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<a href="#pub-static-methods">Static Public Member Functions</a> |
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<div class="title">BigNumberUtil Class Reference</div> </div>
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<p>Utilities to assist with implementing big number arithmetic.
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<a href="classBigNumberUtil.html#details">More...</a></p>
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<p><code>#include <<a class="el" href="BigNumberUtil_8h_source.html">BigNumberUtil.h</a>></code></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
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Static Public Member Functions</h2></td></tr>
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<tr class="memitem:a25041f898c417c8dd63f30536287ed79"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="classBigNumberUtil.html#a25041f898c417c8dd63f30536287ed79">unpackLE</a> (limb_t *limbs, size_t count, const uint8_t *bytes, size_t len)</td></tr>
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<tr class="memdesc:a25041f898c417c8dd63f30536287ed79"><td class="mdescLeft"> </td><td class="mdescRight">Unpacks the little-endian byte representation of a big number into a limb array. <a href="#a25041f898c417c8dd63f30536287ed79">More...</a><br/></td></tr>
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<tr class="separator:a25041f898c417c8dd63f30536287ed79"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a63f9d7884eb36227d39e1b95e219d865"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="classBigNumberUtil.html#a63f9d7884eb36227d39e1b95e219d865">unpackBE</a> (limb_t *limbs, size_t count, const uint8_t *bytes, size_t len)</td></tr>
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<tr class="memdesc:a63f9d7884eb36227d39e1b95e219d865"><td class="mdescLeft"> </td><td class="mdescRight">Unpacks the big-endian byte representation of a big number into a limb array. <a href="#a63f9d7884eb36227d39e1b95e219d865">More...</a><br/></td></tr>
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<tr class="separator:a63f9d7884eb36227d39e1b95e219d865"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a989cd5f389ac5adc798d8767383e2810"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="classBigNumberUtil.html#a989cd5f389ac5adc798d8767383e2810">packLE</a> (uint8_t *bytes, size_t len, const limb_t *limbs, size_t count)</td></tr>
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<tr class="memdesc:a989cd5f389ac5adc798d8767383e2810"><td class="mdescLeft"> </td><td class="mdescRight">Packs the little-endian byte representation of a big number into a byte array. <a href="#a989cd5f389ac5adc798d8767383e2810">More...</a><br/></td></tr>
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<tr class="separator:a989cd5f389ac5adc798d8767383e2810"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:af49dd38173ea0310776d283aabea2ba0"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="classBigNumberUtil.html#af49dd38173ea0310776d283aabea2ba0">packBE</a> (uint8_t *bytes, size_t len, const limb_t *limbs, size_t count)</td></tr>
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<tr class="memdesc:af49dd38173ea0310776d283aabea2ba0"><td class="mdescLeft"> </td><td class="mdescRight">Packs the big-endian byte representation of a big number into a byte array. <a href="#af49dd38173ea0310776d283aabea2ba0">More...</a><br/></td></tr>
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<tr class="separator:af49dd38173ea0310776d283aabea2ba0"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aa6904b2727af6b767fe041b1b7f27414"><td class="memItemLeft" align="right" valign="top">static limb_t </td><td class="memItemRight" valign="bottom"><a class="el" href="classBigNumberUtil.html#aa6904b2727af6b767fe041b1b7f27414">add</a> (limb_t *result, const limb_t *x, const limb_t *y, size_t size)</td></tr>
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<tr class="memdesc:aa6904b2727af6b767fe041b1b7f27414"><td class="mdescLeft"> </td><td class="mdescRight">Adds two big numbers. <a href="#aa6904b2727af6b767fe041b1b7f27414">More...</a><br/></td></tr>
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<tr class="separator:aa6904b2727af6b767fe041b1b7f27414"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a6618e03bfcb3086961df508b40cc1e67"><td class="memItemLeft" align="right" valign="top">static limb_t </td><td class="memItemRight" valign="bottom"><a class="el" href="classBigNumberUtil.html#a6618e03bfcb3086961df508b40cc1e67">sub</a> (limb_t *result, const limb_t *x, const limb_t *y, size_t size)</td></tr>
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<tr class="memdesc:a6618e03bfcb3086961df508b40cc1e67"><td class="mdescLeft"> </td><td class="mdescRight">Subtracts one big number from another. <a href="#a6618e03bfcb3086961df508b40cc1e67">More...</a><br/></td></tr>
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<tr class="separator:a6618e03bfcb3086961df508b40cc1e67"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a1c2c5484f2bf440ae292fd3dfd2d594f"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="classBigNumberUtil.html#a1c2c5484f2bf440ae292fd3dfd2d594f">mul</a> (limb_t *result, const limb_t *x, size_t xcount, const limb_t *y, size_t ycount)</td></tr>
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<tr class="memdesc:a1c2c5484f2bf440ae292fd3dfd2d594f"><td class="mdescLeft"> </td><td class="mdescRight">Multiplies two big numbers. <a href="#a1c2c5484f2bf440ae292fd3dfd2d594f">More...</a><br/></td></tr>
