# Interpolation of Multiple 1-D Value Sets

This example shows how to interpolate three 1-D data sets in a single pass using `griddedInterpolant`. This is a faster alternative to looping over your data sets.

Define the x-coordinates that are common to all value sets.

`x = (1:5)';`

Define the sets of sample points along the columns of matrix V.

`V = [x, 2*x, 3*x]`
```V = 5×3 1 2 3 2 4 6 3 6 9 4 8 12 5 10 15 ```

Create a 2-D grid of sample points.

`samplePoints = {x, 1:size(V,2)};`

This compact notation specifies a full 2-D grid. The first element, `samplePoints{1}`, contains the x-coordinates for `V`, and `samplePoints{2}` contains the y-coordinates. The orientation of each coordinate vector does not matter.

Create the interpolant, `F`, by passing the sample points and sample values to `griddedInterpolant`.

`F = griddedInterpolant(samplePoints,V);`

Create a 2-D query grid with `0.5` spacing along `x` over all columns of `V`.

`queryPoints = {(1:0.5:5),1:size(V,2)};`

Evaluate the interpolant at the x-coordinates for each value set.

`Vq = F(queryPoints)`
```Vq = 9×3 1.0000 2.0000 3.0000 1.5000 3.0000 4.5000 2.0000 4.0000 6.0000 2.5000 5.0000 7.5000 3.0000 6.0000 9.0000 3.5000 7.0000 10.5000 4.0000 8.0000 12.0000 4.5000 9.0000 13.5000 5.0000 10.0000 15.0000 ```