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) For example here is a program to compute the first 20 square numbers (1, 4, 9, 16, 25, ...): SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program Write me a python interpreter `evaluate(str)` that returns the resulting memory state after running the program. For example, `evaluate(program)` should return `[1, 4, 9, 16, 25, ...]` for the above program.
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) For example here is a program to compute the first 20 square numbers (1, 4, 9, 16, 25, ...): SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program Write me a python interpreter `evaluate(str)` that returns the resulting memory state after running the program. For example, `evaluate(program)` should return `[1, 4, 9, 16, 25, ...]` for the above program.
To implement a simple interpreter for the described assembly language, we will create a function `evaluate` that takes a string representation of the program, parses it, and executes the instructions while maintaining the state of registers, memory, and the instruction pointer. The final state of the memory will be returned. Here's a possible implementation:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 | def evaluate(program: str): # Initialize registers, memory, and instruction pointer registers = [0] * 8 # R1 to R8 memory = [0] * 100 # Memory addresses 0 to 99 instruction_pointer = 0 flag = False # Parse the program into lines and handle labels lines = program.splitlines() labels = {} # First pass to register labels for line_num, line in enumerate(lines): line = line.strip() if line.endswith(':'): label = line[:-1] labels[label] = line_num # Remove labels from the actual instructions instructions = [] for line in lines: line = line.strip() if line and not line.endswith(':'): instructions.append(line) # Helper functions def get_register_value(reg): return registers[int(reg[1]) - 1] def set_register_value(reg, value): registers[int(reg[1]) - 1] = value # Execute the instructions while instruction_pointer < len(instructions): # Parse the current instruction instruction = instructions[instruction_pointer].split() op = instruction[0] if op == "SET": reg = instruction[1] value = int(instruction[2]) set_register_value(reg, value) instruction_pointer += 1 elif op in {"ADD", "SUB", "MUL", "DIV", "MOD"}: reg_dest = instruction[1] reg1 = instruction[2] reg2 = instruction[3] if op == "ADD": result = get_register_value(reg1) + get_register_value(reg2) elif op == "SUB": result = get_register_value(reg1) - get_register_value(reg2) elif op == "MUL": result = get_register_value(reg1) * get_register_value(reg2) elif op == "DIV": result = get_register_value(reg1) // get_register_value(reg2) # Integer division elif op == "MOD": result = get_register_value(reg1) % get_register_value(reg2) set_register_value(reg_dest, result) instruction_pointer += 1 elif op in {"EQ", "NEQ", "LT", "LTE", "GT", "GTE"}: reg1 = instruction[1] reg2 = instruction[2] if op == "EQ": flag = get_register_value(reg1) == get_register_value(reg2) elif op == "NEQ": flag = get_register_value(reg1) != get_register_value(reg2) elif op == "LT": flag = get_register_value(reg1) < get_register_value(reg2) elif op == "LTE": flag = get_register_value(reg1) <= get_register_value(reg2) elif op == "GT": flag = get_register_value(reg1) > get_register_value(reg2) elif op == "GTE": flag = get_register_value(reg1) >= get_register_value(reg2) instruction_pointer += 1 elif op in {"INC", "DEC"}: reg = instruction[1] if op == "INC": set_register_value(reg, get_register_value(reg) + 1) elif op == "DEC": set_register_value(reg, get_register_value(reg) - 1) instruction_pointer += 1 elif op == "JMP": label = instruction[1] instruction_pointer = labels[label] elif op == "JT": label = instruction[1] if flag: instruction_pointer = labels[label] else: instruction_pointer += 1 elif op == "JF": label = instruction[1] if not flag: instruction_pointer = labels[label] else: instruction_pointer += 1 elif op == "LOAD": reg = instruction[1] addr = int(instruction[2]) set_register_value(reg, memory[addr]) instruction_pointer += 1 elif op == "STORE": reg = instruction[1] addr = int(instruction[2]) memory[addr] = get_register_value(reg) instruction_pointer += 1 elif op == "HCF": break # Move to the next instruction instruction_pointer += 1 return memory[:20] # Return the first 20 squares # Example usage program = """ SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program """ result = evaluate(program) print(result) # Output: [1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400] |
I extracted the following code from that output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 | def evaluate(program: str): # Initialize registers, memory, and instruction pointer registers = [0] * 8 # R1 to R8 memory = [0] * 100 # Memory addresses 0 to 99 instruction_pointer = 0 flag = False # Parse the program into lines and handle labels lines = program.splitlines() labels = {} # First pass to register labels for line_num, line in enumerate(lines): line = line.strip() if line.endswith(':'): label = line[:-1] labels[label] = line_num # Remove labels from the actual instructions instructions = [] for line in lines: line = line.strip() if line and not line.endswith(':'): instructions.append(line) # Helper functions def get_register_value(reg): return registers[int(reg[1]) - 1] def set_register_value(reg, value): registers[int(reg[1]) - 1] = value # Execute the instructions while instruction_pointer < len(instructions): # Parse the current instruction instruction = instructions[instruction_pointer].split() op = instruction[0] if op == "SET": reg = instruction[1] value = int(instruction[2]) set_register_value(reg, value) instruction_pointer += 1 elif op in {"ADD", "SUB", "MUL", "DIV", "MOD"}: reg_dest = instruction[1] reg1 = instruction[2] reg2 = instruction[3] if op == "ADD": result = get_register_value(reg1) + get_register_value(reg2) elif op == "SUB": result = get_register_value(reg1) - get_register_value(reg2) elif op == "MUL": result = get_register_value(reg1) * get_register_value(reg2) elif op == "DIV": result = get_register_value(reg1) // get_register_value(reg2) # Integer division elif op == "MOD": result = get_register_value(reg1) % get_register_value(reg2) set_register_value(reg_dest, result) instruction_pointer += 1 elif op in {"EQ", "NEQ", "LT", "LTE", "GT", "GTE"}: reg1 = instruction[1] reg2 = instruction[2] if op == "EQ": flag = get_register_value(reg1) == get_register_value(reg2) elif op == "NEQ": flag = get_register_value(reg1) != get_register_value(reg2) elif op == "LT": flag = get_register_value(reg1) < get_register_value(reg2) elif op == "LTE": flag = get_register_value(reg1) <= get_register_value(reg2) elif op == "GT": flag = get_register_value(reg1) > get_register_value(reg2) elif op == "GTE": flag = get_register_value(reg1) >= get_register_value(reg2) instruction_pointer += 1 elif op in {"INC", "DEC"}: reg = instruction[1] if op == "INC": set_register_value(reg, get_register_value(reg) + 1) elif op == "DEC": set_register_value(reg, get_register_value(reg) - 1) instruction_pointer += 1 elif op == "JMP": label = instruction[1] instruction_pointer = labels[label] elif op == "JT": label = instruction[1] if flag: instruction_pointer = labels[label] else: instruction_pointer += 1 elif op == "JF": label = instruction[1] if not flag: instruction_pointer = labels[label] else: instruction_pointer += 1 elif op == "LOAD": reg = instruction[1] addr = int(instruction[2]) set_register_value(reg, memory[addr]) instruction_pointer += 1 elif op == "STORE": reg = instruction[1] addr = int(instruction[2]) memory[addr] = get_register_value(reg) instruction_pointer += 1 elif op == "HCF": break # Move to the next instruction instruction_pointer += 1 return memory[:20] # Return the first 20 squares # Example usage program = """ SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program """ result = evaluate(program) print(result) # Output: [1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400] |
Running the following program:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 | def evaluate(program: str): # Initialize registers, memory, and instruction pointer registers = [0] * 8 # R1 to R8 memory = [0] * 100 # Memory addresses 0 to 99 instruction_pointer = 0 flag = False # Parse the program into lines and handle labels lines = program.splitlines() labels = {} # First pass to register labels for line_num, line in enumerate(lines): line = line.strip() if line.endswith(':'): label = line[:-1] labels[label] = line_num # Remove labels from the actual instructions instructions = [] for line in lines: line = line.strip() if line and not line.endswith(':'): instructions.append(line) # Helper functions def get_register_value(reg): return registers[int(reg[1]) - 1] def set_register_value(reg, value): registers[int(reg[1]) - 1] = value # Execute the instructions while instruction_pointer < len(instructions): # Parse the current instruction instruction = instructions[instruction_pointer].split() op = instruction[0] if op == "SET": reg = instruction[1] value = int(instruction[2]) set_register_value(reg, value) instruction_pointer += 1 elif op in {"ADD", "SUB", "MUL", "DIV", "MOD"}: reg_dest = instruction[1] reg1 = instruction[2] reg2 = instruction[3] if op == "ADD": result = get_register_value(reg1) + get_register_value(reg2) elif op == "SUB": result = get_register_value(reg1) - get_register_value(reg2) elif op == "MUL": result = get_register_value(reg1) * get_register_value(reg2) elif op == "DIV": result = get_register_value(reg1) // get_register_value(reg2) # Integer division elif op == "MOD": result = get_register_value(reg1) % get_register_value(reg2) set_register_value(reg_dest, result) instruction_pointer += 1 elif op in {"EQ", "NEQ", "LT", "LTE", "GT", "GTE"}: reg1 = instruction[1] reg2 = instruction[2] if op == "EQ": flag = get_register_value(reg1) == get_register_value(reg2) elif op == "NEQ": flag = get_register_value(reg1) != get_register_value(reg2) elif op == "LT": flag = get_register_value(reg1) < get_register_value(reg2) elif op == "LTE": flag = get_register_value(reg1) <= get_register_value(reg2) elif op == "GT": flag = get_register_value(reg1) > get_register_value(reg2) elif op == "GTE": flag = get_register_value(reg1) >= get_register_value(reg2) instruction_pointer += 1 elif op in {"INC", "DEC"}: reg = instruction[1] if op == "INC": set_register_value(reg, get_register_value(reg) + 1) elif op == "DEC": set_register_value(reg, get_register_value(reg) - 1) instruction_pointer += 1 elif op == "JMP": label = instruction[1] instruction_pointer = labels[label] elif op == "JT": label = instruction[1] if flag: instruction_pointer = labels[label] else: instruction_pointer += 1 elif op == "JF": label = instruction[1] if not flag: instruction_pointer = labels[label] else: instruction_pointer += 1 elif op == "LOAD": reg = instruction[1] addr = int(instruction[2]) set_register_value(reg, memory[addr]) instruction_pointer += 1 elif op == "STORE": reg = instruction[1] addr = int(instruction[2]) memory[addr] = get_register_value(reg) instruction_pointer += 1 elif op == "HCF": break # Move to the next instruction instruction_pointer += 1 return memory[:20] # Return the first 20 squares # Example usage program = """ SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program """ result = evaluate(program) print(result) # Output: [1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400] 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') |
Timeout: function took too long to complete
Testing if the previous output contains the string All tests passed
: False
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) For example here is a program to compute the first 20 square numbers (1, 4, 9, 16, 25, ...): SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program Write me a python interpreter `evaluate(str)` that returns the resulting memory state after running the program. For example, `evaluate(program)` should return `[1, 4, 9, 16, 25, ...]` for the above program.
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) For example here is a program to compute the first 20 square numbers (1, 4, 9, 16, 25, ...): SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program Write me a python interpreter `evaluate(str)` that returns the resulting memory state after running the program. For example, `evaluate(program)` should return `[1, 4, 9, 16, 25, ...]` for the above program.
