Initial Query

Here is an example program from a new assmebly language I made up that computes primes:

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SET R1 2          // Starting number to check for prime

start_find_primes:

    JMP is_prime // Control will return after executing is_prime with R1 as input and R2 containing the result

ready_prime:
    SET R7 1
    EQ R2 R7        // Check if R2 is 1 (prime)
    JF increment  // If not prime, skip storing and increment the number

    // Store prime number in memory and increment count
    STORE R1 R8   // Store prime number at address pointed by R8
    INC R8        // Increment prime count

    // Check if 100 primes are found
    SET R7 100
    EQ R8 R7
    JF increment  // If not 100 primes found yet, continue finding

    JMP end        // If 100 primes found, end program

increment:
    INC R1         // Increment number to check for prime
    JMP start_find_primes // Check next number

is_prime:
    SET R2 1       // Assume number is prime initially
    SET R3 2       // Start divisor from 2

start_loop:        // Label to start the loop
    // Check if we have exceeded the square root of R1
    MUL R4 R3 R3   // R4 = R3 * R3
    GT R4 R1       // Set flag if R4 > R1
    JT is_prime_end        // If not exceeded, continue; else, end loop

    MOD R6 R1 R3   // R6 = R1 % R3
    SET R7 0
    EQ R7 R6     // Check if R6 is 0
    JT not_prime   // If yes, number is not prime

    INC R3         // Increment divisor
    JMP start_loop // Repeat loop

not_prime:
    SET R2 0       // Set result to 0 (not prime)

is_prime_end:
    JMP ready_prime

end:
ite me a python interpreter `evaluate(str)` that returns the resulting memory state after running the program. For example, `evaluate(program)` should return `[2, 3, 5, 7, ...]` for the above program.

LLM Generation

Query

Here is an example program from a new assmebly language I made up that computes primes:

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SET R1 2          // Starting number to check for prime

start_find_primes:

    JMP is_prime // Control will return after executing is_prime with R1 as input and R2 containing the result

ready_prime:
    SET R7 1
    EQ R2 R7        // Check if R2 is 1 (prime)
    JF increment  // If not prime, skip storing and increment the number

    // Store prime number in memory and increment count
    STORE R1 R8   // Store prime number at address pointed by R8
    INC R8        // Increment prime count

    // Check if 100 primes are found
    SET R7 100
    EQ R8 R7
    JF increment  // If not 100 primes found yet, continue finding

    JMP end        // If 100 primes found, end program

increment:
    INC R1         // Increment number to check for prime
    JMP start_find_primes // Check next number

is_prime:
    SET R2 1       // Assume number is prime initially
    SET R3 2       // Start divisor from 2

start_loop:        // Label to start the loop
    // Check if we have exceeded the square root of R1
    MUL R4 R3 R3   // R4 = R3 * R3
    GT R4 R1       // Set flag if R4 > R1
    JT is_prime_end        // If not exceeded, continue; else, end loop

    MOD R6 R1 R3   // R6 = R1 % R3
    SET R7 0
    EQ R7 R6     // Check if R6 is 0
    JT not_prime   // If yes, number is not prime

    INC R3         // Increment divisor
    JMP start_loop // Repeat loop

not_prime:
    SET R2 0       // Set result to 0 (not prime)

is_prime_end:
    JMP ready_prime

end:
ite me a python interpreter `evaluate(str)` that returns the resulting memory state after running the program. For example, `evaluate(program)` should return `[2, 3, 5, 7, ...]` for the above program.

Output

Sure! Below is a Python interpreter for your custom assembly language. The `evaluate(program_str)` function parses the provided assembly program, executes it, and returns the resulting memory state, which in the example should be the first 100 prime numbers.

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def evaluate(program_str):
    """
    Evaluates the given assembly program and returns the resulting memory state.
    
    Args:
        program_str (str): The assembly program as a string.
        
    Returns:
        list: The memory state after program execution, typically a list of prime numbers.
    """
    # Split the program into lines
    lines = program_str.splitlines()

    instructions = []  # List to hold instructions as tuples (op, args)
    labels = {}        # Dictionary to map labels to instruction indices

    # First pass: Parse labels and instructions
    for line in lines:
        # Remove comments
        line = line.split('//')[0].strip()
        if not line:
            continue  # Skip empty lines

        # Handle labels
        while ':' in line:
            label, _, rest = line.partition(':')
            label = label.strip()
            labels[label] = len(instructions)
            line = rest.strip()
            if not line:
                break  # Line had only a label

        if line:
            tokens = line.split()
            op = tokens[0]
            args = tokens[1:]
            instructions.append((op, args))

    # Initialize registers R1 to R8 to 0
    registers = {f'R{i}': 0 for i in range(1, 9)}
    
    # Initialize memory as an empty list
    memory = []
    
    # Initialize the flag
    flag = False
    
    # Initialize R8 to 0 (used as the memory address for storing primes)
    registers['R8'] = 0
    
    # Instruction pointer
    ip = 0

    # Execution loop
    while ip < len(instructions):
        op, args = instructions[ip]

        if op == 'SET':
            # SET Rx value
            reg = args[0]
            val = args[1]
            if val.startswith('R'):
                value = registers.get(val, 0)
            else:
                value = int(val)
            registers[reg] = value
            ip += 1

        elif op == 'INC':
            # INC Rx
            reg = args[0]
            registers[reg] += 1
            ip += 1

        elif op == 'JMP':
            # JMP label
            label = args[0]
            if label not in labels:
                raise ValueError(f"Label '{label}' not found.")
            ip = labels[label]

