DuckieDai Horizontal Asymptote Solver Python Program

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rational-functions · MIT License

Overview

Find a rational function's horizontal asymptote from numerator and denominator degrees and, when needed, leading coefficients.

Calculator simulation

Try the DuckieDai calculator screen

Follow the reviewed program prompts and calculation flow before downloading.

Simulation boundary: This preview uses a reviewed browser adapter. It does not execute the downloaded Python and does not prove TI-Python or calculator compatibility.

JavaScript is required for the optional browser simulation. Source viewing and downloading remain available without it.

Usage

Inputs

Numerator degree
Denominator degree
Leading coefficients when degrees match

Outputs

y = 0, no horizontal asymptote, or the leading-coefficient ratio

Units: Polynomial degrees and coefficients; no physical units.

Assumptions and limitations

Assumptions

The function is rational and degrees are entered correctly.

Constraints

A zero denominator leading coefficient is invalid.

Known failures

The tool does not find slant asymptotes.

Compatibility and review

Review status: Tested on a TI calculator
Tested on: Creator-owned TI-84 Plus CE Python calculator; exact .py transferred and launched individually
What happened: Passed: creator personally tested the exact Horizontal Asymptote Solver program on a TI 84 Plus CE Python calculator.
Dependencies: No imports
Suggested calculator name: HASYMS — you can give it another valid, unique name when you transfer it
Desktop test cases: Not available for this interactive-only source

This exact source auto-launches an interactive calculator session, so compatibility evidence comes from the recorded physical-device review rather than an importable desktop fixture.

Exact reviewed bytes

Source code

Download .py

View source below, copy it when JavaScript is available, or download the exact .py bytes.

"""DuckieDai Horizontal Asymptote Solver for TI-84 Plus CE Python."""
def duckiedai_intro(program_name,wait=True):
 title=program_name[:16];e=16-len(title);l=e//2;r=e-l
 print("+----------------------+\n|   "+" "*l+title+" "*r+"   |\n|                      |\n|       __             |\n|   ___(o )>  quack!   |\n|   \\ <_. )           |\n|    `---'             |\n|     by DuckieDai     |\n+----------------------+\nLoading...")
 if wait: input("Press enter to start ");print("\n"*8)
def clear_screen(): print("\n"*8)
def number(prompt):
 while True:
  try:return float(input(prompt))
  except ValueError:print("Enter a number")
def run_solver():
 clear_screen();print("HORIZ ASYMPTOTE\n--------------\n")
 top_deg=int(number("Top degree: "));bot_deg=int(number("Bottom degree: "))
 clear_screen();print("HORIZONTAL\n----------")
 if top_deg<bot_deg:print("y = 0")
 elif top_deg>bot_deg:print("NONE")
 else:
  print("Same degree\nNeed lead coeffs\n");top=number("Top lead: ");bot=number("Bottom lead: ")
  if bot==0:print("INVALID\nBottom lead\ncannot be 0")
  else:print("y =",top/bot)
duckiedai_intro("Horiz Asym")
while True:
 run_solver();print("")
 if input("Again? y/n: ").lower()!="y":break
clear_screen();print("DuckieDai says: done!")

"""DuckieDai Horizontal Asymptote Solver for TI-84 Plus CE Python."""
def duckiedai_intro(program_name,wait=True):
title=program_name[:16];e=16-len(title);l=e//2;r=e-l
print("+----------------------+\n| "+" "*l+title+" "*r+" |\n| |\n| __ |\n| ___(o )> quack! |\n| \\ <_. ) |\n| `---' |\n| by DuckieDai |\n+----------------------+\nLoading...")
if wait: input("Press enter to start ");print("\n"*8)
def clear_screen(): print("\n"*8)
def number(prompt):
while True:
try:return float(input(prompt))
except ValueError:print("Enter a number")
def run_solver():
clear_screen();print("HORIZ ASYMPTOTE\n--------------\n")
top_deg=int(number("Top degree: "));bot_deg=int(number("Bottom degree: "))
clear_screen();print("HORIZONTAL\n----------")
if top_deg<bot_deg:print("y = 0")
elif top_deg>bot_deg:print("NONE")
else:
print("Same degree\nNeed lead coeffs\n");top=number("Top lead: ");bot=number("Bottom lead: ")
if bot==0:print("INVALID\nBottom lead\ncannot be 0")
else:print("y =",top/bot)
duckiedai_intro("Horiz Asym")
while True:
run_solver();print("")
if input("Again? y/n: ").lower()!="y":break
clear_screen();print("DuckieDai says: done!")

Filename: HASYMS.py
Size: 1244 bytes
SHA-256: 1836ea131cf1e48109d1a2d8fa0c3ca2305a93ce4f7b6ea3982278381b39f8ed

Transfer and launch

Confirm that your calculator is the Python-capable model named above. Check that its OS and Python App versions match the reviewed record.
Download the .py source above and verify its SHA-256 digest if your computer provides that option.
Use TI Connect CE to send the Python file to a compatible calculator. HASYMS is a suggested name; you may choose another valid, unique calculator name.
Open the Python App, select the program, and check sample inputs before relying on other results.

Read the complete installation, launch, troubleshooting, and removal guide.

Availability does not mean a teacher, school, or exam permits this program. Follow the applicable rules.

Version history

1.0.0 — current version, published 2026-09-28. Download this reviewed version

Any source change requires a new immutable version and digest. Historical downloads remain available only while their review records remain valid.

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