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<tr class="separator:a1c2c5484f2bf440ae292fd3dfd2d594f"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a5af5f50c91594183da4e079d76702d34"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="classBigNumberUtil.html#a5af5f50c91594183da4e079d76702d34">reduceQuick</a> (limb_t *result, const limb_t *x, const limb_t *y, size_t size)</td></tr>
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<tr class="memdesc:a5af5f50c91594183da4e079d76702d34"><td class="mdescLeft"> </td><td class="mdescRight">Reduces <em>x</em> modulo <em>y</em> using subtraction. <a href="#a5af5f50c91594183da4e079d76702d34">More...</a><br/></td></tr>
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<tr class="separator:a5af5f50c91594183da4e079d76702d34"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ab9a9f532fcfc182433adac44d8e4ee20"><td class="memItemLeft" align="right" valign="top">static limb_t </td><td class="memItemRight" valign="bottom"><a class="el" href="classBigNumberUtil.html#ab9a9f532fcfc182433adac44d8e4ee20">add_P</a> (limb_t *result, const limb_t *x, const limb_t *y, size_t size)</td></tr>
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<tr class="memdesc:ab9a9f532fcfc182433adac44d8e4ee20"><td class="mdescLeft"> </td><td class="mdescRight">Adds two big numbers where one of them is in program memory. <a href="#ab9a9f532fcfc182433adac44d8e4ee20">More...</a><br/></td></tr>
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<tr class="separator:ab9a9f532fcfc182433adac44d8e4ee20"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:af0fa1527647af42b65eda6b0aab982b3"><td class="memItemLeft" align="right" valign="top">static limb_t </td><td class="memItemRight" valign="bottom"><a class="el" href="classBigNumberUtil.html#af0fa1527647af42b65eda6b0aab982b3">sub_P</a> (limb_t *result, const limb_t *x, const limb_t *y, size_t size)</td></tr>
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<tr class="memdesc:af0fa1527647af42b65eda6b0aab982b3"><td class="mdescLeft"> </td><td class="mdescRight">Subtracts one big number from another where one is in program memory. <a href="#af0fa1527647af42b65eda6b0aab982b3">More...</a><br/></td></tr>
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<tr class="separator:af0fa1527647af42b65eda6b0aab982b3"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aacdee1806a239eb9e58753ef1ddb964a"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="classBigNumberUtil.html#aacdee1806a239eb9e58753ef1ddb964a">mul_P</a> (limb_t *result, const limb_t *x, size_t xcount, const limb_t *y, size_t ycount)</td></tr>
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<tr class="memdesc:aacdee1806a239eb9e58753ef1ddb964a"><td class="mdescLeft"> </td><td class="mdescRight">Multiplies two big numbers where one is in program memory. <a href="#aacdee1806a239eb9e58753ef1ddb964a">More...</a><br/></td></tr>
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<tr class="separator:aacdee1806a239eb9e58753ef1ddb964a"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a00c9cde0b626788a60552a6bc9ce058b"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="classBigNumberUtil.html#a00c9cde0b626788a60552a6bc9ce058b">reduceQuick_P</a> (limb_t *result, const limb_t *x, const limb_t *y, size_t size)</td></tr>
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<tr class="memdesc:a00c9cde0b626788a60552a6bc9ce058b"><td class="mdescLeft"> </td><td class="mdescRight">Reduces <em>x</em> modulo <em>y</em> using subtraction where <em>y</em> is in program memory. <a href="#a00c9cde0b626788a60552a6bc9ce058b">More...</a><br/></td></tr>
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<tr class="separator:a00c9cde0b626788a60552a6bc9ce058b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ad0aafacd8e224bd543341973c62ff1dd"><td class="memItemLeft" align="right" valign="top">static limb_t </td><td class="memItemRight" valign="bottom"><a class="el" href="classBigNumberUtil.html#ad0aafacd8e224bd543341973c62ff1dd">isZero</a> (const limb_t *x, size_t size)</td></tr>
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<tr class="memdesc:ad0aafacd8e224bd543341973c62ff1dd"><td class="mdescLeft"> </td><td class="mdescRight">Determine if a big number is zero. <a href="#ad0aafacd8e224bd543341973c62ff1dd">More...</a><br/></td></tr>
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<tr class="separator:ad0aafacd8e224bd543341973c62ff1dd"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p>Utilities to assist with implementing big number arithmetic. </p>
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<p>Big numbers are represented as arrays of limb_t words, which may be 8 bits, 16 bits, or 32 bits in size depending upon how the library was configured. For AVR, 16 bit limbs usually give the best performance.</p>
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<p>Limb arrays are ordered from the least significant word to the most significant. </p>
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<p>Definition at line <a class="el" href="BigNumberUtil_8h_source.html#l00072">72</a> of file <a class="el" href="BigNumberUtil_8h_source.html">BigNumberUtil.h</a>.</p>
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</div><h2 class="groupheader">Member Function Documentation</h2>
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<a class="anchor" id="aa6904b2727af6b767fe041b1b7f27414"></a>
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<td class="memname">limb_t BigNumberUtil::add </td>
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<td>(</td>
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<td class="paramtype">limb_t * </td>
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<td class="paramname"><em>result</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">const limb_t * </td>
