Download or view floatTiming.frink in plain text format
/** This program tests floating-point timing for a large number of digits. It
also calculates the Big-O notation (which should be O(n^something)) where n is
the number of digits being calculated. */
runs = million
lastTime = undef
lastIterations = undef
lastPrecision = undef
n1 = 1.
d1 = 7.
n2 = 2
d2 = 17.
for n = 1 to 3
{
lastIterations = 0
lastTime = 0 s
lastPrec = 0
multifor [p, m] = [1 to 7, [1,2]]
{
prec = m 10^p
iterations = ceil[10^(7-p) / m]
setPrecision[prec]
a = n1/d1
b = n2/d2
start = now[]
for r = 1 to iterations
{
c = a / b
}
end = now[]
setPrecision[20]
time = end-start
print["precision=$prec "]
if m == 2
print[" "]
print["iterations=$iterations "]
print["Time:" (time -> "ms")]
// Calculate Big-O exponent O(n^x)
if lastTime != undef and lastTime != 0 s and time != 0 s and lastIterations != 0 and iterations != 0 and lastPrec != 0
{
iterTime = time/iterations
lastIterTime = lastTime / lastIterations
x = log[iterTime/lastIterTime] / log[prec/lastPrec]
// t = c prec^x (solve for c)
// Constant factor c solved via
// https://frinklang.org/fsp/solve.fsp?eq=t+%3D+c+prec%5Ex&solveFor=c
c = prec^(-x) iterTime
println[" O(n^" + formatFix[x,1,3] + ")\t" + formatSig[c,"s",6] + " n^" + formatFix[x,1,3]]
} else
println[]
lastTime = time
lastPrec = prec
lastIterations = iterations
}
}
Download or view floatTiming.frink in plain text format
This is a program written in the programming language Frink.
For more information, view the Frink
Documentation or see More Sample Frink Programs.
Alan Eliasen was born 19971 days, 19 hours, 57 minutes ago.