As far as people show interest in this topic I decided to perform an additional measurement to the one I performed in Part 1.
Indeed lua is really good at floating points numbers operations! It is only 4.5 times slower than the C version! Anonymous was right after all and Perl is busted!
Continue to the Part 3
This time I wanted to compare floating point numbers operations performance because my good friend Anonymous worried about it. He said that I shouldn't have abused lua interpreter with basic arithmetic operations on integers because it's not good at it. He said that I should have tried floating points numbers instead to let lua interpreter shine. I was a bit skeptic about it to be honest but Anonymous's logic was sound.
To perform the test I decided to integrate an exponent from 0 to 1. This is not a really useful calculation I must confess but it offers lots and lots of floating point numbers calculations and its result is very easy to prove because it is known to be equal to e-1. I've also added a plain C implementation for the comparison
To calculate the exponent function I take first 100 terms of the Taylor series and all interpreters should operate with double precision at least because floats would be overflown by factorials.
Implementations are trivial but I put it here anyway so that everyone could repeat the tests if needed:
Perl:
Python:
Lua:
C:
Implementations are trivial but I put it here anyway so that everyone could repeat the tests if needed:
Perl:
alex@thinkpad:~/projects$ cat speedcompar/exp.pl #!/usr/bin/env perl $explim = 100; $step = 0.000001; sub myexp { my $i; my $sum = 0.0; my $fact = 1.0; my $x = 1.0; for ($i = 1; $i<=$explim; $i++) { $fact*= $i; $x*= $_[0]; $sum+= $x/$fact; } return $sum+1.0; } sub integrate { my $min = $_[0]; my $max = $_[1]; my $sum = 0.0; while ($min<$max) { $sum+= myexp($min)*$step; $min+=$step; } return $sum; } print "exponent( 1.0)=".myexp(1.0)."\n"; print "integral(0..1)=".integrate(0.0,1.0)."\n";
Python:
alex@thinkpad:~/projects$ cat speedcompar/exp.py #!/usr/bin/env python explimit=100 step=0.000001 def myexp(val): sum = 0.0 fact = 1.0 x = 1.0 for i in range(1, explimit): fact = fact * i x = x * val sum = sum + x/fact return sum + 1.0 def integrate(min, max): sum = 0.0 while min<max: sum = sum + myexp(min)*step min = min + step return sum print "exponent( 1.0)=%s" % (myexp(1.0)) print "integral(0..1)=%s" % (integrate(0.0,1.0))
Lua:
alex@thinkpad:~/projects$ cat speedcompar/exp.lua #!/usr/bin/env lua explim = 100 step = 0.000001 function myexp(val) local sum = 0.0 local fact = 1.0 local x = 1.0 local i for i = 1, explim, 1 do fact = fact * i x = x * val sum = sum + x/fact end return sum + 1.0 end function integrate(min,max) local sum = 0.0 while min < max do sum = sum + myexp(min)*step min = min + step end return sum end print ("exponent( 1.0)=" .. myexp(1.0)) print ("integral(0..1)=" .. integrate(0.0,1.0))
C:
alex@thinkpad:~/projects$ cat speedcompar/exp.c #include <stdio.h> int explimit = 100; double step = 0.000001; double myexp(double val) { int i; double sum = 0.0; double x = 1.0; double fact = 1.0; for (i=1;i<=explimit;++i) { fact*=i; x*=val; sum+=x/fact; } return sum + 1.0; } double integrate(double min, double max) { double sum = 0.0; while (min<max) { sum+=myexp(min)*step; min+=step; } return sum; } int main(int argc, char** argv) { printf("exponent( 1.0)=%f\n", myexp(1.0)); printf("integral(0..1)=%f\n", integrate(0.0,1.0)); }
And here are the results of the test:
alex@thinkpad:~/projects$ time speedcompar/exp.bin exponent( 1.0)=2.718282 integral(0..1)=1.718281 real 0m0.951s user 0m0.948s sys 0m0.000s alex@thinkpad:~/projects$ time speedcompar/exp.lua exponent( 1.0)=2.718281828459 integral(0..1)=1.7182809693185 real 0m4.412s user 0m4.400s sys 0m0.004s alex@thinkpad:~/projects$ time speedcompar/exp.py exponent( 1.0)=2.71828182846 integral(0..1)=1.71828096932 real 0m17.268s user 0m17.236s sys 0m0.004s alex@thinkpad:~/projects$ time speedcompar/exp.pl exponent( 1.0)=2.71828182845905 integral(0..1)=1.7182809693185 real 0m28.149s user 0m28.104s sys 0m0.000s
Indeed lua is really good at floating points numbers operations! It is only 4.5 times slower than the C version! Anonymous was right after all and Perl is busted!
Continue to the Part 3
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