Updated documentation.
Robert Baron
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It is based on the GNU MP "fat" build which automatically detects the current CPU type, and selects any available
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assembly language code optimization for that CPU, thus providing optimal performance.
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</para>
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<para>
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</para>
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<para>
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<externalLink>
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<linkText>C Standard</linkText>
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<linkUri>http://en.cppreference.com/w/c/numeric/math</linkUri>
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</externalLink>
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functions that are missing from the .NET framework.
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Functions include among others:
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<!--<codeEntityReference autoUpgrade="true">M:C.math.frexp(System.Double,System.Int32@)</codeEntityReference>,
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<codeEntityReference autoUpgrade="true">M:C.math.ilogb(System.Double)</codeEntityReference>,
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<codeEntityReference autoUpgrade="true">M:C.math.ldexp(System.Double,System.Int32)</codeEntityReference>,
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<codeEntityReference autoUpgrade="true">M:C.math.logb(System.Double)</codeEntityReference>,
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<codeEntityReference autoUpgrade="true">M:C.math.scalbn(System.Double,System.Int32)</codeEntityReference>,
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<codeEntityReference autoUpgrade="true">M:C.math.copysign(System.Double,System.Double)</codeEntityReference>,
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<codeEntityReference autoUpgrade="true">M:C.math.nextafter(System.Double,System.Double)</codeEntityReference>,
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<codeEntityReference autoUpgrade="true">M:C.math.isunordered(System.Double,System.Double)</codeEntityReference>, and
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<codeEntityReference autoUpgrade="true">M:C.math.fpclassify(System.Double)</codeEntityReference>.-->
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Both double and single precision functions are implemented.
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All functions are static and their names follow the
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<externalLink>
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<linkText>C Standard</linkText>
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<linkUri>http://en.cppreference.com/w/c/numeric/math</linkUri>
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</externalLink>.
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</para>
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<para>
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All functions have been thoroughly tested using a large set of unit tests that cover all
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limit cases to guarantee that all functions behave as specified by the C standard.
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</para>
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</introduction>
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</introduction>
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<section>
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<title>Overview</title>
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<content>
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<para>
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The <codeEntityReference autoUpgrade="true">T:Math.Gmp.Native.gmp_lib</codeEntityReference> class has a static
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method for each one of the GNU MP functions.
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Other types are defined to mimic struct's and typedef's of the GNU MP and C libraries, as well as C language
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constructs such as <codeInline>char *</codeInline> and <codeInline>void *</codeInline>.
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</para>
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<para>
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The GMP Native Interface for .NET Library relies on pre-built 32-bit and 64-bit versions of the GNU MP Library.
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Instructions for building the GNU MP Library on Windows are given below.
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</para>
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<para>
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For convenience, this help file has been created from the GNU MP manual version 6.1.2. It shows with examples
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how each GNU MP function is called in .NET. For an introduction to GNU MP, refer to the
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<externalLink>
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<linkText>GNU MP Manual</linkText>
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<linkUri>https://gmplib.org/manual/</linkUri>
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</externalLink>.
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</para>
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</content>
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</section>
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<section>
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<title>C and .NET Types Equivalence</title>
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<content>
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<para>
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The table below shows how each C type maps to .NET.
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Note that the <codeEntityReference autoUpgrade="true">T:Math.Gmp.Native.mp_limb_t</codeEntityReference>
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and <codeEntityReference autoUpgrade="true">T:Math.Gmp.Native.size_t</codeEntityReference> C types map
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to the CPU word, i.e., 32 or 64 bits.
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In particular, because <codeEntityReference autoUpgrade="true">T:Math.Gmp.Native.mp_limb_t</codeEntityReference>
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is the type of the integers that make up multi-precision numbers, matching the CPU word size ensures
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maximum performance.
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Unless you intend to use low-level (mpn) functions, you do not need to take into account the
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CPU word size, and can build for the "Any CPU" platform.
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</para>
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<table>
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<tableHeader>
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<row>
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<entry><para>C Types</para></entry>
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<entry><para>.NET Types</para></entry>
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</row>
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</tableHeader>
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<row>
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<entry><para>short</para></entry>
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<entry><para>Int16</para></entry>
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</row>
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<row>
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<entry><para>int</para></entry>
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<entry><para>Int32</para></entry>
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</row>
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<row>
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<entry><para>long</para></entry>
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<entry><para>Int32</para></entry>
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</row>
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<row>
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<entry><para>long long</para></entry>
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<entry><para>Int64</para></entry>
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</row>
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<row>
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<entry><para><codeEntityReference autoUpgrade="true">T:Math.Gmp.Native.mp_bitcnt_t</codeEntityReference></para></entry>
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<entry><para>UInt32</para></entry>
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</row>
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<row>
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<entry><para><codeEntityReference autoUpgrade="true">T:Math.Gmp.Native.mp_exp_t</codeEntityReference></para></entry>
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<entry><para>Int32</para></entry>
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</row>
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<row>
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<entry><para><codeEntityReference autoUpgrade="true">T:Math.Gmp.Native.mp_size_t</codeEntityReference></para></entry>
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<entry><para>Int32</para></entry>
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</row>
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<row>
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<entry><para><codeEntityReference autoUpgrade="true">T:Math.Gmp.Native.mp_limb_t</codeEntityReference></para></entry>
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<entry><para>UInt32 (on 32-bit CPU) / UInt64 (on 64-bit CPU)</para></entry>
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</row>
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<row>
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<entry><para><codeEntityReference autoUpgrade="true">T:Math.Gmp.Native.size_t</codeEntityReference></para></entry>
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<entry><para>UInt32 (on 32-bit CPU) / UInt64 (on 64-bit CPU)</para></entry>
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</row>
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</table>
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</content>
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</section>
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<section>
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<title>Building the GNU MP Library on Windows</title>
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<content>
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<list class="ordered">
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<listItem>
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<para>
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Install <externalLink><linkText>MSYS2</linkText><linkUri>https://github.com/msys2/msys2/wiki/MSYS2-introduction</linkUri></externalLink>.
