tf.math.special.spence
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Computes Spence's integral of x element-wise.
tf.math.special.spence(
x, name=None
)
Spence's integral is defined as the integral of log(t) / (1 - t) from
1 to x, with the domain of definition all non-negative real numbers.
tf.math.special.spence([0.5, 1., 2., 3.]).numpy()
array([ 0.58224034, 0. , -0.82246685, -1.4367464], dtype=float32)
This implementation is based off of the Cephes math library.
Args |
|---|
x
|
A Tensor or SparseTensor. Must be one of the following types:
float32, float64.
|
name
|
A name for the operation (optional).
|
Returns |
|---|
A Tensor or SparseTensor, respectively. Has the same type as x.
|
Scipy Compatibility
Equivalent to scipy.special.spence
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Last updated 2020-10-01 UTC.
[null,null,["Last updated 2020-10-01 UTC."],[],[],null,["# tf.math.special.spence\n\n\u003cbr /\u003e\n\n|-----------------------------------------------------------------------------------------------------------------------------------|\n| [View source on GitHub](https://github.com/tensorflow/tensorflow/blob/v2.2.0/tensorflow/python/ops/special_math_ops.py#L218-L243) |\n\nComputes Spence's integral of `x` element-wise.\n\n#### View aliases\n\n\n**Compat aliases for migration**\n\nSee\n[Migration guide](https://www.tensorflow.org/guide/migrate) for\nmore details.\n\n[`tf.compat.v1.math.special.spence`](/api_docs/python/tf/math/special/spence)\n\n\u003cbr /\u003e\n\n tf.math.special.spence(\n x, name=None\n )\n\nSpence's integral is defined as the integral of `log(t) / (1 - t)` from\n`1` to `x`, with the domain of definition all non-negative real numbers. \n\n tf.math.special.spence([0.5, 1., 2., 3.]).numpy()\n array([ 0.58224034, 0. , -0.82246685, -1.4367464], dtype=float32)\n\nThis implementation is based off of the Cephes math library.\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n| Args ---- ||\n|--------|-----------------------------------------------------------------------------------------|\n| `x` | A `Tensor` or `SparseTensor`. Must be one of the following types: `float32`, `float64`. |\n| `name` | A name for the operation (optional). |\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n| Returns ------- ||\n|---|---|\n| A `Tensor` or `SparseTensor`, respectively. Has the same type as `x`. ||\n\n\u003cbr /\u003e\n\n#### Scipy Compatibility\n\nEquivalent to scipy.special.spence"]]
View source on GitHub