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<h1>stdlib_intrinsics_dot_product.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>
<a id="ln-6" name="ln-6" href="#ln-6"></a><span class="cp">#:def cnjg(type,expression)</span>
<a id="ln-7" name="ln-7" href="#ln-7"></a><span class="cp">#:if 'complex' in type</span>
<a id="ln-8" name="ln-8" href="#ln-8"></a><span class="nb">conjg</span><span class="p">(</span><span class="err">${</span><span class="n">expression</span><span class="err">}$</span><span class="p">)</span>
<a id="ln-9" name="ln-9" href="#ln-9"></a><span class="cp">#:else</span>
<a id="ln-10" name="ln-10" href="#ln-10"></a><span class="err">${</span><span class="n">expression</span><span class="err">}$</span>
<a id="ln-11" name="ln-11" href="#ln-11"></a><span class="cp">#:endif</span>
<a id="ln-12" name="ln-12" href="#ln-12"></a><span class="cp">#:enddef</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">submodule</span><span class="p">(</span><span class="n">stdlib_intrinsics</span><span class="p">)</span><span class="w"> </span><span class="n">stdlib_intrinsics_dot_product</span>
<a id="ln-15" name="ln-15" href="#ln-15"></a><span class="w"> </span><span class="c">!!Replacement for certain Fortran intrinsic functions offering either faster and/or more accurate implementations.</span>
<a id="ln-16" name="ln-16" href="#ln-16"></a><span class="w"> </span><span class="c">!! ([Specification](../page/specs/stdlib_intrinsics.html))</span>
<a id="ln-17" name="ln-17" href="#ln-17"></a><span class="w"> </span><span class="k">use </span><span class="n">stdlib_kinds</span>
<a id="ln-18" name="ln-18" href="#ln-18"></a><span class="w"> </span><span class="k">use </span><span class="n">stdlib_constants</span>
<a id="ln-19" name="ln-19" href="#ln-19"></a><span class="w"> </span><span class="k">implicit none</span>
<a id="ln-20" name="ln-20" href="#ln-20"></a>
<a id="ln-21" name="ln-21" href="#ln-21"></a><span class="k"> </span><span class="kt">integer</span><span class="p">,</span><span class="w"> </span><span class="k">parameter</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">ilp</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">int64</span>
<a id="ln-22" name="ln-22" href="#ln-22"></a><span class="w"> </span>
<a id="ln-23" name="ln-23" href="#ln-23"></a><span class="k">contains</span>
<a id="ln-24" name="ln-24" href="#ln-24"></a><span class="c">! This implementation is based on https://github.com/jalvesz/fast_math</span>
<a id="ln-25" name="ln-25" href="#ln-25"></a><span class="cp">#:for k, t, s in I_KINDS_TYPES + R_KINDS_TYPES + C_KINDS_TYPES</span>
<a id="ln-26" name="ln-26" href="#ln-26"></a><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-27" name="ln-27" href="#ln-27"></a><span class="w"> </span><span class="kt">integer</span><span class="p">(</span><span class="n">ilp</span><span class="p">),</span><span class="w"> </span><span class="k">parameter</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">chunk</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">64</span>
<a id="ln-28" name="ln-28" href="#ln-28"></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-29" name="ln-29" href="#ln-29"></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-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="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">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">abatch</span><span class="p">(</span><span class="n">chunk</span><span class="p">)</span>
<a id="ln-32" name="ln-32" href="#ln-32"></a><span class="w"> </span><span class="kt">integer</span><span class="p">(</span><span class="n">ilp</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="n">n</span><span class="p">,</span><span class="w"> </span><span class="n">r</span>
<a id="ln-33" name="ln-33" href="#ln-33"></a><span class="w"> </span><span class="c">! -----------------------------</span>
<a id="ln-34" name="ln-34" href="#ln-34"></a><span class="w"> </span><span class="n">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">size</span><span class="p">(</span><span class="n">a</span><span class="p">,</span><span class="nb">kind</span><span class="o">=</span><span class="n">ilp</span><span class="p">)</span>
<a id="ln-35" name="ln-35" href="#ln-35"></a><span class="w"> </span><span class="n">r</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">mod</span><span class="p">(</span><span class="n">n</span><span class="p">,</span><span class="n">chunk</span><span class="p">)</span>
<a id="ln-36" name="ln-36" href="#ln-36"></a>
<a id="ln-37" name="ln-37" href="#ln-37"></a><span class="w"> </span><span class="n">abatch</span><span class="p">(</span><span class="mi">1</span><span class="p">:</span><span class="n">r</span><span class="p">)</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">a</span><span class="p">(</span><span class="mi">1</span><span class="p">:</span><span class="n">r</span><span class="p">)</span><span class="o">*</span><span class="err">${</span><span class="n">cnjg</span><span class="p">(</span><span class="n">t</span><span class="p">,</span><span class="s1">'b(1:r)'</span><span class="p">)</span><span class="err">}$</span>