To create a Python interpreter for the assembly language described, we need to simulate the execution of the instructions, manage registers, memory, and implement the control flow. Below is the implementation of the `evaluate` function that takes a string representation of the program and returns the resulting memory state after running the program.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 | def evaluate(program): # Initialize memory, registers, and other components memory = [0] * 100 registers = [0] * 8 # R1 to R8 flag = False instruction_pointer = 0 # Split the program into lines and remove comments instructions = [] for line in program.splitlines(): line = line.split('//')[0].strip() # Remove comments if line: instructions.append(line) # Function to map register names to their indices def reg_index(reg): return int(reg[1]) - 1 # R1 -> 0, R2 -> 1, ..., R8 -> 7 while instruction_pointer < len(instructions): instruction = instructions[instruction_pointer].strip() parts = instruction.split() op = parts[0] # Operation if op == 'SET': reg = reg_index(parts[1]) const = int(parts[2]) registers[reg] = const instruction_pointer += 1 elif op in {'ADD', 'SUB', 'MUL', 'DIV', 'MOD'}: reg_x = reg_index(parts[1]) reg_y = reg_index(parts[2]) reg_z = reg_index(parts[3]) if op == 'ADD': registers[reg_x] = registers[reg_y] + registers[reg_z] elif op == 'SUB': registers[reg_x] = registers[reg_y] - registers[reg_z] elif op == 'MUL': registers[reg_x] = registers[reg_y] * registers[reg_z] elif op == 'DIV': registers[reg_x] = registers[reg_y] // registers[reg_z] # Integer division elif op == 'MOD': registers[reg_x] = registers[reg_y] % registers[reg_z] instruction_pointer += 1 elif op in {'EQ', 'NEQ', 'LT', 'LTE', 'GT', 'GTE'}: reg_x = reg_index(parts[1]) reg_y = reg_index(parts[2]) if op == 'EQ': flag = registers[reg_x] == registers[reg_y] elif op == 'NEQ': flag = registers[reg_x] != registers[reg_y] elif op == 'LT': flag = registers[reg_x] < registers[reg_y] elif op == 'LTE': flag = registers[reg_x] <= registers[reg_y] elif op == 'GT': flag = registers[reg_x] > registers[reg_y] elif op == 'GTE': flag = registers[reg_x] >= registers[reg_y] instruction_pointer += 1 elif op in {'INC', 'DEC'}: reg = reg_index(parts[1]) if op == 'INC': registers[reg] += 1 elif op == 'DEC': registers[reg] -= 1 instruction_pointer += 1 elif op == 'JMP': label = parts[1] # Find label index instruction_pointer = next(i for i, instr in enumerate(instructions) if instr.startswith(label + ':')) elif op in {'JT', 'JF'}: label = parts[1] if (op == 'JT' and flag) or (op == 'JF' and not flag): instruction_pointer = next(i for i, instr in enumerate(instructions) if instr.startswith(label + ':')) else: instruction_pointer += 1 elif op == 'LOAD': reg = reg_index(parts[1]) mem_address = int(parts[2]) registers[reg] = memory[mem_address] instruction_pointer += 1 elif op == 'STORE': reg = reg_index(parts[1]) mem_address = int(parts[2]) memory[mem_address] = registers[reg] instruction_pointer += 1 elif op == 'HCF': break # Stop the program return memory # Example usage program = """ SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program """ result = evaluate(program) print(result[:20]) # Print only the first 20 results |
I extracted the following code from that output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 | def evaluate(program): # Initialize memory, registers, and other components memory = [0] * 100 registers = [0] * 8 # R1 to R8 flag = False instruction_pointer = 0 # Split the program into lines and remove comments instructions = [] for line in program.splitlines(): line = line.split('//')[0].strip() # Remove comments if line: instructions.append(line) # Function to map register names to their indices def reg_index(reg): return int(reg[1]) - 1 # R1 -> 0, R2 -> 1, ..., R8 -> 7 while instruction_pointer < len(instructions): instruction = instructions[instruction_pointer].strip() parts = instruction.split() op = parts[0] # Operation if op == 'SET': reg = reg_index(parts[1]) const = int(parts[2]) registers[reg] = const instruction_pointer += 1 elif op in {'ADD', 'SUB', 'MUL', 'DIV', 'MOD'}: reg_x = reg_index(parts[1]) reg_y = reg_index(parts[2]) reg_z = reg_index(parts[3]) if op == 'ADD': registers[reg_x] = registers[reg_y] + registers[reg_z] elif op == 'SUB': registers[reg_x] = registers[reg_y] - registers[reg_z] elif op == 'MUL': registers[reg_x] = registers[reg_y] * registers[reg_z] elif op == 'DIV': registers[reg_x] = registers[reg_y] // registers[reg_z] # Integer division elif op == 'MOD': registers[reg_x] = registers[reg_y] % registers[reg_z] instruction_pointer += 1 elif op in {'EQ', 'NEQ', 'LT', 'LTE', 'GT', 'GTE'}: reg_x = reg_index(parts[1]) reg_y = reg_index(parts[2]) if op == 'EQ': flag = registers[reg_x] == registers[reg_y] elif op == 'NEQ': flag = registers[reg_x] != registers[reg_y] elif