High Throughput Square Root
- Updated2025-01-28
- 7 minute(s) read
Computes the square root of x. The encoding of x must be unsigned.
This function supports only scalar values of the fixed-point data type.

Dialog Box Options
| Option | Description |
|---|---|
| Fixed-Point Configuration |
Specifies the encodings, word lengths, and integer word lengths of the input and output terminals of this function. The configurations you specify determine the value range of the terminals.
|
| Execution Mode |
Specifies how this function executes.
|
| Registers |
Specifies whether to add internal registers for function inputs and/or outputs. These registers will be placed outside of any embedded resources, such as block multipliers or DSP48E slices. This section is available only if you select Inside single-cycle Timed Loop. Note Adding registers can reduce the length of the combinatorial path, which can prevent compilation errors that result from a long combinatorial path. However, adding registers also increases the latency of this function, which means this function takes additional clock cycles to return a valid result.
|
| Optional Terminal |
Specifies a setting for displaying an optional block diagram terminal.
|
| Configuration Feedback |
Displays information about how this function executes. This information is based on the configuration options you specify. |
Inputs/Outputs
x
—
Specifies the input to this function. x must be unsigned. Specifies whether the next data point has arrived for processing. Wire output valid of an upstream node to input valid to transfer data from the upstream node to this Express VI. To display this handshaking terminal, select Inside single-cycle Timed Loop in the configuration dialog box. Specifies whether downstream nodes are ready for this Express VI to return a new value. The default is TRUE. Use a Feedback Node to wire ready for input of a downstream node to ready for output of the current node. Note If ready for output is FALSE during a given cycle, output valid returns FALSE during that cycle.
To display ready for output, select Inside single-cycle Timed Loop in the configuration dialog box.
sqrt(x)
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Returns the square root of x. Returns TRUE if the theoretical computed value exceeds the valid range of the output data type. If operation overflow returns TRUE, the Overflow mode option determines the value this function returns. LabVIEW displays the operation overflow terminal only if you place a checkmark in the Operation overflow checkbox. This checkbox is located in the Optional Terminal section of the configuration dialog box. Returns TRUE if this Express VI has computed a result that downstream nodes can use. Use output valid for handshaking with other FPGA VIs and functions. To display output valid, select Inside single-cycle Timed Loop in the configuration dialog box. Returns TRUE if this Express VI is ready to accept new input data. Use a Feedback Node to wire ready for input to ready for output of an upstream node. Note If ready for input returns FALSE during a given cycle, LabVIEW discards any data that other nodes send to this Express VI during the following cycle. LabVIEW discards this data even if input valid is TRUE during the following cycle.
To display ready for input, select Inside single-cycle Timed Loop in the configuration dialog box. |
If you place a checkmark in the Adapt to source checkbox, overflow still can occur in the sqrt(x) output terminal if all of the following conditions are true:
- The Rounding mode is Round Half-Up or Round Half-Even.
- The Integer word length of x is an even number.
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The following relationship is true:
, where fwl refers to the fractional word length of a terminal and iwl refers to the integer word length of a terminal.
Complete the following steps to avoid overflow in this situation:
- Remove the checkmark from the Adapt to source checkbox.
- Increase the Word length of the sqrt(x) terminal.
After you complete these steps, LabVIEW does not adjust the fixed-point configuration of the sqrt(x) terminal automatically. If you change the fixed-point configuration of the x terminal and still want to avoid overflow, place a checkmark in the Adapt to source checkbox again. LabVIEW adjusts the fixed-point configuration of the sqrt(x) terminal automatically. Then, complete steps 1–2 above to ensure that no overflow occurs with the updated fixed-point configuration.
Examples
Refer to the following example files included with LabVIEW FPGA Module.
- labview\examples\CompactRIO\FPGA Fundamentals\FPGA Math and Analysis\High-Throughput Math\Vector Normalization\Vector Normalization.lvproj
- labview\examples\R Series\FPGA Fundamentals\FPGA Math and Analysis\High-Throughput Math\Vector Normalization\Vector Normalization.lvproj
x
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sqrt(x)
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