Reshape vector of odd length to multi dimensional array

When working with Julia, there may be times when you need to reshape a vector of odd length into a multi-dimensional array. This can be a bit tricky, but fortunately, there are several ways to accomplish this task. In this article, we will explore three different approaches to solve this problem.

Approach 1: Using the reshape function

The reshape function in Julia allows you to reshape an array into a new shape specified by the dimensions argument. To reshape a vector of odd length into a multi-dimensional array, you can use the reshape function along with the size function to determine the dimensions of the new array.


# Input vector
input_vector = [1, 2, 3, 4, 5, 6, 7]

# Determine dimensions of new array
dims = (length(input_vector) ÷ 2, 2)

# Reshape vector into multi-dimensional array
output_array = reshape(input_vector, dims)

In this approach, we first calculate the dimensions of the new array by dividing the length of the input vector by 2. We then use the reshape function to reshape the vector into a multi-dimensional array with the calculated dimensions.

Approach 2: Using the reshape! function

If you prefer to modify the input vector in-place rather than creating a new array, you can use the reshape! function. This function works similarly to the reshape function, but it modifies the input array instead of creating a new one.


# Input vector
input_vector = [1, 2, 3, 4, 5, 6, 7]

# Determine dimensions of new array
dims = (length(input_vector) ÷ 2, 2)

# Reshape vector into multi-dimensional array in-place
reshape!(input_vector, dims)

In this approach, we calculate the dimensions of the new array as before and then use the reshape! function to reshape the input vector in-place.

Approach 3: Using the reshape function with a fill value

In some cases, you may want to fill the extra elements in the reshaped array with a specific value. To do this, you can use the reshape function along with the fill function to create a new array with the desired fill value.


# Input vector
input_vector = [1, 2, 3, 4, 5, 6, 7]

# Determine dimensions of new array
dims = (length(input_vector) ÷ 2, 2)

# Reshape vector into multi-dimensional array with fill value
output_array = reshape(fill(0, prod(dims)), dims)
output_array[1:length(input_vector)] .= input_vector

In this approach, we first calculate the dimensions of the new array as before. We then use the reshape function along with the fill function to create a new array filled with zeros. Finally, we copy the elements from the input vector into the reshaped array using the .= assignment operator.

After exploring these three approaches, it is clear that the best option depends on your specific requirements. If you need to preserve the original vector and create a new array, Approach 1 is the way to go. If you prefer to modify the input vector in-place, Approach 2 is the better choice. Finally, if you need to fill the extra elements in the reshaped array with a specific value, Approach 3 provides a solution.

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