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<h1>stdlib_intrinsics.fypp
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<h2><span class="anchor" id="src"></span>Source Code</h2>
<div class="hl codehilite"><pre><span></span><a id="ln-1" name="ln-1" href="#ln-1"></a><span class="cp">#:include "common.fypp"</span>
<a id="ln-2" name="ln-2" href="#ln-2"></a><span class="cp">#:set I_KINDS_TYPES = list(zip(INT_KINDS, INT_TYPES, INT_KINDS))</span>
<a id="ln-3" name="ln-3" href="#ln-3"></a><span class="cp">#:set R_KINDS_TYPES = list(zip(REAL_KINDS, REAL_TYPES, REAL_SUFFIX))</span>
<a id="ln-4" name="ln-4" href="#ln-4"></a><span class="cp">#:set C_KINDS_TYPES = list(zip(CMPLX_KINDS, CMPLX_TYPES, CMPLX_SUFFIX))</span>
<a id="ln-5" name="ln-5" href="#ln-5"></a><span class="cp">#:set RANKS = range(2, MAXRANK + 1)</span>
<a id="ln-6" name="ln-6" href="#ln-6"></a>
<a id="ln-7" name="ln-7" href="#ln-7"></a><span class="k">module </span><span class="n">stdlib_intrinsics</span>
<a id="ln-8" name="ln-8" href="#ln-8"></a><span class="w"> </span><span class="c">!!Alternative implementations of some Fortran intrinsic functions offering either faster and/or more accurate evaluation.</span>
<a id="ln-9" name="ln-9" href="#ln-9"></a><span class="w"> </span><span class="c">!! ([Specification](../page/specs/stdlib_intrinsics.html))</span>
<a id="ln-10" name="ln-10" href="#ln-10"></a><span class="w"> </span><span class="k">use </span><span class="n">stdlib_kinds</span>
<a id="ln-11" name="ln-11" href="#ln-11"></a><span class="w"> </span><span class="k">implicit none</span>
<a id="ln-12" name="ln-12" href="#ln-12"></a><span class="k"> private</span>
<a id="ln-13" name="ln-13" href="#ln-13"></a>
<a id="ln-14" name="ln-14" href="#ln-14"></a><span class="k"> interface </span><span class="n">stdlib_sum</span>
<a id="ln-15" name="ln-15" href="#ln-15"></a><span class="w"> </span><span class="c">!! version: experimental </span>
<a id="ln-16" name="ln-16" href="#ln-16"></a><span class="w"> </span><span class="c">!!</span>
<a id="ln-17" name="ln-17" href="#ln-17"></a><span class="w"> </span><span class="c">!!### Summary </span>
<a id="ln-18" name="ln-18" href="#ln-18"></a><span class="w"> </span><span class="c">!! Sum elements of rank N arrays. </span>
<a id="ln-19" name="ln-19" href="#ln-19"></a><span class="w"> </span><span class="c">!! ([Specification](../page/specs/stdlib_intrinsics.html#stdlib_sum))</span>
<a id="ln-20" name="ln-20" href="#ln-20"></a><span class="w"> </span><span class="c">!!</span>
<a id="ln-21" name="ln-21" href="#ln-21"></a><span class="w"> </span><span class="c">!!### Description</span>
<a id="ln-22" name="ln-22" href="#ln-22"></a><span class="w"> </span><span class="c">!! </span>
<a id="ln-23" name="ln-23" href="#ln-23"></a><span class="w"> </span><span class="c">!! This interface provides standard conforming call for sum of elements of any rank.</span>
<a id="ln-24" name="ln-24" href="#ln-24"></a><span class="w"> </span><span class="c">!! The 1-D base implementation follows a chunked approach for optimizing performance and increasing accuracy.</span>
<a id="ln-25" name="ln-25" href="#ln-25"></a><span class="w"> </span><span class="c">!! The `N-D` interfaces calls upon the `(N-1)-D` implementation. </span>
<a id="ln-26" name="ln-26" href="#ln-26"></a><span class="w"> </span><span class="c">!! Supported data types include `real`, `complex` and `integer`.</span>
<a id="ln-27" name="ln-27" href="#ln-27"></a><span class="w"> </span><span class="c">!!</span>
<a id="ln-28" name="ln-28" href="#ln-28"></a><span class="w"> </span><span class="err">#</span><span class="p">:</span><span class="n">for</span><span class="w"> </span><span class="n">k</span><span class="p">,</span><span class="w"> </span><span class="n">t</span><span class="p">,</span><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="n">in</span><span class="w"> </span><span class="n">I_KINDS_TYPES</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">R_KINDS_TYPES</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">C_KINDS_TYPES</span>
