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<p>implements the Grisu2 algorithm for binary to decimal floating-point conversion.
<a href="namespacenlohmann_1_1detail_1_1dtoa__impl.html#details">More...</a></p>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structnlohmann_1_1detail_1_1dtoa__impl_1_1cached__power.html">cached_power</a></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structnlohmann_1_1detail_1_1dtoa__impl_1_1diyfp.html">diyfp</a></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a1c5d30eb51e5e994a3f48bde104d2ce8"><td class="memTemplParams" colspan="2">template&lt;typename Target , typename Source &gt; </td></tr>
<tr class="memitem:a1c5d30eb51e5e994a3f48bde104d2ce8"><td class="memTemplItemLeft" align="right" valign="top">Target&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacenlohmann_1_1detail_1_1dtoa__impl.html#a1c5d30eb51e5e994a3f48bde104d2ce8">reinterpret_bits</a> (const Source source)</td></tr>
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<tr class="memitem:a22b6e37654ac93c6d0d9c06ec1bf5ded"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="structnlohmann_1_1detail_1_1dtoa__impl_1_1boundaries.html">boundaries</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacenlohmann_1_1detail_1_1dtoa__impl.html#a22b6e37654ac93c6d0d9c06ec1bf5ded">compute_boundaries</a> (FloatType value)</td></tr>
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<tr class="memitem:adbf329a18c5cf854a3477327afd2200b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structnlohmann_1_1detail_1_1dtoa__impl_1_1cached__power.html">cached_power</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacenlohmann_1_1detail_1_1dtoa__impl.html#adbf329a18c5cf854a3477327afd2200b">get_cached_power_for_binary_exponent</a> (int e)</td></tr>
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<tr class="memitem:a36ded358763b5dbcea9867660fbe4e28"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacenlohmann_1_1detail_1_1dtoa__impl.html#a36ded358763b5dbcea9867660fbe4e28">find_largest_pow10</a> (const std::uint32_t n, std::uint32_t &amp;pow10)</td></tr>
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<tr class="memitem:a5bc841e0bee12fd6489d49cf7bd07bb4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="namespacenlohmann_1_1detail.html#a59fca69799f6b9e366710cb9043aa77d">void</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacenlohmann_1_1detail_1_1dtoa__impl.html#a5bc841e0bee12fd6489d49cf7bd07bb4">grisu2_round</a> (char *buf, int len, std::uint64_t dist, std::uint64_t delta, std::uint64_t rest, std::uint64_t ten_k)</td></tr>
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<tr class="memitem:a9b899c72b0e1e3dd46d75c2b4e6bcdfb"><td class="memItemLeft" align="right" valign="top"><a class="el" href="namespacenlohmann_1_1detail.html#a59fca69799f6b9e366710cb9043aa77d">void</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacenlohmann_1_1detail_1_1dtoa__impl.html#a9b899c72b0e1e3dd46d75c2b4e6bcdfb">grisu2_digit_gen</a> (char *buffer, int &amp;length, int &amp;decimal_exponent, <a class="el" href="structnlohmann_1_1detail_1_1dtoa__impl_1_1diyfp.html">diyfp</a> M_minus, <a class="el" href="structnlohmann_1_1detail_1_1dtoa__impl_1_1diyfp.html">diyfp</a> w, <a class="el" href="structnlohmann_1_1detail_1_1dtoa__impl_1_1diyfp.html">diyfp</a> M_plus)</td></tr>
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<tr class="memitem:aab7a9670a4f4704a5d0347ad7588576b"><td class="memTemplParams" colspan="2">template&lt;typename FloatType &gt; </td></tr>
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<tr class="memitem:a78ad745d14b79fc65714c9938981faf6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="third_2nlohmann_2json_8hpp.html#a5f2aaec3b681d0a72f7d6e90b70cdcd1">JSON_HEDLEY_RETURNS_NON_NULL</a> char *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacenlohmann_1_1detail_1_1dtoa__impl.html#a78ad745d14b79fc65714c9938981faf6">append_exponent</a> (char *buf, int e)</td></tr>
<tr class="memdesc:a78ad745d14b79fc65714c9938981faf6"><td class="mdescLeft">&#160;</td><td class="mdescRight">appends a decimal representation of e to buf <a href="namespacenlohmann_1_1detail_1_1dtoa__impl.html#a78ad745d14b79fc65714c9938981faf6">More...</a><br /></td></tr>
<tr class="separator:a78ad745d14b79fc65714c9938981faf6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a0986c3e015db045df89506436f19e07c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="third_2nlohmann_2json_8hpp.html#a5f2aaec3b681d0a72f7d6e90b70cdcd1">JSON_HEDLEY_RETURNS_NON_NULL</a> char *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacenlohmann_1_1detail_1_1dtoa__impl.html#a0986c3e015db045df89506436f19e07c">format_buffer</a> (char *buf, int len, int decimal_exponent, int min_exp, int max_exp)</td></tr>
<tr class="memdesc:a0986c3e015db045df89506436f19e07c"><td class="mdescLeft">&#160;</td><td class="mdescRight">prettify v = buf * 10^decimal_exponent <a href="namespacenlohmann_1_1detail_1_1dtoa__impl.html#a0986c3e015db045df89506436f19e07c">More...</a><br /></td></tr>
