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<span class="Comment">/*</span><span class="Comment">*************************************************************************\</span>
<span class="Comment">MODULE: vec_GF2E</span>
<span class="Comment">SUMMARY:</span>
<span class="Comment">Provides vectors over GF2E, along with some related operations.</span>
<span class="Comment">\*************************************************************************</span><span class="Comment">*/</span>
<span class="PreProc">#include </span><span class="String"><NTL/GF2E.h></span>
<span class="PreProc">#include </span><span class="String"><NTL/vector.h></span>
<span class="Type">typedef</span> Vec<GF2E> vec_GF2E; <span class="Comment">// backward compatibility</span>
<span class="Type">void</span> mul(vec_GF2E& x, <span class="Type">const</span> vec_GF2E& a, <span class="Type">const</span> GF2E& b);
<span class="Type">void</span> mul(vec_GF2E& x, <span class="Type">const</span> vec_GF2E& a, GF2 b);
<span class="Type">void</span> mul(vec_GF2E& x, <span class="Type">const</span> vec_GF2E& a, <span class="Type">long</span> b);
<span class="Type">void</span> mul(vec_GF2E& x, <span class="Type">const</span> GF2E& a, <span class="Type">const</span> vec_GF2E& b);
<span class="Type">void</span> mul(vec_GF2E& x, GF2 a, <span class="Type">const</span> vec_GF2E& b);
<span class="Type">void</span> mul(vec_GF2E& x, <span class="Type">long</span> a, <span class="Type">const</span> vec_GF2E& b);
<span class="Comment">// x = a * b</span>
<span class="Type">void</span> add(vec_GF2E& x, <span class="Type">const</span> vec_GF2E& a, <span class="Type">const</span> vec_GF2E& b);
<span class="Comment">// x = a + b</span>
<span class="Type">void</span> sub(vec_GF2E& x, <span class="Type">const</span> vec_GF2E& a, <span class="Type">const</span> vec_GF2E& b);
<span class="Comment">// x = a - b = x + a</span>
<span class="Type">void</span> negate(vec_GF2E& x, <span class="Type">const</span> vec_GF2E& a);
<span class="Comment">// x = - a = a</span>
<span class="Type">void</span> clear(vec_GF2E& x);
<span class="Comment">// x = 0 (length unchanged)</span>
<span class="Type">long</span> IsZero(<span class="Type">const</span> vec_GF2E& a);
<span class="Comment">// test if a is the zero vector</span>
<span class="Type">void</span> InnerProduct(GF2E& x, <span class="Type">const</span> vec_GF2E& a, <span class="Type">const</span> vec_GF2E& b);
<span class="Comment">// x = sum_{i=0}^{n-1} a[i]*b[i], where n = min(a.length(), b.length())</span>
<span class="Type">void</span> InnerProduct(GF2E& x, <span class="Type">const</span> vec_GF2E& a, <span class="Type">const</span> vec_GF2E& b,
<span class="Type">long</span> offset);
<span class="Comment">// x = sum_{i=offset}^{n-1} a[i]*b[i-offset], where n = min(a.length(),</span>
<span class="Comment">// b.length()+offset)</span>
<span class="Type">void</span> VectorCopy(vec_GF2E& x, <span class="Type">const</span> vec_GF2E& a, <span class="Type">long</span> n);
vec_GF2E VectorCopy(<span class="Type">const</span> vec_GF2E& a, <span class="Type">long</span> n);
<span class="Comment">// x = a copy of a of length exactly n.</span>
<span class="Comment">// The input is truncated or padded with zeroes, as necessary.</span>
<span class="Type">void</span> random(vec_GF2E& x, <span class="Type">long</span> n); <span class="Comment">// x = random vector of length n</span>
vec_GF2E random_vec_GF2E(<span class="Type">long</span> n);
<span class="Comment">// operator notation:</span>
vec_GF2E
<span class="Statement">operator</span>+(<span class="Type">const</span> vec_GF2E& a, <span class="Type">const</span> vec_GF2E& b);
vec_GF2E
<span class="Statement">operator</span>-(<span class="Type">const</span> vec_GF2E& a, <span class="Type">const</span> vec_GF2E& b);
vec_GF2E <span class="Statement">operator</span>-(<span class="Type">const</span> vec_GF2E& a);
<span class="Comment">// vector/scalar multiplication:</span>
vec_GF2E <span class="Statement">operator</span>*(<span class="Type">const</span> vec_GF2E& a, <span class="Type">const</span> GF2E& b);
vec_GF2E <span class="Statement">operator</span>*(<span class="Type">const</span> vec_GF2E& a, GF2 b);
vec_GF2E <span class="Statement">operator</span>*(<span class="Type">const</span> vec_GF2E& a, <span class="Type">long</span> b);
vec_GF2E <span class="Statement">operator</span>*(<span class="Type">const</span> GF2E& a, <span class="Type">const</span> vec_GF2E& b);
vec_GF2E <span class="Statement">operator</span>*(GF2 a, <span class="Type">const</span> vec_GF2E& b);
vec_GF2E <span class="Statement">operator</span>*(<span class="Type">long</span> a, <span class="Type">const</span> vec_GF2E& b);
<span class="Comment">// inner product:</span>
GF2E <span class="Statement">operator</span>*(<span class="Type">const</span> vec_GF2E& a, <span class="Type">const</span> vec_GF2E& b);
<span class="Comment">// assignment operator notation:</span>
vec_GF2E& <span class="Statement">operator</span>+=(vec_GF2E& x, <span class="Type">const</span> vec_GF2E& a);
vec_GF2E& <span class="Statement">operator</span>-=(vec_GF2E& x, <span class="Type">const</span> vec_GF2E& a);
vec_GF2E& <span class="Statement">operator</span>*=(vec_GF2E& x, <span class="Type">const</span> GF2E& a);
vec_GF2E& <span class="Statement">operator</span>*=(vec_GF2E& x, GF2 a);
vec_GF2E& <span class="Statement">operator</span>*=(vec_GF2E& x, <span class="Type">long</span> a);
<span class="Comment">// Implementation note: the BlockConstruct routine has been customized</span>
<span class="Comment">// for GF2E so that when a vec_GF2E is grown, space for the needed</span>
<span class="Comment">// elements is allocated in one contiguous chunk. This saves on calls to</span>
<span class="Comment">// malloc and free, and should also yield better locality of reference.</span>
<span class="Comment">// One consequence of this is that swapping an element of a vec_GF2E</span>
<span class="Comment">// with another GF2E can not be implemented by pointer swap, and will in</span>
<span class="Comment">// this case be done by copy.</span>
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