High Throughput Exponential
- Updated2023-02-17
- 4 minute(s) read
High Throughput Exponential
Computes the value of e raised to a specified power.
Inputs/Outputs

x
Input to this function. x must be in the range [-1, 1).
This input supports only scalar values of the fixed-point data type.
Computing exp(x) When x is Outside the Valid Range
Complete the following steps to compute exp(x when x is outside the range [-1, 1):
- Find an integer q and a real number r, where r is in the range [0, ln(2)), such that x = q * ln(2) + r.
- Compute 2q * exp(r), which is equivalent to exp(x). Because r is in the valid range of [-1, 1), you can then use this node to compute exp(r).
Input Coercion
The CORDIC algorithm represents x internally as a fixed-point number with a 1-bit integer word length. The word length of x must be less than or equal to 64 bits, which means the fractional word length must be less than or equal to 63 bits. If you wire a value to x that has a fractional word length greater than 63 bits, this node rounds off the lower bits to achieve a fractional word length of 63 bits. For example, if you wire a fixed-point data type with a configuration of I60<-5, 55> to x, this node coerces the configuration to be I58<-5,53>.
If you wire a fixed-point data type to x with a fractional word length greater than 63 bits and an integer word length less than -62 bits, this node coerces the configuration to be I1<-62, 63> if the data type is signed. If the data type is unsigned, the coerced configuration is U1<-62, 63>.

input valid
Boolean value that describes whether the next data element has arrived for processing. Wire the output valid output of an upstream node to this input to transfer data from the upstream node to this node.
| True | The next data element has arrived for processing. |
| False | The next data element has not arrived for processing. |

ready for output
Boolean value that defines whether downstream nodes are ready for this node to return a new value. Use a Feedback Node to wire the ready for input output of a downstream node to this input of the current node.
| True | Downstream nodes are ready for this node to return a new value. |
| False | Downstream nodes are not ready for this node to return a new value. |
Default value: True

exp(x)
e raised to the power of x.

output valid
Boolean value that indicates whether this node computes a result that downstream nodes can use.
Wire this output to the input valid input of a downstream node to transfer data from the node to the downstream node.
| True | Downstream nodes can use the result this node computes. |
| False | This node returns an undefined value that downstream nodes cannot use.
Note This node may return different undefined values when executed in simulation mode versus when executed on hardware.
|

ready for input
Boolean value that indicates whether this node is ready to accept new input data.
Use Feedback Node to wire this output to the ready for output output of an upstream node.
| True | The node is ready to accept new input data. |
| False | The node is not ready to accept new input data. |