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<title>Harmonic number and Zeta functions explained in Julia (part 1) - You don't need to prove this</title>
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<h1>Harmonic number and Zeta functions explained in Julia (part 1)</h1>
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<span> Posted on Tue 14 April 2020 in <a href="https://newptcai.github.io/category/math.html" style="font-style: italic">math</a>
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<p><em>This is part 1 of a series explaining what is Harmonic number and it's connection with Zeta
functions. The post is written as a Jupyter notebook with Julia kernel. You can download it
<a href="https://newptcai.github.io/notebook/2020-04-14-harmonic.ipynb">here</a>.</em></p>
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<h2 id="Harmonic-number">Harmonic number<a class="anchor-link" href="#Harmonic-number">¶</a></h2><p>If you took some discrete math courses, you have probably seen this sum
$$
\newcommand{\Bold}[1]{\mathbf{#1}}{\sum_{i=1}^{m} \frac{1}{i}}
$$
This is called the $m$-th <a href="https://en.wikipedia.org/wiki/Harmonic_number">Harmonic number</a> and is often written as $H_m$.</p>
<p>Why should we care? Well, for one thing, if there $10$ different coupons, and the type you can is uniform at random whenever you buy one, then on average you need to buy to get all of them is
$$
\newcommand{\Bold}[1]{\mathbf{#1}}{\sum_{i=0}^{m-1} \frac{m}{m-i}} = m H_{m}
$$
This is the famous <a href="https://en.wikipedia.org/wiki/Coupon_collector%27s_problem">coupon collectors problem</a> 🎉️.</p>
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" 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(Photo by <a href="/photographer/BessieSpin-81413">BessieSpin</a> from <a href="https://freeimages.com/">FreeImages</a>)
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<p>Let's see how we can compute and approximate this in Julia.
But first, Julia is not a CAS (computer algebra system).
But fortunately, we have <a href="https://github.com/JuliaPy/SymPy.jl"><code>SymPy.jl</code></a>.
It allows us to use <a href="https://www.sympy.org/en/index.html"><code>SymPy</code></a>, a CAS written entirely in Python. A good source of learning to use <code>SymPy.jl</code> is <a href="http://mth229.github.io/symbolic.html">Symbolic math with julia</a>.</p>
<p><img 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" 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<p>Of course you will need to install Python and <code>SymPy</code> itself first. And to run this notebook, you also need to add the following Julia packages.</p>
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<div class=" highlight hl-julia"><pre><span></span><span class="k">using</span> <span class="n">Pkg</span><span class="p">;</span>
<span class="n">Pkg</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="s">"SymPy"</span><span class="p">)</span>
<span class="n">Pkg</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="s">"Plots"</span><span class="p">)</span>
<span class="n">Pkg</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="s">"BenchmarkTools"</span><span class="p">)</span>
<span class="n">Pkg</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="s">"LaTeXStrings"</span><span class="p">)</span>
<span class="n">Pkg</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="s">"FastRationals"</span><span class="p">)</span>
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<div class=" highlight hl-julia"><pre><span></span><span class="k">using</span> <span class="n">SymPy</span>
<span class="nd">@vars</span> <span class="n">i</span> <span class="n">m</span><span class="p">;</span>
<span class="n">harmonic</span> <span class="o">=</span> <span class="n">summation</span><span class="p">(</span><span class="mi">1</span><span class="o">/</span><span class="n">i</span><span class="p">,</span> <span class="p">(</span><span class="n">i</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="n">m</span><span class="p">))</span>
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\begin{equation*}\operatorname{harmonic}{\left(m \right)}\end{equation*}
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<p>What we get here is a symbolic object (representing a math symbol) of type <code>Sym</code></p>
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<div class=" highlight hl-julia"><pre><span></span><span class="n">typeof</span><span class="p">(</span><span class="n">harmonic</span><span class="p">)</span>
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<pre>Sym</pre>
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<p>To compute $H_m$, we just need to replace $m$ in the expression <code>harmonic</code> by a integer.</p>
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<div class=" highlight hl-julia"><pre><span></span><span class="n">subs</span><span class="p">(</span><span class="n">harmonic</span><span class="p">,</span> <span class="n">m</span><span class="p">,</span> <span class="mi">10</span><span class="p">)</span>
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\begin{equation*}\frac{7381}{2520}\end{equation*}
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<p>But there is a short cut for this substitution. We can use <code>harmonic</code> just as if it is a Julia function.</p>
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<div class=" highlight hl-julia"><pre><span></span><span class="n">h10</span> <span class="o">=</span> <span class="n">harmonic</span><span class="p">(</span><span class="mi">10</span><span class="p">)</span>