op == 'LT': flag = registers[reg_x] < registers[reg_y] elif op == 'LTE': flag = registers[reg_x] <= registers[reg_y] elif op == 'GT': flag = registers[reg_x] > registers[reg_y] elif op == 'GTE': flag = registers[reg_x] >= registers[reg_y] instruction_pointer += 1 elif op in {'INC', 'DEC'}: reg = reg_index(parts[1]) if op == 'INC': registers[reg] += 1 elif op == 'DEC': registers[reg] -= 1 instruction_pointer += 1 elif op == 'JMP': label = parts[1] # Find label index instruction_pointer = next(i for i, instr in enumerate(instructions) if instr.startswith(label + ':')) elif op in {'JT', 'JF'}: label = parts[1] if (op == 'JT' and flag) or (op == 'JF' and not flag): instruction_pointer = next(i for i, instr in enumerate(instructions) if instr.startswith(label + ':')) else: instruction_pointer += 1 elif op == 'LOAD': reg = reg_index(parts[1]) mem_address = int(parts[2]) registers[reg] = memory[mem_address] instruction_pointer += 1 elif op == 'STORE': reg = reg_index(parts[1]) mem_address = int(parts[2]) memory[mem_address] = registers[reg] instruction_pointer += 1 elif op == 'HCF': break # Stop the program return memory # Example usage program = """ SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program """ result = evaluate(program) print(result[:20]) # Print only the first 20 results |
Running the following program:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 | def evaluate(program): # Initialize memory, registers, and other components memory = [0] * 100 registers = [0] * 8 # R1 to R8 flag = False instruction_pointer = 0 # Split the program into lines and remove comments instructions = [] for line in program.splitlines(): line = line.split('//')[0].strip() # Remove comments if line: instructions.append(line) # Function to map register names to their indices def reg_index(reg): return int(reg[1]) - 1 # R1 -> 0, R2 -> 1, ..., R8 -> 7 while instruction_pointer < len(instructions): instruction = instructions[instruction_pointer].strip() parts = instruction.split() op = parts[0] # Operation if op == 'SET': reg = reg_index(parts[1]) const = int(parts[2]) registers[reg] = const instruction_pointer += 1 elif op in {'ADD', 'SUB', 'MUL', 'DIV', 'MOD'}: reg_x = reg_index(parts[1]) reg_y = reg_index(parts[2]) reg_z = reg_index(parts[3]) if op == 'ADD': registers[reg_x] = registers[reg_y] + registers[reg_z] elif op == 'SUB': registers[reg_x] = registers[reg_y] - registers[reg_z] elif op == 'MUL': registers[reg_x] = registers[reg_y] * registers[reg_z] elif op == 'DIV': registers[reg_x] = registers[reg_y] // registers[reg_z] # Integer division elif op == 'MOD': registers[reg_x] = registers[reg_y] % registers[reg_z] instruction_pointer += 1 elif op in {'EQ', 'NEQ', 'LT', 'LTE', 'GT', 'GTE'}: reg_x = reg_index(parts[1]) reg_y = reg_index(parts[2]) if op == 'EQ': flag = registers[reg_x] == registers[reg_y] elif op == 'NEQ': flag = registers[reg_x] != registers[reg_y] elif op == 'LT': flag = registers[reg_x] < registers[reg_y] elif op == 'LTE': flag = registers[reg_x] <= registers[reg_y] elif op == 'GT': flag = registers[reg_x] > registers[reg_y] elif op == 'GTE': flag = registers[reg_x] >= registers[reg_y] instruction_pointer += 1 elif op in {'INC', 'DEC'}: reg = reg_index(parts[1]) if op == 'INC': registers[reg] += 1 elif op == 'DEC': registers[reg] -= 1 instruction_pointer += 1 elif op == 'JMP': label = parts[1] # Find label index instruction_pointer = next(i for i, instr in enumerate(instructions) if instr.startswith(label + ':')) elif op in {'JT', 'JF'}: label = parts[1] if (op == 'JT' and flag) or (op == 'JF' and not flag): instruction_pointer = next(i for i, instr in enumerate(instructions) if instr.startswith(label + ':')) else: instruction_pointer += 1 elif op == 'LOAD': reg = reg_index(parts[1]) mem_address = int(parts[2]) registers[reg] = memory[mem_address] instruction_pointer += 1 elif op == 'STORE': reg = reg_index(parts[1]) mem_address = int(parts[2]) memory[mem_address] = registers[reg] instruction_pointer += 1 elif op == 'HCF': break # Stop the program return memory # Example usage program = """ SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program """ result = evaluate(program) print(result[:20]) # Print only the first 20 results 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') |
Timeout: function took too long to complete
Testing if the previous output contains the string All tests passed
: False
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) For example here is a program to compute the first 20 square numbers (1, 4, 9, 16, 25, ...): SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program Write me a python interpreter `evaluate(str)` that returns the resulting memory state after running the program. For example, `evaluate(program)` should return `[1, 4, 9, 16, 25, ...]` for the above program.