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<td class="paramname"><em>x</em>, </td>
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<td class="paramtype">const limb_t * </td>
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<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">size_t </td>
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<td class="paramname"><em>size</em> </td>
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<td>)</td>
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<td></td><td></td>
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</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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</div><div class="memdoc">
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<p>Adds two big numbers. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">result</td><td>The result of the addition. This can be the same as either <em>x</em> or <em>y</em>. </td></tr>
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<tr><td class="paramname">x</td><td>The first big number. </td></tr>
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<tr><td class="paramname">y</td><td>The second big number. </td></tr>
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<tr><td class="paramname">size</td><td>The size of the values in limbs.</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>Returns 1 if there was a carry out or 0 if there was no carry out.</dd></dl>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classBigNumberUtil.html#a6618e03bfcb3086961df508b40cc1e67" title="Subtracts one big number from another. ">sub()</a>, <a class="el" href="classBigNumberUtil.html#a1c2c5484f2bf440ae292fd3dfd2d594f" title="Multiplies two big numbers. ">mul()</a> </dd></dl>
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<p>Definition at line <a class="el" href="BigNumberUtil_8cpp_source.html#l00495">495</a> of file <a class="el" href="BigNumberUtil_8cpp_source.html">BigNumberUtil.cpp</a>.</p>
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<td class="memname">limb_t BigNumberUtil::add_P </td>
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<td>(</td>
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<td class="paramtype">limb_t * </td>
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<td class="paramname"><em>result</em>, </td>
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<td class="paramname"><em>x</em>, </td>
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<td class="paramname"><em>y</em>, </td>
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<td></td>
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<td class="paramtype">size_t </td>
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<td class="paramname"><em>size</em> </td>
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<p>Adds two big numbers where one of them is in program memory. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">result</td><td>The result of the addition. This can be the same as <em>x</em>. </td></tr>
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<tr><td class="paramname">x</td><td>The first big number. </td></tr>
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<tr><td class="paramname">y</td><td>The second big number. This must point into program memory. </td></tr>
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<tr><td class="paramname">size</td><td>The size of the values in limbs.</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>Returns 1 if there was a carry out or 0 if there was no carry out.</dd></dl>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classBigNumberUtil.html#af0fa1527647af42b65eda6b0aab982b3" title="Subtracts one big number from another where one is in program memory. ">sub_P()</a>, <a class="el" href="classBigNumberUtil.html#aacdee1806a239eb9e58753ef1ddb964a" title="Multiplies two big numbers where one is in program memory. ">mul_P()</a> </dd></dl>
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<p>Definition at line <a class="el" href="BigNumberUtil_8cpp_source.html#l00628">628</a> of file <a class="el" href="BigNumberUtil_8cpp_source.html">BigNumberUtil.cpp</a>.</p>
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<td class="memname">limb_t BigNumberUtil::isZero </td>
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<td>(</td>
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<td class="paramtype">const limb_t * </td>
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<td class="paramname"><em>x</em>, </td>
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<p>Determine if a big number is zero. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">x</td><td>Points to the number to test. </td></tr>
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<tr><td class="paramname">size</td><td>The number of limbs in <em>x</em>. </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>Returns 1 if <em>x</em> is zero or 0 otherwise.</dd></dl>
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<p>This function attempts to make the determination in constant time. </p>
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<p>Definition at line <a class="el" href="BigNumberUtil_8cpp_source.html#l00761">761</a> of file <a class="el" href="BigNumberUtil_8cpp_source.html">BigNumberUtil.cpp</a>.</p>
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<td class="memname">void BigNumberUtil::mul </td>
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<td>(</td>
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<td class="paramtype">limb_t * </td>
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<td class="paramname"><em>result</em>, </td>
