C++ Hermite interpolation : <p>I found c++ source calculating "Hermite polynomial interpolating function and derivative values". 
Source: <a href="https://people.sc.fsu.edu/~jburkardt/cpp_src/hermite/hermite.html" rel="nofollow noreferrer">https://people.sc.fsu.edu/~jburkardt/cpp_src/hermite/hermite.html</a></p>

<p>I have looked to given examples in that source and no of them applies my case.</p>

<p>My case is to calculate y values at some x position from data points such as:</p>

<pre><code>X: 0.9, 1.7, 2.55, 3.39...
Y: 0.9, 0.8, 0.85, 0.84...
</code></pre>

<p>And get result with equal x spaces (x space 0.5):</p>

<pre><code>X: 0.5, 1.00, 1.5, 2.00, 2.5, 3.0,...
Y: 0.8, 0.95, 0.8, 0.85, 0.9, 0.9,...
</code></pre>

<p>Is that source even applicable for my case? </p>
