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jax.numpy.hypot — JAX documentation

jax.numpy.hypot(x1, x2, /)[source]#

Return element-wise hypotenuse for the given legs of a right angle triangle.

JAX implementation of numpy.hypot.

Parameters:

• x1 (ArrayLike) – scalar or array. Specifies one of the legs of right angle triangle. complex dtype are not supported.

• x2 (ArrayLike) – scalar or array. Specifies the other leg of right angle triangle. complex dtype are not supported. x1 and x2 must either have same shape or be broadcast compatible.

Returns:

An array containing the hypotenuse for the given given legs x1 and x2 of a right angle triangle, promoting to inexact dtype.

Return type:

Array

Note

jnp.hypot is a more numerically stable way of computing jnp.sqrt(x1 ** 2 + x2 **2).

Examples

>>> jnp.hypot(3, 4)
Array(5., dtype=float32, weak_type=True)
>>> x1 = jnp.array([[3, -2, 5],
...                 [9, 1, -4]])
>>> x2 = jnp.array([-5, 6, 8])
>>> with jnp.printoptions(precision=3, suppress=True):
...   jnp.hypot(x1, x2)
Array([[ 5.831,  6.325,  9.434],
       [10.296,  6.083,  8.944]], dtype=float32)

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