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<h3>
Raymond Toy pushed to branch rtoy-bignum-mult-less-consing
at <a href="https://gitlab.common-lisp.net/cmucl/cmucl">cmucl / cmucl</a>
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<h4>
Commits:
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<strong><a href="https://gitlab.common-lisp.net/cmucl/cmucl/commit/d652bd096516a2217e9c273da88ae9c63386a743">d652bd09</a></strong>
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<span>by Raymond Toy</span>
<i>at 2018-07-04T13:31:21-07:00</i>
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<pre class="commit-message" style="white-space: pre-wrap; margin: 0;">Rename functions to use the new version by default.
Update tests to reflect the change in names.
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<h4>2 changed files:</h4>
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src/code/bignum.lisp
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tests/bignum.lisp
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<h4>Changes:</h4>
<li id="11a9b42e91bb9492da3b5ba9d84c4a7c659dfacb">
<a href="https://gitlab.common-lisp.net/cmucl/cmucl/commit/d652bd096516a2217e9c273da88ae9c63386a743#11a9b42e91bb9492da3b5ba9d84c4a7c659dfacb"><strong>src/code/bignum.lisp</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -884,7 +884,12 @@ down to individual words.")</td>
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<pre style="margin: 0;"> <span id="LC884" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">negate-bignum-in-place</span> <span class="nv" style="color: teal;">result</span><span class="p">))</span></span>
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<pre style="margin: 0;"> <span id="LC885" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">%normalize-bignum</span> <span class="nv" style="color: teal;">result</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">1+</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">*</span> <span class="mi" style="color: #099;">2</span> <span class="nv" style="color: teal;">n</span><span class="p">))))))))</span></span>
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886
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<pre style="margin: 0;"> <span id="LC886" class="line" lang="common_lisp"></span>
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<pre style="margin: 0;">-<span id="LC887" class="line" lang="common_lisp"><span class="p">(</span><span class="nb" style="color: #0086b3;">defun</span> <span class="nv" style="color: teal;">classical-multiply-bignums</span> <span class="p">(</span><span class="nv" style="color: teal;">a</span> <span class="nv" style="color: teal;">b</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC887" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; Bignum multiply using Knuth's algorithm. We keep this around for</span></span>
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<pre style="margin: 0;">+<span id="LC888" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; now so we can compare the new algorithm against this to make sure</span></span>
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<pre style="margin: 0;">+<span id="LC889" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; this are working.</span></span>
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<pre style="margin: 0;">+<span id="LC890" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;;</span></span>
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<pre style="margin: 0;">+<span id="LC891" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; TODO: Remove this eventually?</span></span>
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<pre style="margin: 0;">+<span id="LC892" class="line" lang="common_lisp"><span class="p">(</span><span class="nb" style="color: #0086b3;">defun</span> <span class="nv" style="color: teal;">classical-multiply-bignums-knuth</span> <span class="p">(</span><span class="nv" style="color: teal;">a</span> <span class="nv" style="color: teal;">b</span><span class="p">)</span></span>
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893
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<pre style="margin: 0;"> <span id="LC893" class="line" lang="common_lisp"> <span class="p">(</span><span class="k" style="font-weight: 600;">declare</span> <span class="p">(</span><span class="k" style="font-weight: 600;">type</span> <span class="nv" style="color: teal;">bignum-type</span> <span class="nv" style="color: teal;">a</span> <span class="nv" style="color: teal;">b</span><span class="p">))</span></span>
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889
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<pre style="margin: 0;"> <span id="LC894" class="line" lang="common_lisp"> <span class="p">(</span><span class="k" style="font-weight: 600;">let*</span> <span class="p">((</span><span class="nv" style="color: teal;">a-plusp</span> <span class="p">(</span><span class="nv" style="color: teal;">%bignum-0-or-plusp</span> <span class="nv" style="color: teal;">a</span> <span class="p">(</span><span class="nv" style="color: teal;">%bignum-length</span> <span class="nv" style="color: teal;">a</span><span class="p">)))</span></span>
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<pre style="margin: 0;"> <span id="LC895" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">b-plusp</span> <span class="p">(</span><span class="nv" style="color: teal;">%bignum-0-or-plusp</span> <span class="nv" style="color: teal;">b</span> <span class="p">(</span><span class="nv" style="color: teal;">%bignum-length</span> <span class="nv" style="color: teal;">b</span><span class="p">)))</span></span>
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<td class="diff-line-num unfold js-unfold new_line" data-linenumber="921" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -916,16 +921,29 @@ down to individual words.")</td>
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916
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<pre style="margin: 0;"> <span id="LC921" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">when</span> <span class="nv" style="color: teal;">negate-res</span> <span class="p">(</span><span class="nv" style="color: teal;">negate-bignum-in-place</span> <span class="nv" style="color: teal;">res</span><span class="p">))</span></span>
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917
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<pre style="margin: 0;"> <span id="LC922" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">%normalize-bignum</span> <span class="nv" style="color: teal;">res</span> <span class="nv" style="color: teal;">len-res</span><span class="p">)))</span></span>
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918
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<pre style="margin: 0;"> <span id="LC923" class="line" lang="common_lisp"></span>
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<pre style="margin: 0;">-<span id="LC919" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; Pretend the bignums are actually unsigned, do an unsigned multiply</span></span>
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<pre style="margin: 0;">-<span id="LC920" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; and then correct the result. This is based on the algorithm in</span></span>
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<pre style="margin: 0;">-<span id="LC921" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; Hacker's Delight.</span></span>
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<pre style="margin: 0;">-<span id="LC922" class="line" lang="common_lisp"><span class="p">(</span><span class="nb" style="color: #0086b3;">defun</span> <span class="nv" style="color: teal;">classical-multiply-bignum-hd</span> <span class="p">(</span><span class="nv" style="color: teal;">a</span> <span class="nv" style="color: teal;">b</span><span class="p">)</span></span>
