# Hi-Lo # How many guesses will you take to discover a secret number between 0 and 1023? # Enter a number in the Display Register then press Return. # The calculator displays +1 if your guess is too large, -1 if too small or 0 if correct! # Check the History to narrow down the number. # Source: "TI-57 Making Tracks into Programming.pdf#page=214", p. 11-11 import re from math import * from goto import with_goto # pip install goto-statement @with_goto def main(): global ee, mem, rounding, stack, unit, x label .label_rst # Data Input # Your guess x = 0 # 0 mem[2] = x # STO 2 (32 0) # Data Preprocessing x = 0 # 0 mem[7] = x # STO 7 (32 0) x = mem[0] # RCL 0 (33 0) # Seed != 0? if x != mem[7]: # INV 2nd x=t (- 66) goto .label_0 # GTO 0 (51 0) # Set the seed x = 0.556597 # 0.556597 mem[0] = x # STO 0 (32 0) label .label_0 # 2nd Lbl 0 (86 0) # Data Processing (50 steps) x = 0 # 0 mem[7] = x # STO 7 (32 0) x = mem[1] # RCL 1 (33 0) # No tries yet? if x == mem[7]: # 2nd x=t (66) # Generate secret sbr_1() # SBR 1 (61 0) # Test the guess sbr_4() # SBR 4 (61 0) return # R/S (81) # Subroutine: Generate the secret number @with_goto def sbr_1(): global ee, mem, rounding, stack, unit, x label .label_1 # 2nd Lbl 1 (86 0) # i = π + A x = pi # 2nd pi (30) stack.append(x) # + (75) x = mem[0] # RCL 0 (33 0) y = stack.pop() # = (85) x = y + x # A = Fract[i^8] stack.append(x) # y^x (35) x = 8 # 8 y = stack.pop() # = (85) x = pow(y, x) x = x - int(x) # INV 2nd Int (- 49) mem[0] = x # STO 0 (32 0) # R = Int(A X 1023 + 1) stack.append(x) # X (55) x = 1023 # 1023 y = stack.pop() # + (75) x = y * x stack.append(x) x = 1 # 1 y = stack.pop() # = (85) x = y + x x = int(x) # 2nd Int (49) # Secret mem[6] = x # STO 6 (32 0) label .end # INV SBR (- 61) # Subroutine: Test the guess @with_goto def sbr_4(): global ee, mem, rounding, stack, unit, x label .label_4 # 2nd Lbl 4 (86 0) x = mem[6] # RCL 6 (33 0) mem[7] = x # STO 7 (32 0) # Increment the tries x = 1 # 1 mem[1] += x # SUM 1 (34 0) x = mem[2] # RCL 2 (33 0) regx.append(fix(x)) # 2nd Pause (36) # Guess < Secret? if x < mem[7]: # INV 2nd x>=t (- 76) # Yes, too low goto .label_5 # GTO 5 (51 0) # Guess = Secret? if x == mem[7]: # 2nd x=t (66) # Yes, correct goto .label_7 # GTO 7 (51 0) # +1, too high x = 1 # 1 # = (85) goto .end # INV SBR (- 61) label .label_5 # 2nd Lbl 5 (86 0) # -1, too low x = 1 # 1 x = -x # +/- (84) # = (85) # goto .end # INV SBR (- 61) # Good guess label .label_7 # 2nd Lbl 7 (86 0) # Reset the tries x = 0 # 0 mem[1] = x # STO 1 (32 0) label .end # INV SBR (- 61) # Internal functions def degrees2dms(degrees): """Convert decimal degrees to degrees, minutes, seconds.""" degrees = float(degrees) is_positive = degrees >= 0 if not is_positive: degrees = -degrees minutes, seconds = divmod(degrees * 3600, 60) degrees, minutes = divmod(minutes, 60) # Internal mantissa has 11 digits on TI-57 seconds = f"{seconds:016.13f}".replace(".", "") dms = f"{int(degrees)}.{int(minutes):02}{seconds}".rstrip("0") if not is_positive: dms = "-" + dms return dms def dms2degrees(dms): """Convert degrees, minutes, seconds to decimal degrees.""" match = re.fullmatch( r"(?P[+-])?(?P[0-9]+)\.?(?P[0-9]{1,2})?(?P[0-9]{1,2})?(?P[0-9]*)", str(dms), ) if match is None: raise Exception(f"Calculator error: invalid DMS angle {dms}") angle = match.groupdict() degrees = float(angle["degrees"]) if angle["minutes"]: if len(angle["minutes"]) == 1: angle["minutes"] += "0" degrees += float(angle["minutes"]) / 60 if angle["seconds"]: if len(angle["seconds"]) == 1: angle["seconds"] += "0" degrees += float(angle["seconds"]) / 3600 if angle["remainder"]: degrees += float("0." + angle["remainder"]) / 3600 if angle["sign"] == "-": degrees = -degrees return degrees def fix(number): """Round a number and/or convert it to the scientific notation.""" global ee, rounding if ee: # The scientific notation is on if rounding is None: # Default to the calculator 7 digit precision number = f"{number:.7E}" # Remove trailing 0s number = re.sub("0+E", "E", number) else: # Round as exponent with the given precision number = f"{number:.{rounding}E}" elif rounding is not None: # Rounding is on number = f"{number:.{rounding}f}" else: # No rounding number = str(number) return number def grd2rad(gradian): """Convert gradian to radian.""" return (gradian / 200) * pi def get_calculator_state(): """Return the calculator sate.""" global ee, error, mem, regx, rounding, stack, unit, x return { "ee": ee, "error": error, "fixed_x": fix(x), "mem": mem, "regx": regx, "rounding": rounding, "stack": stack, "unit": unit, "x": x, } def init_calculator_state(state={}): """Initialize the calculator state. Must be called before running the program, see run(). ee -- Scientific notation (EE) error -- Syntax error etc. mem -- Memories (STO) regx -- History of values displayed before a pause (2nd pause) rounding -- Number of digit after the decimal point (2nd Fix) stack -- Internal memory stack used for computing nested operations unit -- Angle unit (2nd Deg, 2nd Rad, 2nd Grad) x -- Display register or X register """ global ee, error, mem, regx, rounding, stack, unit, x ee = state["ee"] if "ee" in state else False error = state["error"] if "error" in state else None mem = state["mem"] if "mem" in state else [0 for i in range(8)] regx = state["regx"] if "regx" in state else [] rounding = state["rounding"] if "rounding" in state else None stack = state["stack"] if "stack" in state else [] unit = state["unit"] if "unit" in state else "Deg" x = state["x"] if "x" in state else 0 def rad2grd(radian): """Convert radian to gradian.""" return (radian / pi) * 200 def rad2unit(number): """Convert radian to degree or gradian.""" global unit number = float(number) if unit == "Deg": number = degrees(number) elif unit == "Grd": number = rad2grd(number) return number def run_program(): """Run the program (the entry point). The calculator must be initialized beforehand, see init_calculator_state(). """ global error, x try: main() except ZeroDivisionError: x = 9.9999999 except UserWarning: # R/S key pass except Exception as e: error = str(e) def unit2rad(number): """Convert degree or gradian to radian.""" global unit number = float(number) if unit == "Deg": number = radians(number) elif unit == "Grd": number = grd2rad(number) return number # Program execution, uncomment to run the file on its own. # init_calculator_state() # run_program() # calculator_state = get_calculator_state() # print(calculator_state)