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</para>
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<para>
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Get the latest version from...
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</para>
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</listItem>
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<listItem><para>Install yasm</para></listItem>
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<listItem><para>Install GNU MP</para></listItem>
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<listItem><para>Build GNU MP</para></listItem>
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</list>
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</content>
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</section>
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<relatedTopics>
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<externalLink>
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@ -59,8 +129,8 @@
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<linkTarget>_self</linkTarget>
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</externalLink>
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<externalLink>
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<linkText>C.math.NET on GitHub</linkText>
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<linkUri>https://github.com/MachineCognitis/C.math.NET</linkUri>
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<linkText>Math.Gmp.Native on GitHub</linkText>
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<linkUri>https://github.com/MachineCognitis/Math.Gmp.Native</linkUri>
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<linkTarget>_self</linkTarget>
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</externalLink>
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</relatedTopics>
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GMP Sizes.xlsx
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GMP Sizes.xlsx
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<Compile Include="Properties\AssemblyInfo.cs" />
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</ItemGroup>
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<ItemGroup>
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<None Include="Dependencies\gmp-6.1.2.tar.bz2" />
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<None Include="ReadMe.txt" />
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<None Include="Dependencies\msys2-i686-20161025.exe" />
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<None Include="Dependencies\msys2-x86_64-20161025.exe" />
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<None Include="Dependencies\yasm-1.3.0-win32.exe" />
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<None Include="Dependencies\yasm-1.3.0-win64.exe" />
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<Content Include="x64\libgmp-10.dll">
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<CopyToOutputDirectory>PreserveNewest</CopyToOutputDirectory>
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</Content>
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<None Include="Math.Gmp.Native.ruleset" />
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<None Include="packages.config" />
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</ItemGroup>
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<ItemGroup />
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<Import Project="$(MSBuildToolsPath)\Microsoft.CSharp.targets" />
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<!-- To modify your build process, add your task inside one of the targets below and uncomment it.
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Other similar extension points exist, see Microsoft.Common.targets.
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<HelpTOC>
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@ -15,39 +15,39 @@
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@ -465,7 +465,7 @@
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@ -499,7 +499,7 @@
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@ -511,19 +511,19 @@
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@ -536,7 +536,7 @@
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<HelpTOCNode Id="9d5ec0a0-c293-476e-9b5a-ab88de576efe" Title="Equals Method " Url="html/0521b935-27ad-ca39-ed8a-6c4b4fc51116.htm">
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||||
<HelpTOCNode Id="a26d6380-ca63-4c0a-9f44-5c0e0367f2ed" Title="void_ptr Structure" Url="html/e200d734-044d-4cc7-acc7-2333d7cf3c9a.htm">
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||||
<HelpTOCNode Id="9314a4c0-cb91-4577-a469-fbf87bc34a9c" Title="void_ptr Methods" Url="html/e267ef2f-54a1-a3f1-441f-0655b542bf55.htm">
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||||
<HelpTOCNode Id="787c162f-13b5-4090-92e3-71b9c263b3e6" Title="Equals Method " Url="html/0521b935-27ad-ca39-ed8a-6c4b4fc51116.htm">
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||||
<HelpTOCNode Title="Equals Method (Object)" Url="html/0177c7b6-b5d5-3815-b64a-4f3a7686bf6d.htm" />
|
||||
<HelpTOCNode Title="Equals Method (void_ptr)" Url="html/c39c5883-0cbc-86ee-d3a6-be3a95f8cadc.htm" />
|
||||
</HelpTOCNode>
|
||||
|