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<pre style="margin: 0;">+<span id="LC924" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; Classical multiplication of bignums using Knuth's algorithm</span></span>
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<pre style="margin: 0;">+<span id="LC925" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; modified to handle signed bignums. Pretend the bignums are</span></span>
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<pre style="margin: 0;">+<span id="LC926" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; actually unsigned, do an unsigned multiply and then correct the</span></span>
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927
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<pre style="margin: 0;">+<span id="LC927" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; result. This is based on the algorithm in Hacker's Delight.</span></span>
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928
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<pre style="margin: 0;">+<span id="LC928" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;;</span></span>
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929
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<pre style="margin: 0;">+<span id="LC929" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; Let a[n] and b[n] represent the individual bits of each bignum with</span></span>
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<pre style="margin: 0;">+<span id="LC930" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; M being the number of bits in a and N being the number of bits in</span></span>
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<pre style="margin: 0;">+<span id="LC931" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; b. If these are interpreted as an unsigned number, then we are</span></span>
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<pre style="margin: 0;">+<span id="LC932" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; multiplying numbers</span></span>
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933
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<pre style="margin: 0;">+<span id="LC933" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;;</span></span>
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<pre style="margin: 0;">+<span id="LC934" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; (a + 2^M*a[M-1})*(b + 2^N*b[N-1])</span></span>
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935
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<pre style="margin: 0;">+<span id="LC935" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; = a*b + 2^M*u[M-1]*b + 2^N*b[N-1]*a + 2^(M+N)*a[M-1]*b[M-1]</span></span>
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936
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<pre style="margin: 0;">+<span id="LC936" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;;</span></span>
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<pre style="margin: 0;">+<span id="LC937" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; To get the desired result, we need to subtract out the term</span></span>
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938
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<pre style="margin: 0;">+<span id="LC938" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; 2^M*u[M-1]*b + 2^N*b[N-1]*a from the product. The last term</span></span>
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939
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<pre style="margin: 0;">+<span id="LC939" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; doesn't need to subtracted because we know the product fits in M+N</span></span>
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<pre style="margin: 0;">+<span id="LC940" class="line" lang="common_lisp"><span class="c1" style="color: #998; font-style: italic;">;; bits and this term is beyond that.</span></span>
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941
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<pre style="margin: 0;">+<span id="LC941" class="line" lang="common_lisp"><span class="p">(</span><span class="nb" style="color: #0086b3;">defun</span> <span class="nv" style="color: teal;">classical-multiply-bignums</span> <span class="p">(</span><span class="nv" style="color: teal;">a</span> <span class="nv" style="color: teal;">b</span><span class="p">)</span></span>
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923
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942
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<pre style="margin: 0;"> <span id="LC942" class="line" lang="common_lisp"> <span class="p">(</span><span class="k" style="font-weight: 600;">declare</span> <span class="p">(</span><span class="k" style="font-weight: 600;">type</span> <span class="nv" style="color: teal;">bignum-type</span> <span class="nv" style="color: teal;">a</span> <span class="nv" style="color: teal;">b</span><span class="p">))</span></span>
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943
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<pre style="margin: 0;"> <span id="LC943" class="line" lang="common_lisp"> <span class="p">(</span><span class="k" style="font-weight: 600;">let*</span> <span class="p">((</span><span class="nv" style="color: teal;">len-a</span> <span class="p">(</span><span class="nv" style="color: teal;">%bignum-length</span> <span class="nv" style="color: teal;">a</span><span class="p">))</span></span>
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925
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<td class="diff-line-num new_line" data-linenumber="944" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
944
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<pre style="margin: 0;"> <span id="LC944" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">len-b</span> <span class="p">(</span><span class="nv" style="color: teal;">%bignum-length</span> <span class="nv" style="color: teal;">b</span><span class="p">))</span></span>
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<td class="diff-line-num old_line" data-linenumber="926" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
926
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<td class="diff-line-num new_line" data-linenumber="945" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
945
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<pre style="margin: 0;"> <span id="LC945" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">len-res</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">+</span> <span class="nv" style="color: teal;">len-a</span> <span class="nv" style="color: teal;">len-b</span><span class="p">))</span></span>
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<td class="diff-line-num old_line" data-linenumber="927" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
927
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<td class="diff-line-num new_line" data-linenumber="946" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
946
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<pre style="margin: 0;"> <span id="LC946" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">res</span> <span class="p">(</span><span class="nv" style="color: teal;">%allocate-bignum</span> <span class="nv" style="color: teal;">len-res</span><span class="p">)))</span></span>
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<td class="diff-line-num old old_line" data-linenumber="928" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