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<td class="paramtype">const limb_t * </td>
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<td class="paramtype">const limb_t * </td>
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<td class="paramname"><em>y</em>, </td>
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<td class="paramname"><em>ycount</em> </td>
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<td></td>
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<td>)</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Multiplies two big numbers. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">result</td><td>The result of the multiplication. The array must be <em>xcount</em> + <em>ycount</em> limbs in size. </td></tr>
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<tr><td class="paramname">x</td><td>Points to the first value to multiply. </td></tr>
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<tr><td class="paramname">xcount</td><td>The number of limbs in <em>x</em>. </td></tr>
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<tr><td class="paramname">y</td><td>Points to the second value to multiply. </td></tr>
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<tr><td class="paramname">ycount</td><td>The number of limbs in <em>y</em>.</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classBigNumberUtil.html#aacdee1806a239eb9e58753ef1ddb964a" title="Multiplies two big numbers where one is in program memory. ">mul_P()</a> </dd></dl>
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<p>Definition at line <a class="el" href="BigNumberUtil_8cpp_source.html#l00546">546</a> of file <a class="el" href="BigNumberUtil_8cpp_source.html">BigNumberUtil.cpp</a>.</p>
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<td class="memname">void BigNumberUtil::mul_P </td>
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<td>(</td>
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<td class="paramtype">limb_t * </td>
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<td class="paramname"><em>result</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const limb_t * </td>
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<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">size_t </td>
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<td class="paramname"><em>xcount</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const limb_t * </td>
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<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">size_t </td>
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<td class="paramname"><em>ycount</em> </td>
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<td></td>
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<td>)</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Multiplies two big numbers where one is in program memory. </p>
|
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<dl class="params"><dt>Parameters</dt><dd>
|
|
<table class="params">
|
|
<tr><td class="paramname">result</td><td>The result of the multiplication. The array must be <em>xcount</em> + <em>ycount</em> limbs in size. </td></tr>
|
|
<tr><td class="paramname">x</td><td>Points to the first value to multiply. </td></tr>
|
|
<tr><td class="paramname">xcount</td><td>The number of limbs in <em>x</em>. </td></tr>
|
|
<tr><td class="paramname">y</td><td>Points to the second value to multiply. This must point into program memory. </td></tr>
|
|
<tr><td class="paramname">ycount</td><td>The number of limbs in <em>y</em>.</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classBigNumberUtil.html#a1c2c5484f2bf440ae292fd3dfd2d594f" title="Multiplies two big numbers. ">mul()</a> </dd></dl>
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<p>Definition at line <a class="el" href="BigNumberUtil_8cpp_source.html#l00680">680</a> of file <a class="el" href="BigNumberUtil_8cpp_source.html">BigNumberUtil.cpp</a>.</p>
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<td class="memname">void BigNumberUtil::packBE </td>
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<td>(</td>
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<td class="paramtype">uint8_t * </td>
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<td class="paramname"><em>bytes</em>, </td>
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<td class="paramname"><em>len</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const limb_t * </td>
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<td class="paramname"><em>limbs</em>, </td>
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<td class="paramkey"></td>
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<td class="paramname"><em>count</em> </td>
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<td></td>
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<td>)</td>
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<p>Packs the big-endian byte representation of a big number into a byte array. </p>
|
|
<dl class="params"><dt>Parameters</dt><dd>
|
|
<table class="params">
|
|
<tr><td class="paramname">bytes</td><td>The byte array to pack into. </td></tr>
|
|
<tr><td class="paramname">len</td><td>The number of bytes in the destination <em>bytes</em> array. </td></tr>
|
|
<tr><td class="paramname">limbs</td><td>The limb array representing the big number, starting with the least significant word. </td></tr>
|
|
<tr><td class="paramname">count</td><td>The number of elements in the <em>limbs</em> array.</td></tr>
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</table>
|
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</dd>
|
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</dl>
