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Computes exponential of x element-wise. \(y = e^x\).
tf.math.exp(
x, name=None
)
This function computes the exponential of the input tensor element-wise.
i.e. math.exp(x)
or \(e^x\), where x
is the input tensor.
\(e\) denotes Euler's number and is approximately equal to 2.718281.
Output is positive for any real input.
x = tf.constant(2.0)
tf.math.exp(x)
<tf.Tensor: shape=(), dtype=float32, numpy=7.389056>
x = tf.constant([2.0, 8.0])
tf.math.exp(x)
<tf.Tensor: shape=(2,), dtype=float32,
numpy=array([ 7.389056, 2980.958 ], dtype=float32)>
For complex numbers, the exponential value is calculated as
\[ e^{x+iy} = {e^x} {e^{iy} } = {e^x} ({\cos (y) + i \sin (y)}) \]
For 1+1j
the value would be computed as:
\[ e^1 (\cos (1) + i \sin (1)) = 2.7182817 \times (0.5403023+0.84147096j) \]
x = tf.constant(1 + 1j)
tf.math.exp(x)
<tf.Tensor: shape=(), dtype=complex128,
numpy=(1.4686939399158851+2.2873552871788423j)>
Args | |
---|---|
x
|
A tf.Tensor . Must be one of the following types: bfloat16 , half ,
float32 , float64 , complex64 , complex128 .
|
name
|
A name for the operation (optional). |
Returns | |
---|---|
A tf.Tensor . Has the same type as x .
|
numpy compatibility
Equivalent to np.exp