|
@ -696,11 +696,11 @@
|
|||
<HelpTOCNode Title="GetHashCode Method " Url="html/04ef14d3-d09c-cfcb-0cea-8984c92612f5.htm" />
|
||||
<HelpTOCNode Title="ToIntPtr Method " Url="html/3e1375c2-3f44-721d-6ef3-32e49a3d7d3b.htm" />
|
||||
</HelpTOCNode>
|
||||
<HelpTOCNode Id="262520a5-2796-4a48-abcc-85241a95a746" Title="void_ptr Operators" Url="html/578ac23c-2986-d809-fa1b-c9a111d0c780.htm">
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<HelpTOCNode Id="aff88783-cf72-4040-964d-3efdc97e167b" Title="void_ptr Operators" Url="html/578ac23c-2986-d809-fa1b-c9a111d0c780.htm">
|
||||
<HelpTOCNode Title="Equality Operator " Url="html/3d7c5927-d163-5d46-1f0b-5c35ca116b22.htm" />
|
||||
<HelpTOCNode Title="Inequality Operator " Url="html/bd89f9a0-7e6f-d1e7-46b3-051bfbe290f4.htm" />
|
||||
</HelpTOCNode>
|
||||
<HelpTOCNode Id="1e56ee03-dbbd-4032-bbc0-b0ac6f9aaeda" Title="void_ptr Fields" Url="html/12a4c9d6-02cf-e913-816e-ad530e77722c.htm">
|
||||
<HelpTOCNode Id="886c06d5-5873-42b6-a57f-b6e7c5a6b409" Title="void_ptr Fields" Url="html/12a4c9d6-02cf-e913-816e-ad530e77722c.htm">
|
||||
<HelpTOCNode Title="Zero Field" Url="html/3fce2dbc-bac6-d24f-d6d4-84454567b8f5.htm" />
|
||||
</HelpTOCNode>
|
||||
</HelpTOCNode>
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{"hamming":[5505026,12976130,13107205,34275332],"h55555555":[4653057,18939905,21889025],"h8000000000000000":[30605313],"h40000000":[21168130],"hex":[5242884,26411012,38469633],"h11111111":[9371649],"hc2d24d55":[6094849],"holds":[22020097],"heap":[4849665],"h5555":[4653057,18939905,21889025],"h80":[23527425,35389441],"h435e50d7":[24248321,26673153,39911425],"h22222222":[9371649],"h13":[24248321,26673153,39911425],"h80000000":[30605313],"hfffffffc":[31129601],"hfffffffe":[1179649,2752513,16842753,21561345,25165825,25755649,28246017,29163521,30539777,30736385,31064065,31129601,32309249,39124993,41353217],"hffffffff":[1179651,1769473,2752514,3276802,4259844,4653057,6750210,7012354,8257538,14286850,14811138,16842755,18350082,18939905,20185090,21561347,21889025,24248321,25165827,25231362,26673153,26869762,27328514,28246019,29163523,29229058,30539779,30605315,30736386,30932994,31064067,31129602,32309251,32899074,33226753,34275331,38404100,39124995,39911425,40108036,41353219],"hardware":[17956865,23199745,39714817],"hexadecimal":[8585217,16252929,18153473,22544385,33816577],"hf0f0f0f":[18022402],"hierarchy":[9502721,12845057,12976129,14024705,18284545,22937601,23658497,40763393],"handle":[8192001,8781825,13893633,23527425,31653889,35389441,41025537],"hd79":[24248321,26673153,39911425],"habcd1234":[4980737],"h40":[1310721],"he8":[16318465],"hf0f0f0f0":[262148,18022402,19857412],"high":[5963777,21889025,33226753],"highest":[36962305,39583745],"higher":[5505025,12976129,13828097,26476545,29949954],"h7ab824fd":[4980737],"h10000":[38666241],"hd4a51000":[16318465],"habcd12347ab824fd":[4980737],"hedcba987":[2752513,30736385],"hffff":[1769473,4653057,18939905,21889025,24248321,25755649,26673153,33226753,39911425],"h555555555555":[18939905],"h44444444":[9371649],"h5555aaaa":[33226753],"host":[23527427,35389442],"happens":[21168129],"h964619c7":[6094850],"h12345678":[2752513,4259841,6750210,18350082,27328514,30736385,32899073,40108033],"human":[33161217],"haaaaaaaa":[33226753],"he2":[1310721],"happen":[10420225,12124161],"h33333333":[9371651],"handled":[4849665,16121857],"h1e240":[1310721],"h1000":[4980738],"h7fffffff":[30605313],"hhc":[3866626,6356994,7733250,14745602,22347778,37421058],"half":[5963777],"hash":[131073,917506,1441793,1507329,2031617,4128769,4194306,4521985,4915201,6029313,8060930,9502721,11141121,12189697,12845057,13565954,14024705,16449537,18087937,18284545,18612226,21430274,22806529,22937601,23658497,25034753,28966913,29622273,31719426,32571394,33161217,35520513,35913729,37224449,37683201,38273025,38928385,40763393]}
|
||||
{"hamming":[4915202,12517381,17170434,37552132],"h55555555":[4718593,19136513,21889025],"h8000000000000000":[31064065],"h40000000":[20578306],"hex":[5177348,22937604,35520513],"h11111111":[8454145],"hc2d24d55":[5963777],"holds":[23068673],"heap":[8847361],"h5555":[4718593,19136513,21889025],"h80":[23986177,34930689],"h435e50d7":[23724033,28704769,41222145],"h22222222":[8454145],"h13":[23724033,28704769,41222145],"h80000000":[31064065],"hfffffffc":[28180481],"hfffffffe":[1114113,2621441,18350081,22282241,22413313,25952257,27197441,28180481,30277633,30670849,30998529,34144257,36044801,37486593,41156609],"hffffffff":[1114115,1966081,2621442,3080194,4325380,4718593,6094850,7012354,7929858,13434882,15138818,18350083,18677762,19136513,20643842,21889025,22282243,23724033,24969218,25952259,26345474,27197443,27394050,28180482,28704769,29818882,30277635,30539778,30670850,30998531,31064067,31653890,34144259,36044803,37224452,37486595,37552131,37945345,40894468,41156611,41222145],"hardware":[17235969,20316161,39911425],"hexadecimal":[9240577,16908289,17498113,22740993,32178177],"hf0f0f0f":[18219010],"hierarchy":[8650753,12124161,14090241,16646145,17170433,21626881,23134209,39649281],"handle":[7667713,9437185,14680065,23986177,34734081,34930689,40566785],"hd79":[23724033,28704769,41222145],"habcd1234":[4784129],"h40":[1376257],"he8":[16187393],"hf0f0f0f0":[327684,18219010,21364740],"high":[5636097,21889025,37945345],"highest":[33292289,38076417],"higher":[4915201,13631489,17170433,24248321,29097986