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\begin{equation*}\frac{7381}{2520}\end{equation*}
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<p>The first ten harmonic numbers are</p>
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<div class=" highlight hl-julia"><pre><span></span><span class="n">transpose</span><span class="p">(</span><span class="n">map</span><span class="p">(</span><span class="n">harmonic</span><span class="p">,</span> <span class="mi">1</span><span class="o">:</span><span class="mi">10</span><span class="p">))</span>
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\[\left[ \begin{array}{rrrrrrrrrr}1&\frac{3}{2}&\frac{11}{6}&\frac{25}{12}&\frac{137}{60}&\frac{49}{20}&\frac{363}{140}&\frac{761}{280}&\frac{7129}{2520}&\frac{7381}{2520}\end{array}\right]\]
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<h2 id="The-speed">The speed<a class="anchor-link" href="#The-speed">¶</a></h2>
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<p>How fast can <code>SymPy</code> compute the Harmonic numbers? We can find out with <a href="https://github.com/JuliaCI/BenchmarkTools.jl">BenchmarkTools.jl</a>.
We load it and use the marco <code>@benchmark</code> test how faster can we compute <code>harmonic(10000)</code>. The macro runs the computation many times to get an average performance.
It will take a while. Make a tea 🍵️ for your self.</p>
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<div class=" highlight hl-julia"><pre><span></span><span class="k">using</span> <span class="n">BenchmarkTools</span>
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<div class=" highlight hl-julia"><pre><span></span><span class="n">m0</span> <span class="o">=</span> <span class="mi">10</span><span class="o">^</span><span class="mi">4</span>
<span class="nd">@benchmark</span> <span class="n">harmonic</span><span class="p">(</span><span class="n">m0</span><span class="p">)</span>
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<pre>BenchmarkTools.Trial:
memory estimate: 1.31 KiB
allocs estimate: 47
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minimum time: 94.483 μs (0.00% GC)
median time: 97.704 μs (0.00% GC)
mean time: 105.042 μs (0.00% GC)
maximum time: 23.499 ms (0.00% GC)
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samples: 10000
evals/sample: 1</pre>
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<p>As you can see, the longest time it take to compute <code>harmonic(10^4)</code> is about 270 times slower than the median time.
<a href="https://julialang.slack.com/archives/C66NPKCQZ/p1586874541165500?thread_ts=1586872314.165100&cid=C66NPKCQZ">Jeffery Sarnoff</a> pointed out to me that</p>
<blockquote><p>As far as I know, when the <code>maximum time</code> reported by <code>@benchmark</code> is much larger than the median time (as usually is the case) you are seeing overhead unrelated to the function evaluation itself (e.g. the OS is handling other things). It is important for realtime systems and mostly irrelevant otherwise.</p>
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<p>Though I did check the code of<code>SymPy</code> and found that it does some <a href="https://en.wikipedia.org/wiki/Memoization">memoization</a> here -- After the first time <code>H_m</code> is computed, <code>SymPy</code> just remembers it. This may also explains the difference.</p>
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<h2 id="Three-Julia-implementations">Three Julia implementations<a class="anchor-link" href="#Three-Julia-implementations">¶</a></h2>
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<p>Of course you can also do this purely with Julia. Don't forget to use <code>//</code> instead of <code>/</code>, the first gives rational number, the second gives a float number.</p>
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<div class=" highlight hl-julia"><pre><span></span><span class="n">harmonic_j</span><span class="p">(</span><span class="n">m</span><span class="p">)</span> <span class="o">=</span> <span class="n">sum</span><span class="p">(</span><span class="n">i</span><span class="o">-></span><span class="mi">1</span><span class="o">//</span><span class="n">big</span><span class="p">(</span><span class="n">i</span><span class="p">),</span> <span class="mi">1</span><span class="o">:</span><span class="n">m</span><span class="p">)</span>
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<pre>harmonic_j (generic function with 1 method)</pre>
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<div class=" highlight hl-julia"><pre><span></span><span class="n">harmonic_j</span><span class="p">(</span><span class="mi">10</span><span class="o">^</span><span class="mi">4</span><span class="p">)</span> <span class="o">==</span> <span class="n">harmonic</span><span class="p">(</span><span class="n">m0</span><span class="p">)</span>
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<pre>true</pre>
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<div class=" highlight hl-julia"><pre><span></span><span class="nd">@benchmark</span> <span class="n">harmonic_j</span><span class="p">(</span><span class="n">m0</span><span class="p">)</span>
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<pre>BenchmarkTools.Trial:
memory estimate: 5.19 MiB
allocs estimate: 169990
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minimum time: 349.699 ms (0.00% GC)
median time: 369.920 ms (0.00% GC)
mean time: 379.078 ms (1.67% GC)
maximum time: 555.587 ms (15.98% GC)
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samples: 14
evals/sample: 1</pre>
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<p>This is a bit slow.