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) For example here is a program to compute the first 20 square numbers (1, 4, 9, 16, 25, ...): SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program Write me a python interpreter `evaluate(str)` that returns the resulting memory state after running the program. For example, `evaluate(program)` should return `[1, 4, 9, 16, 25, ...]` for the above program.
Sure! Below is a Python interpreter that can evaluate the described assembly language. The `evaluate` function takes a string representation of the program, executes it, and returns the resulting memory state.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 | def evaluate(program): # Initialize registers, memory, and flags registers = [0] * 8 # R1 to R8 memory = [0] * 100 # 100 memory addresses flag = False # Boolean flag ip = 0 # Instruction pointer instructions = program.splitlines() labels = {} # First pass to collect labels for index, inst in enumerate(instructions): if ':' in inst: label = inst.split(':')[0].strip() labels[label] = index # Second pass to execute instructions while ip < len(instructions): inst = instructions[ip].strip() if ':' in inst: ip += 1 continue # Skip labels parts = inst.split() op = parts[0] if op == 'SET': Rx = int(parts[1][1]) - 1 # R1 -> 0, R2 -> 1, ... C = int(parts[2]) registers[Rx] = C elif op in ('ADD', 'SUB', 'MUL', 'DIV', 'MOD'): Rx = int(parts[1][1]) - 1 Ry = int(parts[2][1]) - 1 Rz = int(parts[3][1]) - 1 if op == 'ADD': registers[Rx] = registers[Ry] + registers[Rz] elif op == 'SUB': registers[Rx] = registers[Ry] - registers[Rz] elif op == 'MUL': registers[Rx] = registers[Ry] * registers[Rz] elif op == 'DIV': registers[Rx] = registers[Ry] // registers[Rz] # Integer division elif op == 'MOD': registers[Rx] = registers[Ry] % registers[Rz] elif op in ('EQ', 'NEQ', 'LT', 'LTE', 'GT', 'GTE'): Rx = int(parts[1][1]) - 1 Ry = int(parts[2][1]) - 1 if op == 'EQ': flag = registers[Rx] == registers[Ry] elif op == 'NEQ': flag = registers[Rx] != registers[Ry] elif op == 'LT': flag = registers[Rx] < registers[Ry] elif op == 'LTE': flag = registers[Rx] <= registers[Ry] elif op == 'GT': flag = registers[Rx] > registers[Ry] elif op == 'GTE': flag = registers[Rx] >= registers[Ry] elif op in ('INC', 'DEC'): Rx = int(parts[1][1]) - 1 if op == 'INC': registers[Rx] += 1 elif op == 'DEC': registers[Rx] -= 1 elif op == 'JMP': L = parts[1] ip = labels[L] continue elif op in ('JT', 'JF'): L = parts[1] if (op == 'JT' and flag) or (op == 'JF' and not flag): ip = labels[L] continue elif op == 'LOAD': Rx = int(parts[1][1]) - 1 M = int(parts[2]) registers[Rx] = memory[M] elif op == 'STORE': Rx = int(parts[1][1]) - 1 M = int(parts[2]) memory[M] = registers[Rx] elif op == 'HCF': break ip += 1 # Move to the next instruction return memory[:ip] # Return the memory state # Example usage program = """ SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program """ # Call the evaluate function and print the result result = evaluate(program) print(result) # Expected output: [1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400] |
I extracted the following code from that output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 | def evaluate(program): # Initialize registers, memory, and flags registers = [0] * 8 # R1 to R8 memory = [0] * 100 # 100 memory addresses flag = False # Boolean flag ip = 0 # Instruction pointer instructions = program.splitlines() labels = {} # First pass to collect labels for index, inst in enumerate(instructions): if ':' in inst: label = inst.split(':')[0].strip() labels[label] = index # Second pass to execute instructions while ip < len(instructions): inst = instructions[ip].strip() if ':' in inst: ip += 1 continue # Skip labels parts = inst.split() op = parts[0] if op == 'SET': Rx = int(parts[1][1]) - 1 # R1 -> 0, R2 -> 1, ... C = int(parts[2]) registers[Rx] = C elif op in ('ADD', 'SUB', 'MUL', 'DIV', 'MOD'): Rx = int(parts[1][1]) - 1 Ry = int(parts[2][1]) - 1 Rz = int(parts[3][1]) - 1 if op == 'ADD': registers[Rx] = registers[Ry] + registers[Rz] elif op == 'SUB': registers[Rx] = registers[Ry] - registers[Rz] elif op == 'MUL': registers[Rx] = registers[Ry] * registers[Rz] elif op == 'DIV': registers[Rx] = registers[Ry] // registers[Rz] # Integer division elif op == 'MOD': registers[Rx] = registers[Ry] % registers[Rz] elif op in ('EQ', 'NEQ', 'LT', 'LTE', 'GT', 'GTE'): Rx = int(parts[1][1]) - 1 Ry = int(parts[2][1]) - 1 if op == 'EQ': flag = registers[Rx] == registers[Ry] elif op == 'NEQ': flag = registers[Rx] != registers[Ry] elif op == 'LT': flag = registers[Rx] < registers[Ry] elif op == 'LTE': flag = registers[Rx] <= registers[Ry] elif op == 'GT': flag = registers[Rx] > registers[Ry] elif op == 'GTE': flag = registers[Rx] >= registers[Ry] elif op in ('INC', 'DEC'): Rx = int(parts[1][1]) - 1 if op == 'INC': registers[Rx] += 1 elif op == 'DEC': registers[Rx] -= 1 elif op == 'JMP': L = parts[1] ip = labels[L] continue elif op in ('JT', 'JF'): L = parts[1] if (op == 'JT' and flag) or (op == 'JF' and not flag): ip = labels[L] continue elif op == 'LOAD': Rx = int(parts[1][1]) - 1 M = int(parts[2]) registers[Rx] = memory[M] elif op == 'STORE': Rx = int(parts[1][1]) - 1 M = int(parts[2]) memory[M] = registers[Rx] elif op == 'HCF': break ip += 1 # Move to the next instruction return memory[:ip] # Return the memory state # Example usage program = """ SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program """ # Call the evaluate function and print the result result = evaluate(program) print(result) # Expected output: [1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400] |
Running the following program:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 | def evaluate(program): # Initialize registers, memory, and flags registers = [0] * 8 # R1 to R8 memory = [0] * 100 # 100 memory addresses flag = False # Boolean flag ip = 0 # Instruction pointer instructions = program.splitlines() labels = {} # First pass to collect labels for index, inst in enumerate(instructions): if ':' in inst: label = inst.split(':')[0].strip() labels[label] = index # Second pass to execute instructions while ip < len(instructions): inst = instructions[ip].strip() if ':' in inst: ip += 1 continue # Skip labels parts = inst.split() op = parts[0] if op == 'SET': Rx = int(parts[1][1]) - 1 # R1 -> 0, R2 -> 1, ... C = int(parts[2]) registers[Rx] = C elif op in ('ADD', 'SUB', 'MUL', 'DIV', 'MOD'): Rx = int(parts[1][1]) - 1 Ry = int(parts[2][1]) - 1 Rz = int(parts[3][1]) - 1 if op == 'ADD': registers[Rx] = registers[Ry] + registers[Rz] elif op == 'SUB': registers[Rx] = registers[Ry] - registers[Rz] elif op == 'MUL': registers[Rx] = registers[Ry] * registers[Rz] elif op == 'DIV': registers[Rx] = registers[Ry] // registers[Rz] # Integer division elif op == 'MOD': registers[Rx] = registers[Ry] % registers[Rz] elif op in ('EQ', 'NEQ', 'LT', 'LTE', 'GT', 'GTE'): Rx = int(parts[1][1]) - 1 Ry = int(parts[2][1]) - 1 if op == 'EQ': flag = registers[Rx] == registers[Ry] elif op == 'NEQ': flag = registers[Rx] != registers[Ry] elif op == 'LT': flag = registers[Rx] < registers[Ry] elif op == 'LTE': flag = registers[Rx] <= registers[Ry] elif op == 'GT': flag = registers[Rx] > registers[Ry] elif op == 'GTE': flag = registers[Rx] >= registers[Ry] elif op in ('INC', 'DEC'): Rx = int(parts[1][1]) - 1 if op == 'INC': registers[Rx] += 1 elif op == 'DEC': registers[Rx] -= 1 elif op == 'JMP': L = parts[1] ip = labels[L] continue elif op in ('JT', 'JF'): L = parts[1] if (op == 'JT' and flag) or (op == 'JF' and not flag): ip = labels[L] continue elif op == 'LOAD': Rx = int(parts[1][1]) - 1 M = int(parts[2]) registers[Rx] = memory[M] elif op == 'STORE': Rx = int(parts[1][1]) - 1 M = int(parts[2]) memory[M] = registers[Rx] elif op == 'HCF': break ip += 1 # Move to the next instruction return memory[:ip] # Return the memory state # Example usage program = """ SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program """ # Call the evaluate function and print the result result = evaluate(program) print(result) # Expected output: [1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400] 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') |
Traceback (most recent call last):
File "/usr/src/app/main.py", line 117, in <module>
result = evaluate(program)
File "/usr/src/app/main.py", line 25, in evaluate
op = parts[0]
IndexError: list index out of range
Testing if the previous output contains the string All tests passed
: False
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) For example here is a program to compute the first 20 square numbers (1, 4, 9, 16, 25, ...): SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program Write me a python interpreter `evaluate(str)` that returns the resulting memory state after running the program. For example, `evaluate(program)` should return `[1, 4, 9, 16, 25, ...]` for the above program.
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) For example here is a program to compute the first 20 square numbers (1, 4, 9, 16, 25, ...): SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program Write me a python interpreter `evaluate(str)` that returns the resulting memory state after running the program. For example, `evaluate(program)` should return `[1, 4, 9, 16, 25, ...]` for the above program.