],"h7ab824fd":[4784129],"h10000":[36765697],"hd4a51000":[16187393],"habcd12347ab824fd":[4784129],"hedcba987":[2621441,30670849],"hffff":[1966081,4718593,19136513,21889025,22413313,23724033,28704769,37945345,41222145],"h555555555555":[19136513],"h44444444":[8454145],"h5555aaaa":[37945345],"host":[23986179,34930690],"happens":[20578305],"h964619c7":[5963778],"h12345678":[2621441,4325377,6094850,18677762,24969218,30670849,31653889,40894465],"human":[31195137],"haaaaaaaa":[37945345],"he2":[1376257],"happen":[10485761,12058625],"h33333333":[8454147],"handled":[8847361,16252929],"h1e240":[1376257],"h1000":[4784130],"h7fffffff":[31064065],"hhc":[4063234,6225922,9109506,13762562,23920642,34406402],"help":[20185089],"half":[5636097],"hash":[131073,1048578,1310721,1572865,1835009,2752514,4259841,4390914,4587521,4653057,5701633,8650753,11337729,12124161,13238273,13697026,14090241,16646145,17104897,18874369,20971522,21626881,23134209,25624578,28246017,28311553,28966913,29360130,30736385,31195137,32440322,33095681,35389441,35717121,38141953,38600705,39649281,39714817]}
|
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|
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{"just":[1638401,4980737,8585217,9699329,21692417,29949953,35389442,36634625,39190529,39583745],"jacobi":[851972,1966084,5505030,8519684,12976134,14352388,27721732,31391745,35061764]}
|
||||
{"just":[1769473,4784129,9240577,9633793,24576001,29097985,34930690,37683201,38076417,40108033],"jacobi":[851972,1638404,4915206,9043972,14352388,17170438,22544388,28770305,37289988]}
|
||||
|
|
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|
|||
{"kronecker":[851973,1966085,5505029,12976133,14352389,27721733,35061765],"kind":[13238273,34537473,35848193],"known":[5505026,7405569,10223617,12976130,16121857,17104897],"know":[23527425,30998529],"knut":[5505025,12976129,38731777],"keys":[29097985,32636929],"knuth":[35323905,38731777]}
|
||||
{"kronecker":[851973,1638405,4915205,14352389,17170437,22544389,37289989],"kind":[12713985,31522817,39256065],"known":[4915202,6946817,10747905,16252929,16318465,17170434],"know":[23986177,31719425],"knut":[4915201,17170433,37814273],"keys":[28442625,31588353],"knuth":[37814273,38010881]}
|
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|
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{"qxn":[24248321,26673158,39911435],"qualified":[131073,4521985,37224449,37683201],"quotient":[1572866,2424834,5505044,7405569,8912898,10223617,11075590,12058626,12976148,13959170,16711682,18939906,20643842,21889025,22085634,22151170,24248322,24707074,26673161,27459586,29687810,33226753,34078722,36110338,38993922,39911426],"quality":[29097985,32636929],"quite":[29097985,32636929]}
|
||||
{"qxn":[23724033,28704774,41222155],"qualified":[131073,4587521,33095681,38600705],"quotient":[2555906,2686978,4915220,6946817,8912898,10747905,11534342,11730946,12845058,16711682,17170452,19070978,19136514,19791874,20512770,21889025,22151170,23724034,26279938,28704777,29556738,34603010,37945345,38797314,41025538,41222146],"quality":[28442625,31588353],"quite":[28442625,31588353]}
|
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|
|||
{"way":[16121857,29949953,34668545,39583746],"write":[1310722,2752513,4259841,5505052,6750209,7733250,7929857,8257537,8585218,9043970,11665410,12976156,14745602,14811137,16384001,16842753,18022401,18350081,19333122,20185089,21561345,21954562,22020098,22544386,24248321,25231361,27328513,28246017,29163521,29229057,30539777,30605313,30736385,30932993,31129601,32899073,36634626,39124993,39911425,40108033,41156610,41353217],"word":[5505026,12976130,23527434,33161218,35389452],"widening":[393217,1114113,3473409,6488065,7340033,9568257,10682369,12648449,12910593,14614529,14680065,16252929,16580609,17170433,17235969,20316161,20447233,20840449,21233665,22216705,23592961,23855105,24444929,26214401,27656193,30343169,32768001,32833537,33816577,38141953,39059457,39321601,39845889],"want":[21102593],"won":[21889025,30998529,33226753],"writing":[1310722,4653057,5505027,9109505,12976131,19333122,21889025,33226753,36634626,41156609],"welcome":[20381697],"white":[5505025,8585219,12976129,18153473,21102595,22544385,38469633],"wanted":[3211265,20971521,33030145,36962305,38666241],"written":[1310725,4653057,5505025,7929857,8257537,11665409,12976129,14942209,15925249,16384001,16646145,19333123,20185089,20578305,21561345,22609921,24248321,25231361,29949953,30539777,30605313,30998529,31129601,35389443,36503553,36634627,39911426,41156610],"writealltext":[7733250,8585218,9043970,14745602,22544386],"words":[14090241,23527429,33357825,35389445]}
|
||||
{"way":[16252929,29097985,34013185,38076418],"write":[1376258,2621441,4325377,4915228,6094849,7929857,8388609,9109506,9240578,9306114,10878978,13762562,15138817,16842753,17170460,18219009,18350081,18677761,19529730,20643841,21037058,22282241,22740994,23068674,23724033,24969217,26345473,27197441,27394049,28180481,30277633,30539777,30670849,30998529,31064065,31653889,37486593,37683202,40828930,40894465,41156609,41222145],"word":[4915202,17170434,20185091,23986186,31195138,34930700],"widening":[262145,1179649,3997697,6422529,7340033,10813441,12976129,14155777,14483457,15204353,15597569,17498113,17760257,17825793,19005441,19202049,19660801,21495809,22216705,23330817,23855105,24182785,25034753,26411009,28508161,31326209,32178177,32768001,33226753,35127297,35979265,36372481,40501249],"want":[20250625],"windows":[20185090],"won":[21889025,31719425,37945345],"writing":[1376258,4718593,4915203,8781825,17170435,19529730,21889025,37683202,37945345,40828929],"welcome":[20185089],"white":[4915201,9240579,16908289,17170433,20250627,22740993,35520513],"wanted":[2293761,21561345,32505857,33292289,36765697],"written":[1376261,4718593,4915201,7929857,8388609,10878977,14221313,15794177,16121857,16842753,17170433,19529731,20054017,20643841,22282241,23724033,26345473,28180481,29097985,30605313,30998529,31064065,31719425,34865153,34930691,37683203,40828930,41222146],"writealltext":[9109506,9240578,9306114,13762562,22740994],"words":[13959169,23986181,34930693,37093377]}