<a id="ln-38" name="ln-38" href="#ln-38"></a><span class="w"> </span><span class="n">abatch</span><span class="p">(</span><span class="n">r</span><span class="o">+</span><span class="mi">1</span><span class="p">:</span><span class="n">chunk</span><span class="p">)</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">zero_$</span><span class="err">{</span><span class="n">s</span><span class="err">}$</span>
<a id="ln-39" name="ln-39" href="#ln-39"></a><span class="w"> </span><span class="k">do </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">r</span><span class="o">+</span><span class="mi">1</span><span class="p">,</span><span class="w"> </span><span class="n">n</span><span class="o">-</span><span class="n">r</span><span class="p">,</span><span class="w"> </span><span class="n">chunk</span>
<a id="ln-40" name="ln-40" href="#ln-40"></a><span class="w"> </span><span class="n">abatch</span><span class="p">(</span><span class="mi">1</span><span class="p">:</span><span class="n">chunk</span><span class="p">)</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">abatch</span><span class="p">(</span><span class="mi">1</span><span class="p">:</span><span class="n">chunk</span><span class="p">)</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">a</span><span class="p">(</span><span class="n">i</span><span class="p">:</span><span class="n">i</span><span class="o">+</span><span class="n">chunk</span><span class="o">-</span><span class="mi">1</span><span class="p">)</span><span class="o">*</span><span class="err">${</span><span class="n">cnjg</span><span class="p">(</span><span class="n">t</span><span class="p">,</span><span class="s1">'b(i:i+chunk-1)'</span><span class="p">)</span><span class="err">}$</span>
<a id="ln-41" name="ln-41" href="#ln-41"></a><span class="w"> </span><span class="k">end do</span>
<a id="ln-42" name="ln-42" href="#ln-42"></a>
<a id="ln-43" name="ln-43" href="#ln-43"></a><span class="k"> </span><span class="n">p</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">zero_$</span><span class="err">{</span><span class="n">s</span><span class="err">}$</span>
<a id="ln-44" name="ln-44" href="#ln-44"></a><span class="w"> </span><span class="k">do </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span><span class="p">,</span><span class="w"> </span><span class="n">chunk</span><span class="o">/</span><span class="mi">2</span>
<a id="ln-45" name="ln-45" href="#ln-45"></a><span class="w"> </span><span class="n">p</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">p</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">abatch</span><span class="p">(</span><span class="n">i</span><span class="p">)</span><span class="o">+</span><span class="n">abatch</span><span class="p">(</span><span class="n">chunk</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">i</span><span class="p">)</span>
<a id="ln-46" name="ln-46" href="#ln-46"></a><span class="w"> </span><span class="k">end do</span>
<a id="ln-47" name="ln-47" href="#ln-47"></a><span class="k">end function</span>
<a id="ln-48" name="ln-48" href="#ln-48"></a><span class="cp">#:endfor</span>
<a id="ln-49" name="ln-49" href="#ln-49"></a>
<a id="ln-50" name="ln-50" href="#ln-50"></a><span class="cp">#:for k, t, s in R_KINDS_TYPES + C_KINDS_TYPES</span>
<a id="ln-51" name="ln-51" href="#ln-51"></a><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-52" name="ln-52" href="#ln-52"></a><span class="w"> </span><span class="kt">integer</span><span class="p">(</span><span class="n">ilp</span><span class="p">),</span><span class="w"> </span><span class="k">parameter</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">chunk</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">64</span>
<a id="ln-53" name="ln-53" href="#ln-53"></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-54" name="ln-54" href="#ln-54"></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-55" name="ln-55" href="#ln-55"></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-56" name="ln-56" href="#ln-56"></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">abatch</span><span class="p">(</span><span class="n">chunk</span><span class="p">)</span>
<a id="ln-57" name="ln-57" href="#ln-57"></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">cbatch</span><span class="p">(</span><span class="n">chunk</span><span class="p">)</span>
<a id="ln-58" name="ln-58" href="#ln-58"></a><span class="w"> </span><span class="kt">integer</span><span class="p">(</span><span class="n">ilp</span><span class="p">)</span><span class="w"> </span><span class="kd">::</span><span class="w"> </span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="n">n</span><span class="p">,</span><span class="w"> </span><span class="n">r</span>
<a id="ln-59" name="ln-59" href="#ln-59"></a><span class="w"> </span><span class="c">! -----------------------------</span>