928
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<td class="diff-line-num new_line old" data-linenumber="947" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC928" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">negate-res</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">not</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">eq</span> <span class="nv" style="color: teal;">a-plusp</span> <span class="nv" style="color: teal;">b-plusp</span><span class="p">))))</span></span>
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<td class="diff-line-num old_line" data-linenumber="929" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
929
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<td class="diff-line-num new_line" data-linenumber="947" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
947
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<pre style="margin: 0;"> <span id="LC947" class="line" lang="common_lisp"> <span class="p">(</span><span class="k" style="font-weight: 600;">declare</span> <span class="p">(</span><span class="k" style="font-weight: 600;">type</span> <span class="nv" style="color: teal;">bignum-index</span> <span class="nv" style="color: teal;">len-a</span> <span class="nv" style="color: teal;">len-b</span> <span class="nv" style="color: teal;">len-res</span><span class="p">))</span></span>
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<td class="diff-line-num old_line" data-linenumber="930" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
930
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<td class="diff-line-num new_line" data-linenumber="948" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
948
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<pre style="margin: 0;"> <span id="LC948" class="line" lang="common_lisp"> <span class="c1" style="color: #998; font-style: italic;">;; Unsigned multiply</span></span>
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<td class="diff-line-num old_line" data-linenumber="931" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
931
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<td class="diff-line-num new_line" data-linenumber="949" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
949
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<pre style="margin: 0;"> <span id="LC949" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">dotimes</span> <span class="p">(</span><span class="nv" style="color: teal;">i</span> <span class="nv" style="color: teal;">len-a</span><span class="p">)</span></span>
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<td class="diff-line-num unfold js-unfold old_line" data-linenumber="937" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="diff-line-num unfold js-unfold new_line" data-linenumber="955" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">...</td>
<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -937,36 +955,39 @@ down to individual words.")</td>
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<td class="diff-line-num old_line" data-linenumber="937" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
937
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<td class="diff-line-num new_line" data-linenumber="955" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
955
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<pre style="margin: 0;"> <span id="LC955" class="line" lang="common_lisp"> <span class="p">(</span><span class="k" style="font-weight: 600;">type</span> <span class="nv" style="color: teal;">bignum-element-type</span> <span class="nv" style="color: teal;">carry-digit</span> <span class="nv" style="color: teal;">x</span><span class="p">))</span></span>
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<td class="diff-line-num old_line" data-linenumber="938" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
938
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<td class="diff-line-num new_line" data-linenumber="956" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
956
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<pre style="margin: 0;"> <span id="LC956" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">dotimes</span> <span class="p">(</span><span class="nv" style="color: teal;">j</span> <span class="nv" style="color: teal;">len-b</span><span class="p">)</span></span>
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<td class="diff-line-num old_line" data-linenumber="939" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
939
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<td class="diff-line-num new_line" data-linenumber="957" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
957
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<pre style="margin: 0;"> <span id="LC957" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">multiple-value-bind</span> <span class="p">(</span><span class="nv" style="color: teal;">big-carry</span> <span class="nv" style="color: teal;">res-digit</span><span class="p">)</span></span>
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<td class="diff-line-num old old_line" data-linenumber="940" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
940
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<td class="diff-line-num new_line old" data-linenumber="958" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC940" class="line" lang="common_lisp"> <span class="idiff left right"> </span> <span class="p">(</span><span class="nv" style="color: teal;">%multiply-and-add</span> <span class="nv" style="color: teal;">x</span> <span class="p">(</span><span class="nv" style="color: teal;">%bignum-ref</span> <span class="nv" style="color: teal;">b</span> <span class="nv" style="color: teal;">j</span><span class="p">)</span></span>
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<td class="diff-line-num old old_line" data-linenumber="941" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
941
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<td class="diff-line-num new_line old" data-linenumber="958" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC941" class="line" lang="common_lisp"> <span class="idiff left right"> </span> <span class="p">(</span><span class="nv" style="color: teal;">%bignum-ref</span> <span class="nv" style="color: teal;">res</span> <span class="nv" style="color: teal;">k</span><span class="p">)</span></span>
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<td class="diff-line-num old old_line" data-linenumber="942" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
942
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<td class="diff-line-num new_line old" data-linenumber="958" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC942" class="line" lang="common_lisp"> <span class="idiff left right"> </span> <span class="nv" style="color: teal;">carry-digit</span><span class="p">)</span></span>
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<td class="diff-line-num new old_line" data-linenumber="943" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
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<td class="diff-line-num new new_line" data-linenumber="958" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
958
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<pre style="margin: 0;">+<span id="LC958" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">%multiply-and-add</span> <span class="nv" style="color: teal;">x</span> <span class="p">(</span><span class="nv" style="color: teal;">%bignum-ref</span> <span class="nv" style="color: teal;">b</span> <span class="nv" style="color: teal;">j</span><span class="p">)</span></span>
