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<codeline lineno="1"><highlight class="comment">/*<sp/></highlight></codeline>
<codeline lineno="2"><highlight class="comment"><sp/>*<sp/><sp/><sp/><sp/><sp/><sp/>Copyright<sp/>(c)<sp/>2020<sp/>Robert<sp/>Shaw</highlight></codeline>
<codeline lineno="3"><highlight class="comment"><sp/>*<sp/><sp/><sp/><sp/><sp/><sp/>This<sp/>file<sp/>is<sp/>a<sp/>part<sp/>of<sp/>Libecpint.</highlight></codeline>
<codeline lineno="4"><highlight class="comment"><sp/>*</highlight></codeline>
<codeline lineno="5"><highlight class="comment"><sp/>*<sp/><sp/><sp/><sp/><sp/><sp/>Permission<sp/>is<sp/>hereby<sp/>granted,<sp/>free<sp/>of<sp/>charge,<sp/>to<sp/>any<sp/>person<sp/>obtaining</highlight></codeline>
<codeline lineno="6"><highlight class="comment"><sp/>*<sp/><sp/><sp/><sp/><sp/><sp/>a<sp/>copy<sp/>of<sp/>this<sp/>software<sp/>and<sp/>associated<sp/>documentation<sp/>files<sp/>(the</highlight></codeline>
<codeline lineno="7"><highlight class="comment"><sp/>*<sp/><sp/><sp/><sp/><sp/><sp/>&quot;Software&quot;),<sp/>to<sp/>deal<sp/>in<sp/>the<sp/>Software<sp/>without<sp/>restriction,<sp/>including</highlight></codeline>
<codeline lineno="8"><highlight class="comment"><sp/>*<sp/><sp/><sp/><sp/><sp/><sp/>without<sp/>limitation<sp/>the<sp/>rights<sp/>to<sp/>use,<sp/>copy,<sp/>modify,<sp/>merge,<sp/>publish,</highlight></codeline>
<codeline lineno="9"><highlight class="comment"><sp/>*<sp/><sp/><sp/><sp/><sp/><sp/>distribute,<sp/>sublicense,<sp/>and/or<sp/>sell<sp/>copies<sp/>of<sp/>the<sp/>Software,<sp/>and<sp/>to</highlight></codeline>
<codeline lineno="10"><highlight class="comment"><sp/>*<sp/><sp/><sp/><sp/><sp/><sp/>permit<sp/>persons<sp/>to<sp/>whom<sp/>the<sp/>Software<sp/>is<sp/>furnished<sp/>to<sp/>do<sp/>so,<sp/>subject<sp/>to</highlight></codeline>
<codeline lineno="11"><highlight class="comment"><sp/>*<sp/><sp/><sp/><sp/><sp/><sp/>the<sp/>following<sp/>conditions:</highlight></codeline>
<codeline lineno="12"><highlight class="comment"><sp/>*</highlight></codeline>
<codeline lineno="13"><highlight class="comment"><sp/>*<sp/><sp/><sp/><sp/><sp/><sp/>The<sp/>above<sp/>copyright<sp/>notice<sp/>and<sp/>this<sp/>permission<sp/>notice<sp/>shall<sp/>be</highlight></codeline>
<codeline lineno="14"><highlight class="comment"><sp/>*<sp/><sp/><sp/><sp/><sp/><sp/>included<sp/>in<sp/>all<sp/>copies<sp/>or<sp/>substantial<sp/>portions<sp/>of<sp/>the<sp/>Software.</highlight></codeline>
<codeline lineno="15"><highlight class="comment"><sp/>*</highlight></codeline>
<codeline lineno="16"><highlight class="comment"><sp/>*<sp/><sp/><sp/><sp/><sp/><sp/>THE<sp/>SOFTWARE<sp/>IS<sp/>PROVIDED<sp/>&quot;AS<sp/>IS&quot;,<sp/>WITHOUT<sp/>WARRANTY<sp/>OF<sp/>ANY<sp/>KIND,</highlight></codeline>
<codeline lineno="17"><highlight class="comment"><sp/>*<sp/><sp/><sp/><sp/><sp/><sp/>EXPRESS<sp/>OR<sp/>IMPLIED,<sp/>INCLUDING<sp/>BUT<sp/>NOT<sp/>LIMITED<sp/>TO<sp/>THE<sp/>WARRANTIES<sp/>OF</highlight></codeline>
<codeline lineno="18"><highlight class="comment"><sp/>*<sp/><sp/><sp/><sp/><sp/><sp/>MERCHANTABILITY,<sp/>FITNESS<sp/>FOR<sp/>A<sp/>PARTICULAR<sp/>PURPOSE<sp/>AND</highlight></codeline>
<codeline lineno="19"><highlight class="comment"><sp/>*<sp/><sp/><sp/><sp/><sp/><sp/>NONINFRINGEMENT.<sp/>IN<sp/>NO<sp/>EVENT<sp/>SHALL<sp/>THE<sp/>AUTHORS<sp/>OR<sp/>COPYRIGHT<sp/>HOLDERS<sp/>BE</highlight></codeline>
<codeline lineno="20"><highlight class="comment"><sp/>*<sp/><sp/><sp/><sp/><sp/><sp/>LIABLE<sp/>FOR<sp/>ANY<sp/>CLAIM,<sp/>DAMAGES<sp/>OR<sp/>OTHER<sp/>LIABILITY,<sp/>WHETHER<sp/>IN<sp/>AN<sp/>ACTION</highlight></codeline>
<codeline lineno="21"><highlight class="comment"><sp/>*<sp/><sp/><sp/><sp/><sp/><sp/>OF<sp/>CONTRACT,<sp/>TORT<sp/>OR<sp/>OTHERWISE,<sp/>ARISING<sp/>FROM,<sp/>OUT<sp/>OF<sp/>OR<sp/>IN<sp/>CONNECTION</highlight></codeline>
<codeline lineno="22"><highlight class="comment"><sp/>*<sp/><sp/><sp/><sp/><sp/><sp/>WITH<sp/>THE<sp/>SOFTWARE<sp/>OR<sp/>THE<sp/>USE<sp/>OR<sp/>OTHER<sp/>DEALINGS<sp/>IN<sp/>THE<sp/>SOFTWARE.</highlight></codeline>
<codeline lineno="23"><highlight class="comment"><sp/>*/</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="24"><highlight class="normal"></highlight></codeline>
<codeline lineno="25"><highlight class="normal"></highlight><highlight class="preprocessor">#ifndef<sp/>BESSEL_FUNCTION_HEAD</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="26"><highlight class="normal"></highlight><highlight class="preprocessor">#define<sp/>BESSEL_FUNCTION_HEAD</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="27"><highlight class="normal"></highlight></codeline>