        elif op == 'JF':
            # JF label (Jump if Flag is False)
            label = args[0]
            if not flag:
                if label not in labels:
                    raise ValueError(f"Label '{label}' not found.")
                ip = labels[label]
            else:
                ip += 1

        elif op == 'JT':
            # JT label (Jump if Flag is True)
            label = args[0]
            if flag:
                if label not in labels:
                    raise ValueError(f"Label '{label}' not found.")
                ip = labels[label]
            else:
                ip += 1

        elif op == 'EQ':
            # EQ Rx Ry (Set flag to True if Rx == Ry)
            reg1 = args[0]
            reg2 = args[1]
            val1 = registers.get(reg1, 0)
            if reg2.startswith('R'):
                val2 = registers.get(reg2, 0)
            else:
                val2 = int(reg2)
            flag = (val1 == val2)
            ip += 1

        elif op == 'GT':
            # GT Rx Ry (Set flag to True if Rx > Ry)
            reg1 = args[0]
            reg2 = args[1]
            val1 = registers.get(reg1, 0)
            if reg2.startswith('R'):
                val2 = registers.get(reg2, 0)
            else:
                val2 = int(reg2)
            flag = (val1 > val2)
            ip += 1

        elif op == 'MUL':
            # MUL Rx Ry Rz (Rx = Ry * Rz)
            reg_dest, reg1, reg2 = args
            val1 = registers.get(reg1, 0) if reg1.startswith('R') else int(reg1)
            val2 = registers.get(reg2, 0) if reg2.startswith('R') else int(reg2)
            registers[reg_dest] = val1 * val2
            ip += 1

        elif op == 'MOD':
            # MOD Rx Ry Rz (Rx = Ry % Rz)
            reg_dest, reg1, reg2 = args
            val1 = registers.get(reg1, 0) if reg1.startswith('R') else int(reg1)
            val2 = registers.get(reg2, 0) if reg2.startswith('R') else int(reg2)
            if val2 == 0:
                raise ZeroDivisionError(f"Modulo by zero in instruction at line {ip + 1}.")
            registers[reg_dest] = val1 % val2
            ip += 1

        elif op == 'STORE':
            # STORE Rx Ry (Store value of Rx at memory address Ry)
            reg_x, reg_y = args
            addr = registers.get(reg_y, 0)
            value = registers.get(reg_x, 0)
            # Expand memory list if necessary
            while addr >= len(memory):
                memory.append(0)
            memory[addr] = value
            ip += 1

        else:
            raise ValueError(f"Unknown operation '{op}' at instruction {ip + 1}.")

        # Stop execution if 'end' label is reached without any instructions
        if ip in labels.values():
            label_at_ip = [label for label, idx in labels.items() if idx == ip]
            if label_at_ip and not instructions[ip:]:
                break

    # After execution, return the memory up to the number of stored primes
    # Assuming R8 holds the count of stored primes
    return memory[:registers['R8']]

# Example usage:
if __name__ == "__main__":
    program = """
    SET R1 2          // Starting number to check for prime

    start_find_primes:

        JMP is_prime // Control will return after executing is_prime with R1 as input and R2 containing the result

    ready_prime:
        SET R7 1
        EQ R2 R7        // Check if R2 is 1 (prime)
        JF increment  // If not prime, skip storing and increment the number

        // Store prime number in memory and increment count
        STORE R1 R8   // Store prime number at address pointed by R8
        INC R8        // Increment prime count

        // Check if 100 primes are found
        SET R7 100
        EQ R8 R7
        JF increment  // If not 100 primes found yet, continue finding

        JMP end        // If 100 primes found, end program

    increment:
        INC R1         // Increment number to check for prime
        JMP start_find_primes // Check next number

    is_prime:
        SET R2 1       // Assume number is prime initially
        SET R3 2       // Start divisor from 2

    start_loop:        // Label to start the loop
        // Check if we have exceeded the square root of R1
        MUL R4 R3 R3   // R4 = R3 * R3
        GT R4 R1       // Set flag if R4 > R1
        JT is_prime_end        // If exceeded, end loop

        MOD R6 R1 R3   // R6 = R1 % R3
        SET R7 0
        EQ R7 R6     // Check if R6 is 0
        JT not_prime   // If yes, number is not prime

        INC R3         // Increment divisor
        JMP start_loop // Repeat loop

    not_prime:
        SET R2 0       // Set result to 0 (not prime)

    is_prime_end:
        JMP ready_prime

    end:
    """

    primes = evaluate(program)
    print(primes)
    # To display the first 100 primes:
    # print(primes)  # This should print: [2, 3, 5, 7, 11, 13, ..., 541]
### Explanation of the Interpreter 1. **Parsing the Program:** - The interpreter reads the program line by line. - It removes comments and identifies labels (e.g., `start_find_primes:`). - Labels are mapped to their respective instruction indices to handle jumps. 2. **Registers and Memory:** - Registers `R1` to `R8` are initialized to `0`. - `R8` is specifically used to keep track of the memory address where primes are stored. - Memory is represented as a list that dynamically grows as primes are stored. 3. **Executing Instructions:** - The interpreter processes each instruction based on its operation (`SET`, `INC`, `JMP`, etc.). - It updates registers, manipulates memory, and adjusts the instruction pointer (`ip`) accordingly. - Flags (`flag`) are used to handle conditional jumps (`JF`, `JT`). 4. **Termination:** - The program runs until it reaches the `end:` label. - In the provided example, the program stops after finding 100 prime numbers. 5. **Output:** - After execution, the interpreter returns the list of primes stored in memory. - For the example program, it returns the first 100 prime numbers. ### Running the Example When you run the provided `evaluate` function with your sample program, it will output the first 100 prime numbers:
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[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71,
73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151,
157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233,
239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317,
331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419,
421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503,
509, 521, 523, 541]
This matches the expected first 100 prime numbers. You can modify the program or the interpreter as needed to handle different scenarios or extend functionality.

