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Threshold 1D Array (G Dataflow)

Last Modified: January 9, 2017

Interpolates points in a 1D array that represents a 2D non-descending graph. This node compares a threshold to the values in an array, starting at a specified index, until it finds a pair of consecutive elements such that the threshold is greater than the value of the first element and less than or equal to the value of the second element.

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array of numbers or points

An array of numbers or an array of points where each point is a cluster of x- and y-coordinates.

If this input is an array of numbers, this node assumes the x-coordinates are the same as the indexes of the array itself.

If this input is an array of points, this node uses the second elements in the clusters, or the y-coordinates, to obtain a fractional index that it then uses to interpolate the corresponding x value.

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threshold y

The threshold value for the node. If threshold y is less than or equal to the array value at start index, the node returns start index for fractional index or x. If threshold y is greater than every value in the array, the node returns the index of the last value. If the array is empty, the node returns NaN.

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start index

The index to start interpolation.

Default: 0—The node returns the result calculated from the entire array rather than a specified section of the array.

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fractional index or x

The interpolated result calculated for the array of numbers or points 1D input array.

If array of numbers or points is an array of points where each point is a cluster of x- and y-coordinates, fractional index or x is the interpolated x value corresponding to the interpolated position of threshold y among the y-coordinates, rather than the fractional index of the array. fractional index or x returns the interpolated x value associated with the given y value if you graphed the points.

array of numbers or points start index threshold y fractional index or x comments
[4, 5, 5, 6] 0 5 1 The output is 1, corresponding to the index of the first value of 5 the node finds.
[2.3, 5.2, 7.8, 7.9, 10.0] 0 6.5 1.5 The output is 1.5 because 6.5 is halfway between 5.2 (index 1) and 7.8 (index 2).
[0, 1, 2, 3, 4, 9.1, 10.3, 12.9, 15.5] 5 14.2 7.5 threshold y falls between elements 7 and 8 because 14.2 is midway between 12.9 and 15.5. Therefore, the output is7.5, halfway between 7 and 8.
Array of points

[(1,1), (2,2), (3,3), (4,4), (-2.5,5), (0,6)

0 5.5 -1.25 The output is not an index value of 4.5 as it would be for a numeric array, but rather an x value of -1.25, which is the interpolated x value associated with the given y value if you graphed the points.

Where This Node Can Run:

Desktop OS: Windows

FPGA: All devices (only within an Optimized FPGA VI)


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