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Variables</h2></td></tr>
<tr class="memitem:ac1ea1316de0b4a219f707c76b1db1966"><td class="memItemLeft" align="right" valign="top">constexpr int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacenlohmann_1_1detail_1_1dtoa__impl.html#ac1ea1316de0b4a219f707c76b1db1966">kAlpha</a> = -60</td></tr>
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<tr class="memitem:a4a750fcc38da1ce68b7e25ab3a230e20"><td class="memItemLeft" align="right" valign="top">constexpr int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacenlohmann_1_1detail_1_1dtoa__impl.html#a4a750fcc38da1ce68b7e25ab3a230e20">kGamma</a> = -32</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>implements the Grisu2 algorithm for binary to decimal floating-point conversion. </p>
<p>This implementation is a slightly modified version of the reference implementation which may be obtained from <a href="http://florian.loitsch.com/publications">http://florian.loitsch.com/publications</a> (bench.tar.gz).</p>
<p>The code is distributed under the MIT license, Copyright (c) 2009 Florian Loitsch.</p>
<p>For a detailed description of the algorithm see:</p>
<p>[1] Loitsch, "Printing Floating-Point Numbers Quickly and Accurately with
Integers", Proceedings of the ACM SIGPLAN 2010 Conference on Programming Language Design and Implementation, PLDI 2010 [2] Burger, Dybvig, "Printing Floating-Point Numbers Quickly and Accurately", Proceedings of the ACM SIGPLAN 1996 Conference on Programming Language Design and Implementation, PLDI 1996 </p>
</div><h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a78ad745d14b79fc65714c9938981faf6">&#9670;&nbsp;</a></span>append_exponent()</h2>
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<td class="memname"><a class="el" href="third_2nlohmann_2json_8hpp.html#a5f2aaec3b681d0a72f7d6e90b70cdcd1">JSON_HEDLEY_RETURNS_NON_NULL</a> char * nlohmann::detail::dtoa_impl::append_exponent </td>
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<p>appends a decimal representation of e to buf </p>
<dl class="section return"><dt>Returns</dt><dd>a pointer to the element following the exponent. </dd></dl>
<dl class="section pre"><dt>Precondition</dt><dd>-1000 &lt; e &lt; 1000 </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a22b6e37654ac93c6d0d9c06ec1bf5ded">&#9670;&nbsp;</a></span>compute_boundaries()</h2>
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template&lt;typename FloatType &gt; </div>
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<td class="memname"><a class="el" href="structnlohmann_1_1detail_1_1dtoa__impl_1_1boundaries.html">boundaries</a> nlohmann::detail::dtoa_impl::compute_boundaries </td>
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<p>Compute the (normalized) diyfp representing the input number 'value' and its boundaries.</p>
<dl class="section pre"><dt>Precondition</dt><dd>value must be finite and positive </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a36ded358763b5dbcea9867660fbe4e28">&#9670;&nbsp;</a></span>find_largest_pow10()</h2>
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<td class="memname">int nlohmann::detail::dtoa_impl::find_largest_pow10 </td>
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<p>For n != 0, returns k, such that pow10 := 10^(k-1) &lt;= n &lt; 10^k. For n == 0, returns 1 and sets pow10 := 1. </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a0986c3e015db045df89506436f19e07c">&#9670;&nbsp;</a></span>format_buffer()</h2>
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<td class="memname"><a class="el" href="third_2nlohmann_2json_8hpp.html#a5f2aaec3b681d0a72f7d6e90b70cdcd1">JSON_HEDLEY_RETURNS_NON_NULL</a> char * nlohmann::detail::dtoa_impl::format_buffer </td>
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<p>prettify v = buf * 10^decimal_exponent </p>
<p>If v is in the range [10^min_exp, 10^max_exp) it will be printed in fixed-point notation. Otherwise it will be printed in exponential notation.</p>
<dl class="section pre"><dt>Precondition</dt><dd>min_exp &lt; 0 </dd>
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max_exp &gt; 0 </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#adbf329a18c5cf854a3477327afd2200b">&#9670;&nbsp;</a></span>get_cached_power_for_binary_exponent()</h2>
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<td class="memname"><a class="el" href="structnlohmann_1_1detail_1_1dtoa__impl_1_1cached__power.html">cached_power</a> nlohmann::detail::dtoa_impl::get_cached_power_for_binary_exponent </td>
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<p>For a normalized diyfp w = f * 2^e, this function returns a (normalized) cached power-of-ten c = f_c * 2^e_c, such that the exponent of the product w * c satisfies (Definition 3.2 from [1]) </p><pre class="fragment"> alpha &lt;= e_c + e + q &lt;= gamma.