|
|
<p>If <em>len</em> is shorter than the length of <em>limbs</em>, then the number will be truncated to the least significant <em>len</em> bytes. If <em>len</em> is longer than the length of <em>limbs</em>, then the high bytes will be filled with zeroes.</p>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classBigNumberUtil.html#a25041f898c417c8dd63f30536287ed79" title="Unpacks the little-endian byte representation of a big number into a limb array. ">unpackLE()</a>, <a class="el" href="classBigNumberUtil.html#af49dd38173ea0310776d283aabea2ba0" title="Packs the big-endian byte representation of a big number into a byte array. ">packBE()</a> </dd></dl>
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<p>Definition at line <a class="el" href="BigNumberUtil_8cpp_source.html#l00375">375</a> of file <a class="el" href="BigNumberUtil_8cpp_source.html">BigNumberUtil.cpp</a>.</p>
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<td class="memname">void BigNumberUtil::packLE </td>
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<td>(</td>
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<td class="paramtype">uint8_t * </td>
|
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<td class="paramname"><em>bytes</em>, </td>
|
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|
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|
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<td class="paramname"><em>len</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">const limb_t * </td>
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<p>Packs the little-endian byte representation of a big number into a byte array. </p>
|
|
<dl class="params"><dt>Parameters</dt><dd>
|
|
<table class="params">
|
|
<tr><td class="paramname">bytes</td><td>The byte array to pack into. </td></tr>
|
|
<tr><td class="paramname">len</td><td>The number of bytes in the destination <em>bytes</em> array. </td></tr>
|
|
<tr><td class="paramname">limbs</td><td>The limb array representing the big number, starting with the least significant word. </td></tr>
|
|
<tr><td class="paramname">count</td><td>The number of elements in the <em>limbs</em> array.</td></tr>
|
|
</table>
|
|
</dd>
|
|
</dl>
|
|
<p>If <em>len</em> is shorter than the length of <em>limbs</em>, then the number will be truncated to the least significant <em>len</em> bytes. If <em>len</em> is longer than the length of <em>limbs</em>, then the high bytes will be filled with zeroes.</p>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classBigNumberUtil.html#a25041f898c417c8dd63f30536287ed79" title="Unpacks the little-endian byte representation of a big number into a limb array. ">unpackLE()</a>, <a class="el" href="classBigNumberUtil.html#af49dd38173ea0310776d283aabea2ba0" title="Packs the big-endian byte representation of a big number into a byte array. ">packBE()</a> </dd></dl>
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<p>Definition at line <a class="el" href="BigNumberUtil_8cpp_source.html#l00264">264</a> of file <a class="el" href="BigNumberUtil_8cpp_source.html">BigNumberUtil.cpp</a>.</p>
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<td class="memname">void BigNumberUtil::reduceQuick </td>
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<td>(</td>
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<td class="paramtype">limb_t * </td>
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<td class="paramname"><em>result</em>, </td>
|
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const limb_t * </td>
|
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<td class="paramname"><em>x</em>, </td>
|
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|
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<td class="paramkey"></td>
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<td></td>
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|
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<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
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|
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<p>Reduces <em>x</em> modulo <em>y</em> using subtraction. </p>
|
|
<dl class="params"><dt>Parameters</dt><dd>
|
|
<table class="params">
|
|
<tr><td class="paramname">result</td><td>The result of the reduction. This can be the same as <em>x</em>. </td></tr>
|
|
<tr><td class="paramname">x</td><td>The number to be reduced. </td></tr>
|
|
<tr><td class="paramname">y</td><td>The base to use for the modulo reduction. </td></tr>
|
|
<tr><td class="paramname">size</td><td>The size of the values in limbs.</td></tr>
|
|
</table>
|
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</dd>
|
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|
|
<p>It is assumed that <em>x</em> is less than <em>y</em> * 2 so that a single conditional subtraction will bring it down below <em>y</em>. The reduction is performed in constant time.</p>
|
|
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classBigNumberUtil.html#a00c9cde0b626788a60552a6bc9ce058b" title="Reduces x modulo y using subtraction where y is in program memory. ">reduceQuick_P()</a> </dd></dl>
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<p>Definition at line <a class="el" href="BigNumberUtil_8cpp_source.html#l00598">598</a> of file <a class="el" href="BigNumberUtil_8cpp_source.html">BigNumberUtil.cpp</a>.</p>
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<td class="memname">void BigNumberUtil::reduceQuick_P </td>
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<td>(</td>
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<td class="paramtype">limb_t * </td>