It turns out that <code>Rational{BigInt}</code> is just not.
But there is a package <a href="https://github.com/JeffreySarnoff/FastRationals.jl"><code>FastRationsl.jl</code></a> which addresses this problem.</p>
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<div class=" highlight hl-julia"><pre><span></span><span class="k">using</span> <span class="n">FastRationals</span>
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<div class=" highlight hl-julia"><pre><span></span><span class="n">harmonic_fast</span><span class="p">(</span><span class="n">m</span><span class="p">)</span> <span class="o">=</span> <span class="n">sum</span><span class="p">(</span><span class="n">i</span><span class="o">-></span><span class="n">FastQBig</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">i</span><span class="p">),</span> <span class="mi">1</span><span class="o">:</span><span class="n">m</span><span class="p">)</span>
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<pre>harmonic_fast (generic function with 1 method)</pre>
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<div class=" highlight hl-julia"><pre><span></span><span class="n">harmonic_fast</span><span class="p">(</span><span class="n">m0</span><span class="p">)</span> <span class="o">==</span> <span class="n">N</span><span class="p">(</span><span class="n">harmonic</span><span class="p">(</span><span class="n">m0</span><span class="p">))</span>
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<pre>true</pre>
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<div class=" highlight hl-julia"><pre><span></span><span class="nd">@benchmark</span> <span class="n">harmonic_fast</span><span class="p">(</span><span class="n">m0</span><span class="p">)</span>
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<pre>BenchmarkTools.Trial:
memory estimate: 3.66 MiB
allocs estimate: 119995
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minimum time: 20.617 ms (0.00% GC)
median time: 22.180 ms (0.00% GC)
mean time: 42.780 ms (27.93% GC)
maximum time: 373.927 ms (64.51% GC)
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samples: 120
evals/sample: 1</pre>
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<p>Almost 20 times speed up. Not bad. But why don't we try <code>SymPy</code>'s idea of memoization?</p>
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<div class=" highlight hl-julia"><pre><span></span><span class="kd">const</span> <span class="n">harmonic_numbers</span> <span class="o">=</span> <span class="kt">Array</span><span class="p">{</span><span class="n">FastRational</span><span class="p">{</span><span class="kt">BigInt</span><span class="p">},</span> <span class="mi">1</span><span class="p">}()</span>
<span class="k">function</span> <span class="n">harmonic_cached</span><span class="p">(</span><span class="n">m</span><span class="p">)</span>
<span class="n">m1</span> <span class="o">=</span> <span class="n">length</span><span class="p">(</span><span class="n">harmonic_numbers</span><span class="p">)</span>
<span class="k">if</span> <span class="n">m</span> <span class="o"><=</span> <span class="n">m1</span>
<span class="k">return</span> <span class="n">harmonic_numbers</span><span class="p">[</span><span class="n">m</span><span class="p">]</span>
<span class="k">end</span>
<span class="k">if</span> <span class="n">m1</span> <span class="o">></span> <span class="mi">0</span>
<span class="n">ret</span> <span class="o">=</span> <span class="n">harmonic_numbers</span><span class="p">[</span><span class="n">m1</span><span class="p">]</span>
<span class="k">else</span>
<span class="n">ret</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">end</span>
<span class="k">for</span> <span class="n">i</span> <span class="kp">in</span> <span class="n">m1</span><span class="o">+</span><span class="mi">1</span><span class="o">:</span><span class="n">m</span>
<span class="n">ret</span> <span class="o">+=</span> <span class="n">FastQBig</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">i</span><span class="p">)</span>
<span class="n">push!</span><span class="p">(</span><span class="n">harmonic_numbers</span><span class="p">,</span> <span class="n">ret</span><span class="p">)</span>
<span class="k">end</span>
