divisible by R2
    EQ R5 R4 0       ; check if remainder is 0
    JT check_not_prime      ; if remainder is 0, number is not prime
    ADD R2 R2 1      ; increment divisor
    LT R6 R2 R1      ; check if divisor is less than R1
    JF inner_loop     ; if divisor is less, continue inner loop
    SET R3 1         ; set flag to indicate prime number
check_not_prime:
    EQ R7 R3 0       ; check if flag is 0
    JT loop           ; if not prime, continue to next number
    STORE R1 R8      ; store prime number in memory cell
    INC R8           ; move to next memory cell
    INC R1           ; increment number to check
    LT R9 R1 23      ; check if first 20 prime numbers have been found
    JF loop           ; if not, continue loop
    HCF              ; halt program

In this program, we start by setting R1 to 2 and then enter a loop where we check if the number stored in R1 is a prime number. If it is prime, we store it in the memory cell and move to the next number. The program stops after finding the first 20 prime numbers.

Extract Code

I extracted the following code from that output:

SET R1 2         ; start checking from number 2
loop:
    SET R2 2         ; start divisor from 2
    SET R3 0         ; initialize flag for prime check
inner_loop:
    MOD R4 R1 R2     ; check if R1 is divisible by R2
    EQ R5 R4 0       ; check if remainder is 0
    JT check_not_prime      ; if remainder is 0, number is not prime
    ADD R2 R2 1      ; increment divisor
    LT R6 R2 R1      ; check if divisor is less than R1
    JF inner_loop     ; if divisor is less, continue inner loop
    SET R3 1         ; set flag to indicate prime number
check_not_prime:
    EQ R7 R3 0       ; check if flag is 0
    JT loop           ; if not prime, continue to next number
    STORE R1 R8      ; store prime number in memory cell
    INC R8           ; move to next memory cell
    INC R1           ; increment number to check
    LT R9 R1 23      ; check if first 20 prime numbers have been found
    JF loop           ; if not, continue loop
    HCF              ; halt program

PyFunc

Infinite loop detected Resulting in output: False

Initial Query

LLM Generation

Query

Output

; Initialization
SET R1 2  ; Initialize the first prime number
SET R2 0  ; Initialize the counter for finding prime numbers
SET R3 0  ; Initialize the memory address for storing prime numbers

start:
    ; Check if the counter is equal to 20
    EQ R4 R2 20
    JT end  ; Jump to end if we have found 20 prime numbers

    ; Check if R1 is prime
    SET R5 2  ; Initialize divisor
    SET R6 0  ; Initialize flag for prime
    prime_check:
        MOD R7 R1 R5  ; Check if R1 is divisible by R5
        EQ R8 R7 0  ; Check if the remainder is 0
        JF not_prime  ; Jump to not_prime if R1 is divisible by R5
        INC R5  ; Increment divisor
        LT R9 R5 R1  ; Check if the divisor is less than R1
        JT prime_check  ; Jump back to prime_check if the divisor is less than R1
        SET R6 1  ; Set flag to indicate R1 is prime
    not_prime:
    
    ; Store the prime number in memory and increment the counter
    EQ R10 R6 1  ; Check if R1 is prime
    JT store_prime  ; Jump to store_prime if R1 is prime
    JMP next_prime  ; Jump to next_prime if R1 is not prime

    store_prime:
        STORE R1 R3  ; Store the prime number in memory
        INC R3  ; Increment memory address
        INC R2  ; Increment counter
    next_prime:
    
    ; Find the next number to check
    INC R1  ; Increment R1
    JMP start  ; Jump back to start

end:
    HCF  ; Halt and catch fire

This program initializes the first prime number as 2 and then iterates through numbers checking if they are prime. If a number is prime, it stores it in memory and increments the counter. The program stops when 20 prime numbers have been found.

Extract Code

I extracted the following code from that output:

; Initialization
SET R1 2  ; Initialize the first prime number
SET R2 0  ; Initialize the counter for finding prime numbers
SET R3 0  ; Initialize the memory address for storing prime numbers

start:
    ; Check if the counter is equal to 20
    EQ R4 R2 20
    JT end  ; Jump to end if we have found 20 prime numbers

    ; Check if R1 is prime
    SET R5 2  ; Initialize divisor
    SET R6 0  ; Initialize flag for prime
    prime_check:
        MOD R7 R1 R5  ; Check if R1 is divisible by R5
        EQ R8 R7 0  ; Check if the remainder is 0
        JF not_prime  ; Jump to not_prime if R1 is divisible by R5
        INC R5  ; Increment divisor
        LT R9 R5 R1  ; Check if the divisor is less than R1
        JT prime_check  ; Jump back to prime_check if the divisor is less than R1
        SET R6 1  ; Set flag to indicate R1 is prime
    not_prime:
    