<a id="ln-60" name="ln-60" href="#ln-60"></a><span class="w"> </span><span class="n">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">size</span><span class="p">(</span><span class="n">a</span><span class="p">,</span><span class="nb">kind</span><span class="o">=</span><span class="n">ilp</span><span class="p">)</span>
<a id="ln-61" name="ln-61" href="#ln-61"></a><span class="w"> </span><span class="n">r</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">mod</span><span class="p">(</span><span class="n">n</span><span class="p">,</span><span class="n">chunk</span><span class="p">)</span>
<a id="ln-62" name="ln-62" href="#ln-62"></a>
<a id="ln-63" name="ln-63" href="#ln-63"></a><span class="w"> </span><span class="n">abatch</span><span class="p">(</span><span class="mi">1</span><span class="p">:</span><span class="n">r</span><span class="p">)</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">a</span><span class="p">(</span><span class="mi">1</span><span class="p">:</span><span class="n">r</span><span class="p">)</span><span class="o">*</span><span class="err">${</span><span class="n">cnjg</span><span class="p">(</span><span class="n">t</span><span class="p">,</span><span class="s1">'b(1:r)'</span><span class="p">)</span><span class="err">}$</span>
<a id="ln-64" name="ln-64" href="#ln-64"></a><span class="w"> </span><span class="n">abatch</span><span class="p">(</span><span class="n">r</span><span class="o">+</span><span class="mi">1</span><span class="p">:</span><span class="n">chunk</span><span class="p">)</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">zero_$</span><span class="err">{</span><span class="n">s</span><span class="err">}$</span>
<a id="ln-65" name="ln-65" href="#ln-65"></a><span class="w"> </span><span class="n">cbatch</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">zero_$</span><span class="err">{</span><span class="n">s</span><span class="err">}$</span>
<a id="ln-66" name="ln-66" href="#ln-66"></a><span class="w"> </span><span class="k">do </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">r</span><span class="o">+</span><span class="mi">1</span><span class="p">,</span><span class="w"> </span><span class="n">n</span><span class="o">-</span><span class="n">r</span><span class="p">,</span><span class="w"> </span><span class="n">chunk</span>
<a id="ln-67" name="ln-67" href="#ln-67"></a><span class="w"> </span><span class="k">call </span><span class="n">kahan_kernel</span><span class="p">(</span><span class="w"> </span><span class="n">a</span><span class="p">(</span><span class="n">i</span><span class="p">:</span><span class="n">i</span><span class="o">+</span><span class="n">chunk</span><span class="o">-</span><span class="mi">1</span><span class="p">)</span><span class="o">*</span><span class="err">${</span><span class="n">cnjg</span><span class="p">(</span><span class="n">t</span><span class="p">,</span><span class="s1">'b(i:i+chunk-1)'</span><span class="p">)</span><span class="err">}$</span><span class="w"> </span><span class="p">,</span><span class="w"> </span><span class="n">abatch</span><span class="p">(</span><span class="mi">1</span><span class="p">:</span><span class="n">chunk</span><span class="p">)</span><span class="w"> </span><span class="p">,</span><span class="w"> </span><span class="n">cbatch</span><span class="p">(</span><span class="mi">1</span><span class="p">:</span><span class="n">chunk</span><span class="p">)</span><span class="w"> </span><span class="p">)</span>
<a id="ln-68" name="ln-68" href="#ln-68"></a><span class="w"> </span><span class="k">end do </span>
<a id="ln-69" name="ln-69" href="#ln-69"></a>
<a id="ln-70" name="ln-70" href="#ln-70"></a><span class="k"> </span><span class="n">p</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">zero_$</span><span class="err">{</span><span class="n">s</span><span class="err">}$</span>
<a id="ln-71" name="ln-71" href="#ln-71"></a><span class="w"> </span><span class="k">do </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span><span class="p">,</span><span class="w"> </span><span class="n">chunk</span>
<a id="ln-72" name="ln-72" href="#ln-72"></a><span class="w"> </span><span class="k">call </span><span class="n">kahan_kernel</span><span class="p">(</span><span class="w"> </span><span class="n">abatch</span><span class="p">(</span><span class="n">i</span><span class="p">)</span><span class="w"> </span><span class="p">,</span><span class="w"> </span><span class="n">p</span><span class="w"> </span><span class="p">,</span><span class="w"> </span><span class="n">cbatch</span><span class="p">(</span><span class="n">i</span><span class="p">)</span><span class="w"> </span><span class="p">)</span>
<a id="ln-73" name="ln-73" href="#ln-73"></a><span class="w"> </span><span class="k">end do </span>
<a id="ln-74" name="ln-74" href="#ln-74"></a><span class="k">end function</span>
<a id="ln-75" name="ln-75" href="#ln-75"></a><span class="cp">#:endfor</span>
<a id="ln-76" name="ln-76" href="#ln-76"></a>
<a id="ln-77" name="ln-77" href="#ln-77"></a><span class="k">end submodule </span><span class="n">stdlib_intrinsics_dot_product</span>
</pre></div>
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