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<a href="bignum_8py.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"><a class="line" href="namespacetest__framework_1_1bignum.html"> 1</a></span> <span class="comment">#</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">#</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"># bignum.py</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">#</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"># This file is copied from python-bitcoinlib.</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">#</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"># Distributed under the MIT/X11 software license, see the accompanying</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"># file COPYING or http://www.opensource.org/licenses/mit-license.php.</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">#</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> </div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="stringliteral">"""Bignum routines"""</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> </div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="keyword">from</span> __future__ <span class="keyword">import</span> absolute_import, division, print_function, unicode_literals</div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> </div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="keyword">import</span> struct</div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> </div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> </div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"># generic big endian MPI format</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> </div><div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="namespacetest__framework_1_1bignum.html#af801cedcea56bbc620f7d26585bb9857"> 20</a></span> <span class="keyword">def </span><a class="code" href="namespacetest__framework_1_1bignum.html#af801cedcea56bbc620f7d26585bb9857">bn_bytes</a>(v, have_ext=False):</div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  ext = 0</div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  <span class="keywordflow">if</span> have_ext:</div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  ext = 1</div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  <span class="keywordflow">return</span> ((v.bit_length()+7)//8) + ext</div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> </div><div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacetest__framework_1_1bignum.html#a73e8e6a5541e55f75218a5c3e9847d22"> 26</a></span> <span class="keyword">def </span><a class="code" href="namespacetest__framework_1_1bignum.html#a73e8e6a5541e55f75218a5c3e9847d22">bn2bin</a>(v):</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  s = bytearray()</div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  i = <a class="code" href="namespacetest__framework_1_1bignum.html#af801cedcea56bbc620f7d26585bb9857">bn_bytes</a>(v)</div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keywordflow">while</span> i > 0:</div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  s.append((v >> ((i-1) * 8)) & 0xff)</div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  i -= 1</div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="keywordflow">return</span> s</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> </div><div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="namespacetest__framework_1_1bignum.html#a3b74b8d88474755d27bdd7a9561b844c"> 34</a></span> <span class="keyword">def </span><a class="code" href="namespacetest__framework_1_1bignum.html#a3b74b8d88474755d27bdd7a9561b844c">bin2bn</a>(s):</div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  l = 0</div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="keywordflow">for</span> ch <span class="keywordflow">in</span> s:</div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  l = (l << 8) | ch</div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keywordflow">return</span> l</div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span> </div><div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="namespacetest__framework_1_1bignum.html#a6057534c860b28a3bd639e91fbee0577"> 40</a></span> <span class="keyword">def </span><a class="code" href="namespacetest__framework_1_1bignum.html#a6057534c860b28a3bd639e91fbee0577">bn2mpi</a>(v):</div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  have_ext = <span class="keyword">False</span></div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keywordflow">if</span> v.bit_length() > 0:</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  have_ext = (v.bit_length() & 0x07) == 0</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span> </div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  neg = <span class="keyword">False</span></div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keywordflow">if</span> v < 0:</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  neg = <span class="keyword">True</span></div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  v = -v</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span> </div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  