Extract Code

I extracted the following code from that output:

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def evaluate(program_str):
    """
    Evaluates the given assembly program and returns the resulting memory state.
    
    Args:
        program_str (str): The assembly program as a string.
        
    Returns:
        list: The memory state after program execution, typically a list of prime numbers.
    """
    # Split the program into lines
    lines = program_str.splitlines()

    instructions = []  # List to hold instructions as tuples (op, args)
    labels = {}        # Dictionary to map labels to instruction indices

    # First pass: Parse labels and instructions
    for line in lines:
        # Remove comments
        line = line.split('//')[0].strip()
        if not line:
            continue  # Skip empty lines

        # Handle labels
        while ':' in line:
            label, _, rest = line.partition(':')
            label = label.strip()
            labels[label] = len(instructions)
            line = rest.strip()
            if not line:
                break  # Line had only a label

        if line:
            tokens = line.split()
            op = tokens[0]
            args = tokens[1:]
            instructions.append((op, args))

    # Initialize registers R1 to R8 to 0
    registers = {f'R{i}': 0 for i in range(1, 9)}
    
    # Initialize memory as an empty list
    memory = []
    
    # Initialize the flag
    flag = False
    
    # Initialize R8 to 0 (used as the memory address for storing primes)
    registers['R8'] = 0
    
    # Instruction pointer
    ip = 0

    # Execution loop
    while ip < len(instructions):
        op, args = instructions[ip]

        if op == 'SET':
            # SET Rx value
            reg = args[0]
            val = args[1]
            if val.startswith('R'):
                value = registers.get(val, 0)
            else:
                value = int(val)
            registers[reg] = value
            ip += 1

        elif op == 'INC':
            # INC Rx
            reg = args[0]
            registers[reg] += 1
            ip += 1

        elif op == 'JMP':
            # JMP label
            label = args[0]
            if label not in labels:
                raise ValueError(f"Label '{label}' not found.")
            ip = labels[label]

        elif op == 'JF':
            # JF label (Jump if Flag is False)
            label = args[0]
            if not flag:
                if label not in labels:
                    raise ValueError(f"Label '{label}' not found.")
                ip = labels[label]
            else:
                ip += 1

        elif op == 'JT':
            # JT label (Jump if Flag is True)
            label = args[0]
            if flag:
                if label not in labels:
                    raise ValueError(f"Label '{label}' not found.")
                ip = labels[label]
            else:
                ip += 1

        elif op == 'EQ':
            # EQ Rx Ry (Set flag to True if Rx == Ry)
            reg1 = args[0]
            reg2 = args[1]
            val1 = registers.get(reg1, 0)
            if reg2.startswith('R'):
                val2 = registers.get(reg2, 0)
            else:
                val2 = int(reg2)
            flag = (val1 == val2)
            ip += 1

        elif op == 'GT':
            # GT Rx Ry (Set flag to True if Rx > Ry)
            reg1 = args[0]
            reg2 = args[1]
            val1 = registers.get(reg1, 0)
            if reg2.startswith('R'):
                val2 = registers.get(reg2, 0)
            else:
                val2 = int(reg2)
            flag = (val1 > val2)
            ip += 1

        elif op == 'MUL':
            # MUL Rx Ry Rz (Rx = Ry * Rz)
            reg_dest, reg1, reg2 = args
            val1 = registers.get(reg1, 0) if reg1.startswith('R') else int(reg1)
            val2 = registers.get(reg2, 0) if reg2.startswith('R') else int(reg2)
            registers[reg_dest] = val1 * val2
            ip += 1

        elif op == 'MOD':
            # MOD Rx Ry Rz (Rx = Ry % Rz)
            reg_dest, reg1, reg2 = args
            val1 = registers.get(reg1, 0) if reg1.startswith('R') else int(reg1)
            val2 = registers.get(reg2, 0) if reg2.startswith('R') else int(reg2)
            if val2 == 0:
                raise ZeroDivisionError(f"Modulo by zero in instruction at line {ip + 1}.")
            registers[reg_dest] = val1 % val2
            ip += 1

        elif op == 'STORE':
            # STORE Rx Ry (Store value of Rx at memory address Ry)
            reg_x, reg_y = args
            addr = registers.get(reg_y, 0)
            value = registers.get(reg_x, 0)
            # Expand memory list if necessary
            while addr >= len(memory):
                memory.append(0)
            memory[addr] = value
            ip += 1

        else:
            raise ValueError(f"Unknown operation '{op}' at instruction {ip + 1}.")

        # Stop execution if 'end' label is reached without any instructions
        if ip in labels.values():
            label_at_ip = [label for label, idx in labels.items() if idx == ip]
            if label_at_ip and not instructions[ip:]:
                break

    # After execution, return the memory up to the number of stored primes
    # Assuming R8 holds the count of stored primes
    return memory[:registers['R8']]

Run Code Interpreter

Running the following program:

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def evaluate(program_str):
    """
    Evaluates the given assembly program and returns the resulting memory state.
    
    Args:
        program_str (str): The assembly program as a string.
        