<a id="ln-29" name="ln-29" href="#ln-29"></a><span class="w"> </span><span class="k">pure module function </span><span class="n">stdlib_sum_1d_$</span><span class="err">{</span><span class="n">s</span><span class="err">}$</span><span class="p">(</span><span class="n">a</span><span class="p">)</span><span class="w"> </span><span class="k">result</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
<a id="ln-30" name="ln-30" href="#ln-30"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">a</span><span class="p">(:)</span>
<a id="ln-31" name="ln-31" href="#ln-31"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">s</span>
<a id="ln-32" name="ln-32" href="#ln-32"></a><span class="w"> </span><span class="k">end function</span>
<a id="ln-33" name="ln-33" href="#ln-33"></a><span class="k"> pure module function </span><span class="n">stdlib_sum_1d_$</span><span class="err">{</span><span class="n">s</span><span class="err">}$_</span><span class="n">mask</span><span class="p">(</span><span class="n">a</span><span class="p">,</span><span class="n">mask</span><span class="p">)</span><span class="w"> </span><span class="k">result</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
<a id="ln-34" name="ln-34" href="#ln-34"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">a</span><span class="p">(:)</span>
<a id="ln-35" name="ln-35" href="#ln-35"></a><span class="w"> </span><span class="kt">logical</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">mask</span><span class="p">(:)</span>
<a id="ln-36" name="ln-36" href="#ln-36"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">s</span>
<a id="ln-37" name="ln-37" href="#ln-37"></a><span class="w"> </span><span class="k">end function</span>
<a id="ln-38" name="ln-38" href="#ln-38"></a><span class="w"> </span><span class="err">#</span><span class="p">:</span><span class="n">for</span><span class="w"> </span><span class="n">rank</span><span class="w"> </span><span class="n">in</span><span class="w"> </span><span class="n">RANKS</span>
<a id="ln-39" name="ln-39" href="#ln-39"></a><span class="w"> </span><span class="k">pure module function </span><span class="n">stdlib_sum_$</span><span class="err">{</span><span class="n">rank</span><span class="err">}$</span><span class="n">d_$</span><span class="err">{</span><span class="n">s</span><span class="err">}$</span><span class="p">(</span><span class="w"> </span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">mask</span><span class="w"> </span><span class="p">)</span><span class="w"> </span><span class="k">result</span><span class="p">(</span><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="p">)</span>
<a id="ln-40" name="ln-40" href="#ln-40"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">x$</span><span class="err">{</span><span class="n">ranksuffix</span><span class="p">(</span><span class="n">rank</span><span class="p">)</span><span class="err">}$</span>
<a id="ln-41" name="ln-41" href="#ln-41"></a><span class="w"> </span><span class="kt">logical</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">),</span><span class="w"> </span><span class="k">optional</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">mask$</span><span class="err">{</span><span class="n">ranksuffix</span><span class="p">(</span><span class="n">rank</span><span class="p">)</span><span class="err">}$</span>
<a id="ln-42" name="ln-42" href="#ln-42"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">s</span>
<a id="ln-43" name="ln-43" href="#ln-43"></a><span class="w"> </span><span class="k">end function</span>
<a id="ln-44" name="ln-44" href="#ln-44"></a><span class="k"> pure module function </span><span class="n">stdlib_sum_$</span><span class="err">{</span><span class="n">rank</span><span class="err">}$</span><span class="n">d_dim_$</span><span class="err">{</span><span class="n">s</span><span class="err">}$</span><span class="p">(</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="p">,</span><span class="w"> </span><span class="nb">dim</span><span class="p">,</span><span class="w"> </span><span class="n">mask</span><span class="w"> </span><span class="p">)</span><span class="w"> </span><span class="k">result</span><span class="p">(</span><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="p">)</span>