s = struct.pack(b<span class="stringliteral">">I"</span>, <a class="code" href="namespacetest__framework_1_1bignum.html#af801cedcea56bbc620f7d26585bb9857">bn_bytes</a>(v, have_ext))</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  ext = bytearray()</div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keywordflow">if</span> have_ext:</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  ext.append(0)</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  v_bin = <a class="code" href="namespacetest__framework_1_1bignum.html#a73e8e6a5541e55f75218a5c3e9847d22">bn2bin</a>(v)</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">if</span> neg:</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordflow">if</span> have_ext:</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  ext[0] |= 0x80</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordflow">else</span>:</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  v_bin[0] |= 0x80</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keywordflow">return</span> s + ext + v_bin</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span> </div><div class="line"><a name="l00062"></a><span class="lineno"><a class="line" href="namespacetest__framework_1_1bignum.html#ab46eee5c2bf20a6ae3667ad57472c931"> 62</a></span> <span class="keyword">def </span><a class="code" href="namespacetest__framework_1_1bignum.html#ab46eee5c2bf20a6ae3667ad57472c931">mpi2bn</a>(s):</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="keywordflow">if</span> len(s) < 4:</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keywordflow">return</span> <span class="keywordtype">None</span></div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  s_size = bytes(s[:4])</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  v_len = struct.unpack(b<span class="stringliteral">">I"</span>, s_size)[0]</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keywordflow">if</span> len(s) != (v_len + 4):</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">return</span> <span class="keywordtype">None</span></div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordflow">if</span> v_len == 0:</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keywordflow">return</span> 0</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span> </div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  v_str = bytearray(s[4:])</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  neg = <span class="keyword">False</span></div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  i = v_str[0]</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">if</span> i & 0x80:</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  neg = <span class="keyword">True</span></div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  i &= ~0x80</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  v_str[0] = i</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span> </div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  v = <a class="code" href="namespacetest__framework_1_1bignum.html#a3b74b8d88474755d27bdd7a9561b844c">bin2bn</a>(v_str)</div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span> </div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordflow">if</span> neg:</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keywordflow">return</span> -v</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keywordflow">return</span> v</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span> </div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="comment"># bitcoin-specific little endian format, with implicit size</span></div><div class="line"><a name="l00087"></a><span class="lineno"><a class="line" href="namespacetest__framework_1_1bignum.html#a2654cfbd01aee7f094411aed1f5def9b"> 87</a></span> <span class="keyword">def </span><a class="code" href="namespacetest__framework_1_1bignum.html#a2654cfbd01aee7f094411aed1f5def9b">mpi2vch</a>(s):</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  r = s[4:] <span class="comment"># strip size</span></div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  r = r[::-1] <span class="comment"># reverse string, converting BE->LE</span></div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="keywordflow">return</span> r</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span> </div><div class="line"><a name="l00092"></a><span class="lineno"><a class="line" href="namespacetest__framework_1_1bignum.html#ac0186ef9d09b0332a81ff52413315671"> 92</a></span> <span class="keyword">def </span><a class="code" href="namespacetest__framework_1_1bignum.html#ac0186ef9d09b0332a81ff52413315671">bn2vch</a>(v):</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordflow">return</span> bytes(<a class="code" href="namespacetest__framework_1_1bignum.html#a2654cfbd01aee7f094411aed1f5def9b">mpi2vch</a>(<a class="code" href="namespacetest__framework_1_1bignum.html#a6057534c860b28a3bd639e91fbee0577">bn2mpi</a>(v)))</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span> </div><div class="line"><a name="l00095"></a><span class="lineno"><a class="line" href="namespacetest__framework_1_1bignum.html#a9e40fd92cf6d40124426a0fc457dde3d"> 95</a></span> <span