source code
// The Computer Language Benchmarks Game
// https://salsa.debian.org/benchmarksgame-team/benchmarksgame/
//
// contributed by Ian Osgood
// modified for Node.js by Isaac Gouy
function A(i,j) {
return 1/((i+j)*(i+j+1)/2+i+1);
}
function Au(u,v) {
for (var i=0; i<u.length; ++i) {
var t = 0;
for (var j=0; j<u.length; ++j)
t += A(i,j) * u[j];
v[i] = t;
}
}
function Atu(u,v) {
for (var i=0; i<u.length; ++i) {
var t = 0;
for (var j=0; j<u.length; ++j)
t += A(j,i) * u[j];
v[i] = t;
}
}
function AtAu(u,v,w) {
Au(u,w);
Atu(w,v);
}
function spectralnorm(n) {
var i, u=[], v=[], w=[], vv=0, vBv=0;
for (i=0; i<n; ++i) {
u[i] = 1; v[i] = w[i] = 0;
}
for (i=0; i<10; ++i) {
AtAu(u,v,w);
AtAu(v,u,w);
}
for (i=0; i<n; ++i) {
vBv += u[i]*v[i];
vv += v[i]*v[i];
}
return Math.sqrt(vBv/vv);
}
console.log(spectralnorm(+process.argv[2]).toFixed(9));
notes, command-line, and program output
NOTES:
64-bit Ubuntu quad core
v14.2.0
Thu, 07 May 2020 02:39:39 GMT
MAKE:
cp -L spectralnorm.node spectralnorm.js
0.21s to complete and log all make actions
COMMAND LINE:
/opt/src/node-v14.2.0-linux-x64/bin/node spectralnorm.js 5500
PROGRAM OUTPUT:
1.274224153