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18 <p class=
"p1"><b>hypotApx
<span class=
"Apple-tab-span"> </span><span class=
"Apple-tab-span"> </span>hypotenuse approximation
</b></p>
19 <p class=
"p2"><br></p>
20 <p class=
"p3"><b>BinaryOperator
</b></p>
21 <p class=
"p2"><br></p>
22 <p class=
"p3"><b>hypotApx(x, y)
</b></p>
23 <p class=
"p3"><b>x hypotApx: y
</b></p>
24 <p class=
"p3"><b>x.hypotApx(y)
</b></p>
25 <p class=
"p2"><br></p>
26 <p class=
"p3">Returns an approximation of the square root of the sum of the squares of x and y.
<span class=
"Apple-converted-space"> </span></p>
27 <p class=
"p2"><br></p>
28 <p class=
"p3">The formula used is :
</p>
29 <p class=
"p2"><br></p>
30 <p class=
"p3">abs(x) + abs(y) - ((sqrt(
2) -
1) * min(abs(x), abs(y)))
</p>
31 <p class=
"p2"><br></p>
32 <p class=
"p3">hypotApx is used to implement Complex method magnitudeApx.
</p>
33 <p class=
"p3">This should not be used for simulating a doppler shift because it is discontinuous. Use hypot.
</p>
34 <p class=
"p2"><br></p>
35 <p class=
"p3">See also
<b>hypot
</b>,
<b>atan2
</b>.
</p>
36 <p class=
"p4"><br></p>