<codeline lineno="28"><highlight class="normal"></highlight><highlight class="preprocessor">#include<sp/>&lt;vector&gt;</highlight><highlight class="normal"></highlight></codeline>
<codeline lineno="29"><highlight class="normal"></highlight></codeline>
<codeline lineno="30"><highlight class="normal"></highlight><highlight class="keyword">namespace<sp/></highlight><highlight class="normal"><ref refid="namespacelibecpint" kindref="compound">libecpint</ref><sp/>{</highlight></codeline>
<codeline lineno="31"><highlight class="normal"></highlight></codeline>
<codeline lineno="32" refid="namespacelibecpint_1a007003a219fbc1cce6980a389b1013bc" refkind="member"><highlight class="normal"><sp/><sp/><sp/><sp/>constexpr<sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/><ref refid="namespacelibecpint_1a007003a219fbc1cce6980a389b1013bc" kindref="member">SMALL</ref><sp/>=<sp/>1.0E-7;<sp/></highlight></codeline>
<codeline lineno="33" refid="namespacelibecpint_1a069479eb4b49ece5f8f9651b5f87c777" refkind="member"><highlight class="normal"><sp/><sp/><sp/><sp/>constexpr<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="namespacelibecpint_1a069479eb4b49ece5f8f9651b5f87c777" kindref="member">TAYLOR_CUT</ref><sp/>=<sp/>5;<sp/></highlight></codeline>
<codeline lineno="34"><highlight class="normal"></highlight></codeline>
<codeline lineno="46" refid="classlibecpint_1_1_bessel_function" refkind="compound"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">class<sp/></highlight><highlight class="normal"><ref refid="classlibecpint_1_1_bessel_function" kindref="compound">BesselFunction</ref><sp/></highlight></codeline>
<codeline lineno="47"><highlight class="normal"><sp/><sp/><sp/><sp/>{</highlight></codeline>
<codeline lineno="48"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">private</highlight><highlight class="normal">:</highlight></codeline>
<codeline lineno="49" refid="classlibecpint_1_1_bessel_function_1a9887b57c73d7e29abb8c008b26780cf8" refkind="member"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="classlibecpint_1_1_bessel_function_1a9887b57c73d7e29abb8c008b26780cf8" kindref="member">lMax</ref>;<sp/></highlight></codeline>
<codeline lineno="50" refid="classlibecpint_1_1_bessel_function_1a32363daa6c7b9a594e455034c9fab0ae" refkind="member"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="classlibecpint_1_1_bessel_function_1a32363daa6c7b9a594e455034c9fab0ae" kindref="member">N</ref>;<sp/></highlight></codeline>
<codeline lineno="51" refid="classlibecpint_1_1_bessel_function_1a7ec46212dae92d4bc86da2d611185ded" refkind="member"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="classlibecpint_1_1_bessel_function_1a7ec46212dae92d4bc86da2d611185ded" kindref="member">order</ref>;<sp/></highlight></codeline>
<codeline lineno="52" refid="classlibecpint_1_1_bessel_function_1a2b326d82d0cf8aea6f265c3e715eabe2" refkind="member"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/><ref refid="classlibecpint_1_1_bessel_function_1a2b326d82d0cf8aea6f265c3e715eabe2" kindref="member">scale</ref>;<sp/></highlight></codeline>
<codeline lineno="53"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="54" refid="classlibecpint_1_1_bessel_function_1a3569aa7989502d0eeb089ddde1bf9f56" refkind="member"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>**<ref refid="classlibecpint_1_1_bessel_function_1a3569aa7989502d0eeb089ddde1bf9f56" kindref="member">K</ref>;<sp/></highlight></codeline>
<codeline lineno="55" refid="classlibecpint_1_1_bessel_function_1a247a8a255ffbdffaccea63536ebb64b5" refkind="member"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>***<ref refid="classlibecpint_1_1_bessel_function_1a247a8a255ffbdffaccea63536ebb64b5" kindref="member">dK</ref>;<sp/></highlight></codeline>
<codeline lineno="56" refid="classlibecpint_1_1_bessel_function_1a5dcbfec899e1ed7fcba183b28b112538" refkind="member"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>*<ref refid="classlibecpint_1_1_bessel_function_1a5dcbfec899e1ed7fcba183b28b112538" kindref="member">C</ref>;<sp/></highlight></codeline>
<codeline lineno="57"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="63"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="classlibecpint_1_1_bessel_function_1ac89e404f3ee28a6cce430311473f6283" kindref="member">tabulate</ref>(</highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>accuracy);</highlight></codeline>