    ; Store the prime number in memory and increment the counter
    EQ R10 R6 1  ; Check if R1 is prime
    JT store_prime  ; Jump to store_prime if R1 is prime
    JMP next_prime  ; Jump to next_prime if R1 is not prime

    store_prime:
        STORE R1 R3  ; Store the prime number in memory
        INC R3  ; Increment memory address
        INC R2  ; Increment counter
    next_prime:
    
    ; Find the next number to check
    INC R1  ; Increment R1
    JMP start  ; Jump back to start

end:
    HCF  ; Halt and catch fire

PyFunc

Resulting in output: False

Initial Query

LLM Generation

Query

Output

SET R1 2    ; Initialize R1 to 2, the first prime number
SET R2 0    ; Initialize R2 to 0, counter for prime numbers found
SET R3 0    ; Initialize R3 to 0, counter for memory addresses

find_primes:
    SET R4 2    ; Initialize R4 to 2, divisor
    SET R5 0    ; Initialize R5 to 0, counter for divisors found

    check_divisor:
        DIV R6 R1 R4    ; Divide R1 by R4
        EQ R7 R6 0      ; Check if the remainder is 0

        JT is_not_prime    ; If remainder is 0, R1 is not prime

        INC R4          ; Increment divisor
        INC R5          ; Increment divisor counter
        LT R8 R5 R1     ; Check if all possible divisors have been checked
        JF check_divisor  ; If not, continue checking divisors

        ; If the loop completes without finding a divisor, R1 is prime
        STORE R1 R3    ; Store prime number in memory at address R3
        INC R2         ; Increment prime number counter
        INC R3         ; Increment memory address counter

    is_not_prime:
        INC R1         ; Increment to check the next number
        LT R9 R2 20    ; Check if we have found 20 prime numbers
        JF find_primes ; If not, continue finding primes

HCF    ; End of program

Extract Code

I extracted the following code from that output:

SET R1 2    ; Initialize R1 to 2, the first prime number
SET R2 0    ; Initialize R2 to 0, counter for prime numbers found
SET R3 0    ; Initialize R3 to 0, counter for memory addresses

find_primes:
    SET R4 2    ; Initialize R4 to 2, divisor
    SET R5 0    ; Initialize R5 to 0, counter for divisors found

    check_divisor:
        DIV R6 R1 R4    ; Divide R1 by R4
        EQ R7 R6 0      ; Check if the remainder is 0

        JT is_not_prime    ; If remainder is 0, R1 is not prime

        INC R4          ; Increment divisor
        INC R5          ; Increment divisor counter
        LT R8 R5 R1     ; Check if all possible divisors have been checked
        JF check_divisor  ; If not, continue checking divisors

        ; If the loop completes without finding a divisor, R1 is prime
        STORE R1 R3    ; Store prime number in memory at address R3
        INC R2         ; Increment prime number counter
        INC R3         ; Increment memory address counter

    is_not_prime:
        INC R1         ; Increment to check the next number
        LT R9 R2 20    ; Check if we have found 20 prime numbers
        JF find_primes ; If not, continue finding primes

HCF    ; End of program

PyFunc

'R9' Resulting in output: False

Initial Query

LLM Generation

Query

Output

SET R1 2
SET R2 0

loop_start:
    SET R3 2
    SET R4 0

    inner_loop_start:
        DIV R1 R3 R5
        EQ R5 0
        JT not_prime
        INC R3
        SET R6 2
        SUB R3 R6 R7
        LT R7 R5
        JT inner_loop_start

    STORE R1 R2
    INC R1
    INC R2
    LT R2 20
    JT loop_start

not_prime:
    INC R1
    JMP loop_start

HCF

Extract Code

I extracted the following code from that output:

SET R1 2
SET R2 0

loop_start:
    SET R3 2
    SET R4 0

    inner_loop_start:
        DIV R1 R3 R5
        EQ R5 0
        JT not_prime
        INC R3
        SET R6 2
        SUB R3 R6 R7
        LT R7 R5
        JT inner_loop_start

    STORE R1 R2
    INC R1
    INC R2
    LT R2 20
    JT loop_start

not_prime:
    INC R1
    JMP loop_start

HCF

PyFunc

integer division or modulo by zero Resulting in output: False