|
||||
|
|
@ -1 +1 @@
|
|||
{"xor":[2752514,6750210],"x64":[12779522,20381697,21954562,22020098],"x86":[12779522,20381697,21954562,22020098],"xxxxxxxxxxxxxxxxx":[5242882,26411010]}
|
||||
{"xor":[2621442,6094850],"x64":[12582914,20185089,21037058,23068674],"x86":[12582914,20185089,21037058,23068674],"xxxxxxxxxxxxxxxxx":[5177346,22937602]}
|
||||
|
|
@ -1 +1 @@
|
|||
{"ylimb":[5505025,12976129,17432583],"yields":[5505026,12976130,19267585,23789569]}
|
||||
{"yasm":[20185089],"ylimb":[4915201,17039367,17170433],"yields":[4915202,15990785,17170434,21823489]}
|
||||
|
|
@ -1 +1 @@
|
|||
{"zero":[589825,1048577,1441793,1769473,1835009,1900545,2686978,2818049,3342338,4849666,4980738,5242881,5308418,5505071,6094849,6291457,6422530,7012362,7536641,7602178,7798786,7864322,8192003,8781827,9371649,9895937,10027012,10158081,10551301,10747906,11206657,11337729,12713986,12976175,13303810,13369346,13434881,13631489,13762562,13893635,14548996,15204353,15269889,15794178,16318466,16842753,16973826,17039364,17104897,17432577,17760257,17956865,18153474,18546690,18874373,18939905,19070977,19464194,19660802,19988484,21168129,21495811,21692417,21889026,21954562,22020098,22282241,23199746,23527426,24248321,24313857,25755649,25952259,26083330,26148865,26411011,26673154,26869763,26935300,27262977,27525121,28442626,29229057,29360129,30408705,30605313,30801921,30998531,31064074,31129601,31522817,31784961,33226754,33947650,34209794,34340868,34668546,35258370,35389446,35782658,35979266,36175876,36306950,36438017,36962308,37027842,37224449,37355522,37879810,37945346,38404099,38469633,38666246,39124993,39190530,39583746,39714817,39911426,40173569,40239105,40370178,40632322,40828932,41353217],"zeros":[1900545,5242881,5505028,12976132,13238273,17760257,30998529,34537473,35848193,36765699],"zeroes":[14090241,31981569,33357825],"zeromemory":[5505026,12976130,36765702]}
|
||||
{"zero":[458753,983041,1245185,1310721,1900545,1966081,3014658,3145730,3276802,3407873,4784130,4915247,5177345,5373954,5963777,6488066,7012362,7274497,7405570,7471105,7602178,7667715,8454145,8847362,9437187,9961476,10027010,10092545,10354693,11468801,11599873,11993089,13041666,13303809,13500417,13828097,14286850,14614532,14680067,14876674,14942209,15335426,15859714,16187394,16318465,16908290,16973826,17039361,17170479,17235969,17432578,17629188,17694722,18087937,18350081,18939906,19136513,19333121,19988485,20316162,20578305,20774916,21037058,21102595,21889026,22347778,22413313,22675459,22937603,23068674,23724033,23986178,24051713,24379393,24576001,25559041,26017794,27394049,27656193,27721729,28180481,28639233,28704770,29229060,29818883,30212097,31064065,31457281,31719427,32309250,32374785,33292292,33554433,33816578,33882118,34013186,34209794,34340866,34799618,34930694,35192834,35258372,35520513,36044810,36241409,36306946,36700161,36765702,36831236,37224451,37486593,37945346,38076418,38207490,38338562,38600705,39452674,39583745,39780356,39911425,40108034,41156609,41222146,41418754],"zeros":[1900545,4915204,5177345,12713985,17170436,18087937,31522817,31719425,33161219,39256065],"zeroes":[13959169,35323905,37093377],"zeromemory":[4915202,17170434,33161222]}
|
||||
|
|
@ -1 +1 @@
|
|||
{"_mpz_realloc":[4980737,5505025,9109505,12779521,12976129,15794177,21954561,22020097,26083329,34668555],"_ptr":[14024705],"_mp_size":[3145734,3342343,9502722,11534338,18743298,22937602,23658497,24641538,25952263,33095681,36962308,39583745],"_mp_den":[2490369,18284545,40697861],"_mp_num":[2490369,10354693,18284545],"_mp_d":[3342337,9502721,11534337,18743298,22937602,23658497,24641538,25952257,33095681,36962316,39583745],"_wfopen_s":[1310722,7733250,8585218,9043970,11665412,14745602,16646146,19333122,22544386,36503554,36634626,41156609],"_mp_alloc":[18743297,22937601,24641544],"_mp_prec":[9502721,11534337,19070982,36962305],"_mp_exp":[9502721,11534337,25952258,39583749]}
|
||||
{"_mpz_realloc":[4784129,4915201,8781825,12582913,14286849,17170433,21037057,22347777,23068673,34013195],"_ptr":[14090241],"_mp_size":[3145735,3538950,8650754,11141122,16056322,21626881,22675463,23134210,27459586,32243713,33292292,38076417],"_mp_den":[2359297,16646145,39190533],"_mp_num":[2359297,10158085,16646145],"_mp_d":[3145729,8650753,11141121,16056322,21626881,22675457,23134210,27459586,32243713,33292300,38076417],"_wfopen_s":[1376258,9109506,9240578,9306114,10878980,13762562,16121858,19529730,22740994,34865154,37683202,40828929],"_mp_alloc":[16056321,23134209,27459592],"_mp_prec":[8650753,11141121,19333126,33292289],"_mp_exp":[8650753,11141121,22675458,38076421]}
|
||||
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|
|
@ -1 +1 @@
|
|||