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<td class="diff-line-num new old_line" data-linenumber="943" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
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<td class="diff-line-num new new_line" data-linenumber="959" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
959
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<pre style="margin: 0;">+<span id="LC959" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">%bignum-ref</span> <span class="nv" style="color: teal;">res</span> <span class="nv" style="color: teal;">k</span><span class="p">)</span></span>
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<td class="diff-line-num new old_line" data-linenumber="943" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
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<td class="diff-line-num new new_line" data-linenumber="960" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
960
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<pre style="margin: 0;">+<span id="LC960" class="line" lang="common_lisp"> <span class="nv" style="color: teal;">carry-digit</span><span class="p">)</span></span>
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<td class="diff-line-num old_line" data-linenumber="943" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
943
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<td class="diff-line-num new_line" data-linenumber="961" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
961
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<pre style="margin: 0;"> <span id="LC961" class="line" lang="common_lisp"> <span class="p">(</span><span class="k" style="font-weight: 600;">declare</span> <span class="p">(</span><span class="k" style="font-weight: 600;">type</span> <span class="nv" style="color: teal;">bignum-element-type</span> <span class="nv" style="color: teal;">big-carry</span> <span class="nv" style="color: teal;">res-digit</span><span class="p">))</span></span>
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<td class="diff-line-num old_line" data-linenumber="944" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
944
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<td class="diff-line-num new_line" data-linenumber="962" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
962
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<pre style="margin: 0;"> <span id="LC962" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">setf</span> <span class="p">(</span><span class="nv" style="color: teal;">%bignum-ref</span> <span class="nv" style="color: teal;">res</span> <span class="nv" style="color: teal;">k</span><span class="p">)</span> <span class="nv" style="color: teal;">res-digit</span><span class="p">)</span></span>
</pre>
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<td class="diff-line-num old_line" data-linenumber="945" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
945
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<td class="diff-line-num new_line" data-linenumber="963" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
963
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<pre style="margin: 0;"> <span id="LC963" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">setf</span> <span class="nv" style="color: teal;">carry-digit</span> <span class="nv" style="color: teal;">big-carry</span><span class="p">)</span></span>
</pre>
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<td class="diff-line-num old_line" data-linenumber="946" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
946
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<td class="diff-line-num new_line" data-linenumber="964" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
964
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<pre style="margin: 0;"> <span id="LC964" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">incf</span> <span class="nv" style="color: teal;">k</span><span class="p">)))</span></span>
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947
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<td class="diff-line-num new_line" data-linenumber="965" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
965
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<pre style="margin: 0;"> <span id="LC965" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">setf</span> <span class="p">(</span><span class="nv" style="color: teal;">%bignum-ref</span> <span class="nv" style="color: teal;">res</span> <span class="nv" style="color: teal;">k</span><span class="p">)</span> <span class="nv" style="color: teal;">carry-digit</span><span class="p">)))</span></span>
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<td class="diff-line-num old_line" data-linenumber="948" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
948
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<td class="diff-line-num new_line" data-linenumber="966" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
966
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<pre style="margin: 0;"> <span id="LC966" class="line" lang="common_lisp"> <span class="c1" style="color: #998; font-style: italic;">;; Apply corrections if either of the arguments is negative.</span></span>
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949
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<td class="diff-line-num new_line old" data-linenumber="967" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC949" class="line" lang="common_lisp"> <span class="c1" style="color: #998; font-style: italic;">;; If a < 0, subtract b*2^M from the result</span></span>
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950
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<td class="diff-line-num new_line old" data-linenumber="967" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC950" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">unless</span><span class="p">(</span><span class="nv" style="color: teal;">%bignum-0-or-plusp</span> <span class="nv" style="color: teal;">a</span><span class="p">)</span></span>
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<td class="diff-line-num new old_line" data-linenumber="951" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
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<td class="diff-line-num new new_line" data-linenumber="967" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
967
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<pre style="margin: 0;">+<span id="LC967" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">unless</span> <span class="p">(</span><span class="nv" style="color: teal;">%bignum-0-or-plusp</span> <span class="nv" style="color: teal;">a</span> <span class="nv" style="color: teal;">len-a</span><span class="p">)</span></span>
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<td class="diff-line-num old_line" data-linenumber="951" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
951
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<td class="diff-line-num new_line" data-linenumber="968" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
968
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<pre style="margin: 0;"> <span id="LC968" class="line" lang="common_lisp"> <span class="p">(</span><span class="k" style="font-weight: 600;">let</span> <span class="p">((</span><span class="nv" style="color: teal;">borrow</span> <span class="mi" style="color: #099;">1</span><span class="p">))</span></span>
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952
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<td class="diff-line-num new_line" data-linenumber="969" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
969
