spectral-norm Ruby yjit program
source code
# The Computer Language Benchmarks Game
# https://salsa.debian.org/benchmarksgame-team/benchmarksgame/
# Contributed by Sokolov Yura
def eval_A(i,j)
return 1.0/((i+j)*(i+j+1)/2+i+1)
end
def eval_A_times_u(u)
v, i = nil, nil
(0..u.length-1).collect { |i|
v = 0
for j in 0..u.length-1
v += eval_A(i,j)*u[j]
end
v
}
end
def eval_At_times_u(u)
v, i = nil, nil
(0..u.length-1).collect{|i|
v = 0
for j in 0..u.length-1
v += eval_A(j,i)*u[j]
end
v
}
end
def eval_AtA_times_u(u)
return eval_At_times_u(eval_A_times_u(u))
end
n = ARGV[0].to_i
u=[1]*n
for i in 1..10
v=eval_AtA_times_u(u)
u=eval_AtA_times_u(v)
end
vBv=0
vv=0
for i in 0..n-1
vBv += u[i]*v[i]
vv += v[i]*v[i]
end
print "%0.9f" % (Math.sqrt(vBv/vv)), "\n"
notes, command-line, and program output
NOTES:
64-bit Ubuntu quad core
ruby 3.3.5
(2024-09-03
revision ef084cc8f4)
+YJIT [x86_64-linux]
Wed, 04 Sep 2024 22:30:41 GMT
COMMAND LINE:
/opt/src/ruby-3.3.5/bin/ruby --yjit -W0 spectralnorm.ruby 5500
PROGRAM OUTPUT:
1.274224153