<a id="ln-45" name="ln-45" href="#ln-45"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">x$</span><span class="err">{</span><span class="n">ranksuffix</span><span class="p">(</span><span class="n">rank</span><span class="p">)</span><span class="err">}$</span>
<a id="ln-46" name="ln-46" href="#ln-46"></a><span class="w"> </span><span class="kt">integer</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">)</span><span class="kd">::</span><span class="w"> </span><span class="nb">dim</span>
<a id="ln-47" name="ln-47" href="#ln-47"></a><span class="nb"> </span><span class="kt">logical</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">),</span><span class="w"> </span><span class="k">optional</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">mask$</span><span class="err">{</span><span class="n">ranksuffix</span><span class="p">(</span><span class="n">rank</span><span class="p">)</span><span class="err">}$</span>
<a id="ln-48" name="ln-48" href="#ln-48"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">s$</span><span class="err">{</span><span class="n">reduced_shape</span><span class="p">(</span><span class="s1">'x'</span><span class="p">,</span><span class="w"> </span><span class="n">rank</span><span class="p">,</span><span class="w"> </span><span class="s1">'dim'</span><span class="p">)</span><span class="err">}$</span>
<a id="ln-49" name="ln-49" href="#ln-49"></a><span class="w"> </span><span class="k">end function</span>
<a id="ln-50" name="ln-50" href="#ln-50"></a><span class="w"> </span><span class="err">#</span><span class="p">:</span><span class="n">endfor</span>
<a id="ln-51" name="ln-51" href="#ln-51"></a><span class="w"> </span><span class="err">#</span><span class="p">:</span><span class="n">endfor</span>
<a id="ln-52" name="ln-52" href="#ln-52"></a><span class="w"> </span><span class="k">end interface</span>
<a id="ln-53" name="ln-53" href="#ln-53"></a><span class="k"> public</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">stdlib_sum</span>
<a id="ln-54" name="ln-54" href="#ln-54"></a>
<a id="ln-55" name="ln-55" href="#ln-55"></a><span class="w"> </span><span class="k">interface </span><span class="n">stdlib_sum_kahan</span>
<a id="ln-56" name="ln-56" href="#ln-56"></a><span class="w"> </span><span class="c">!! version: experimental </span>
<a id="ln-57" name="ln-57" href="#ln-57"></a><span class="w"> </span><span class="c">!!</span>
<a id="ln-58" name="ln-58" href="#ln-58"></a><span class="w"> </span><span class="c">!!### Summary </span>
<a id="ln-59" name="ln-59" href="#ln-59"></a><span class="w"> </span><span class="c">!! Sum elements of rank N arrays. </span>
<a id="ln-60" name="ln-60" href="#ln-60"></a><span class="w"> </span><span class="c">!! ([Specification](../page/specs/stdlib_intrinsics.html#stdlib_sum_kahan))</span>
<a id="ln-61" name="ln-61" href="#ln-61"></a><span class="w"> </span><span class="c">!!</span>
<a id="ln-62" name="ln-62" href="#ln-62"></a><span class="w"> </span><span class="c">!!### Description</span>
<a id="ln-63" name="ln-63" href="#ln-63"></a><span class="w"> </span><span class="c">!! </span>
<a id="ln-64" name="ln-64" href="#ln-64"></a><span class="w"> </span><span class="c">!! This interface provides standard conforming call for sum of elements of any rank.</span>
<a id="ln-65" name="ln-65" href="#ln-65"></a><span class="w"> </span><span class="c">!! The 1-D base implementation follows a chunked approach combined with a kahan kernel for optimizing performance and increasing accuracy.</span>
<a id="ln-66" name="ln-66" href="#ln-66"></a><span class="w"> </span><span class="c">!! The `N-D` interfaces calls upon the `(N-1)-D` implementation. </span>
<a id="ln-67" name="ln-67" href="#ln-67"></a><span class="w"> </span><span class="c">!! Supported data types include `real` and `complex`.</span>
<a id="ln-68" name="ln-68" href="#ln-68"></a><span class="w"> </span><span class="c">!!</span>