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<pre style="margin: 0;"> <span id="LC969" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">dotimes</span> <span class="p">(</span><span class="nv" style="color: teal;">j</span> <span class="nv" style="color: teal;">len-b</span><span class="p">)</span></span>
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<td class="diff-line-num new new_line" data-linenumber="970" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
970
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<pre style="margin: 0;">+<span id="LC970" class="line" lang="common_lisp"> <span class="p">(</span><span class="k" style="font-weight: 600;">declare</span> <span class="p">(</span><span class="k" style="font-weight: 600;">type</span> <span class="nv" style="color: teal;">bignum-index</span> <span class="nv" style="color: teal;">j</span><span class="p">))</span></span>
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953
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<td class="diff-line-num new_line" data-linenumber="971" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
971
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<pre style="margin: 0;"> <span id="LC971" class="line" lang="common_lisp"> <span class="p">(</span><span class="k" style="font-weight: 600;">let</span> <span class="p">((</span><span class="nv" style="color: teal;">index</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">+</span> <span class="nv" style="color: teal;">j</span> <span class="nv" style="color: teal;">len-a</span><span class="p">)))</span></span>
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<td class="diff-line-num new old_line" data-linenumber="954" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
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<td class="diff-line-num new new_line" data-linenumber="972" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
972
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<pre style="margin: 0;">+<span id="LC972" class="line" lang="common_lisp"> <span class="p">(</span><span class="k" style="font-weight: 600;">declare</span> <span class="p">(</span><span class="k" style="font-weight: 600;">type</span> <span class="nv" style="color: teal;">bignum-index</span> <span class="nv" style="color: teal;">index</span><span class="p">))</span></span>
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954
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<td class="diff-line-num new_line" data-linenumber="973" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
973
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<pre style="margin: 0;"> <span id="LC973" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">multiple-value-bind</span> <span class="p">(</span><span class="nv" style="color: teal;">d</span> <span class="nv" style="color: teal;">borrow-out</span><span class="p">)</span></span>
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955
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<td class="diff-line-num new_line old" data-linenumber="974" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC955" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">%subtract-with-borrow</span> <span class="p">(</span><span class="nv" style="color: teal;">bignum-ref</span> <span class="nv" style="color: teal;">res</span> <span class="nv" style="color: teal;">index</span><span class="p">)</span></span>
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956
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<td class="diff-line-num new_line old" data-linenumber="974" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC956" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">bignum-ref</span> <span class="nv" style="color: teal;">b</span> <span class="nv" style="color: teal;">j</span><span class="p">)</span></span>
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<td class="diff-line-num new old_line" data-linenumber="957" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
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<td class="diff-line-num new new_line" data-linenumber="974" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
974
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<pre style="margin: 0;">+<span id="LC974" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">%subtract-with-borrow</span> <span class="p">(</span><span class="nv" style="color: teal;"><span class="idiff left right">%</span>bignum-ref</span> <span class="nv" style="color: teal;">res</span> <span class="nv" style="color: teal;">index</span><span class="p">)</span></span>
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<td class="diff-line-num new old_line" data-linenumber="957" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
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<td class="diff-line-num new new_line" data-linenumber="975" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
975
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<pre style="margin: 0;">+<span id="LC975" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;"><span class="idiff left right">%</span>bignum-ref</span> <span class="nv" style="color: teal;">b</span> <span class="nv" style="color: teal;">j</span><span class="p">)</span></span>
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957
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<td class="diff-line-num new_line" data-linenumber="976" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
976
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<pre style="margin: 0;"> <span id="LC976" class="line" lang="common_lisp"> <span class="nv" style="color: teal;">borrow</span><span class="p">)</span></span>
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<td class="diff-line-num old old_line" data-linenumber="958" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
958
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<td class="diff-line-num new_line old" data-linenumber="977" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC958" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">setf</span> <span class="p">(</span><span class="nv" style="color: teal;">bignum-ref</span> <span class="nv" style="color: teal;">res</span> <span class="nv" style="color: teal;">index</span><span class="p">)</span> <span class="nv" style="color: teal;">d</span><span class="p">)</span></span>
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<td class="diff-line-num new old_line" data-linenumber="959" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
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<td class="diff-line-num new new_line" data-linenumber="977" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
977
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<pre style="margin: 0;">+<span id="LC977" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">setf</span> <span class="p">(</span><span class="nv" style="color: teal;"><span class="idiff left right">%</span>bignum-ref</span> <span class="nv" style="color: teal;">res</span> <span class="nv" style="color: teal;">index</span><span class="p">)</span> <span class="nv" style="color: teal;">d</span><span class="p">)</span></span>
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959
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<td class="diff-line-num new_line" data-linenumber="978" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
978
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<pre style="margin: 0;"> <span id="LC978" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">setf</span> <span class="nv" style="color: teal;">borrow</span> <span class="nv" style="color: teal;">borrow-out</span><span class="p">))))))</span></span>
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<td class="diff-line-num old old_line" data-linenumber="960" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