{"bit":[917505,1310722,2621442,4128769,4194305,4849666,5308418,5505053,5570566,5963778,7864322,8060929,9502721,10027010,10420240,10485762,11665410,12124176,12189697,12386310,12976158,13107204,13565953,14090241,16121857,17039362,17694722,18546690,18612225,19660802,20250625,20381698,20905986,21430273,21692418,22675462,24772621,24903682,25624578,26935298,28311553,28442626,28639245,28770305,29425665,31719425,32571393,33357825,33947650,34275330,34340866,34668546,35520513,35586049,36175874,36831234,36962305,37027841,38010886,38928385,40828930,40894466],"binary":[1310721,1900545,5505028,12976132,13238273,16252929,17760257,18153473,20905985,22544385,33816577,34537473,35848193,38469633],"behaves":[2621441,5570561,10420225,10485761,12124161,12386305,13107201,17694721,20905985,22675457,38010881,40894465],"block":[1638408,3604482,5505029,6684674,10616834,12976133,14548995,18219011,20185089,25231361,27197445,30539777,30998531,31653891,35389443,36241410,36765699,37224451,37683202,39190531,41025539],"bool":[458756,7471107,8323076,9240579,9764868,10092547,11730947,13041667,16056324,19136515,19202052,19529732,24182787,24510467,25821187,27066371,27131907,27983875,28180483,28704771,29032451,30212099,30867460,31850499,32047107,32112643,32440324,32505859,32702467,34734083,35192835,38535171],"bits":[196610,2686978,3407874,3735554,3801089,4128770,4325380,4390914,4849670,5177346,5505035,5963778,8192002,8388610,8650754,8716290,8781825,9306114,9633794,9699329,9895938,10420225,11272198,11599874,12124161,12451842,12517378,12976140,13107201,13500418,13631490,13893634,15204354,15269890,15990788,16121860,17104897,17956866,18481154,20250628,20905987,22478850,23527427,24903684,25100290,25624580,25886722,26476546,27918342,28508162,29425665,29949956,30605319,30998530,31129608,31522818,33161217,33292290,33751042,35389442,35586050,35651586,36241409,36438018,36831233,37027842,37289986,37945345,39256066,40042497,40435714,40501250],"bytesperlimb":[11796484],"bitwise":[2621443,2752513,4259842,5505041,6750210,10485763,12976145,18022401,18350081,21692417,27328514,30736386,32899074,40108033,40894467],"byref":[9437190,21495810,35389442],"binomial":[5505026,10813443,12976130,35323907],"boolean":[458754,7471106,8323074,9240578,9764866,10092546,11730946,13041666,16056322,19136514,19202050,19529730,24182786,24510466,25821186,27066370,27131906,27983874,28180482,28704770,29032450,30212098,30867458,31850498,32047106,32112642,32440322,32505858,32702466,34734082,35192834,38535170],"bases":[18153474,21102594,21692418,22544386],"based":[4980737,9371649,12779522,20381697,21954562,22020098,27262977],"book":[5505025,12976129,38731777],"bytes":[1310725,1638407,3604481,5242882,5505029,6684673,7077891,7929858,8585218,9043971,11665411,11796481,12976134,14548994,16384002,19333123,22544387,23527430,26411009,27197446,29425665,30998530,31981569,35389444,35520513,36241412,36634627,36765698,38207491,39190530,41156610],"bitsperlimb":[40042500],"bin":[35323906],"base":[1114114,5242891,5505051,8585224,9043983,12976155,13500424,14549003,18153484,19267591,19333130,21102607,21692426,22544394,23789589,24969237,26148886,26411019,27525142,30998537,34209800,36634633,38469641,39190539,40435722,41156617],"byte":[327682,720898,1310722,2949123,4128773,4784134,5111810,5242886,7340034,7995393,9568258,12189701,12845057,16515078,17170438,17367046,17498114,21233670,23003140,23461893,23527431,23855110,26411017,26607622,26738690,27394050,28114947,28573698,31588358,31981573,32243717,33161220,33488899,34013188,34144261,35389448,35520516,37552130,38141958,38928389,39845894,41091073],"beginning":[21102593],"body":[33161217],"bound":[786433],"bugs":[13238273,34537473,35848193],"bit_index":[5505028,5570567,12386310,12976132,22675462,38010886],"borrows":[21889025,33226753],"buf":[5505028,7929863,12976132,14942216,16384007,22609928],"bigger":[1638401,37945345],"build":[20381697],"behave":[20381697],"b1p":[38404102],"borrow":[21561349,25165829,25231365,28246021,29163525,29229061,31064069],"big":[1310721,9699329,17956866,21692417,23199745,28311553,35586049,36700161,39714818,40435713],"behaviour":[36306945],"building":[20185089,20381697,25231361,30539777],"better":[29097985,32636929],"best":[3211265,33030145]}
|
||||
{"bit":[1048577,1376258,2424834,2752513,3276802,4259841,4390913,4915229,5373954,5636098,6029318,8650753,8847362,9961474,10485776,10878978,11272194,12058640,12451846,12517380,13238273,13697025,13959169,15859714,16252929,16515074,17170462,17629186,18939906,20185096,20840449,20905986,20971521,23003138,24576002,25624577,26017794,26214401,26869766,27525133,27787266,27918337,28377089,29032461,29229058,29360129,32309250,32440321,33292289,34013186,35258370,35717121,36831234,36962305,37093377,37421058,37552130,38141953,38273030,38207489,39780354,39976962],"binary":[1376257,1900545,4915204,12713985,16908289,17170436,17498113,18087937,20905985,22740993,31522817,32178177,35520513,39256065],"behaves":[2424833,6029313,10485761,11272193,12058625,12451841,12517377,16515073,20905985,26869761,38273025,39976961],"block":[1769480,4128770,4915205,6619138,9895938,14614531,16384003,17170437,20643841,25821189,26345473,30998529,31719427,33095682,33161219,34734083,34930691,38600707,39059458,40108035,40566787],"bool":[393220,7143427,7995396,8519683,9502724,10223619,10551299,12320771,15663108,19464195,19726340,20119556,21692419,24117251,24707075,25755651,26607619,27262979