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Python - Getting started with SymPy module
SymPy is a Python library for symbolic mathematics. It aims to become a full-featured computer algebra system (CAS) while keeping the code as simple as possible in order to be comprehensible and easily extensible. SymPy is written entirely in Python. SymPy only depends on mpmath, a pure Python library for arbitrary floating point arithmetic, making it easy to use.
#Installing sympy module
pip install sympy
SymPy defines following numerical types: Rational and Integer. The Rational class represents a rational number as a pair of two Integers, numerator and denominator, so Rational(1, 2) represents 1/2, Rational(5, 2) 5/2 and so on. The Integer class represents Integer number.
SymPy uses mpmath in the background, which makes it possible to perform computations using arbitrary-precision arithmetic. That way, some special constants, like exp, pi, oo (Infinity), are treated as symbols and can be evaluated with arbitrary precision.
Example
# import everything from sympy module
from sympy import *
# you can't get any numerical value
p = pi**3
print("value of p is :" + str(p))
# evalf method evaluates the expression to a floating-point number
q = pi.evalf()
print("value of q is :" + str(q))
# equivalent to e ^ 1 or e ** 1
r = exp(1).evalf()
print("value of r is :" + str(r))
s = (pi + exp(1)).evalf()
print("value of s is :" + str(s))
rslt = oo + 10000
print("value of rslt is :" + str(rslt))
if oo > 9999999 :
print("True")
else:
print("False")Output
value of p is :pi**3 value of q is :3.14159265358979 value of r is :2.71828182845905 value of s is :5.85987448204884 value of rslt is :oo True
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