To create an interpreter for the provided assembly language, we need to implement a function `evaluate` that processes the instructions according to the specified rules. The interpreter will maintain the state of registers, memory, and the instruction pointer, and will execute the instructions step by step. Below is the implementation of the `evaluate` function in Python:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 | def evaluate(program): # Initialize registers, memory, and instruction pointer registers = [0] * 8 # R1 to R8 memory = [0] * 100 # Memory addresses 0 to 99 instruction_pointer = 0 flag = False # Split the program into lines and handle labels lines = program.strip().splitlines() labels = {} # First pass: identify labels and their line numbers for line_number, line in enumerate(lines): if ':' in line: label, _ = line.split(':', 1) labels[label.strip()] = line_number # Second pass: execute instructions while instruction_pointer < len(lines): line = lines[instruction_pointer].strip() if line.endswith(':'): instruction_pointer += 1 continue parts = line.split() command = parts[0] if command == 'SET': _, reg, value = parts reg_index = int(reg[1]) - 1 registers[reg_index] = int(value) elif command in ('ADD', 'SUB', 'MUL', 'DIV', 'MOD'): _, reg_x, reg_y, reg_z = parts reg_x_index = int(reg_x[1]) - 1 reg_y_index = int(reg_y[1]) - 1 reg_z_index = int(reg_z[1]) - 1 if command == 'ADD': registers[reg_x_index] = registers[reg_y_index] + registers[reg_z_index] elif command == 'SUB': registers[reg_x_index] = registers[reg_y_index] - registers[reg_z_index] elif command == 'MUL': registers[reg_x_index] = registers[reg_y_index] * registers[reg_z_index] elif command == 'DIV': registers[reg_x_index] = registers[reg_y_index] // registers[reg_z_index] elif command == 'MOD': registers[reg_x_index] = registers[reg_y_index] % registers[reg_z_index] elif command in ('EQ', 'NEQ', 'LT', 'LTE', 'GT', 'GTE'): _, reg_x, reg_y = parts reg_x_index = int(reg_x[1]) - 1 reg_y_index = int(reg_y[1]) - 1 if command == 'EQ': flag = (registers[reg_x_index] == registers[reg_y_index]) elif command == 'NEQ': flag = (registers[reg_x_index] != registers[reg_y_index]) elif command == 'LT': flag = (registers[reg_x_index] < registers[reg_y_index]) elif command == 'LTE': flag = (registers[reg_x_index] <= registers[reg_y_index]) elif command == 'GT': flag = (registers[reg_x_index] > registers[reg_y_index]) elif command == 'GTE': flag = (registers[reg_x_index] >= registers[reg_y_index]) elif command in ('INC', 'DEC'): _, reg = parts reg_index = int(reg[1]) - 1 if command == 'INC': registers[reg_index] += 1 elif command == 'DEC': registers[reg_index] -= 1 elif command == 'JMP': _, label = parts instruction_pointer = labels[label] # Jump to the label elif command == 'JT': _, label = parts if flag: instruction_pointer = labels[label] elif command == 'JF': _, label = parts if not flag: instruction_pointer = labels[label] elif command == 'LOAD': _, reg, mem_addr = parts reg_index = int(reg[1]) - 1 memory_address = int(mem_addr) registers[reg_index] = memory[memory_address] elif command == 'STORE': _, reg, mem_addr = parts reg_index = int(reg[1]) - 1 memory_address = int(mem_addr) memory[memory_address] = registers[reg_index] elif command == 'HCF': break # Move to the next instruction instruction_pointer += 1 return memory[:20] # Return the first 20 memory addresses # Example usage: program = """ SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program """ print(evaluate(program)) # Output should be [1, 4, 9, 16, 25, ...] |
I extracted the following code from that output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 | def evaluate(program): # Initialize registers, memory, and instruction pointer registers = [0] * 8 # R1 to R8 memory = [0] * 100 # Memory addresses 0 to 99 instruction_pointer = 0 flag = False # Split the program into lines and handle labels lines = program.strip().splitlines() labels = {} # First pass: identify labels and their line numbers for line_number, line in enumerate(lines): if ':' in line: label, _ = line.split(':', 1) labels[label.strip()] = line_number # Second pass: execute instructions while instruction_pointer < len(lines): line = lines[instruction_pointer].strip() if line.endswith(':'): instruction_pointer += 1 continue parts = line.split() command = parts[0] if command == 'SET': _, reg, value = parts reg_index = int(reg[1]) - 1 registers[reg_index] = int(value) elif command in ('ADD', 'SUB', 'MUL', 'DIV', 'MOD'): _, reg_x, reg_y, reg_z = parts reg_x_index = int(reg_x[1]) - 1 reg_y_index = int(reg_y[1]) - 1 reg_z_index = int(reg_z[1]) - 1 if command == 'ADD': registers[reg_x_index] = registers[reg_y_index] + registers[reg_z_index] elif command == 'SUB': registers[reg_x_index] = registers[reg_y_index] - registers[reg_z_index] elif command == 'MUL': registers[reg_x_index] = registers[reg_y_index] * registers[reg_z_index] elif command == 'DIV': registers[reg_x_index] = registers[reg_y_index] // registers[reg_z_index] elif command == 'MOD': registers[reg_x_index] = registers[reg_y_index] % registers[reg_z_index] elif command in ('EQ', 'NEQ', 'LT', 'LTE', 'GT', 'GTE'): _, reg_x, reg_y = parts reg_x_index = int(reg_x[1]) - 1 reg_y_index = int(reg_y[1]) - 1 if command == 'EQ': flag = (registers[reg_x_index] == registers[reg_y_index]) elif command == 'NEQ': flag = (registers[reg_x_index] != registers[reg_y_index]) elif command == 'LT': flag = (registers[reg_x_index] < registers[reg_y_index]) elif command == 'LTE': flag = (registers[reg_x_index] <= registers[reg_y_index]) elif command == 'GT': flag = (registers[reg_x_index] > registers[reg_y_index]) elif command == 'GTE': flag = (registers[reg_x_index] >= registers[reg_y_index]) elif command in ('INC', 'DEC'): _, reg = parts reg_index = int(reg[1]) - 1 if command == 'INC': registers[reg_index] += 1 elif command == 'DEC': registers[reg_index] -= 1 elif command == 'JMP': _, label = parts instruction_pointer = labels[label] # Jump to the label elif command == 'JT': _, label = parts if flag: instruction_pointer = labels[label] elif command == 'JF': _, label = parts if not flag: instruction_pointer = labels[label] elif command == 'LOAD': _, reg, mem_addr = parts reg_index = int(reg[1]) - 1 memory_address = int(mem_addr) registers[reg_index] = memory[memory_address] elif command == 'STORE': _, reg, mem_addr = parts reg_index = int(reg[1]) - 1 memory_address = int(mem_addr) memory[memory_address] = registers[reg_index] elif command == 'HCF': break # Move to the next instruction instruction_pointer += 1 return memory[:20] # Return the first 20 memory addresses # Example usage: program = """ SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program """ print(evaluate(program)) # Output should be [1, 4, 9, 16, 25, ...] |
