how to transpose a matrix I tried several function to find the fastest transpose for large matrices In the end the fastest result is to use loop blocking with block size 16 Edit I found a faster solution using SSE and loop blocking see below This code works for any NxM matrix i e the matrix does not have to be square inline void transpose scalar block float
I m trying to transpose a 2D matrix 10x10 in place for b 0 b 10 b tmp matrix a b matrix b a matrix a b matrix a b tmp If I can increase the starting value b of the inner for statement by 1 it works fine However when one loop is turned the value of the variable is set to 0 It is very natural Output array 0 map colIndex array map row row colIndex map calls a provided callback function once for each element in an array in order and constructs a new array from the results
how to transpose a matrix
how to transpose a matrix
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Maths Is Interesting How To Transpose A Matrix
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You are trying to transpose matrix in place matrix i j matrix j i you shouldn t do this If count of columns is greater then count of rows allocated for matrix you ll read and write non allocated memory IMHO It would be better to store whole matrix in continuous memory Not in different pieces How to get the transpose of this matrix Any easier algorithmic way to do this 1st question Input a 1 2 3 4 5 6 7 8 9 Expected output a 1 4 7 2 5
It turns out you need to invert the scale applied to the normals to achieve this This is the same as transforming with the Inverse Transpose Matrix The link above shows how to derive the inverse transpose matrix from this Also note that when the scale is uniform you can simply pass the original matrix as normal matrix For two operand instructions using SIMD you can show that the number of operations necessary to transpose a nxn matrix is n log 2 n whereas using scalar operations it s O n 2 In fact later I ll show that the number of read and write operations using the scalar registers is 2 n n 1 Below is a table showing the number of operations to
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You can pass the desired dimensions to the function np transpose using in your case np transpose x test 0 2 1 For example This will print Now you can transpose the matrix with the command from above which will give Apart from transpose see Cleb s answer there are also swapaxes and moveaxis 110 You can use zip with to get transpose of a matrix If you want the returned list to be a list of lists In Python 3 map returns an iterator so to get a list from the last solution you need list map list zip lis or map list zip lis
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