<codeline lineno="64"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="65"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight><highlight class="keyword">public</highlight><highlight class="normal">:</highlight></codeline>
<codeline lineno="67"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="classlibecpint_1_1_bessel_function_1af0e545daf8a60389bd010b2ab43a9375" kindref="member">BesselFunction</ref>();</highlight></codeline>
<codeline lineno="68"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="70"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="classlibecpint_1_1_bessel_function_1af0e545daf8a60389bd010b2ab43a9375" kindref="member">BesselFunction</ref>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="classlibecpint_1_1_bessel_function_1a9887b57c73d7e29abb8c008b26780cf8" kindref="member">lMax</ref>,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="classlibecpint_1_1_bessel_function_1a32363daa6c7b9a594e455034c9fab0ae" kindref="member">N</ref>,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="classlibecpint_1_1_bessel_function_1a7ec46212dae92d4bc86da2d611185ded" kindref="member">order</ref>,<sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>accuracy);</highlight></codeline>
<codeline lineno="71"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="73"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/><ref refid="classlibecpint_1_1_bessel_function_1af42c649bd46884942a9737e8cffaa78d" kindref="member">~BesselFunction</ref>();</highlight></codeline>
<codeline lineno="74"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="82"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/><ref refid="classlibecpint_1_1_bessel_function_1a3d48005863dfd0a4334ec0cf0caa38f7" kindref="member">init</ref>(</highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="classlibecpint_1_1_bessel_function_1a9887b57c73d7e29abb8c008b26780cf8" kindref="member">lMax</ref>,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="classlibecpint_1_1_bessel_function_1a32363daa6c7b9a594e455034c9fab0ae" kindref="member">N</ref>,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="classlibecpint_1_1_bessel_function_1a7ec46212dae92d4bc86da2d611185ded" kindref="member">order</ref>,<sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>accuracy);</highlight></codeline>
<codeline lineno="83"><highlight class="normal"><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="90"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">void</highlight><highlight class="normal"><sp/><ref refid="classlibecpint_1_1_bessel_function_1aee4c5856a1cfb6b8d0a2a7bdd82611cf" kindref="member">calculate</ref>(</highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>z,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/><ref refid="namespacelibecpint_1a190a564f849660c170e298aba2181d0a" kindref="member">maxL</ref>,<sp/>std::vector&lt;double&gt;<sp/>&amp;values)<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="91"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="97"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/><ref refid="classlibecpint_1_1_bessel_function_1aee4c5856a1cfb6b8d0a2a7bdd82611cf" kindref="member">calculate</ref>(</highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>z,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>L)<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="98"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight></codeline>
<codeline lineno="104"><highlight class="normal"><sp/><sp/><sp/><sp/><sp/><sp/><sp/><sp/></highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/><ref refid="classlibecpint_1_1_bessel_function_1a97e20ff7a5f9cf1f23cb6b07572344d9" kindref="member">upper_bound</ref>(</highlight><highlight class="keywordtype">double</highlight><highlight class="normal"><sp/>z,<sp/></highlight><highlight class="keywordtype">int</highlight><highlight class="normal"><sp/>L)<sp/></highlight><highlight class="keyword">const</highlight><highlight class="normal">;</highlight></codeline>
<codeline lineno="105"><highlight class="normal"><sp/><sp/><sp/><sp/>};</highlight></codeline>
<codeline lineno="106"><highlight class="normal"></highlight></codeline>
<codeline lineno="107"><highlight class="normal">}</highlight></codeline>
<codeline lineno="108"><highlight class="normal"></highlight><highlight class="preprocessor">#endif</highlight></codeline>
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