from factorial import ramanujan_factorial
from factorial import stirling_factorial
import numpy as np
import matplotlib.pyplot as plt
N = 50
numbers = np.arange(1, N)
factorials = np.cumprod(numbers, dtype=float)
def error(approximations):
return (factorials - approximations)/factorials
plt.plot(error(ramanujan_factorial(numbers)), 'b-', label='Ramanujan')
plt.plot(error(stirling_factorial(numbers)), 'ro', label='Stirling')
plt.title('Factorial approximation relative errors')
plt.xlabel('n')
plt.ylabel('Relative error')
plt.grid()
plt.legend(loc='best')
plt.show()
from factorial import ramanujan_factorial
from factorial import stirling_factorial
import numpy as np
import matplotlib.pyplot as plt
N = 50
numbers = np.arange(1, N)
factorials = np.cumprod(numbers, dtype=float)
def error(approximations):
return (factorials - approximations) / factorials
plt.plot(error(ramanujan_factorial(numbers)), 'b-', label='Ramanujan')
plt.plot(error(stirling_factorial(numbers)), 'ro', label='Stirling')
plt.title('Factorial approximation relative errors')
plt.xlabel('n')
plt.ylabel('Relative error')
plt.grid()
plt.legend(loc='best')
plt.show()
from factorial import ramanujan_factorial
from factorial import stirling_factorial
import numpy
import matplotlib.pyplot
N = 50
numbers = numpy.arange(1, N)
factorials = numpy.cumprod(numbers, dtype=float)
def error(approximations):
return (factorials - approximations) / factorials
matplotlib.pyplot.plot(error(ramanujan_factorial(numbers)), 'b-')
matplotlib.pyplot.plot(error(stirling_factorial(numbers)), 'ro')
matplotlib.pyplot.show()
from factorial import ramanujan_factorial from factorial import stirling_factorial import numpy import matplotlib.pyplot N = 50 numbers = numpy.arange(1, N) factorials = numpy.cumprod(numbers, dtype=float) def error(approximations): return (factorials - approximations)/factorials matplotlib.pyplot.plot(error(ramanujan_factorial(numbers)), 'b-') matplotlib.pyplot.plot(error(stirling_factorial(numbers)), 'ro') matplotlib.pyplot.show()
