SampleDPfunctions.chk
View Options




			Sample 1. Compare Fortran's built-in gamma function to FM's

			Maximum relative error in Fortran gamma was 1.3163085E-13 for A = 150.500
			4.661072627096765+261 = GAMMA(A)
			4.661072627097378+261 = GAMMA( TO_FM(A) )


			Sample 2. Binomial coefficients
			Find the probability of getting exactly 10,000 heads
			in 20,000 tosses of a fair coin.

			BINOMIAL( TO_FM(20000), TO_FM(10000) ) / TO_FM(2)**20000 = 0.0056418253122204


			Sample 3. Log integral
			Estimate the number of primes less than 10**30.

			LOG_INTEGRAL(TO_FM('1.0E+30')) = 1.469239889772045E+28


			Sample 4. Psi and polygamma functions.
			Sum (n=1 to infinity) 1/(n*2 (8n+1)**2) =
			16*(psi(1) - psi(9/8)) + polygamma(1,1) + polygamma(1,9/8)

			Sum = 0.0134994861454130


			Sample 5. Incomplete gamma and gamma functions.

			Probability = 0.1937331301148714

cosolver/basis_transformation/FMlib/FMsamples/SampleDPfunctions.chk83b8f38f6c51new_coulomb