std.math.algebraic.hypot - multiple declarations
Function hypot
Calculates the length of the hypotenuse of a right-angled triangle with sides of length x and y. The hypotenuse is the value of the square root of the sums of the squares of x and y:
T hypot(T)
(
const T x,
const T y
) pure nothrow @nogc @safe
if (isFloatingPoint!T);
sqrt(x2 + y2)
Note that hypot(x, y), hypot(y, x) and hypot(x, -y) are equivalent.
| x | y | hypot(x, y) | invalid? |
|---|---|---|---|
| x | ±0.0 | |x| | no |
| ±∞ | y | +∞ | no |
| ±∞ | NAN | +∞ | no |
Example
import stdFunction hypot
Calculates the distance of the point (x, y, z) from the origin (0, 0, 0) in three-dimensional space. The distance is the value of the square root of the sums of the squares of x, y, and z:
T hypot(T)
(
const T x,
const T y,
const T z
) pure nothrow @nogc @safe
if (isFloatingPoint!T);
sqrt(x2 + y2 + z2)
Note that the distance between two points (x1, y1, z1) and (x2, y2, z2) in three-dimensional space can be calculated as hypot(x2-x1, y2-y1, z2-z1).
Parameters
| Name | Description |
|---|---|
| x | floating point value |
| y | floating point value |
| z | floating point value |
Returns
The square root of the sum of the squares of the given arguments.
Example
import stdAuthors
Walter Bright, Don Clugston, Conversion of CEPHES math library to D by Iain Buclaw and David Nadlinger