960
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<td class="diff-line-num new_line old" data-linenumber="979" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC960" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">unless</span> <span class="p">(</span><span class="nv" style="color: teal;">%bignum-0-or-plusp</span> <span class="nv" style="color: teal;">b</span><span class="p">)</span></span>
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979
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<pre style="margin: 0;">+<span id="LC979" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">unless</span> <span class="p">(</span><span class="nv" style="color: teal;">%bignum-0-or-plusp</span> <span class="nv" style="color: teal;">b</span><span class="idiff left"> </span><span class="nv" style="color: teal;"><span class="idiff right">len-b</span></span><span class="p">)</span></span>
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961
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<td class="diff-line-num new_line" data-linenumber="980" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
980
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<pre style="margin: 0;"> <span id="LC980" class="line" lang="common_lisp"> <span class="p">(</span><span class="k" style="font-weight: 600;">let</span> <span class="p">((</span><span class="nv" style="color: teal;">borrow</span> <span class="mi" style="color: #099;">1</span><span class="p">))</span></span>
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962
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<td class="diff-line-num new_line" data-linenumber="981" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
981
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<pre style="margin: 0;"> <span id="LC981" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">dotimes</span> <span class="p">(</span><span class="nv" style="color: teal;">j</span> <span class="nv" style="color: teal;">len-a</span><span class="p">)</span></span>
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<td class="diff-line-num new new_line" data-linenumber="982" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
982
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<pre style="margin: 0;">+<span id="LC982" class="line" lang="common_lisp"> <span class="p">(</span><span class="k" style="font-weight: 600;">declare</span> <span class="p">(</span><span class="k" style="font-weight: 600;">type</span> <span class="nv" style="color: teal;">bignum-index</span> <span class="nv" style="color: teal;">j</span><span class="p">))</span></span>
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<td class="diff-line-num old_line" data-linenumber="963" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
963
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<td class="diff-line-num new_line" data-linenumber="983" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
983
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<pre style="margin: 0;"> <span id="LC983" class="line" lang="common_lisp"> <span class="p">(</span><span class="k" style="font-weight: 600;">let</span> <span class="p">((</span><span class="nv" style="color: teal;">index</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">+</span> <span class="nv" style="color: teal;">j</span> <span class="nv" style="color: teal;">len-b</span><span class="p">)))</span></span>
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<td class="diff-line-num old old_line" data-linenumber="964" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
964
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<td class="diff-line-num new_line old" data-linenumber="984" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC964" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">multiple-value-bind</span> <span class="p">(</span><span class="nv" style="color: teal;">d</span> <span class="nv" style="color: teal;">borrow-out</span><span class="p">)</span></span>
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<td class="diff-line-num old old_line" data-linenumber="965" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
965
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<td class="diff-line-num new_line old" data-linenumber="984" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC965" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">%subtract-with-borrow</span> <span class="p">(</span><span class="nv" style="color: teal;">bignum-ref</span> <span class="nv" style="color: teal;">res</span> <span class="nv" style="color: teal;">index</span><span class="p">)</span></span>
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<td class="diff-line-num old old_line" data-linenumber="966" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
966
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<td class="diff-line-num new_line old" data-linenumber="984" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC966" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">bignum-ref</span> <span class="nv" style="color: teal;">a</span> <span class="nv" style="color: teal;">j</span><span class="p">)</span></span>
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<td class="diff-line-num old old_line" data-linenumber="967" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
967
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<td class="diff-line-num new_line old" data-linenumber="984" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC967" class="line" lang="common_lisp"> <span class="nv" style="color: teal;">borrow</span><span class="p">)</span></span>
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<td class="diff-line-num old old_line" data-linenumber="968" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
968
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<td class="diff-line-num new_line old" data-linenumber="984" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC968" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">setf</span> <span class="p">(</span><span class="nv" style="color: teal;">bignum-ref</span> <span class="nv" style="color: teal;">res</span> <span class="nv" style="color: teal;">index</span><span class="p">)</span> <span class="nv" style="color: teal;">d</span><span class="p">)</span></span>
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969
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<td class="diff-line-num new_line old" data-linenumber="984" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #fac5cd; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#f9d7dc">
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<pre style="margin: 0;">-<span id="LC969" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">setf</span> <span class="nv" style="color: teal;">borrow</span> <span class="nv" style="color: teal;">borrow-out</span><span class="p">)))))</span></span>
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<td class="diff-line-num new new_line" data-linenumber="984" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
984
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<pre style="margin: 0;">+<span id="LC984" class="line" lang="common_lisp"> <span class="p">(</span><span class="k" style="font-weight: 600;">declare</span> <span class="p">(</span><span class="k" style="font-weight: 600;">type</span> <span class="nv" style="color: teal;">bignum-index</span> <span class="nv" style="color: teal;">index</span><span class="p">))</span></span>
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<td class="diff-line-num new new_line" data-linenumber="985" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
985