<a id="ln-69" name="ln-69" href="#ln-69"></a><span class="w"> </span><span class="err">#</span><span class="p">:</span><span class="n">for</span><span class="w"> </span><span class="n">k</span><span class="p">,</span><span class="w"> </span><span class="n">t</span><span class="p">,</span><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="n">in</span><span class="w"> </span><span class="n">R_KINDS_TYPES</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">C_KINDS_TYPES</span>
<a id="ln-70" name="ln-70" href="#ln-70"></a><span class="w"> </span><span class="k">pure module function </span><span class="n">stdlib_sum_kahan_1d_$</span><span class="err">{</span><span class="n">s</span><span class="err">}$</span><span class="p">(</span><span class="n">a</span><span class="p">)</span><span class="w"> </span><span class="k">result</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
<a id="ln-71" name="ln-71" href="#ln-71"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">a</span><span class="p">(:)</span>
<a id="ln-72" name="ln-72" href="#ln-72"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">s</span>
<a id="ln-73" name="ln-73" href="#ln-73"></a><span class="w"> </span><span class="k">end function</span>
<a id="ln-74" name="ln-74" href="#ln-74"></a><span class="k"> pure module function </span><span class="n">stdlib_sum_kahan_1d_$</span><span class="err">{</span><span class="n">s</span><span class="err">}$_</span><span class="n">mask</span><span class="p">(</span><span class="n">a</span><span class="p">,</span><span class="n">mask</span><span class="p">)</span><span class="w"> </span><span class="k">result</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
<a id="ln-75" name="ln-75" href="#ln-75"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">a</span><span class="p">(:)</span>
<a id="ln-76" name="ln-76" href="#ln-76"></a><span class="w"> </span><span class="kt">logical</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">mask</span><span class="p">(:)</span>
<a id="ln-77" name="ln-77" href="#ln-77"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">s</span>
<a id="ln-78" name="ln-78" href="#ln-78"></a><span class="w"> </span><span class="k">end function</span>
<a id="ln-79" name="ln-79" href="#ln-79"></a><span class="w"> </span><span class="err">#</span><span class="p">:</span><span class="n">for</span><span class="w"> </span><span class="n">rank</span><span class="w"> </span><span class="n">in</span><span class="w"> </span><span class="n">RANKS</span>
<a id="ln-80" name="ln-80" href="#ln-80"></a><span class="w"> </span><span class="k">pure module function </span><span class="n">stdlib_sum_kahan_$</span><span class="err">{</span><span class="n">rank</span><span class="err">}$</span><span class="n">d_$</span><span class="err">{</span><span class="n">s</span><span class="err">}$</span><span class="p">(</span><span class="w"> </span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">mask</span><span class="w"> </span><span class="p">)</span><span class="w"> </span><span class="k">result</span><span class="p">(</span><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="p">)</span>
<a id="ln-81" name="ln-81" href="#ln-81"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">x$</span><span class="err">{</span><span class="n">ranksuffix</span><span class="p">(</span><span class="n">rank</span><span class="p">)</span><span class="err">}$</span>
<a id="ln-82" name="ln-82" href="#ln-82"></a><span class="w"> </span><span class="kt">logical</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">),</span><span class="w"> </span><span class="k">optional</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">mask$</span><span class="err">{</span><span class="n">ranksuffix</span><span class="p">(</span><span class="n">rank</span><span class="p">)</span><span class="err">}$</span>
<a id="ln-83" name="ln-83" href="#ln-83"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">s</span>
<a id="ln-84" name="ln-84" href="#ln-84"></a><span class="w"> </span><span class="k">end function</span>
