Computes a (forward-mode) Jacobian-vector product of fun
.
fun (Callable) – Function to be differentiated. Its arguments should be arrays, scalars, or standard Python containers of arrays or scalars. It should return an array, scalar, or standard Python container of arrays or scalars.
primals – The primal values at which the Jacobian of fun
should be evaluated. Should be either a tuple or a list of arguments, and its length should be equal to the number of positional parameters of fun
.
tangents – The tangent vector for which the Jacobian-vector product should be evaluated. Should be either a tuple or a list of tangents, with the same tree structure and array shapes as primals
.
has_aux (bool) – Optional, bool. Indicates whether fun
returns a pair where the first element is considered the output of the mathematical function to be differentiated and the second element is auxiliary data. Default False.
If has_aux
is False
, returns a (primals_out, tangents_out)
pair, where primals_out
is fun(*primals)
, and tangents_out
is the Jacobian-vector product of function
evaluated at primals
with tangents
. The tangents_out
value has the same Python tree structure and shapes as primals_out
. If has_aux
is True
, returns a (primals_out, tangents_out, aux)
tuple where aux
is the auxiliary data returned by fun
.
tuple[Any, …]
For example:
>>> import jax >>> >>> primals, tangents = jax.jvp(jax.numpy.sin, (0.1,), (0.2,)) >>> print(primals) 0.09983342 >>> print(tangents) 0.19900084
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