Running the following program:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 | def evaluate(program): # Initialize registers, memory, and instruction pointer registers = [0] * 8 # R1 to R8 memory = [0] * 100 # Memory addresses 0 to 99 instruction_pointer = 0 flag = False # Split the program into lines and handle labels lines = program.strip().splitlines() labels = {} # First pass: identify labels and their line numbers for line_number, line in enumerate(lines): if ':' in line: label, _ = line.split(':', 1) labels[label.strip()] = line_number # Second pass: execute instructions while instruction_pointer < len(lines): line = lines[instruction_pointer].strip() if line.endswith(':'): instruction_pointer += 1 continue parts = line.split() command = parts[0] if command == 'SET': _, reg, value = parts reg_index = int(reg[1]) - 1 registers[reg_index] = int(value) elif command in ('ADD', 'SUB', 'MUL', 'DIV', 'MOD'): _, reg_x, reg_y, reg_z = parts reg_x_index = int(reg_x[1]) - 1 reg_y_index = int(reg_y[1]) - 1 reg_z_index = int(reg_z[1]) - 1 if command == 'ADD': registers[reg_x_index] = registers[reg_y_index] + registers[reg_z_index] elif command == 'SUB': registers[reg_x_index] = registers[reg_y_index] - registers[reg_z_index] elif command == 'MUL': registers[reg_x_index] = registers[reg_y_index] * registers[reg_z_index] elif command == 'DIV': registers[reg_x_index] = registers[reg_y_index] // registers[reg_z_index] elif command == 'MOD': registers[reg_x_index] = registers[reg_y_index] % registers[reg_z_index] elif command in ('EQ', 'NEQ', 'LT', 'LTE', 'GT', 'GTE'): _, reg_x, reg_y = parts reg_x_index = int(reg_x[1]) - 1 reg_y_index = int(reg_y[1]) - 1 if command == 'EQ': flag = (registers[reg_x_index] == registers[reg_y_index]) elif command == 'NEQ': flag = (registers[reg_x_index] != registers[reg_y_index]) elif command == 'LT': flag = (registers[reg_x_index] < registers[reg_y_index]) elif command == 'LTE': flag = (registers[reg_x_index] <= registers[reg_y_index]) elif command == 'GT': flag = (registers[reg_x_index] > registers[reg_y_index]) elif command == 'GTE': flag = (registers[reg_x_index] >= registers[reg_y_index]) elif command in ('INC', 'DEC'): _, reg = parts reg_index = int(reg[1]) - 1 if command == 'INC': registers[reg_index] += 1 elif command == 'DEC': registers[reg_index] -= 1 elif command == 'JMP': _, label = parts instruction_pointer = labels[label] # Jump to the label elif command == 'JT': _, label = parts if flag: instruction_pointer = labels[label] elif command == 'JF': _, label = parts if not flag: instruction_pointer = labels[label] elif command == 'LOAD': _, reg, mem_addr = parts reg_index = int(reg[1]) - 1 memory_address = int(mem_addr) registers[reg_index] = memory[memory_address] elif command == 'STORE': _, reg, mem_addr = parts reg_index = int(reg[1]) - 1 memory_address = int(mem_addr) memory[memory_address] = registers[reg_index] elif command == 'HCF': break # Move to the next instruction instruction_pointer += 1 return memory[:20] # Return the first 20 memory addresses # Example usage: program = """ SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program """ print(evaluate(program)) # Output should be [1, 4, 9, 16, 25, ...] 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') |
Traceback (most recent call last):
File "/usr/src/app/main.py", line 131, in <module>
print(evaluate(program)) # Output should be [1, 4, 9, 16, 25, ...]
File "/usr/src/app/main.py", line 31, in evaluate
_, reg, value = parts
ValueError: too many values to unpack (expected 3)
Testing if the previous output contains the string All tests passed
: False
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) For example here is a program to compute the first 20 square numbers (1, 4, 9, 16, 25, ...): SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program Write me a python interpreter `evaluate(str)` that returns the resulting memory state after running the program. For example, `evaluate(program)` should return `[1, 4, 9, 16, 25, ...]` for the above program.
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) For example here is a program to compute the first 20 square numbers (1, 4, 9, 16, 25, ...): SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program Write me a python interpreter `evaluate(str)` that returns the resulting memory state after running the program. For example, `evaluate(program)` should return `[1, 4, 9, 16, 25, ...]` for the above program.
To implement the assembly language interpreter you've described, we can create a Python function `evaluate` that will parse and execute the instructions step by step. Below is a complete implementation of the interpreter along with the logic to handle the instructions using a simple simulation of the described assembly language.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 | def evaluate(program): # Initialize registers, memory, and flags registers = [0] * 8 # R1 to R8 memory = [0] * 100 # 100 memory addresses flag = False # Single boolean flag instruction_pointer = 0 # Instruction pointer labels = {} # To store labels and their instruction locations # Split the program into lines and parse labels lines = program.strip().splitlines() for index, line in enumerate(lines): line = line.split('//')[0].strip() # Remove comments if line: if ':' in line: # It's a label label = line.split(':')[0].strip() labels[label] = index else: lines[index] = line # Keep instruction without label while instruction_pointer < len(lines): line = lines[instruction_pointer].strip() if not line: instruction_pointer += 1 continue parts = line.split() op = parts[0] # Operation code args = parts[1:] # Arguments # Processing each type of instruction if op == 'SET': r = int(args[0][1]) - 1 # Rx (R1 is index 0) c = int(args[1]) # Constant C registers[r] = c elif op in ['ADD', 'SUB', 'MUL', 'DIV', 'MOD']: r = int(args[0][1]) - 1 # Rx y = int(args[1][1]) - 1 # Ry z = int(args[2][1]) - 1 # Rz if op == 'ADD': registers[r] = registers[y] + registers[z] elif op == 'SUB': registers[r] = registers[y] - registers[z] elif op == 'MUL': registers[r] = registers[y] * registers[z] elif op == 'DIV': registers[r] = registers[y] // registers[z] elif op == 'MOD': registers[r] = registers[y] % registers[z] elif op in ['EQ', 'NEQ', 'LT', 'LTE', 'GT', 'GTE']: r = int(args[0][1]) - 1 # Rx y = int(args[1][1]) - 1 # Ry if op == 'EQ': flag = registers[r] == registers[y] elif op == 'NEQ': flag = registers[r] != registers[y] elif op == 'LT': flag = registers[r] < registers[y] elif op == 'LTE': flag = registers[r] <= registers[y] elif op == 'GT': flag = registers[r] > registers[y] elif op == 'GTE': flag = registers[r] >= registers[y] elif op in ['INC', 'DEC']: r = int(args[0][1]) - 1 # Rx if op == 'INC': registers[r] += 1 elif op == 'DEC': registers[r] -= 1 elif op == 'JMP': label = args[0] instruction_pointer = labels[label] continue # Skip normal increment elif op == 'JT': label = args[0] if flag: instruction_pointer = labels[label] continue # Skip normal increment elif op == 'JF': label = args[0] if not flag: instruction_pointer = labels[label] continue # Skip normal increment elif op == 'LOAD': r = int(args[0][1]) - 1 # Rx m = int(args[1]) # Memory address registers[r] = memory[m] elif op == 'STORE': r = int(args[0][1]) - 1 # Rx m = int(args[1]) # Memory address memory[m] = registers[r] elif op == 'HCF': break # Stop program # Increment instruction pointer instruction_pointer += 1 return memory[:20] # Return the first 20 memory addresses as the result # Example usage program = """ SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program """ # Run the program result = evaluate(program) print(result) # Expected output: [1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400] |