<a id="ln-85" name="ln-85" href="#ln-85"></a><span class="k"> pure module function </span><span class="n">stdlib_sum_kahan_$</span><span class="err">{</span><span class="n">rank</span><span class="err">}$</span><span class="n">d_dim_$</span><span class="err">{</span><span class="n">s</span><span class="err">}$</span><span class="p">(</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="p">,</span><span class="w"> </span><span class="nb">dim</span><span class="p">,</span><span class="w"> </span><span class="n">mask</span><span class="w"> </span><span class="p">)</span><span class="w"> </span><span class="k">result</span><span class="p">(</span><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="p">)</span>
<a id="ln-86" name="ln-86" href="#ln-86"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">x$</span><span class="err">{</span><span class="n">ranksuffix</span><span class="p">(</span><span class="n">rank</span><span class="p">)</span><span class="err">}$</span>
<a id="ln-87" name="ln-87" href="#ln-87"></a><span class="w"> </span><span class="kt">integer</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">)</span><span class="kd">::</span><span class="w"> </span><span class="nb">dim</span>
<a id="ln-88" name="ln-88" href="#ln-88"></a><span class="nb"> </span><span class="kt">logical</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">),</span><span class="w"> </span><span class="k">optional</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">mask$</span><span class="err">{</span><span class="n">ranksuffix</span><span class="p">(</span><span class="n">rank</span><span class="p">)</span><span class="err">}$</span>
<a id="ln-89" name="ln-89" href="#ln-89"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">s$</span><span class="err">{</span><span class="n">reduced_shape</span><span class="p">(</span><span class="s1">'x'</span><span class="p">,</span><span class="w"> </span><span class="n">rank</span><span class="p">,</span><span class="w"> </span><span class="s1">'dim'</span><span class="p">)</span><span class="err">}$</span>
<a id="ln-90" name="ln-90" href="#ln-90"></a><span class="w"> </span><span class="k">end function</span>
<a id="ln-91" name="ln-91" href="#ln-91"></a><span class="w"> </span><span class="err">#</span><span class="p">:</span><span class="n">endfor</span>
<a id="ln-92" name="ln-92" href="#ln-92"></a><span class="w"> </span><span class="err">#</span><span class="p">:</span><span class="n">endfor</span>
<a id="ln-93" name="ln-93" href="#ln-93"></a><span class="w"> </span><span class="k">end interface</span>
<a id="ln-94" name="ln-94" href="#ln-94"></a><span class="k"> public</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">stdlib_sum_kahan</span>
<a id="ln-95" name="ln-95" href="#ln-95"></a>
<a id="ln-96" name="ln-96" href="#ln-96"></a><span class="w"> </span><span class="k">interface </span><span class="n">stdlib_dot_product</span>
<a id="ln-97" name="ln-97" href="#ln-97"></a><span class="w"> </span><span class="c">!! version: experimental </span>
<a id="ln-98" name="ln-98" href="#ln-98"></a><span class="w"> </span><span class="c">!!</span>
<a id="ln-99" name="ln-99" href="#ln-99"></a><span class="w"> </span><span class="c">!!### Summary </span>
<a id="ln-100" name="ln-100" href="#ln-100"></a><span class="w"> </span><span class="c">!! dot_product of rank 1 arrays. </span>
<a id="ln-101" name="ln-101" href="#ln-101"></a><span class="w"> </span><span class="c">!! ([Specification](../page/specs/stdlib_intrinsics.html#stdlib_dot_product))</span>
<a id="ln-102" name="ln-102" href="#ln-102"></a><span class="w"> </span><span class="c">!!</span>
<a id="ln-103" name="ln-103" href="#ln-103"></a><span class="w"> </span><span class="c">!!### Description</span>
<a id="ln-104" name="ln-104" href="#ln-104"></a><span class="w"> </span><span class="c">!! </span>
<a id="ln-105" name="ln-105" href="#ln-105"></a><span class="w"> </span><span class="c">!! compute the dot_product of rank 1 arrays.</span>
<a id="ln-106" name="ln-106" href="#ln-106"></a><span class="w"> </span><span class="c">!! The 1-D base implementation follows a chunked approach for optimizing performance and increasing accuracy.</span>
<a id="ln-107" name="ln-107" href="#ln-107"></a><span class="w"> </span><span class="c">!! Supported data types include `real`, `complex` and `integer`.</span>