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<pre style="margin: 0;">+<span id="LC985" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">multiple-value-bind</span> <span class="p">(</span><span class="nv" style="color: teal;">d</span> <span class="nv" style="color: teal;">borrow-out</span><span class="p">)</span></span>
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<td class="diff-line-num new old_line" data-linenumber="970" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
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<td class="diff-line-num new new_line" data-linenumber="986" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
986
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<pre style="margin: 0;">+<span id="LC986" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">%subtract-with-borrow</span> <span class="p">(</span><span class="nv" style="color: teal;">%bignum-ref</span> <span class="nv" style="color: teal;">res</span> <span class="nv" style="color: teal;">index</span><span class="p">)</span></span>
</pre>
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<td class="diff-line-num new old_line" data-linenumber="970" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
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<td class="diff-line-num new new_line" data-linenumber="987" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
987
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<pre style="margin: 0;">+<span id="LC987" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">%bignum-ref</span> <span class="nv" style="color: teal;">a</span> <span class="nv" style="color: teal;">j</span><span class="p">)</span></span>
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<td class="diff-line-num new new_line" data-linenumber="988" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
988
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<pre style="margin: 0;">+<span id="LC988" class="line" lang="common_lisp"> <span class="nv" style="color: teal;">borrow</span><span class="p">)</span></span>
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<td class="diff-line-num new old_line" data-linenumber="970" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
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<td class="diff-line-num new new_line" data-linenumber="989" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
989
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<pre style="margin: 0;">+<span id="LC989" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">setf</span> <span class="p">(</span><span class="nv" style="color: teal;">%bignum-ref</span> <span class="nv" style="color: teal;">res</span> <span class="nv" style="color: teal;">index</span><span class="p">)</span> <span class="nv" style="color: teal;">d</span><span class="p">)</span></span>
</pre>
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<td class="diff-line-num new old_line" data-linenumber="970" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
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<td class="diff-line-num new new_line" data-linenumber="990" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #c7f0d2; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#ddfbe6">
990
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<pre style="margin: 0;">+<span id="LC990" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">setf</span> <span class="nv" style="color: teal;">borrow</span> <span class="nv" style="color: teal;">borrow-out</span><span class="p">))))))</span></span>
</pre>
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970
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<td class="diff-line-num new_line" data-linenumber="991" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
991
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<pre style="margin: 0;"> <span id="LC991" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">%normalize-bignum</span> <span class="nv" style="color: teal;">res</span> <span class="nv" style="color: teal;">len-res</span><span class="p">)))</span></span>
</pre>
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971
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992
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<pre style="margin: 0;"> <span id="LC992" class="line" lang="common_lisp"></span>
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972
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<td class="diff-line-num new_line" data-linenumber="993" style="width: 35px; color: rgba(0,0,0,0.3); border-right-width: 1px; border-right-color: #f0f0f0; border-right-style: solid; padding: 0 5px;" align="right" bgcolor="#fafafa">
993
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<pre style="margin: 0;"> <span id="LC993" class="line" lang="common_lisp"><span class="p">(</span><span class="nb" style="color: #0086b3;">defparameter</span> <span class="vg" style="color: teal;">*min-karatsuba-bits*</span> <span class="mi" style="color: #099;">512</span></span>
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<li id="85dde3cf7afe6995ba91032c1acab376cff0f0a8">
<a href="https://gitlab.common-lisp.net/cmucl/cmucl/commit/d652bd096516a2217e9c273da88ae9c63386a743#85dde3cf7afe6995ba91032c1acab376cff0f0a8"><strong>tests/bignum.lisp</strong></a>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -21,8 +21,8 @@</td>
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<pre style="margin: 0;"> <span id="LC21" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">dotimes</span> <span class="p">(</span><span class="nv" style="color: teal;">k</span> <span class="mi" style="color: #099;">100</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC22" class="line" lang="common_lisp"> <span class="p">(</span><span class="k" style="font-weight: 600;">let*</span> <span class="p">((</span><span class="nv" style="color: teal;">r1</span> <span class="p">(</span><span class="nv" style="color: teal;">gen-bignum</span> <span class="nv" style="color: teal;">range</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">random</span> <span class="mi" style="color: #099;">2</span> <span class="nv" style="color: teal;">rng</span><span class="p">)))</span></span>
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<pre style="margin: 0;"> <span id="LC23" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">r2</span> <span class="p">(</span><span class="nv" style="color: teal;">gen-bignum</span> <span class="nv" style="color: teal;">range</span> <span class="p">(</span><span class="nb" style="color: #0086b3;">random</span> <span class="mi" style="color: #099;">2</span> <span class="nv" style="color: teal;">rng</span><span class="p">)))</span></span>
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<pre style="margin: 0;">-<span id="LC24" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">prod-knuth</span> <span class="p">(</span><span class="nv" style="color: teal;">bignum::classical-multiply-bignums</span> <span class="nv" style="color: teal;">r1</span> <span class="nv" style="color: teal;">r2</span><span class="p">))</span></span>
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<pre style="margin: 0;">-<span id="LC25" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">prod-hd</span> <span class="p">(</span><span class="nv" style="color: teal;">bignum::classical-multiply-bignum<span class="idiff left right">-hd</span></span> <span class="nv" style="color: teal;">r1</span> <span class="nv" style="color: teal;">r2</span><span class="p">)))</span></span>
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<pre style="margin: 0;">+<span id="LC24" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">prod-knuth</span> <span class="p">(</span><span class="nv" style="color: teal;">bignum::classical-multiply-bignums<span class="idiff left right">-knuth</span></span> <span class="nv" style="color: teal;">r1</span> <span class="nv" style="color: teal;">r2</span><span class="p">))</span></span>
