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<!DOCTYPE html>
<head>
<!--
 Copyright (C) 2007 Apple Inc.  All rights reserved.

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 modification, are permitted provided that the following conditions
 are met:
 1. Redistributions of source code must retain the above copyright
    notice, this list of conditions and the following disclaimer.
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 CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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 PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
 PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
 (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
 OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-->

<title>SunSpider math-spectral-norm</title>

</head>

<body>
<h3>math-spectral-norm</h3>
<div id="console">
</div>

<script>

var _sunSpiderStartDate = new Date();

// The Great Computer Language Shootout
// http://shootout.alioth.debian.org/
//
// contributed by Ian Osgood

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);
}

for (var i = 6; i <= 48; i *= 2) {
    spectralnorm(i);
}


var _sunSpiderInterval = new Date() - _sunSpiderStartDate;

document.getElementById("console").innerHTML = _sunSpiderInterval;
</script>


</body>
</html>