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<span class="Comment">/*</span><span class="Comment">*************************************************************************\</span>
<span class="Comment">MODULE: vec_ZZ_pE</span>
<span class="Comment">SUMMARY:</span>
<span class="Comment">Provides vectors over ZZ_pE, along with some related operations.</span>
<span class="Comment">\*************************************************************************</span><span class="Comment">*/</span>
<span class="PreProc">#include </span><span class="String"><NTL/ZZ_pE.h></span>
<span class="PreProc">#include </span><span class="String"><NTL/vec_ZZ.h></span>
<span class="PreProc">#include </span><span class="String"><NTL/vector.h></span>
<span class="Type">typedef</span> Vec<ZZ_pE> vec_ZZ_pE; <span class="Comment">// backward compatibility</span>
<span class="Type">void</span> mul(vec_ZZ_pE& x, <span class="Type">const</span> vec_ZZ_pE& a, <span class="Type">const</span> ZZ_pE& b);
<span class="Type">void</span> mul(vec_ZZ_pE& x, <span class="Type">const</span> vec_ZZ_pE& a, <span class="Type">const</span> ZZ_p& b);
<span class="Type">void</span> mul(vec_ZZ_pE& x, <span class="Type">const</span> vec_ZZ_pE& a, <span class="Type">long</span> b);
<span class="Type">void</span> mul(vec_ZZ_pE& x, <span class="Type">const</span> ZZ_pE& a, <span class="Type">const</span> vec_ZZ_pE& b);
<span class="Type">void</span> mul(vec_ZZ_pE& x, <span class="Type">const</span> ZZ_p& a, <span class="Type">const</span> vec_ZZ_pE& b);
<span class="Type">void</span> mul(vec_ZZ_pE& x, <span class="Type">long</span> a, <span class="Type">const</span> vec_ZZ_pE& b);
<span class="Comment">// x = a * b</span>
<span class="Type">void</span> add(vec_ZZ_pE& x, <span class="Type">const</span> vec_ZZ_pE& a, <span class="Type">const</span> vec_ZZ_pE& b);
<span class="Comment">// x = a + b</span>
<span class="Type">void</span> sub(vec_ZZ_pE& x, <span class="Type">const</span> vec_ZZ_pE& a, <span class="Type">const</span> vec_ZZ_pE& b);
<span class="Comment">// x = a - b</span>
<span class="Type">void</span> clear(vec_ZZ_pE& x);
<span class="Comment">// x = 0 (length unchanged)</span>
<span class="Type">void</span> negate(vec_ZZ_pE& x, <span class="Type">const</span> vec_ZZ_pE& a);
<span class="Comment">// x = -a</span>
<span class="Type">long</span> IsZero(<span class="Type">const</span> vec_ZZ_pE& a);
<span class="Comment">// test if a is the zero vector</span>
<span class="Type">void</span> InnerProduct(ZZ_pE& x, <span class="Type">const</span> vec_ZZ_pE& a, <span class="Type">const</span> vec_ZZ_pE& b);
<span class="Comment">// x = sum_{i=0}^{n-1} a[i]*b[i], where n = min(a.length(),</span>
<span class="Comment">// b.length())</span>
<span class="Type">void</span> InnerProduct(ZZ_pE& x, <span class="Type">const</span> vec_ZZ_pE& a, <span class="Type">const</span> vec_ZZ_pE& 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_ZZ_pE& x, <span class="Type">const</span> vec_ZZ_pE& a, <span class="Type">long</span> n);
vec_ZZ_pE VectorCopy(<span class="Type">const</span> vec_ZZ_pE& 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_ZZ_pE& x, <span class="Type">long</span> n); <span class="Comment">// x = random vector of length n</span>
vec_ZZ_pE random_vec_ZZ_pE(<span class="Type">long</span> n);
<span class="Comment">// operator notation:</span>
vec_ZZ_pE <span class="Statement">operator</span>+(<span class="Type">const</span> vec_ZZ_pE& a, <span class="Type">const</span> vec_ZZ_pE& b);
vec_ZZ_pE <span class="Statement">operator</span>-(<span class="Type">const</span> vec_ZZ_pE& a, <span class="Type">const</span> vec_ZZ_pE& b);
vec_ZZ_pE <span class="Statement">operator</span>-(<span class="Type">const</span> vec_ZZ_pE& a);
<span class="Comment">// vector/scalar multiplication:</span>
vec_ZZ_pE <span class="Statement">operator</span>*(<span class="Type">const</span> vec_ZZ_pE& a, <span class="Type">const</span> ZZ_pE& b);
vec_ZZ_pE <span class="Statement">operator</span>*(<span class="Type">const</span> vec_ZZ_pE& a, <span class="Type">const</span> ZZ_p& b);
vec_ZZ_pE <span class="Statement">operator</span>*(<span class="Type">const</span> vec_ZZ_pE& a, <span class="Type">long</span> b);
vec_ZZ_pE <span class="Statement">operator</span>*(<span class="Type">const</span> ZZ_pE& a, <span class="Type">const</span> vec_ZZ_pE& b);
vec_ZZ_pE <span class="Statement">operator</span>*(<span class="Type">const</span> ZZ_p& a, <span class="Type">const</span> vec_ZZ_pE& b);
vec_ZZ_pE <span class="Statement">operator</span>*(<span class="Type">long</span> a, <span class="Type">const</span> vec_ZZ_pE& b);
<span class="Comment">// inner product:</span>
ZZ_pE <span class="Statement">operator</span>*(<span class="Type">const</span> vec_ZZ_pE& a, <span class="Type">const</span> vec_ZZ_pE& b);
<span class="Comment">// assignment operator notation:</span>
vec_ZZ_pE& <span class="Statement">operator</span>+=(vec_ZZ_pE& x, <span class="Type">const</span> vec_ZZ_pE& a);
vec_ZZ_pE& <span class="Statement">operator</span>-=(vec_ZZ_pE& x, <span class="Type">const</span> vec_ZZ_pE& a);
vec_ZZ_pE& <span class="Statement">operator</span>*=(vec_ZZ_pE& x, <span class="Type">const</span> ZZ_pE& a);
vec_ZZ_pE& <span class="Statement">operator</span>*=(vec_ZZ_pE& x, <span class="Type">const</span> ZZ_p& a);
vec_ZZ_pE& <span class="Statement">operator</span>*=(vec_ZZ_pE& x, <span class="Type">long</span> a);
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