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<td class="paramname"><em>result</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const limb_t * </td>
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<td class="paramname"><em>x</em>, </td>
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<td class="paramtype">const limb_t * </td>
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<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">size_t </td>
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<td class="paramname"><em>size</em> </td>
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<td>)</td>
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<td class="mlabels-right">
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<p>Reduces <em>x</em> modulo <em>y</em> using subtraction where <em>y</em> is in program memory. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">result</td><td>The result of the reduction. This can be the same as <em>x</em>. </td></tr>
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<tr><td class="paramname">x</td><td>The number to be reduced. </td></tr>
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<tr><td class="paramname">y</td><td>The base to use for the modulo reduction. This must point into program memory. </td></tr>
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<tr><td class="paramname">size</td><td>The size of the values in limbs.</td></tr>
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</table>
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</dd>
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</dl>
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<p>It is assumed that <em>x</em> is less than <em>y</em> * 2 so that a single conditional subtraction will bring it down below <em>y</em>. The reduction is performed in constant time.</p>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classBigNumberUtil.html#a5af5f50c91594183da4e079d76702d34" title="Reduces x modulo y using subtraction. ">reduceQuick()</a> </dd></dl>
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<p>Definition at line <a class="el" href="BigNumberUtil_8cpp_source.html#l00734">734</a> of file <a class="el" href="BigNumberUtil_8cpp_source.html">BigNumberUtil.cpp</a>.</p>
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<td class="memname">limb_t BigNumberUtil::sub </td>
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<td>(</td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const limb_t * </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const limb_t * </td>
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<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">size_t </td>
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<td class="paramname"><em>size</em> </td>
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<td></td>
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<td>)</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Subtracts one big number from another. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">result</td><td>The result of the subtraction. This can be the same as either <em>x</em> or <em>y</em>. </td></tr>
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<tr><td class="paramname">x</td><td>The first big number. </td></tr>
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<tr><td class="paramname">y</td><td>The second big number to subtract from <em>x</em>. </td></tr>
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<tr><td class="paramname">size</td><td>The size of the values in limbs.</td></tr>
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</table>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>Returns 1 if there was a borrow, or 0 if there was no borrow.</dd></dl>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classBigNumberUtil.html#aa6904b2727af6b767fe041b1b7f27414" title="Adds two big numbers. ">add()</a>, <a class="el" href="classBigNumberUtil.html#a1c2c5484f2bf440ae292fd3dfd2d594f" title="Multiplies two big numbers. ">mul()</a> </dd></dl>
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<p>Definition at line <a class="el" href="BigNumberUtil_8cpp_source.html#l00522">522</a> of file <a class="el" href="BigNumberUtil_8cpp_source.html">BigNumberUtil.cpp</a>.</p>
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<td class="memname">limb_t BigNumberUtil::sub_P </td>
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<td>(</td>
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<td class="paramname"><em>result</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const limb_t * </td>
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<td class="paramname"><em>x</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">const limb_t * </td>
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<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">size_t </td>
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<td class="paramname"><em>size</em> </td>
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<td></td>
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<td>)</td>
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<p>Subtracts one big number from another where one is in program memory. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">result</td><td>The result of the subtraction. This can be the same as <em>x</em>. </td></tr>
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<tr><td class="paramname">x</td><td>The first big number. </td></tr>
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<tr><td class="paramname">y</td><td>The second big number to subtract from <em>x</em>. This must point into program memory. </td></tr>