,27852803,28901379,29425667,30867460,31260675,31850499,34078723,34471939,34996227,35848195,36634627,37158916,37355523,38666243],"bits":[2490370,3014658,3211266,3670018,3866625,4259842,4915211,5111812,5636098,5767170,7667714,8192002,8257538,8716290,8847366,8978434,9371650,9437185,9633793,9764866,10485761,10944518,11403266,11927554,11993090,12058625,12386306,12517377,13303810,13369346,13500418,14680066,14942210,15073284,16252932,16318465,17170444,17235970,18808834,20185089,20840452,20905987,22020098,22085634,23003140,23265282,23986179,24248322,24838146,26148870,27787268,28180488,28377089,29097988,31064071,31195137,31719426,32374786,33357826,34668546,34930690,35913730,36241410,36962306,37421057,37879810,38207490,38731778,39059457,39321602,39452673,40239105,40632322],"bytesperlimb":[11796484],"bitwise":[2424835,2621441,4325378,4915217,6094850,11272195,17170449,18219009,18677761,24576001,24969218,30670850,31653890,39976963,40894465],"byref":[8585222,21102594,34930690],"binomial":[4915202,10616835,17170434,38010883],"boolean":[393218,7143426,7995394,8519682,9502722,10223618,10551298,12320770,15663106,19464194,19726338,20119554,21692418,24117250,24707074,25755650,26607618,27262978,27852802,28901378,29425666,30867458,31260674,31850498,34078722,34471938,34996226,35848194,36634626,37158914,37355522,38666242],"bases":[16908290,20250626,22740994,24576002],"based":[4784129,8454145,12582914,20185089,21037058,23068674,24379393],"book":[4915201,17170433,37814273],"bytes":[1376261,1769479,4128769,4915205,5177346,6356995,6619137,8388610,9240578,9306115,10878979,11796481,14614530,16842754,17170438,19529731,22740995,22937601,23986182,25821190,28377089,31719426,33161218,34537475,34930692,35323905,37683203,38141953,39059460,40108034,40828930],"bitsperlimb":[40239108],"bin":[38010882],"base":[1179650,4915227,5177355,9240584,9306127,13369352,14614539,15990791,16908300,17170459,19529738,20250639,21823509,22741002,22937611,24576010,25559062,27656214,27983893,31719433,34209800,35520521,37683209,38731786,40108043,40828937],"byte":[196610,655362,1376258,2949123,4259845,4456454,4980738,5177350,7077889,7340034,12124161,13238277,17760258,18284550,18415622,18612226,19005446,19660806,22216710,22806531,22937609,23396354,23986183,24510466,26083330,27328516,27590661,29163526,29622278,30343173,31195140,32571395,33226758,33423365,33947652,34930696,35323909,35717125,38141956,39387138,40501254,40697857],"beginning":[20250625],"body":[31195137],"bound":[720897],"bugs":[12713985,31522817,39256065],"bit_index":[4915204,6029319,12451846,17170436,26869766,38273030],"borrows":[21889025,37945345],"buf":[4915204,8388615,14221320,16842759,17170436,30605320],"built":[20185089],"bigger":[1769473,39452673],"build":[20185091],"b1p":[37224454],"borrow":[22282245,25952261,26345477,27197445,27394053,30277637,36044805],"big":[1376257,9633793,17235970,20316161,24576001,26214401,32899073,36962305,38731777,39911426],"behaviour":[33882113],"building":[20185091,20643841,26345473,30998529],"better":[28442625,31588353],"best":[2293761,32505857]}
|
||||
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File diff suppressed because one or more lines are too long
|
|
@ -6,14 +6,30 @@
|
|||
architecture, thus allowing building Visual Studio Projects for AnyCPU, x86, or x64.
|
||||
It is based on the GNU MP "fat" build which automatically detects the current CPU type, and selects any available
|
||||
assembly language code optimization for that CPU, thus providing optimal performance.
|
||||
</p><p /><p><a href="http://en.cppreference.com/w/c/numeric/math" target="_blank">C Standard</a>
|
||||
functions that are missing from the .NET framework.
|
||||
Functions include among others:
|
||||
|
||||
Both double and single precision functions are implemented.
|
||||
All functions are static and their names follow the
|
||||
<a href="http://en.cppreference.com/w/c/numeric/math" target="_blank">C Standard</a>.
|
||||
</p><p>
|
||||
All functions have been thoroughly tested using a large set of unit tests that cover all
|
||||
limit cases to guarantee that all functions behave as specified by the C standard.
|
||||
</p></div><div class="collapsibleAreaRegion" id="seeAlsoSection"><span class="collapsibleRegionTitle" onclick="SectionExpandCollapse('ID0RB')" onkeypress="SectionExpandCollapse_CheckKey('ID0RB', event)" tabindex="0"><img id="ID0RBToggle" class="collapseToggle" src="../icons/SectionExpanded.png" />See Also</span></div><div id="ID0RBSection" class="collapsibleSection"><h4 class="subHeading">Other Resources</h4><div class="seeAlsoStyle"><a href="http://en.cppreference.com/w/c/numeric/math" target="_self">C Standard</a></div><div class="seeAlsoStyle"><a href="https://github.com/MachineCognitis/C.math.NET" target="_self">C.math.NET on GitHub</a></div></div></div></div><div id="pageFooter" class="pageFooter" /></body></html>
|
||||
</p></div><div class="collapsibleAreaRegion"><span class="collapsibleRegionTitle" onclick="SectionExpandCollapse('ID0RB')" onkeypress="SectionExpandCollapse_CheckKey('ID0RB', event)" tabindex="0"><img id="ID0RBToggle" class="collapseToggle" src="../icons/SectionExpanded.png" />Overview</span></div><div id="ID0RBSection" class="collapsibleSection"><p>
|
||||
The <a href="3af6b34c-3242-2b75-e7c7-ab79af8a4b0f.htm">gmp_lib</a> class has a static
|
||||
method for each one of the GNU MP functions.