<a id="ln-108" name="ln-108" href="#ln-108"></a><span class="w"> </span><span class="c">!!</span>
<a id="ln-109" name="ln-109" href="#ln-109"></a><span class="w"> </span><span class="err">#</span><span class="p">:</span><span class="n">for</span><span class="w"> </span><span class="n">k</span><span class="p">,</span><span class="w"> </span><span class="n">t</span><span class="p">,</span><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="n">in</span><span class="w"> </span><span class="n">I_KINDS_TYPES</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">R_KINDS_TYPES</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">C_KINDS_TYPES</span>
<a id="ln-110" name="ln-110" href="#ln-110"></a><span class="w"> </span><span class="k">pure module function </span><span class="n">stdlib_dot_product_$</span><span class="err">{</span><span class="n">s</span><span class="err">}$</span><span class="p">(</span><span class="n">a</span><span class="p">,</span><span class="n">b</span><span class="p">)</span><span class="w"> </span><span class="k">result</span><span class="p">(</span><span class="n">p</span><span class="p">)</span>
<a id="ln-111" name="ln-111" href="#ln-111"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">a</span><span class="p">(:)</span>
<a id="ln-112" name="ln-112" href="#ln-112"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">b</span><span class="p">(:)</span>
<a id="ln-113" name="ln-113" href="#ln-113"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">p</span>
<a id="ln-114" name="ln-114" href="#ln-114"></a><span class="w"> </span><span class="k">end function</span>
<a id="ln-115" name="ln-115" href="#ln-115"></a><span class="w"> </span><span class="err">#</span><span class="p">:</span><span class="n">endfor</span>
<a id="ln-116" name="ln-116" href="#ln-116"></a><span class="w"> </span><span class="k">end interface</span>
<a id="ln-117" name="ln-117" href="#ln-117"></a><span class="k"> public</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">stdlib_dot_product</span>
<a id="ln-118" name="ln-118" href="#ln-118"></a>
<a id="ln-119" name="ln-119" href="#ln-119"></a><span class="w"> </span><span class="k">interface </span><span class="n">stdlib_dot_product_kahan</span>
<a id="ln-120" name="ln-120" href="#ln-120"></a><span class="w"> </span><span class="c">!! version: experimental </span>
<a id="ln-121" name="ln-121" href="#ln-121"></a><span class="w"> </span><span class="c">!!</span>
<a id="ln-122" name="ln-122" href="#ln-122"></a><span class="w"> </span><span class="c">!!### Summary </span>
<a id="ln-123" name="ln-123" href="#ln-123"></a><span class="w"> </span><span class="c">!! dot_product of rank 1 arrays. </span>
<a id="ln-124" name="ln-124" href="#ln-124"></a><span class="w"> </span><span class="c">!! ([Specification](../page/specs/stdlib_intrinsics.html#stdlib_dot_product_kahan))</span>
<a id="ln-125" name="ln-125" href="#ln-125"></a><span class="w"> </span><span class="c">!!</span>
<a id="ln-126" name="ln-126" href="#ln-126"></a><span class="w"> </span><span class="c">!!### Description</span>
<a id="ln-127" name="ln-127" href="#ln-127"></a><span class="w"> </span><span class="c">!! </span>
<a id="ln-128" name="ln-128" href="#ln-128"></a><span class="w"> </span><span class="c">!! compute the dot_product of rank 1 arrays.</span>
<a id="ln-129" name="ln-129" href="#ln-129"></a><span class="w"> </span><span class="c">!! The implementation follows a chunked approach combined with a kahan kernel for optimizing performance and increasing accuracy.</span>
<a id="ln-130" name="ln-130" href="#ln-130"></a><span class="w"> </span><span class="c">!! Supported data types include `real` and `complex`.</span>
<a id="ln-131" name="ln-131" href="#ln-131"></a><span class="w"> </span><span class="c">!!</span>
<a id="ln-132" name="ln-132" href="#ln-132"></a><span class="w"> </span><span class="err">#</span><span class="p">:</span><span class="n">for</span><span class="w"> </span><span class="n">k</span><span class="p">,</span><span class="w"> </span><span class="n">t</span><span class="p">,</span><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="n">in</span><span class="w"> </span><span class="n">R_KINDS_TYPES</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">C_KINDS_TYPES</span>