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<h2 class="memtitle"><span class="permalink"><a href="#a05b681dcb8569b9784c6dccfadb01633">&#9670;&nbsp;</a></span>grisu2() <span class="overload">[1/2]</span></h2>
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<td class="memname"><a class="el" href="namespacenlohmann_1_1detail.html#a59fca69799f6b9e366710cb9043aa77d">void</a> nlohmann::detail::dtoa_impl::grisu2 </td>
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<td class="paramtype">char *&#160;</td>
<td class="paramname"><em>buf</em>, </td>
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<td class="paramname"><em>decimal_exponent</em>, </td>
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<td class="paramtype"><a class="el" href="structnlohmann_1_1detail_1_1dtoa__impl_1_1diyfp.html">diyfp</a>&#160;</td>
<td class="paramname"><em>m_minus</em>, </td>
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<td class="paramtype"><a class="el" href="structnlohmann_1_1detail_1_1dtoa__impl_1_1diyfp.html">diyfp</a>&#160;</td>
<td class="paramname"><em>v</em>, </td>
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<td class="paramtype"><a class="el" href="structnlohmann_1_1detail_1_1dtoa__impl_1_1diyfp.html">diyfp</a>&#160;</td>
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<p>v = buf * 10^decimal_exponent len is the length of the buffer (number of decimal digits) The buffer must be large enough, i.e. &gt;= max_digits10. </p>
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<h2 class="memtitle"><span class="permalink"><a href="#aab7a9670a4f4704a5d0347ad7588576b">&#9670;&nbsp;</a></span>grisu2() <span class="overload">[2/2]</span></h2>
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template&lt;typename FloatType &gt; </div>
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<td class="memname"><a class="el" href="namespacenlohmann_1_1detail.html#a59fca69799f6b9e366710cb9043aa77d">void</a> nlohmann::detail::dtoa_impl::grisu2 </td>
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<td class="paramtype">int &amp;&#160;</td>
<td class="paramname"><em>len</em>, </td>
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<td class="paramtype">int &amp;&#160;</td>
<td class="paramname"><em>decimal_exponent</em>, </td>
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<p>v = buf * 10^decimal_exponent len is the length of the buffer (number of decimal digits) The buffer must be large enough, i.e. &gt;= max_digits10. </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a9b899c72b0e1e3dd46d75c2b4e6bcdfb">&#9670;&nbsp;</a></span>grisu2_digit_gen()</h2>
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<td class="memname"><a class="el" href="namespacenlohmann_1_1detail.html#a59fca69799f6b9e366710cb9043aa77d">void</a> nlohmann::detail::dtoa_impl::grisu2_digit_gen </td>
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<td class="paramtype">char *&#160;</td>
<td class="paramname"><em>buffer</em>, </td>
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<td class="paramtype">int &amp;&#160;</td>
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<td class="paramtype">int &amp;&#160;</td>
<td class="paramname"><em>decimal_exponent</em>, </td>
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<td class="paramtype"><a class="el" href="structnlohmann_1_1detail_1_1dtoa__impl_1_1diyfp.html">diyfp</a>&#160;</td>
<td class="paramname"><em>M_minus</em>, </td>
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<td class="paramtype"><a class="el" href="structnlohmann_1_1detail_1_1dtoa__impl_1_1diyfp.html">diyfp</a>&#160;</td>
<td class="paramname"><em>w</em>, </td>
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<td class="paramtype"><a class="el" href="structnlohmann_1_1detail_1_1dtoa__impl_1_1diyfp.html">diyfp</a>&#160;</td>
<td class="paramname"><em>M_plus</em>&#160;</td>
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<p>Generates V = buffer * 10^decimal_exponent, such that M- &lt;= V &lt;= M+. M- and M+ must be normalized and share the same exponent -60 &lt;= e &lt;= -32. </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a5bc841e0bee12fd6489d49cf7bd07bb4">&#9670;&nbsp;</a></span>grisu2_round()</h2>
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<td class="memname"><a class="el" href="namespacenlohmann_1_1detail.html#a59fca69799f6b9e366710cb9043aa77d">void</a> nlohmann::detail::dtoa_impl::grisu2_round </td>
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<td class="paramtype">char *&#160;</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a1c5d30eb51e5e994a3f48bde104d2ce8">&#9670;&nbsp;</a></span>reinterpret_bits()</h2>
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template&lt;typename Target , typename Source &gt; </div>
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<td class="memname">Target nlohmann::detail::dtoa_impl::reinterpret_bits </td>
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<h2 class="groupheader">Variable Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ac1ea1316de0b4a219f707c76b1db1966">&#9670;&nbsp;</a></span>kAlpha</h2>
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<td class="memname">constexpr int nlohmann::detail::dtoa_impl::kAlpha = -60</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a4a750fcc38da1ce68b7e25ab3a230e20">&#9670;&nbsp;</a></span>kGamma</h2>
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<td class="memname">constexpr int nlohmann::detail::dtoa_impl::kGamma = -32</td>
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