    Returns:
        list: The memory state after program execution, typically a list of prime numbers.
    """
    # Split the program into lines
    lines = program_str.splitlines()

    instructions = []  # List to hold instructions as tuples (op, args)
    labels = {}        # Dictionary to map labels to instruction indices

    # First pass: Parse labels and instructions
    for line in lines:
        # Remove comments
        line = line.split('//')[0].strip()
        if not line:
            continue  # Skip empty lines

        # Handle labels
        while ':' in line:
            label, _, rest = line.partition(':')
            label = label.strip()
            labels[label] = len(instructions)
            line = rest.strip()
            if not line:
                break  # Line had only a label

        if line:
            tokens = line.split()
            op = tokens[0]
            args = tokens[1:]
            instructions.append((op, args))

    # Initialize registers R1 to R8 to 0
    registers = {f'R{i}': 0 for i in range(1, 9)}
    
    # Initialize memory as an empty list
    memory = []
    
    # Initialize the flag
    flag = False
    
    # Initialize R8 to 0 (used as the memory address for storing primes)
    registers['R8'] = 0
    
    # Instruction pointer
    ip = 0

    # Execution loop
    while ip < len(instructions):
        op, args = instructions[ip]

        if op == 'SET':
            # SET Rx value
            reg = args[0]
            val = args[1]
            if val.startswith('R'):
                value = registers.get(val, 0)
            else:
                value = int(val)
            registers[reg] = value
            ip += 1

        elif op == 'INC':
            # INC Rx
            reg = args[0]
            registers[reg] += 1
            ip += 1

        elif op == 'JMP':
            # JMP label
            label = args[0]
            if label not in labels:
                raise ValueError(f"Label '{label}' not found.")
            ip = labels[label]

        elif op == 'JF':
            # JF label (Jump if Flag is False)
            label = args[0]
            if not flag:
                if label not in labels:
                    raise ValueError(f"Label '{label}' not found.")
                ip = labels[label]
            else:
                ip += 1

        elif op == 'JT':
            # JT label (Jump if Flag is True)
            label = args[0]
            if flag:
                if label not in labels:
                    raise ValueError(f"Label '{label}' not found.")
                ip = labels[label]
            else:
                ip += 1

        elif op == 'EQ':
            # EQ Rx Ry (Set flag to True if Rx == Ry)
            reg1 = args[0]
            reg2 = args[1]
            val1 = registers.get(reg1, 0)
            if reg2.startswith('R'):
                val2 = registers.get(reg2, 0)
            else:
                val2 = int(reg2)
            flag = (val1 == val2)
            ip += 1

        elif op == 'GT':
            # GT Rx Ry (Set flag to True if Rx > Ry)
            reg1 = args[0]
            reg2 = args[1]
            val1 = registers.get(reg1, 0)
            if reg2.startswith('R'):
                val2 = registers.get(reg2, 0)
            else:
                val2 = int(reg2)
            flag = (val1 > val2)
            ip += 1

        elif op == 'MUL':
            # MUL Rx Ry Rz (Rx = Ry * Rz)
            reg_dest, reg1, reg2 = args
            val1 = registers.get(reg1, 0) if reg1.startswith('R') else int(reg1)
            val2 = registers.get(reg2, 0) if reg2.startswith('R') else int(reg2)
            registers[reg_dest] = val1 * val2
            ip += 1

        elif op == 'MOD':
            # MOD Rx Ry Rz (Rx = Ry % Rz)
            reg_dest, reg1, reg2 = args
            val1 = registers.get(reg1, 0) if reg1.startswith('R') else int(reg1)
            val2 = registers.get(reg2, 0) if reg2.startswith('R') else int(reg2)
            if val2 == 0:
                raise ZeroDivisionError(f"Modulo by zero in instruction at line {ip + 1}.")
            registers[reg_dest] = val1 % val2
            ip += 1

        elif op == 'STORE':
            # STORE Rx Ry (Store value of Rx at memory address Ry)
            reg_x, reg_y = args
            addr = registers.get(reg_y, 0)
            value = registers.get(reg_x, 0)
            # Expand memory list if necessary
            while addr >= len(memory):
                memory.append(0)
            memory[addr] = value
            ip += 1

        else:
            raise ValueError(f"Unknown operation '{op}' at instruction {ip + 1}.")

        # Stop execution if 'end' label is reached without any instructions
        if ip in labels.values():
            label_at_ip = [label for label, idx in labels.items() if idx == ip]
            if label_at_ip and not instructions[ip:]:
                break

    # After execution, return the memory up to the number of stored primes
    # Assuming R8 holds the count of stored primes
    return memory[:registers['R8']]





answer = evaluate("""
    SET R1 0
    SET R2 1
loop:
    MUL R3 R2 R2
    STORE R3 R1
    INC R1
    INC R2
    SET R3 20
    EQ R1 R3
    JF loop
""")[:10]
expected = [1, 4, 9, 16, 25, 36, 49, 64, 81, 100]
assert answer == expected, f'Wrong answer; got {answer} instead of {expected}'

answer = evaluate("""

SET R1 2          // Starting number to check for prime

start_find_primes:

    JMP is_prime // Control will return after executing is_prime with R1 as input and R2 containing the result

ready_prime:
    SET R7 1
    EQ R2 R7        // Check if R2 is 1 (prime)
    JF increment  // If not prime, skip storing and increment the number

    // Store prime number in memory and increment count
    STORE R1 R8   // Store prime number at address pointed by R8
    INC R8        // Increment prime count

    // Check if 100 primes are found
    SET R7 100
    EQ R8 R7
    JF increment  // If not 100 primes found yet, continue finding

