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<h1>AbstractEuclideanDomain&lt; T &gt; Member List</h1>This is the complete list of members for <a class="el" href="class_abstract_euclidean_domain.html">AbstractEuclideanDomain&lt; T &gt;</a>, including all inherited members.<table>
  <tr bgcolor="#f0f0f0"><td><b>AbstractRing</b>() (defined in <a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a></td><td><code> [inline]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>AbstractRing</b>(const AbstractRing &amp;source) (defined in <a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a></td><td><code> [inline]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>Accumulate</b>(Element &amp;a, const Element &amp;b) const  (defined in <a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a></td><td><code> [inline, virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>Add</b>(const Element &amp;a, const Element &amp;b) const =0 (defined in <a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a></td><td><code> [pure virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>CascadeExponentiate</b>(const Element &amp;x, const Integer &amp;e1, const Element &amp;y, const Integer &amp;e2) const  (defined in <a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a></td><td><code> [inline, virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>CascadeScalarMultiply</b>(const Element &amp;x, const Integer &amp;e1, const Element &amp;y, const Integer &amp;e2) const  (defined in <a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a></td><td><code> [inline, virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>Divide</b>(const Element &amp;a, const Element &amp;b) const  (defined in <a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a></td><td><code> [inline, virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>DivisionAlgorithm</b>(Element &amp;r, Element &amp;q, const Element &amp;a, const Element &amp;d) const =0 (defined in <a class="el" href="class_abstract_euclidean_domain.html">AbstractEuclideanDomain&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_euclidean_domain.html">AbstractEuclideanDomain&lt; T &gt;</a></td><td><code> [pure virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>Double</b>(const Element &amp;a) const  (defined in <a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a></td><td><code> [inline, virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>Element</b> typedef (defined in <a class="el" href="class_abstract_euclidean_domain.html">AbstractEuclideanDomain&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_euclidean_domain.html">AbstractEuclideanDomain&lt; T &gt;</a></td><td></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>Equal</b>(const Element &amp;a, const Element &amp;b) const =0 (defined in <a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a></td><td><code> [pure virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>Exponentiate</b>(const Element &amp;a, const Integer &amp;e) const  (defined in <a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a></td><td><code> [inline, virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>Gcd</b>(const Element &amp;a, const Element &amp;b) const  (defined in <a class="el" href="class_abstract_euclidean_domain.html">AbstractEuclideanDomain&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_euclidean_domain.html">AbstractEuclideanDomain&lt; T &gt;</a></td><td><code> [inline, virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>Identity</b>() const =0 (defined in <a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a></td><td><code> [pure virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>Inverse</b>(const Element &amp;a) const =0 (defined in <a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a></td><td><code> [pure virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>InversionIsFast</b>() const  (defined in <a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a></td><td><code> [inline, virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>IsUnit</b>(const Element &amp;a) const =0 (defined in <a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a></td><td><code> [pure virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>Mod</b>(const Element &amp;a, const Element &amp;b) const =0 (defined in <a class="el" href="class_abstract_euclidean_domain.html">AbstractEuclideanDomain&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_euclidean_domain.html">AbstractEuclideanDomain&lt; T &gt;</a></td><td><code> [inline, pure virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>MultiplicativeGroup</b>() const  (defined in <a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a></td><td><code> [inline, virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>MultiplicativeIdentity</b>() const =0 (defined in <a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a></td><td><code> [pure virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>MultiplicativeInverse</b>(const Element &amp;a) const =0 (defined in <a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a></td><td><code> [pure virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>Multiply</b>(const Element &amp;a, const Element &amp;b) const =0 (defined in <a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a></td><td><code> [pure virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>operator=</b>(const AbstractRing &amp;source) (defined in <a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a></td><td><code> [inline]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>Reduce</b>(Element &amp;a, const Element &amp;b) const  (defined in <a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a></td><td><code> [inline, virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>result</b> (defined in <a class="el" href="class_abstract_euclidean_domain.html">AbstractEuclideanDomain&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_euclidean_domain.html">AbstractEuclideanDomain&lt; T &gt;</a></td><td><code> [mutable, protected]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>ScalarMultiply</b>(const Element &amp;a, const Integer &amp;e) const  (defined in <a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a></td><td><code> [inline, virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>SimultaneousExponentiate</b>(Element *results, const Element &amp;base, const Integer *exponents, unsigned int exponentsCount) const  (defined in <a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a></td><td><code> [inline, virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>SimultaneousMultiply</b>(Element *results, const Element &amp;base, const Integer *exponents, unsigned int exponentsCount) const  (defined in <a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a></td><td><code> [inline, virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>Square</b>(const Element &amp;a) const  (defined in <a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_ring.html">AbstractRing&lt; T &gt;</a></td><td><code> [inline, virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>Subtract</b>(const Element &amp;a, const Element &amp;b) const  (defined in <a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a></td><td><code> [inline, virtual]</code></td></tr>
  <tr bgcolor="#f0f0f0"><td><b>~AbstractGroup</b>() (defined in <a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a>)</td><td><a class="el" href="class_abstract_group.html">AbstractGroup&lt; T &gt;</a></td><td><code> [inline, virtual]</code></td></tr>
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