def bessel_i1(x, name=None):
"""Computes the Bessel i1 function of `x` element-wise.
Modified Bessel function of order 1.
It is preferable to use the numerically stabler function `i1e(x)` instead.
Args:
x: A `Tensor` or `SparseTensor`. Must be one of the following types: `half`,
`float32`, `float64`.
name: A name for the operation (optional).
Returns:
A `Tensor` or `SparseTensor`, respectively. Has the same type as `x`.
@compatibility(scipy)
Equivalent to scipy.special.i1
@end_compatibility
"""
with ops.name_scope(name, 'bessel_i1', [x]):
return math_ops.exp(math_ops.abs(x)) * math_ops.bessel_i1e(x)
def bessel_i1(x, name=None):
"""Computes the Bessel i1 function of `x` element-wise.
Modified Bessel function of order 1.
It is preferable to use the numerically stabler function `i1e(x)` instead.
Args:
x: A `Tensor` or `SparseTensor`. Must be one of the following types: `half`,
`float32`, `float64`.
name: A name for the operation (optional).
Returns:
A `Tensor` or `SparseTensor`, respectively. Has the same type as `x`.
@compatibility(scipy)
Equivalent to scipy.special.i1
@end_compatibility
"""
with ops.name_scope(name, 'bessel_i1', [x]):
return math_ops.exp(math_ops.abs(x)) * math_ops.bessel_i1e(x)
def _BesselI0eGrad(op, grad):
"""Compute gradient of bessel_i0e(x) with respect to its argument."""
x = op.inputs[0]
y = op.outputs[0]
with ops.control_dependencies([grad]):
return grad * (math_ops.bessel_i1e(x) - math_ops.sign(x) * y)
def _BesselI0eGrad(op, grad):
"""Compute gradient of bessel_i0e(x) with respect to its argument."""
x = op.inputs[0]
y = op.outputs[0]
with ops.control_dependencies([grad]):
return grad * (math_ops.bessel_i1e(x) - math_ops.sign(x) * y)