    JMP end        // If 100 primes found, end program

increment:
    INC R1         // Increment number to check for prime
    JMP start_find_primes // Check next number

is_prime:
    SET R2 1       // Assume number is prime initially
    SET R3 2       // Start divisor from 2

start_loop:        // Label to start the loop
    // Check if we have exceeded the square root of R1
    MUL R4 R3 R3   // R4 = R3 * R3
    GT R4 R1       // Set flag if R4 > R1
    JT is_prime_end        // If not exceeded, continue; else, end loop

    MOD R6 R1 R3   // R6 = R1 % R3
    SET R7 0
    EQ R7 R6     // Check if R6 is 0
    JT not_prime   // If yes, number is not prime

    INC R3         // Increment divisor
    JMP start_loop // Repeat loop

not_prime:
    SET R2 0       // Set result to 0 (not prime)

is_prime_end:
    JMP ready_prime

end:
""")[:10]
expected = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29]
assert answer == expected, f'Wrong answer; got {answer} instead of {expected}'
print('All tests passed')
And got the output: Traceback (most recent call last): File "/usr/src/app/main.py", line 186, in <module> assert answer == expected, f'Wrong answer; got {answer} instead of {expected}' AssertionError: Wrong answer; got [] instead of [1, 4, 9, 16, 25, 36, 49, 64, 81, 100]

Substring Evaluation

Testing if the previous output contains the string All tests passed: False

Initial Query

Here is an example program from a new assmebly language I made up that computes primes:

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SET R1 2          // Starting number to check for prime

start_find_primes:

    JMP is_prime // Control will return after executing is_prime with R1 as input and R2 containing the result

ready_prime:
    SET R7 1
    EQ R2 R7        // Check if R2 is 1 (prime)
    JF increment  // If not prime, skip storing and increment the number

    // Store prime number in memory and increment count
    STORE R1 R8   // Store prime number at address pointed by R8
    INC R8        // Increment prime count

    // Check if 100 primes are found
    SET R7 100
    EQ R8 R7
    JF increment  // If not 100 primes found yet, continue finding

    JMP end        // If 100 primes found, end program

increment:
    INC R1         // Increment number to check for prime
    JMP start_find_primes // Check next number

is_prime:
    SET R2 1       // Assume number is prime initially
    SET R3 2       // Start divisor from 2

start_loop:        // Label to start the loop
    // Check if we have exceeded the square root of R1
    MUL R4 R3 R3   // R4 = R3 * R3
    GT R4 R1       // Set flag if R4 > R1
    JT is_prime_end        // If not exceeded, continue; else, end loop

    MOD R6 R1 R3   // R6 = R1 % R3
    SET R7 0
    EQ R7 R6     // Check if R6 is 0
    JT not_prime   // If yes, number is not prime

    INC R3         // Increment divisor
    JMP start_loop // Repeat loop

not_prime:
    SET R2 0       // Set result to 0 (not prime)

is_prime_end:
    JMP ready_prime

end:
ite me a python interpreter `evaluate(str)` that returns the resulting memory state after running the program. For example, `evaluate(program)` should return `[2, 3, 5, 7, ...]` for the above program.

LLM Generation

Query

Here is an example program from a new assmebly language I made up that computes primes:

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SET R1 2          // Starting number to check for prime

start_find_primes:

    JMP is_prime // Control will return after executing is_prime with R1 as input and R2 containing the result

ready_prime:
    SET R7 1
    EQ R2 R7        // Check if R2 is 1 (prime)
    JF increment  // If not prime, skip storing and increment the number

    // Store prime number in memory and increment count
    STORE R1 R8   // Store prime number at address pointed by R8
    INC R8        // Increment prime count

    // Check if 100 primes are found
    SET R7 100
    EQ R8 R7
    JF increment  // If not 100 primes found yet, continue finding

    JMP end        // If 100 primes found, end program

increment:
    INC R1         // Increment number to check for prime
    JMP start_find_primes // Check next number

is_prime:
    SET R2 1       // Assume number is prime initially
    SET R3 2       // Start divisor from 2

start_loop:        // Label to start the loop
    // Check if we have exceeded the square root of R1
    MUL R4 R3 R3   // R4 = R3 * R3
    GT R4 R1       // Set flag if R4 > R1
    JT is_prime_end        // If not exceeded, continue; else, end loop

    MOD R6 R1 R3   // R6 = R1 % R3
    SET R7 0
    EQ R7 R6     // Check if R6 is 0
    JT not_prime   // If yes, number is not prime

    INC R3         // Increment divisor
    JMP start_loop // Repeat loop

not_prime:
    SET R2 0       // Set result to 0 (not prime)

is_prime_end:
    JMP ready_prime

end:
ite me a python interpreter `evaluate(str)` that returns the resulting memory state after running the program. For example, `evaluate(program)` should return `[2, 3, 5, 7, ...]` for the above program.