<span class="k">return</span> <span class="n">ret</span>
<span class="k">end</span>
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<pre>harmonic_cached (generic function with 1 method)</pre>
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<p>Let's make sure we have not made any mistakes</p>
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<div class=" highlight hl-julia"><pre><span></span><span class="n">all</span><span class="p">([</span><span class="n">harmonic_cached</span><span class="p">(</span><span class="n">m</span><span class="p">)</span> <span class="o">==</span> <span class="n">harmonic_fast</span><span class="p">(</span><span class="n">m</span><span class="p">)</span> <span class="k">for</span> <span class="n">m</span> <span class="kp">in</span> <span class="mi">1</span><span class="o">:</span><span class="mi">100</span><span class="p">])</span>
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<pre>true</pre>
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<p>How fast is this version?</p>
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<div class=" highlight hl-julia"><pre><span></span><span class="nd">@benchmark</span> <span class="n">harmonic_cached</span><span class="p">(</span><span class="n">m0</span><span class="p">)</span>
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<pre>BenchmarkTools.Trial:
memory estimate: 0 bytes
allocs estimate: 0
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minimum time: 33.303 ns (0.00% GC)
median time: 35.614 ns (0.00% GC)
mean time: 35.636 ns (0.00% GC)
maximum time: 79.539 ns (0.00% GC)
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samples: 10000
evals/sample: 993</pre>
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<p>As you can, this is 200 times faster! And much much faster than calling <code>SymPy</code>.</p>
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<h2 id="Approximations">Approximations<a class="anchor-link" href="#Approximations">¶</a></h2>
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<p>But for any practical purpose, e.g., you want to buy coupons, we don't really need the exact value of harmonic number. A good approximation is enough.</p>
<p>You probably remember that $H_m \sim \log m$. This is to say that when $m$ is really large, the two numbers are quite close. Let's draw a picture.</p>
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<div class=" highlight hl-julia"><pre><span></span><span class="k">using</span> <span class="n">Plots</span><span class="p">;</span> <span class="n">gr</span><span class="p">();</span>
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<p>We load <code>LatexString</code> so we can use LaTeX in the plots.</p>
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<div class=" highlight hl-julia"><pre><span></span><span class="k">using</span> <span class="n">LaTeXStrings</span>
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<div class=" highlight hl-julia"><pre><span></span><span class="n">xpos</span> <span class="o">=</span> <span class="mi">1</span><span class="o">:</span><span class="mi">30</span><span class="o">:</span><span class="mi">1001</span><span class="p">;</span>
<span class="n">harmonic_values</span> <span class="o">=</span> <span class="n">map</span><span class="p">(</span><span class="n">m</span><span class="o">-></span><span class="kt">BigFloat</span><span class="p">(</span><span class="n">harmonic_cached</span><span class="p">(</span><span class="n">m</span><span class="p">)),</span> <span class="n">xpos</span><span class="p">);</span>
<span class="n">scatter</span><span class="p">(</span><span class="n">xpos</span><span class="p">,</span> <span class="n">harmonic_values</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="n">L</span><span class="s">"H_m"</span><span class="p">,</span> <span class="n">legend</span><span class="o">=:</span><span class="n">bottomright</span><span class="p">)</span>
<span class="n">plot!</span><span class="p">(</span><span class="n">log</span><span class="p">,</span> <span class="mi">1</span><span class="o">:</span><span class="mi">1001</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="n">L</span><span class="s">"\log(m)"</span><span class="p">)</span>
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