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<pre style="margin: 0;">+<span id="LC25" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">prod-hd</span> <span class="p">(</span><span class="nv" style="color: teal;">bignum::classical-multiply-bignum<span class="idiff left right">s</span></span> <span class="nv" style="color: teal;">r1</span> <span class="nv" style="color: teal;">r2</span><span class="p">)))</span></span>
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<pre style="margin: 0;"> <span id="LC26" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">assert-equal</span> <span class="nv" style="color: teal;">prod-knuth</span> <span class="nv" style="color: teal;">prod-hd</span> <span class="nv" style="color: teal;">r1</span> <span class="nv" style="color: teal;">r2</span><span class="p">))))))</span></span>
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<pre style="margin: 0;"> <span id="LC27" class="line" lang="common_lisp"></span>
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<pre style="margin: 0;"> <span id="LC28" class="line" lang="common_lisp"></span>
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<td class="line_content match " style="padding-left: 0.5em; padding-right: 0.5em; color: rgba(0,0,0,0.3);" bgcolor="#fafafa">@@ -45,12 +45,12 @@</td>
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<pre style="margin: 0;"> <span id="LC45" class="line" lang="common_lisp"> <span class="p">(</span><span class="nv" style="color: teal;">r2</span> <span class="p">(</span><span class="nv" style="color: teal;">gen-bignum</span> <span class="nv" style="color: teal;">range</span> <span class="mi" style="color: #099;">1</span><span class="p">))</span> <span class="nv" style="color: teal;">res</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC46" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">time</span></span>
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<pre style="margin: 0;"> <span id="LC47" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">dotimes</span> <span class="p">(</span><span class="nv" style="color: teal;">k</span> <span class="nv" style="color: teal;">reps</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC48" class="line" lang="common_lisp"> <span class="p">(</span><span class="k" style="font-weight: 600;">declare</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">fixnum</span> <span class="nv" style="color: teal;">k</span><span class="p">))</span><span class="idiff left"> </span><span class="p"><span class="idiff">(</span></span><span class="nb" style="color: #0086b3;"><span class="idiff">setf</span></span><span class="idiff"> </span><span class="nv" style="color: teal;"><span class="idiff right">res</span></span></span>
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<pre style="margin: 0;">-<span id="LC49" class="line" lang="common_lisp"> <span class="idiff left"> </span><span class="p"><span class="idiff">(</span></span><span class="nv" style="color: teal;"><span class="idiff right">bignum::classical-multiply-bignums</span></span> <span class="nv" style="color: teal;">r1</span> <span class="nv" style="color: teal;">r2</span><span class="p">))))</span></span>
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<pre style="margin: 0;">+<span id="LC48" class="line" lang="common_lisp"> <span class="p">(</span><span class="k" style="font-weight: 600;">declare</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">fixnum</span> <span class="nv" style="color: teal;">k</span><span class="p">))</span></span>
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<pre style="margin: 0;">+<span id="LC49" class="line" lang="common_lisp"> <span class="idiff left"> </span><span class="p"><span class="idiff">(</span></span><span class="nb" style="color: #0086b3;"><span class="idiff">setf</span></span><span class="idiff"> </span><span class="nv" style="color: teal;"><span class="idiff">res</span></span><span class="idiff"> </span><span class="p"><span class="idiff">(</span></span><span class="nv" style="color: teal;"><span class="idiff right">bignum::classical-multiply-bignums-knuth</span></span> <span class="nv" style="color: teal;">r1</span> <span class="nv" style="color: teal;">r2</span><span class="p">))))</span></span>
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<pre style="margin: 0;"> <span id="LC50" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">print</span> <span class="nv" style="color: teal;">res</span><span class="p">)</span></span>
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<pre style="margin: 0;"> <span id="LC51" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">time</span></span>
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<pre style="margin: 0;"> <span id="LC52" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">dotimes</span> <span class="p">(</span><span class="nv" style="color: teal;">k</span> <span class="nv" style="color: teal;">reps</span><span class="p">)</span></span>
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<pre style="margin: 0;">-<span id="LC53" class="line" lang="common_lisp"> <span class="p">(</span><span class="k" style="font-weight: 600;">declare</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">fixnum</span> <span class="nv" style="color: teal;">k</span><span class="p">))</span><span class="idiff left"> </span><span class="p"><span class="idiff">(</span></span><span class="nb" style="color: #0086b3;"><span class="idiff">setf</span></span><span class="idiff"> </span><span class="nv" style="color: teal;"><span class="idiff right">res</span></span></span>
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<pre style="margin: 0;">-<span id="LC54" class="line" lang="common_lisp"> <span class="idiff left"> </span><span class="p"><span class="idiff">(</span></span><span class="nv" style="color: teal;"><span class="idiff right">bignum::classical-multiply-bignum-hd</span></span> <span class="nv" style="color: teal;">r1</span> <span class="nv" style="color: teal;">r2</span><span class="p">))))</span></span>
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<pre style="margin: 0;">+<span id="LC53" class="line" lang="common_lisp"> <span class="p">(</span><span class="k" style="font-weight: 600;">declare</span> <span class="p">(</span><span class="kt" style="color: #458; font-weight: 600;">fixnum</span> <span class="nv" style="color: teal;">k</span><span class="p">))</span></span>
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<pre style="margin: 0;">+<span id="LC54" class="line" lang="common_lisp"> <span class="idiff left"> </span><span class="p"><span class="idiff">(</span></span><span class="nb" style="color: #0086b3;"><span class="idiff">setf</span></span><span class="idiff"> </span><span class="nv" style="color: teal;"><span class="idiff">res</span></span><span class="idiff"> </span><span class="p"><span class="idiff">(</span></span><span class="nv" style="color: teal;"><span class="idiff right">bignum::classical-multiply-bignums</span></span> <span class="nv" style="color: teal;">r1</span> <span class="nv" style="color: teal;">r2</span><span class="p">))))</span></span>
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55
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<pre style="margin: 0;"> <span id="LC55" class="line" lang="common_lisp"> <span class="p">(</span><span class="nb" style="color: #0086b3;">print</span> <span class="nv" style="color: teal;">res</span><span class="p">)))))</span></span>
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<pre style="margin: 0;"> <span id="LC56" class="line" lang="common_lisp"></span></pre>
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