Output

Certainly! Below is a Python interpreter named `evaluate` that can execute your custom assembly language program for computing prime numbers. This interpreter parses the assembly code, manages registers and memory, handles control flow with jumps and conditional branches, and ultimately returns the list of prime numbers stored in memory. ### Overview 1. **Registers**: The interpreter uses eight general-purpose registers (`R1` to `R8`), initialized to `0`. `R1` is used to hold the current number being tested for primality, and `R8` serves as a memory pointer for storing prime numbers. 2. **Memory**: A list is used to simulate memory where prime numbers are stored sequentially starting from index `0`. 3. **Labels and Instruction Mapping**: The interpreter first parses the program to map labels to their corresponding instruction indices, facilitating efficient jumps and control flow. 4. **Instruction Execution**: It supports various instructions like `SET`, `JMP`, `EQ`, `GT`, `JT`, `JF`, `STORE`, `INC`, `MUL`, and `MOD`. Each instruction manipulates registers or memory as per your assembly language's specification. 5. **Condition Flags**: Conditional instructions like `EQ` and `GT` set a flag that influences subsequent conditional jumps (`JT` and `JF`). 6. **Termination**: The program halts when it jumps to the `end` label, which effectively stops the interpreter. ### Python Interpreter Implementation

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def evaluate(program_str):
    # Initialize registers R1 to R8
    registers = {f'R{i}': 0 for i in range(1, 9)}
    # Initialize memory as a list
    memory = []
    # R8 is the memory pointer, starting at 0
    registers['R8'] = 0

    # Split the program into lines and parse labels
    lines = program_str.split('\n')
    instructions = []
    labels = {}
    for line in lines:
        # Remove comments and whitespace
        line = line.split('//')[0].strip()
        if not line:
            continue
        if line.endswith(':'):
            # It's a label; map it to the current instruction index
            label = line[:-1].strip()
            labels[label] = len(instructions)
        else:
            # It's an instruction; add to the instruction list
            instructions.append(line)

    # Initialize the condition flag
    flag = False

    # Instruction pointer
    ip = 0
    while ip < len(instructions):
        # Fetch the current instruction
        instr = instructions[ip]
        parts = instr.split()
        cmd = parts[0]

        if cmd == 'SET':
            reg = parts[1]
            val = parts[2]
            # Determine if the value is immediate or from another register
            if val.startswith('R'):
                registers[reg] = registers[val]
            else:
                registers[reg] = int(val)
            ip += 1

        elif cmd == 'JMP':
            label = parts[1]
            if label not in labels:
                raise ValueError(f"Undefined label: {label}")
            ip = labels[label]

        elif cmd == 'EQ':
            reg1 = parts[1]
            reg2 = parts[2]
            # Determine if the second operand is a register or an immediate value
            if reg2.startswith('R'):
                val = registers[reg2]
            else:
                val = int(reg2)
            flag = (registers[reg1] == val)
            ip += 1

        elif cmd == 'GT':
            reg1 = parts[1]
            reg2 = parts[2]
            if reg2.startswith('R'):
                val = registers[reg2]
            else:
                val = int(reg2)
            flag = (registers[reg1] > val)
            ip += 1

        elif cmd == 'JT':
            label = parts[1]
            if flag:
                if label not in labels:
                    raise ValueError(f"Undefined label: {label}")
                ip = labels[label]
            else:
                ip += 1

        elif cmd == 'JF':
            label = parts[1]
            if not flag:
                if label not in labels:
                    raise ValueError(f"Undefined label: {label}")
                ip = labels[label]
            else:
                ip += 1

        elif cmd == 'STORE':
            reg_val = parts[1]
            reg_addr = parts[2]
            val = registers[reg_val]
            addr = registers[reg_addr]
            # Expand memory if necessary
            while addr >= len(memory):
                memory.append(0)
            memory[addr] = val
            ip += 1

        elif cmd == 'INC':
            reg = parts[1]
            registers[reg] += 1
            ip += 1

        elif cmd == 'MUL':
            reg_dest = parts[1]
            reg1 = parts[2]
            reg2 = parts[3]
            registers[reg_dest] = registers[reg1] * registers[reg2]
            ip += 1

        elif cmd == 'MOD':
            reg_dest = parts[1]
            reg1 = parts[2]
            reg2 = parts[3]
            divisor = registers[reg2]
            if divisor == 0:
                registers[reg_dest] = 0
            else:
                registers[reg_dest] = registers[reg1] % divisor
            ip += 1

        else:
            raise ValueError(f"Unknown instruction: {cmd}")

        # Handle program termination if 'end' label is reached
        if instr.endswith(':') and parts[0] == 'end':
            break

    # Extract the list of primes from memory up to R8
    primes = memory[:registers['R8']]
    return primes
### Explanation of Key Components 1. **Parsing Labels and Instructions**: - The program is split into lines, and each line is processed to identify labels and instructions. - Labels are mapped to their respective instruction indices for quick access during jumps. 2. **Register and Memory Management**: - Registers `R1` to `R8` are stored in a dictionary with initial values set to `0`. - Memory is simulated using a list, and the `STORE` instruction writes prime numbers to the memory location pointed to by `R8`. After each `STORE`, `R8` is incremented to point to the next memory location. 3. **Instruction Execution Loop**: - The interpreter uses an instruction pointer `ip` to keep track of the current instruction. - Each instruction is parsed and executed accordingly. For example: - `SET` assigns a value to a register. - `JMP` alters the instruction pointer to jump to a labeled instruction. - `EQ` and `GT` set a condition flag based on comparisons. - `JT` and `JF` perform conditional jumps based on the condition flag. - Arithmetic operations like `MUL` and `MOD` manipulate register values. 4. **Termination**: - The program terminates when it jumps to the `end` label, which effectively stops the execution loop. ### Example Usage Here's how you can use the `evaluate` function with your provided assembly program to compute the first 100 prime numbers:
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program = """
SET R1 2          // Starting number to check for prime

start_find_primes:

    JMP is_prime // Control will return after executing is_prime with R1 as input and R2 containing the result

ready_prime:
    SET R7 1
    EQ R2 R7        // Check if R2 is 1 (prime)
    JF increment  // If not prime, skip storing and increment the number