<a id="ln-133" name="ln-133" href="#ln-133"></a><span class="w"> </span><span class="k">pure module function </span><span class="n">stdlib_dot_product_kahan_$</span><span class="err">{</span><span class="n">s</span><span class="err">}$</span><span class="p">(</span><span class="n">a</span><span class="p">,</span><span class="n">b</span><span class="p">)</span><span class="w"> </span><span class="k">result</span><span class="p">(</span><span class="n">p</span><span class="p">)</span>
<a id="ln-134" name="ln-134" href="#ln-134"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">a</span><span class="p">(:)</span>
<a id="ln-135" name="ln-135" href="#ln-135"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">b</span><span class="p">(:)</span>
<a id="ln-136" name="ln-136" href="#ln-136"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">p</span>
<a id="ln-137" name="ln-137" href="#ln-137"></a><span class="w"> </span><span class="k">end function</span>
<a id="ln-138" name="ln-138" href="#ln-138"></a><span class="w"> </span><span class="err">#</span><span class="p">:</span><span class="n">endfor</span>
<a id="ln-139" name="ln-139" href="#ln-139"></a><span class="w"> </span><span class="k">end interface</span>
<a id="ln-140" name="ln-140" href="#ln-140"></a><span class="k"> public</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">stdlib_dot_product_kahan</span>
<a id="ln-141" name="ln-141" href="#ln-141"></a>
<a id="ln-142" name="ln-142" href="#ln-142"></a><span class="w"> </span><span class="k">interface </span><span class="n">kahan_kernel</span><span class="w"> </span>
<a id="ln-143" name="ln-143" href="#ln-143"></a><span class="w"> </span><span class="err">#</span><span class="p">:</span><span class="n">for</span><span class="w"> </span><span class="n">k</span><span class="p">,</span><span class="w"> </span><span class="n">t</span><span class="p">,</span><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="n">in</span><span class="w"> </span><span class="n">R_KINDS_TYPES</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">C_KINDS_TYPES</span>
<a id="ln-144" name="ln-144" href="#ln-144"></a><span class="w"> </span><span class="k">module procedure</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">kahan_kernel_$</span><span class="err">{</span><span class="n">s</span><span class="err">}$</span>
<a id="ln-145" name="ln-145" href="#ln-145"></a><span class="w"> </span><span class="k">module procedure</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">kahan_kernel_m_$</span><span class="err">{</span><span class="n">s</span><span class="err">}$</span>
<a id="ln-146" name="ln-146" href="#ln-146"></a><span class="w"> </span><span class="err">#</span><span class="p">:</span><span class="n">endfor</span>
<a id="ln-147" name="ln-147" href="#ln-147"></a><span class="w"> </span><span class="k">end interface</span>
<a id="ln-148" name="ln-148" href="#ln-148"></a><span class="k"> public</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">kahan_kernel</span>
<a id="ln-149" name="ln-149" href="#ln-149"></a><span class="w"> </span>
<a id="ln-150" name="ln-150" href="#ln-150"></a><span class="k">contains</span>
<a id="ln-151" name="ln-151" href="#ln-151"></a>
<a id="ln-152" name="ln-152" href="#ln-152"></a><span class="cp">#:for k, t, s in R_KINDS_TYPES + C_KINDS_TYPES</span>
<a id="ln-153" name="ln-153" href="#ln-153"></a><span class="k">elemental subroutine </span><span class="n">kahan_kernel_$</span><span class="err">{</span><span class="n">s</span><span class="err">}$</span><span class="p">(</span><span class="n">a</span><span class="p">,</span><span class="n">s</span><span class="p">,</span><span class="n">c</span><span class="p">)</span>
<a id="ln-154" name="ln-154" href="#ln-154"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">a</span>
<a id="ln-155" name="ln-155" href="#ln-155"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">inout</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">s</span>
