Hi All,

I am trying to convert some relatively slow Python code to Julia. The code calculates the skewness of mesh elements for mixed meshes (quads and tris) based on the nodal coordinates. An example of what the code looks like in Python is below (element_coords is a 3D array that defines the nodal coordinates of each element):

```
import numpy as np
element_coords = np.zeros((2, 3, 2))
element_coords[0,:,:] = np.array([[0, 0], [1, 1], [0.5, 2]])
element_coords[1,:,:] = np.array([[2, 2], [4, 5], [3, 6]])
element_equiangular = np.ones(len(element_coords[:,0,0])) * 60
element_skewness = np.zeros_like(element_equiangular)
for jj, coords in enumerate(element_coords):
maxAng = 0.
minAng = (np.size(coords, 0) - 2)*180
for ii in range(len(coords)):
# Defining the vector from the start point to the reference point
x1 = coords[ii, 0] - coords[ii-1, 0]
y1 = coords[ii, 1] - coords[ii-1, 1]
# Defining the vector from the point before the reference point to the reference point
x2 = coords[ii-2, 0] - coords[ii-1, 0]
y2 = coords[ii-2, 1] - coords[ii-1, 1]
# Calculating the angle between the vectors
ang = np.degrees(np.arctan2((x1*y2 - y1*x2), (x1*x2 + y1*y2))) #arctan2(cross(vec1, vec2), dot(vec1, vec2))
if ang >= maxAng:
maxAng = ang
elif ang <= minAng:
minAng = ang
element_skewness[jj] = max(((maxAng - element_equiangular[jj])/(180-element_equiangular[jj])), ((element_equiangular[jj]-minAng)/element_equiangular[jj]))
```

I’ve tried converting this code to Julia but I am stuck on the how to convert the inner for loop to Julia. For Python when ii = 0 (first iteration), ii-1 and ii-2 represent the last and second last element of the array respectively but in Julia at the first iteration you can’t index into the array using 0 and -1 (that I know of). Any tips on how to convert this inner loop to Julia would be much appreciated, below is the start of converting this Python code to Julia:

```
element_coords = zeros(3, 2, 2)
element_coords[:,:,1] = [0. 0.
1. 1.
0.5 2.]
element_coords[:,:,2] = [2. 2.
4. 5.
3. 6.]
element_equiangular = ones(size(element_coords, 3)) .* 60
element_skewness = zero(element_equiangular)
function getSkew!(ele_coords, ele_equi, ele_skew)
for jj = 1:size(ele_coords, 3)
coords = ele_coords[:, :, jj]
maxAng = 0.
minAng = (size(coords,1) - 2) * 180
for ii in 1:size(coords, 1)
x1 = coords[ii, 1] - coords[ii-1, 1] # Doesn't work since 0 is not a valid index
y1 = coords[ii, 2] - coords[ii-1, 2] # Doesn't work since 0 is not a valid index
x2 = coords[ii-2, 1] - coords[ii-1, 1] # Doesn't work since -1 and 0 are not a valid index
y2 = coords[ii-2, 2] - coords[ii-1, 2] # Doesn't work since -1 and 0 are not a valid index
ang = rad2deg(atan((x1*y2 - y1*x2), (x1*x2 + y1*y2)))
if ang >= maxAng
maxAng = ang
elseif ang <= minAng
minAng = ang
end
end
ele_skew[jj] = max((maxAng - ele_equi[jj])/(180-ele_equi[jj]), (ele_equi[jj] - minAng)/(ele_equi[jj]))
end
end
```