Question

In Python, write a program that computes machine epsilon (macheps) in:

Single precision (32 bits) and Double precision (64 bits)

Answer 1

I write Code in Python.

Q:write a program that computes machine epsilon (macheps) in:

Single precision (32 bits) and Double precision (64 bits)

Answer:

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Code:

def machineEpsilon(func=float):
machine_epsilon = func(1)
while func(1)+func(machine_epsilon) != func(1):
machine_epsilon_last = machine_epsilon
machine_epsilon = func(machine_epsilon) / func(2)
return machine_epsilon_last

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Now execute the code

Input and Output:

Input: >>> machineEpsilon(float)
Output: 2.220446049250313e-16
Input:>>> import numpy
>>> machineEpsilon(numpy.float64) #double precision
Output: 2.2204460492503131e-16
Input: >>> machineEpsilon(numpy.float32) #single precision
Output: 1.1920929e-07

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I used Python Compilers for executing above code.