    // Store prime number in memory and increment count
    STORE R1 R8   // Store prime number at address pointed by R8
    INC R8        // Increment prime count

    // Check if 100 primes are found
    SET R7 100
    EQ R8 R7
    JF increment  // If not 100 primes found yet, continue finding

    JMP end        // If 100 primes found, end program

increment:
    INC R1         // Increment number to check for prime
    JMP start_find_primes // Check next number

is_prime:
    SET R2 1       // Assume number is prime initially
    SET R3 2       // Start divisor from 2

start_loop:        // Label to start the loop
    // Check if we have exceeded the square root of R1
    MUL R4 R3 R3   // R4 = R3 * R3
    GT R4 R1       // Set flag if R4 > R1
    JT is_prime_end        // If exceeded, end loop

    MOD R6 R1 R3   // R6 = R1 % R3
    SET R7 0
    EQ R7 R6     // Check if R6 is 0
    JT not_prime   // If yes, number is not prime

    INC R3         // Increment divisor
    JMP start_loop // Repeat loop

not_prime:
    SET R2 0       // Set result to 0 (not prime)

is_prime_end:
    JMP ready_prime

end:
"""

primes = evaluate(program)
print(primes)
This will output the first 100 prime numbers:
1
[2, 3, 5, 7, 11, 13, 17, 19, ... , 541]
### Notes - **Error Handling**: The interpreter includes basic error handling for undefined labels and unknown instructions. You can enhance it further based on your requirements. - **Extensibility**: This interpreter can be extended to support additional instructions or features as needed. - **Performance**: For educational and demonstration purposes, this interpreter is sufficient. However, for large-scale or performance-critical applications, optimizations would be necessary. I hope this helps you execute and test your custom assembly language programs effectively!

Extract Code

I extracted the following code from that output:

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def evaluate(program_str):
    # Initialize registers R1 to R8
    registers = {f'R{i}': 0 for i in range(1, 9)}
    # Initialize memory as a list
    memory = []
    # R8 is the memory pointer, starting at 0
    registers['R8'] = 0

    # Split the program into lines and parse labels
    lines = program_str.split('\n')
    instructions = []
    labels = {}
    for line in lines:
        # Remove comments and whitespace
        line = line.split('//')[0].strip()
        if not line:
            continue
        if line.endswith(':'):
            # It's a label; map it to the current instruction index
            label = line[:-1].strip()
            labels[label] = len(instructions)
        else:
            # It's an instruction; add to the instruction list
            instructions.append(line)

    # Initialize the condition flag
    flag = False

    # Instruction pointer
    ip = 0
    while ip < len(instructions):
        # Fetch the current instruction
        instr = instructions[ip]
        parts = instr.split()
        cmd = parts[0]

        if cmd == 'SET':
            reg = parts[1]
            val = parts[2]
            # Determine if the value is immediate or from another register
            if val.startswith('R'):
                registers[reg] = registers[val]
            else:
                registers[reg] = int(val)
            ip += 1

        elif cmd == 'JMP':
            label = parts[1]
            if label not in labels:
                raise ValueError(f"Undefined label: {label}")
            ip = labels[label]

        elif cmd == 'EQ':
            reg1 = parts[1]
            reg2 = parts[2]
            # Determine if the second operand is a register or an immediate value
            if reg2.startswith('R'):
                val = registers[reg2]
            else:
                val = int(reg2)
            flag = (registers[reg1] == val)
            ip += 1

        elif cmd == 'GT':
            reg1 = parts[1]
            reg2 = parts[2]
            if reg2.startswith('R'):
                val = registers[reg2]
            else:
                val = int(reg2)
            flag = (registers[reg1] > val)
            ip += 1

        elif cmd == 'JT':
            label = parts[1]
            if flag:
                if label not in labels:
                    raise ValueError(f"Undefined label: {label}")
                ip = labels[label]
            else:
                ip += 1

        elif cmd == 'JF':
            label = parts[1]
            if not flag:
                if label not in labels:
                    raise ValueError(f"Undefined label: {label}")
                ip = labels[label]
            else:
                ip += 1

        elif cmd == 'STORE':
            reg_val = parts[1]
            reg_addr = parts[2]
            val = registers[reg_val]
            addr = registers[reg_addr]
            # Expand memory if necessary
            while addr >= len(memory):
                memory.append(0)
            memory[addr] = val
            ip += 1

        elif cmd == 'INC':
            reg = parts[1]
            registers[reg] += 1
            ip += 1

        elif cmd == 'MUL':
            reg_dest = parts[1]
            reg1 = parts[2]
            reg2 = parts[3]
            registers[reg_dest] = registers[reg1] * registers[reg2]
            ip += 1

        elif cmd == 'MOD':
            reg_dest = parts[1]
            reg1 = parts[2]
            reg2 = parts[3]
            divisor = registers[reg2]
            if divisor == 0:
                registers[reg_dest] = 0
            else:
                registers[reg_dest] = registers[reg1] % divisor
            ip += 1

        else:
            raise ValueError(f"Unknown instruction: {cmd}")

        # Handle program termination if 'end' label is reached
        if instr.endswith(':') and parts[0] == 'end':
            break

    # Extract the list of primes from memory up to R8
    primes = memory[:registers['R8']]
    return primes

Run Code Interpreter

Running the following program:

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def evaluate(program_str):
    # Initialize registers R1 to R8
    registers = {f'R{i}': 0 for i in range(1, 9)}
    # Initialize memory as a list
    memory = []
    # R8 is the memory pointer, starting at 0
    registers['R8'] = 0