|
||||
Other types are defined to mimic struct's and typedef's of the GNU MP and C libraries, as well as C language
|
||||
constructs such as <span class="code">char *</span> and <span class="code">void *</span>.
|
||||
</p><p>
|
||||
The GMP Native Interface for .NET Library relies on pre-built 32-bit and 64-bit versions of the GNU MP Library.
|
||||
Instructions for building the GNU MP Library on Windows are given below.
|
||||
</p><p>
|
||||
For convenience, this help file has been created from the GNU MP manual version 6.1.2. It shows with examples
|
||||
how each GNU MP function is called in .NET. For an introduction to GNU MP, refer to the
|
||||
<a href="https://gmplib.org/manual/" target="_blank">GNU MP Manual</a>.
|
||||
</p></div><div class="collapsibleAreaRegion"><span class="collapsibleRegionTitle" onclick="SectionExpandCollapse('ID1RB')" onkeypress="SectionExpandCollapse_CheckKey('ID1RB', event)" tabindex="0"><img id="ID1RBToggle" class="collapseToggle" src="../icons/SectionExpanded.png" />C and .NET Types Equivalence</span></div><div id="ID1RBSection" class="collapsibleSection"><p>
|
||||
The table below shows how each C type maps to .NET.
|
||||
Note that the <a href="bf1f694d-f9b2-6413-12e5-ebae603d5b49.htm">mp_limb_t</a>
|
||||
and <a href="d9761bfb-1882-59d2-e89b-c6460141f9a6.htm">size_t</a> C types map
|
||||
to the CPU word, i.e., 32 or 64 bits.
|
||||
In particular, because <a href="bf1f694d-f9b2-6413-12e5-ebae603d5b49.htm">mp_limb_t</a>
|
||||
is the type of the integers that make up multi-precision numbers, matching the CPU word size ensures
|
||||
maximum performance.
|
||||
Unless you intend to use low-level (mpn) functions, you do not need to take into account the
|
||||
CPU word size, and can build for the "Any CPU" platform.
|
||||
</p><div class="tableSection"><table><tr><th><p>C Types</p></th><th><p>.NET Types</p></th></tr><tr><td><p>short</p></td><td><p>Int16</p></td></tr><tr><td><p>int</p></td><td><p>Int32</p></td></tr><tr><td><p>long</p></td><td><p>Int32</p></td></tr><tr><td><p>long long</p></td><td><p>Int64</p></td></tr><tr><td><p><a href="1b2b1d64-20c1-7a64-0278-d9ff58ee9cc3.htm">mp_bitcnt_t</a></p></td><td><p>UInt32</p></td></tr><tr><td><p><a href="e6a17880-791f-37d4-4942-cf26ce7d4cbf.htm">mp_exp_t</a></p></td><td><p>Int32</p></td></tr><tr><td><p><a href="4b58a584-7a0e-b600-18fa-ebd493861eb3.htm">mp_size_t</a></p></td><td><p>Int32</p></td></tr><tr><td><p><a href="bf1f694d-f9b2-6413-12e5-ebae603d5b49.htm">mp_limb_t</a></p></td><td><p>UInt32 (on 32-bit CPU) / UInt64 (on 64-bit CPU)</p></td></tr><tr><td><p><a href="d9761bfb-1882-59d2-e89b-c6460141f9a6.htm">size_t</a></p></td><td><p>UInt32 (on 32-bit CPU) / UInt64 (on 64-bit CPU)</p></td></tr></table></div></div><div class="collapsibleAreaRegion"><span class="collapsibleRegionTitle" onclick="SectionExpandCollapse('ID2RB')" onkeypress="SectionExpandCollapse_CheckKey('ID2RB', event)" tabindex="0"><img id="ID2RBToggle" class="collapseToggle" src="../icons/SectionExpanded.png" />Building the GNU MP Library on Windows</span></div><div id="ID2RBSection" class="collapsibleSection"><ol><li><p>
|
||||
Install MSYS2
|
||||
</p><p>
|
||||
Get the latest version from...
|
||||
</p></li><li><p>Install yasm</p></li><li><p>Install GNU MP</p></li><li><p>Build GNU MP</p></li></ol></div><div class="collapsibleAreaRegion" id="seeAlsoSection"><span class="collapsibleRegionTitle" onclick="SectionExpandCollapse('ID3RB')" onkeypress="SectionExpandCollapse_CheckKey('ID3RB', event)" tabindex="0"><img id="ID3RBToggle" class="collapseToggle" src="../icons/SectionExpanded.png" />See Also</span></div><div id="ID3RBSection" class="collapsibleSection"><h4 class="subHeading">Other Resources</h4><div class="seeAlsoStyle"><a href="http://en.cppreference.com/w/c/numeric/math" target="_self">C Standard</a></div><div class="seeAlsoStyle"><a href="https://github.com/MachineCognitis/Math.Gmp.Native" target="_self">Math.Gmp.Native on GitHub</a></div></div></div></div><div id="pageFooter" class="pageFooter" /></body></html>
|
||||
Loading…
Reference in New Issue