<html>
    <head>
      <base href="https://bugs.llvm.org/">
    </head>
    <body><table border="1" cellspacing="0" cellpadding="8">
        <tr>
          <th>Bug ID</th>
          <td><a class="bz_bug_link 
          bz_status_NEW "
   title="NEW - Missing known bits info for x*x"
   href="https://bugs.llvm.org/show_bug.cgi?id=48683">48683</a>
          </td>
        </tr>

        <tr>
          <th>Summary</th>
          <td>Missing known bits info for x*x
          </td>
        </tr>

        <tr>
          <th>Product</th>
          <td>libraries
          </td>
        </tr>

        <tr>
          <th>Version</th>
          <td>trunk
          </td>
        </tr>

        <tr>
          <th>Hardware</th>
          <td>PC
          </td>
        </tr>

        <tr>
          <th>OS</th>
          <td>Linux
          </td>
        </tr>

        <tr>
          <th>Status</th>
          <td>NEW
          </td>
        </tr>

        <tr>
          <th>Severity</th>
          <td>enhancement
          </td>
        </tr>

        <tr>
          <th>Priority</th>
          <td>P
          </td>
        </tr>

        <tr>
          <th>Component</th>
          <td>Scalar Optimizations
          </td>
        </tr>

        <tr>
          <th>Assignee</th>
          <td>unassignedbugs@nondot.org
          </td>
        </tr>

        <tr>
          <th>Reporter</th>
          <td>david.bolvansky@gmail.com
          </td>
        </tr>

        <tr>
          <th>CC</th>
          <td>llvm-bugs@lists.llvm.org
          </td>
        </tr></table>
      <p>
        <div>
        <pre>bool foo(unsigned x) {
    return (x * x) & 2;
}


Square is always congruent to 0 or 1 mod 4 so we can fold it to return false
(For knownbits, second LSB is not set).

define i1 @src(i32 %0) {
%1:
  %2 = mul i32 %0, %0
  %3 = and i32 %2, 2
  %4 = icmp ne i32 %3, 0
  ret i1 %4
}
=>
define i1 @tgt(i32 %0) {
%1:
  ret i1 0
}
Transformation seems to be correct!

<a href="https://en.wikipedia.org/wiki/Quadratic_reciprocity">https://en.wikipedia.org/wiki/Quadratic_reciprocity</a></pre>
        </div>
      </p>


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