DNorm2 1.0

Date Added: May 14, 2013 | Visits: 210

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Fast euclidian norm over N.th dimension of a DOUBLE arrayY = DNorm2(X, N)INPUT: X: Real DOUBLE array. N: Dimension to operate on.OUTPUT: Y: Euclidian norm over N.th dimension: Y = sqrt(sum(X .* X, N)). Length of N.th dimension of Y is 1. NaN's are considered.Matlab's built-in function NORM is fast for vectors, but for matrices the matrix norm is replied. Other efficient methods for vectors(!): Y = sqrt(sum(X .* X)); Y = sqrt(X * X'); % row vectors, faster than DNorm2!And James Tursa's MTIMESX is very fast for vectors also and can operate on the 1st dimension of arrays also: X = rand(100, 100); X = reshape(X, 100, 1, 100); Y = sqrt(mtimesx(X, 't', X));But for arrays DNorm2 is faster, and I do not see a way to apply MTIMESX for trailing dimensions without time-consuming transpositions.COMPILATION: This function must be compiled before using: mex -O DNorm2.c See DNorm2.c for detailed instructions.TEST: Run uTest_DNorm2 to test validity and speed.NOTES: See DNorm2.c for strategies to optimize processing speed depending on the size of X.Unfortunately this function is not multi-threaded. Assistence to include OMP would be very welcome.Tested: Matlab 6.5, 7.7, 7.8, WinXP, 32bit Compiler: LCC2.4/3.8, BCC5.5, OWC1.8, MSVC2008Assumed Compatibility: higher Matlab versions, Mac, Linux, 64bit

Requirements: No special requirements

Platforms: Matlab

Keyword: Depending, Multithreaded, Notes, Optimize, Processing, Speed, Strategies, Utest Dnorm, Validity

Users rating: 0/10

License: Shareware

Size: 10 KB

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