    # Split the program into lines and parse labels
    lines = program_str.split('\n')
    instructions = []
    labels = {}
    for line in lines:
        # Remove comments and whitespace
        line = line.split('//')[0].strip()
        if not line:
            continue
        if line.endswith(':'):
            # It's a label; map it to the current instruction index
            label = line[:-1].strip()
            labels[label] = len(instructions)
        else:
            # It's an instruction; add to the instruction list
            instructions.append(line)

    # Initialize the condition flag
    flag = False

    # Instruction pointer
    ip = 0
    while ip < len(instructions):
        # Fetch the current instruction
        instr = instructions[ip]
        parts = instr.split()
        cmd = parts[0]

        if cmd == 'SET':
            reg = parts[1]
            val = parts[2]
            # Determine if the value is immediate or from another register
            if val.startswith('R'):
                registers[reg] = registers[val]
            else:
                registers[reg] = int(val)
            ip += 1

        elif cmd == 'JMP':
            label = parts[1]
            if label not in labels:
                raise ValueError(f"Undefined label: {label}")
            ip = labels[label]

        elif cmd == 'EQ':
            reg1 = parts[1]
            reg2 = parts[2]
            # Determine if the second operand is a register or an immediate value
            if reg2.startswith('R'):
                val = registers[reg2]
            else:
                val = int(reg2)
            flag = (registers[reg1] == val)
            ip += 1

        elif cmd == 'GT':
            reg1 = parts[1]
            reg2 = parts[2]
            if reg2.startswith('R'):
                val = registers[reg2]
            else:
                val = int(reg2)
            flag = (registers[reg1] > val)
            ip += 1

        elif cmd == 'JT':
            label = parts[1]
            if flag:
                if label not in labels:
                    raise ValueError(f"Undefined label: {label}")
                ip = labels[label]
            else:
                ip += 1

        elif cmd == 'JF':
            label = parts[1]
            if not flag:
                if label not in labels:
                    raise ValueError(f"Undefined label: {label}")
                ip = labels[label]
            else:
                ip += 1

        elif cmd == 'STORE':
            reg_val = parts[1]
            reg_addr = parts[2]
            val = registers[reg_val]
            addr = registers[reg_addr]
            # Expand memory if necessary
            while addr >= len(memory):
                memory.append(0)
            memory[addr] = val
            ip += 1

        elif cmd == 'INC':
            reg = parts[1]
            registers[reg] += 1
            ip += 1

        elif cmd == 'MUL':
            reg_dest = parts[1]
            reg1 = parts[2]
            reg2 = parts[3]
            registers[reg_dest] = registers[reg1] * registers[reg2]
            ip += 1

        elif cmd == 'MOD':
            reg_dest = parts[1]
            reg1 = parts[2]
            reg2 = parts[3]
            divisor = registers[reg2]
            if divisor == 0:
                registers[reg_dest] = 0
            else:
                registers[reg_dest] = registers[reg1] % divisor
            ip += 1

        else:
            raise ValueError(f"Unknown instruction: {cmd}")

        # Handle program termination if 'end' label is reached
        if instr.endswith(':') and parts[0] == 'end':
            break

    # Extract the list of primes from memory up to R8
    primes = memory[:registers['R8']]
    return primes





answer = evaluate("""
    SET R1 0
    SET R2 1
loop:
    MUL R3 R2 R2
    STORE R3 R1
    INC R1
    INC R2
    SET R3 20
    EQ R1 R3
    JF loop
""")[:10]
expected = [1, 4, 9, 16, 25, 36, 49, 64, 81, 100]
assert answer == expected, f'Wrong answer; got {answer} instead of {expected}'

answer = evaluate("""

SET R1 2          // Starting number to check for prime

start_find_primes:

    JMP is_prime // Control will return after executing is_prime with R1 as input and R2 containing the result

ready_prime:
    SET R7 1
    EQ R2 R7        // Check if R2 is 1 (prime)
    JF increment  // If not prime, skip storing and increment the number

    // Store prime number in memory and increment count
    STORE R1 R8   // Store prime number at address pointed by R8
    INC R8        // Increment prime count

    // Check if 100 primes are found
    SET R7 100
    EQ R8 R7
    JF increment  // If not 100 primes found yet, continue finding

    JMP end        // If 100 primes found, end program

increment:
    INC R1         // Increment number to check for prime
    JMP start_find_primes // Check next number

is_prime:
    SET R2 1       // Assume number is prime initially
    SET R3 2       // Start divisor from 2

start_loop:        // Label to start the loop
    // Check if we have exceeded the square root of R1
    MUL R4 R3 R3   // R4 = R3 * R3
    GT R4 R1       // Set flag if R4 > R1
    JT is_prime_end        // If not exceeded, continue; else, end loop

    MOD R6 R1 R3   // R6 = R1 % R3
    SET R7 0
    EQ R7 R6     // Check if R6 is 0
    JT not_prime   // If yes, number is not prime

    INC R3         // Increment divisor
    JMP start_loop // Repeat loop

not_prime:
    SET R2 0       // Set result to 0 (not prime)

is_prime_end:
    JMP ready_prime

end:
""")[:10]
expected = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29]
assert answer == expected, f'Wrong answer; got {answer} instead of {expected}'
print('All tests passed')
And got the output: Traceback (most recent call last): File "/usr/src/app/main.py", line 155, in <module> assert answer == expected, f'Wrong answer; got {answer} instead of {expected}' AssertionError: Wrong answer; got [] instead of [1, 4, 9, 16, 25, 36, 49, 64, 81, 100]

Substring Evaluation

Testing if the previous output contains the string All tests passed: False