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<tr><td class="paramname">size</td><td>The size of the values in limbs.</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>Returns 1 if there was a borrow, or 0 if there was no borrow.</dd></dl>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classBigNumberUtil.html#ab9a9f532fcfc182433adac44d8e4ee20" title="Adds two big numbers where one of them is in program memory. ">add_P()</a>, <a class="el" href="classBigNumberUtil.html#aacdee1806a239eb9e58753ef1ddb964a" title="Multiplies two big numbers where one is in program memory. ">mul_P()</a> </dd></dl>
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<p>Definition at line <a class="el" href="BigNumberUtil_8cpp_source.html#l00655">655</a> of file <a class="el" href="BigNumberUtil_8cpp_source.html">BigNumberUtil.cpp</a>.</p>
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<td class="memname">void BigNumberUtil::unpackBE </td>
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<td>(</td>
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<td class="paramname"><em>limbs</em>, </td>
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<td class="paramname"><em>count</em>, </td>
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<td class="paramtype">const uint8_t * </td>
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<td class="paramname"><em>bytes</em>, </td>
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<p>Unpacks the big-endian byte representation of a big number into a limb array. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">limbs</td><td>The limb array, starting with the least significant word. </td></tr>
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<tr><td class="paramname">count</td><td>The number of elements in the <em>limbs</em> array. </td></tr>
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<tr><td class="paramname">bytes</td><td>The bytes to unpack. </td></tr>
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<tr><td class="paramname">len</td><td>The number of bytes to unpack.</td></tr>
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</table>
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</dd>
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</dl>
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<p>If <em>len</em> is shorter than the length of <em>limbs</em>, then the high bytes will be filled with zeroes. If <em>len</em> is longer than the length of <em>limbs</em>, then the high bytes will be truncated and lost.</p>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classBigNumberUtil.html#af49dd38173ea0310776d283aabea2ba0" title="Packs the big-endian byte representation of a big number into a byte array. ">packBE()</a>, <a class="el" href="classBigNumberUtil.html#a25041f898c417c8dd63f30536287ed79" title="Unpacks the little-endian byte representation of a big number into a limb array. ">unpackLE()</a> </dd></dl>
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<p>Definition at line <a class="el" href="BigNumberUtil_8cpp_source.html#l00163">163</a> of file <a class="el" href="BigNumberUtil_8cpp_source.html">BigNumberUtil.cpp</a>.</p>
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<td class="memname">void BigNumberUtil::unpackLE </td>
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<td>(</td>
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<td class="paramtype">limb_t * </td>
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<td class="paramname"><em>limbs</em>, </td>
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<p>Unpacks the little-endian byte representation of a big number into a limb array. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
|
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<tr><td class="paramname">limbs</td><td>The limb array, starting with the least significant word. </td></tr>
|
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<tr><td class="paramname">count</td><td>The number of elements in the <em>limbs</em> array. </td></tr>
|
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<tr><td class="paramname">bytes</td><td>The bytes to unpack. </td></tr>
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<tr><td class="paramname">len</td><td>The number of bytes to unpack.</td></tr>
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<p>If <em>len</em> is shorter than the length of <em>limbs</em>, then the high bytes will be filled with zeroes. If <em>len</em> is longer than the length of <em>limbs</em>, then the high bytes will be truncated and lost.</p>
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<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classBigNumberUtil.html#a989cd5f389ac5adc798d8767383e2810" title="Packs the little-endian byte representation of a big number into a byte array. ">packLE()</a>, <a class="el" href="classBigNumberUtil.html#a63f9d7884eb36227d39e1b95e219d865" title="Unpacks the big-endian byte representation of a big number into a limb array. ">unpackBE()</a> </dd></dl>
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<p>Definition at line <a class="el" href="BigNumberUtil_8cpp_source.html#l00055">55</a> of file <a class="el" href="BigNumberUtil_8cpp_source.html">BigNumberUtil.cpp</a>.</p>
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<hr/>The documentation for this class was generated from the following files:<ul>
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<li><a class="el" href="BigNumberUtil_8h_source.html">BigNumberUtil.h</a></li>
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<li><a class="el" href="BigNumberUtil_8cpp_source.html">BigNumberUtil.cpp</a></li>
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</ul>
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