The Pythagoras component computes the length of the third side of a right angle triangle.

If parameter u1 is hypotenuse is false, then y is the length of the hypotenuse, otherwise $u_1$ is the length of the hypotenuse.

$\{\begin{array}{cc}\left\{\mathrm{valid}\=\mathrm{true}\,y_2\=u_1^2\+u_2^2\,y\=\sqrt{y_2}\right\}& \neg \mathrm{u1\; is\; hypotenuse}\\ \left\{y_2\=u_1^2-u_2^2\,\{\begin{array}{cc}\left\{\mathrm{valid}\=\mathrm{true}\,y\=\sqrt{y_2}\right\}& 0\le y_2\\ \left\{\mathrm{valid}\=\mathrm{false}\,y\=0\right\}& \mathrm{otherwise}\end{array}\right\}\end{array}$

The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.