I extracted the following code from that output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 | def evaluate(program): # Initialize registers, memory, and flags registers = [0] * 8 # R1 to R8 memory = [0] * 100 # 100 memory addresses flag = False # Single boolean flag instruction_pointer = 0 # Instruction pointer labels = {} # To store labels and their instruction locations # Split the program into lines and parse labels lines = program.strip().splitlines() for index, line in enumerate(lines): line = line.split('//')[0].strip() # Remove comments if line: if ':' in line: # It's a label label = line.split(':')[0].strip() labels[label] = index else: lines[index] = line # Keep instruction without label while instruction_pointer < len(lines): line = lines[instruction_pointer].strip() if not line: instruction_pointer += 1 continue parts = line.split() op = parts[0] # Operation code args = parts[1:] # Arguments # Processing each type of instruction if op == 'SET': r = int(args[0][1]) - 1 # Rx (R1 is index 0) c = int(args[1]) # Constant C registers[r] = c elif op in ['ADD', 'SUB', 'MUL', 'DIV', 'MOD']: r = int(args[0][1]) - 1 # Rx y = int(args[1][1]) - 1 # Ry z = int(args[2][1]) - 1 # Rz if op == 'ADD': registers[r] = registers[y] + registers[z] elif op == 'SUB': registers[r] = registers[y] - registers[z] elif op == 'MUL': registers[r] = registers[y] * registers[z] elif op == 'DIV': registers[r] = registers[y] // registers[z] elif op == 'MOD': registers[r] = registers[y] % registers[z] elif op in ['EQ', 'NEQ', 'LT', 'LTE', 'GT', 'GTE']: r = int(args[0][1]) - 1 # Rx y = int(args[1][1]) - 1 # Ry if op == 'EQ': flag = registers[r] == registers[y] elif op == 'NEQ': flag = registers[r] != registers[y] elif op == 'LT': flag = registers[r] < registers[y] elif op == 'LTE': flag = registers[r] <= registers[y] elif op == 'GT': flag = registers[r] > registers[y] elif op == 'GTE': flag = registers[r] >= registers[y] elif op in ['INC', 'DEC']: r = int(args[0][1]) - 1 # Rx if op == 'INC': registers[r] += 1 elif op == 'DEC': registers[r] -= 1 elif op == 'JMP': label = args[0] instruction_pointer = labels[label] continue # Skip normal increment elif op == 'JT': label = args[0] if flag: instruction_pointer = labels[label] continue # Skip normal increment elif op == 'JF': label = args[0] if not flag: instruction_pointer = labels[label] continue # Skip normal increment elif op == 'LOAD': r = int(args[0][1]) - 1 # Rx m = int(args[1]) # Memory address registers[r] = memory[m] elif op == 'STORE': r = int(args[0][1]) - 1 # Rx m = int(args[1]) # Memory address memory[m] = registers[r] elif op == 'HCF': break # Stop program # Increment instruction pointer instruction_pointer += 1 return memory[:20] # Return the first 20 memory addresses as the result # Example usage program = """ SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program """ # Run the program result = evaluate(program) print(result) # Expected output: [1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400] |
Running the following program:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 | def evaluate(program): # Initialize registers, memory, and flags registers = [0] * 8 # R1 to R8 memory = [0] * 100 # 100 memory addresses flag = False # Single boolean flag instruction_pointer = 0 # Instruction pointer labels = {} # To store labels and their instruction locations # Split the program into lines and parse labels lines = program.strip().splitlines() for index, line in enumerate(lines): line = line.split('//')[0].strip() # Remove comments if line: if ':' in line: # It's a label label = line.split(':')[0].strip() labels[label] = index else: lines[index] = line # Keep instruction without label while instruction_pointer < len(lines): line = lines[instruction_pointer].strip() if not line: instruction_pointer += 1 continue parts = line.split() op = parts[0] # Operation code args = parts[1:] # Arguments # Processing each type of instruction if op == 'SET': r = int(args[0][1]) - 1 # Rx (R1 is index 0) c = int(args[1]) # Constant C registers[r] = c elif op in ['ADD', 'SUB', 'MUL', 'DIV', 'MOD']: r = int(args[0][1]) - 1 # Rx y = int(args[1][1]) - 1 # Ry z = int(args[2][1]) - 1 # Rz if op == 'ADD': registers[r] = registers[y] + registers[z] elif op == 'SUB': registers[r] = registers[y] - registers[z] elif op == 'MUL': registers[r] = registers[y] * registers[z] elif op == 'DIV': registers[r] = registers[y] // registers[z] elif op == 'MOD': registers[r] = registers[y] % registers[z] elif op in ['EQ', 'NEQ', 'LT', 'LTE', 'GT', 'GTE']: r = int(args[0][1]) - 1 # Rx y = int(args[1][1]) - 1 # Ry if op == 'EQ': flag = registers[r] == registers[y] elif op == 'NEQ': flag = registers[r] != registers[y] elif op == 'LT': flag = registers[r] < registers[y] elif op == 'LTE': flag = registers[r] <= registers[y] elif op == 'GT': flag = registers[r] > registers[y] elif op == 'GTE': flag = registers[r] >= registers[y] elif op in ['INC', 'DEC']: r = int(args[0][1]) - 1 # Rx if op == 'INC': registers[r] += 1 elif op == 'DEC': registers[r] -= 1 elif op == 'JMP': label = args[0] instruction_pointer = labels[label] continue # Skip normal increment elif op == 'JT': label = args[0] if flag: instruction_pointer = labels[label] continue # Skip normal increment elif op == 'JF': label = args[0] if not flag: instruction_pointer = labels[label] continue # Skip normal increment elif op == 'LOAD': r = int(args[0][1]) - 1 # Rx m = int(args[1]) # Memory address registers[r] = memory[m] elif op == 'STORE': r = int(args[0][1]) - 1 # Rx m = int(args[1]) # Memory address memory[m] = registers[r] elif op == 'HCF': break # Stop program # Increment instruction pointer instruction_pointer += 1 return memory[:20] # Return the first 20 memory addresses as the result # Example usage program = """ SET R1 0 // Counter for storing squares SET R2 1 // Number to square loop: MUL R3 R2 R2 // R3 = R2 * R2 STORE R3 R1 // Store R3 at address R1 INC R1 // Increment address INC R2 // Increment number SET R3 20 EQ R1 R3 // Check if 20 squares are found JF loop // If not 20 squares found yet, continue finding end: HCF // Stop program """ # Run the program result = evaluate(program) print(result) # Expected output: [1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400] 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') |
Traceback (most recent call last):
File "/usr/src/app/main.py", line 129, in <module>
result = evaluate(program)
File "/usr/src/app/main.py", line 99, in evaluate
m = int(args[1]) # Memory address
ValueError: invalid literal for int() with base 10: 'R1'
Testing if the previous output contains the string All tests passed
: False