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<span class="Comment">/*</span><span class="Comment">*************************************************************************\</span>
<span class="Comment">MODULE: vec_ZZ</span>
<span class="Comment">SUMMARY:</span>
<span class="Comment">Defines the class vec_ZZ.</span>
<span class="Comment">\*************************************************************************</span><span class="Comment">*/</span>
<span class="Type">typedef</span> Vec<ZZ> vec_ZZ; <span class="Comment">// backward compatibility</span>
<span class="Type">void</span> mul(vec_ZZ& x, <span class="Type">const</span> vec_ZZ& a, <span class="Type">const</span> ZZ& b);
<span class="Type">void</span> mul(vec_ZZ& x, <span class="Type">const</span> vec_ZZ& a, <span class="Type">long</span> b);
<span class="Type">void</span> mul(vec_ZZ& x, <span class="Type">const</span> ZZ& a, <span class="Type">const</span> vec_ZZ& b);
<span class="Type">void</span> mul(vec_ZZ& x, <span class="Type">long</span> a, <span class="Type">const</span> vec_ZZ& b);
<span class="Comment">// x = a * b</span>
<span class="Type">void</span> add(vec_ZZ& x, <span class="Type">const</span> vec_ZZ& a, <span class="Type">const</span> vec_ZZ& b);
<span class="Comment">// x = a + b</span>
<span class="Type">void</span> sub(vec_ZZ& x, <span class="Type">const</span> vec_ZZ& a, <span class="Type">const</span> vec_ZZ& b);
<span class="Comment">// x = a - b</span>
<span class="Type">void</span> clear(vec_ZZ& x);
<span class="Comment">// x = 0 (length unchanged)</span>
<span class="Type">void</span> negate(vec_ZZ& x, <span class="Type">const</span> vec_ZZ& a);
<span class="Comment">// x = -a</span>
<span class="Type">long</span> IsZero(<span class="Type">const</span> vec_ZZ& a);
<span class="Comment">// test if a is the zero vector</span>
<span class="Type">void</span> InnerProduct(ZZ& x, <span class="Type">const</span> vec_ZZ& a, <span class="Type">const</span> vec_ZZ& b);
<span class="Comment">// x = inner product of a and b, padded with zeros to make the lengths</span>
<span class="Comment">// even.</span>
<span class="Type">void</span> VectorCopy(vec_ZZ& x, <span class="Type">const</span> vec_ZZ& a, <span class="Type">long</span> n);
vec_ZZ VectorCopy(<span class="Type">const</span> vec_ZZ& 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="Comment">// operator notation:</span>
vec_ZZ <span class="Statement">operator</span>+(<span class="Type">const</span> vec_ZZ& a, <span class="Type">const</span> vec_ZZ& b);
vec_ZZ <span class="Statement">operator</span>-(<span class="Type">const</span> vec_ZZ& a, <span class="Type">const</span> vec_ZZ& b);
vec_ZZ <span class="Statement">operator</span>-(<span class="Type">const</span> vec_ZZ& a);
<span class="Comment">// vector/scalar multiplication:</span>
vec_ZZ <span class="Statement">operator</span>*(<span class="Type">const</span> vec_ZZ& a, <span class="Type">const</span> ZZ& b);
vec_ZZ <span class="Statement">operator</span>*(<span class="Type">const</span> vec_ZZ& a, <span class="Type">long</span> b);
vec_ZZ <span class="Statement">operator</span>*(<span class="Type">const</span> ZZ& a, <span class="Type">const</span> vec_ZZ& b);
vec_ZZ <span class="Statement">operator</span>*(<span class="Type">long</span> a, <span class="Type">const</span> vec_ZZ& b);
<span class="Comment">// inner product:</span>
ZZ <span class="Statement">operator</span>*(<span class="Type">const</span> vec_ZZ& a, <span class="Type">const</span> vec_ZZ& b);
<span class="Comment">// assignment operator notation:</span>
vec_ZZ& <span class="Statement">operator</span>+=(vec_ZZ& x, <span class="Type">const</span> vec_ZZ& a);
vec_ZZ& <span class="Statement">operator</span>-=(vec_ZZ& x, <span class="Type">const</span> vec_ZZ& a);
vec_ZZ& <span class="Statement">operator</span>*=(vec_ZZ& x, <span class="Type">const</span> ZZ& a);
vec_ZZ& <span class="Statement">operator</span>*=(vec_ZZ& x, <span class="Type">long</span> a);
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