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sympy_integral_and_printing.py
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sympy_integral_and_printing.py
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#!/usr/bin/env python3
"""
This file is part of eRCaGuy_hello_world:
https://github.com/ElectricRCAircraftGuy/eRCaGuy_hello_world
GS
19 Aug. 2022
Demonstrate basic symbolic integral calculus and printing using SymPy.
Status: done and works!
Check this script with `pylint` v2.0.0 or later. See "eRCaGuy_hello_world/python/README.md" for
installation instructions to install the latest version from GitHub.
For a list of all error codes, such as `C0301`, `C0116`, `W0105`, etc., see here:
https://pylint.pycqa.org/en/latest/messages/messages_list.html
```bash
pylint sympy_integral_and_printing.py
```
Run command:
```bash
./sympy_integral_and_printing.py
# OR
python3 sympy_integral_and_printing.py
```
References:
1. [my answer with this code] Simplest way to solve mathematical equations in
Python: "SymPy symbolic Python library demo: symbolically solving math and
integrals & pretty-printing the output":
https://stackoverflow.com/a/73424544/4561887
1. https://docs.sympy.org/latest/tutorial/calculus.html
1. https://docs.sympy.org/latest/tutorial/printing.html
"""
from sympy import *
x, y, z = symbols('x y z')
init_printing(use_unicode=True)
# Store an integral
integral = Integral(exp(-x**2 - y**2), (x, -oo, oo), (y, -oo, oo))
# print it in various ways
print("ORIGINAL INTEGRAL:")
print(pretty(integral))
pprint(integral) # "pretty print": same as above
print(pretty(integral, use_unicode=False)) # pretty print with ASCII instead
# of unicode
print(integral) # plain text
print(latex(integral)) # in LaTeX format
# Now solve the integral and output the result by telling it to
# "do it".
result = integral.doit()
# print it in various ways
print("\nRESULT:")
print(pretty(result))
pprint(result)
print(pretty(result, use_unicode=False))
print(result)
print(latex(result))
# pylint: disable-next=pointless-string-statement
"""
SAMPLE OUTPUT:
eRCaGuy_hello_world/math$ ./sympy_integral_and_printing.py
ORIGINAL INTEGRAL:
∞ ∞
⌠ ⌠
⎮ ⎮ 2 2
⎮ ⎮ - x - y
⎮ ⎮ ℯ dx dy
⌡ ⌡
-∞ -∞
∞ ∞
⌠ ⌠
⎮ ⎮ 2 2
⎮ ⎮ - x - y
⎮ ⎮ ℯ dx dy
⌡ ⌡
-∞ -∞
oo oo
/ /
| |
| | 2 2
| | - x - y
| | e dx dy
| |
/ /
-oo -oo
Integral(exp(-x**2 - y**2), (x, -oo, oo), (y, -oo, oo))
\int\limits_{-\infty}^{\infty}\int\limits_{-\infty}^{\infty} e^{- x^{2} - y^{2}}\, dx\, dy
RESULT:
π
π
pi
pi
\pi
"""