<a id="ln-156" name="ln-156" href="#ln-156"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">inout</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">c</span>
<a id="ln-157" name="ln-157" href="#ln-157"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">t</span><span class="p">,</span><span class="w"> </span><span class="n">y</span>
<a id="ln-158" name="ln-158" href="#ln-158"></a><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">a</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">c</span>
<a id="ln-159" name="ln-159" href="#ln-159"></a><span class="w"> </span><span class="n">t</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">y</span>
<a id="ln-160" name="ln-160" href="#ln-160"></a><span class="w"> </span><span class="n">c</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">t</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">s</span><span class="p">)</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">y</span>
<a id="ln-161" name="ln-161" href="#ln-161"></a><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">t</span>
<a id="ln-162" name="ln-162" href="#ln-162"></a><span class="k">end subroutine </span>
<a id="ln-163" name="ln-163" href="#ln-163"></a><span class="k">elemental subroutine </span><span class="n">kahan_kernel_m_$</span><span class="err">{</span><span class="n">s</span><span class="err">}$</span><span class="p">(</span><span class="n">a</span><span class="p">,</span><span class="n">s</span><span class="p">,</span><span class="n">c</span><span class="p">,</span><span class="n">m</span><span class="p">)</span>
<a id="ln-164" name="ln-164" href="#ln-164"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">a</span>
<a id="ln-165" name="ln-165" href="#ln-165"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">inout</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">s</span>
<a id="ln-166" name="ln-166" href="#ln-166"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">inout</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">c</span>
<a id="ln-167" name="ln-167" href="#ln-167"></a><span class="w"> </span><span class="kt">logical</span><span class="p">,</span><span class="w"> </span><span class="k">intent</span><span class="p">(</span><span class="n">in</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">m</span>
<a id="ln-168" name="ln-168" href="#ln-168"></a><span class="w"> </span><span class="err">${</span><span class="n">t</span><span class="err">}$</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">t</span><span class="p">,</span><span class="w"> </span><span class="n">y</span>
<a id="ln-169" name="ln-169" href="#ln-169"></a><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">a</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">c</span>
<a id="ln-170" name="ln-170" href="#ln-170"></a><span class="w"> </span><span class="n">t</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">y</span>
<a id="ln-171" name="ln-171" href="#ln-171"></a><span class="w"> </span><span class="n">c</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">t</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">s</span><span class="p">)</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">y</span>
<a id="ln-172" name="ln-172" href="#ln-172"></a><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">merge</span><span class="p">(</span><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="p">,</span><span class="w"> </span><span class="n">t</span><span class="w"> </span><span class="p">,</span><span class="w"> </span><span class="n">m</span><span class="w"> </span><span class="p">)</span>
<a id="ln-173" name="ln-173" href="#ln-173"></a><span class="k">end subroutine</span><span class="w"> </span>
<a id="ln-174" name="ln-174" href="#ln-174"></a><span class="cp">#:endfor</span>
<a id="ln-175" name="ln-175" href="#ln-175"></a>
<a id="ln-176" name="ln-176" href="#ln-176"></a><span class="k">end module </span><span class="n">stdlib_intrinsics</span>
</pre></div>
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