class="keyword">def </span><a class="code" href="namespacetest__framework_1_1bignum.html#a9e40fd92cf6d40124426a0fc457dde3d">vch2mpi</a>(s):</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  r = struct.pack(b<span class="stringliteral">">I"</span>, len(s)) <span class="comment"># size</span></div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  r += s[::-1] <span class="comment"># reverse string, converting LE->BE</span></div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordflow">return</span> r</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span> </div><div class="line"><a name="l00100"></a><span class="lineno"><a class="line" href="namespacetest__framework_1_1bignum.html#a8f1fe014d09c488ea1ea6da5e77ceecb"> 100</a></span> <span class="keyword">def </span><a class="code" href="namespacetest__framework_1_1bignum.html#a8f1fe014d09c488ea1ea6da5e77ceecb">vch2bn</a>(s):</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordflow">return</span> <a class="code" href="namespacetest__framework_1_1bignum.html#ab46eee5c2bf20a6ae3667ad57472c931">mpi2bn</a>(<a class="code" href="namespacetest__framework_1_1bignum.html#a9e40fd92cf6d40124426a0fc457dde3d">vch2mpi</a>(s))</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span> </div><div class="ttc" id="namespacetest__framework_1_1bignum_html_a8f1fe014d09c488ea1ea6da5e77ceecb"><div class="ttname"><a href="namespacetest__framework_1_1bignum.html#a8f1fe014d09c488ea1ea6da5e77ceecb">test_framework.bignum.vch2bn</a></div><div class="ttdeci">def vch2bn(s)</div><div class="ttdef"><b>Definition:</b> <a href="bignum_8py_source.html#l00100">bignum.py:100</a></div></div>
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<div class="ttc" id="namespacetest__framework_1_1bignum_html_a2654cfbd01aee7f094411aed1f5def9b"><div class="ttname"><a href="namespacetest__framework_1_1bignum.html#a2654cfbd01aee7f094411aed1f5def9b">test_framework.bignum.mpi2vch</a></div><div class="ttdeci">def mpi2vch(s)</div><div class="ttdef"><b>Definition:</b> <a href="bignum_8py_source.html#l00087">bignum.py:87</a></div></div>
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<div class="ttc" id="namespacetest__framework_1_1bignum_html_ac0186ef9d09b0332a81ff52413315671"><div class="ttname"><a href="namespacetest__framework_1_1bignum.html#ac0186ef9d09b0332a81ff52413315671">test_framework.bignum.bn2vch</a></div><div class="ttdeci">def bn2vch(v)</div><div class="ttdef"><b>Definition:</b> <a href="bignum_8py_source.html#l00092">bignum.py:92</a></div></div>
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<div class="ttc" id="namespacetest__framework_1_1bignum_html_a9e40fd92cf6d40124426a0fc457dde3d"><div class="ttname"><a href="namespacetest__framework_1_1bignum.html#a9e40fd92cf6d40124426a0fc457dde3d">test_framework.bignum.vch2mpi</a></div><div class="ttdeci">def vch2mpi(s)</div><div class="ttdef"><b>Definition:</b> <a href="bignum_8py_source.html#l00095">bignum.py:95</a></div></div>
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<div class="ttc" id="namespacetest__framework_1_1bignum_html_af801cedcea56bbc620f7d26585bb9857"><div class="ttname"><a href="namespacetest__framework_1_1bignum.html#af801cedcea56bbc620f7d26585bb9857">test_framework.bignum.bn_bytes</a></div><div class="ttdeci">def bn_bytes(v, have_ext=False)</div><div class="ttdef"><b>Definition:</b> <a href="bignum_8py_source.html#l00020">bignum.py:20</a></div></div>
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<div class="ttc" id="namespacetest__framework_1_1bignum_html_ab46eee5c2bf20a6ae3667ad57472c931"><div class="ttname"><a href="namespacetest__framework_1_1bignum.html#ab46eee5c2bf20a6ae3667ad57472c931">test_framework.bignum.mpi2bn</a></div><div class="ttdeci">def mpi2bn(s)</div><div class="ttdef"><b>Definition:</b> <a href="bignum_8py_source.html#l00062">bignum.py:62</a></div></div>
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<div class="ttc" id="namespacetest__framework_1_1bignum_html_a6057534c860b28a3bd639e91fbee0577"><div class="ttname"><a href="namespacetest__framework_1_1bignum.html#a6057534c860b28a3bd639e91fbee0577">test_framework.bignum.bn2mpi</a></div><div class="ttdeci">def bn2mpi(v)</div><div class="ttdef"><b>Definition:</b> <a href="bignum_8py_source.html#l00040">bignum.py:40</a></div></div>
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<div class="ttc" id="namespacetest__framework_1_1bignum_html_a73e8e6a5541e55f75218a5c3e9847d22"><div class="ttname"><a href="namespacetest__framework_1_1bignum.html#a73e8e6a5541e55f75218a5c3e9847d22">test_framework.bignum.bn2bin</a></div><div class="ttdeci">def bn2bin(v)</div><div class="ttdef"><b>Definition:</b> <a href="bignum_8py_source.html#l00026">bignum.py:26</a></div></div>
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<div class="ttc" id="namespacetest__framework_1_1bignum_html_a3b74b8d88474755d27bdd7a9561b844c"><div class="ttname"><a href="namespacetest__framework_1_1bignum.html#a3b74b8d88474755d27bdd7a9561b844c">test_framework.bignum.bin2bn</a></div><div class="ttdeci">def bin2bn(s)</div><div class="ttdef"><b>Definition:</b> <a href="bignum_8py_source.html#l00034">bignum.py:34</a></div></div>
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