New answers tagged performance-tuning
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How to speed up numerical integration?
We can speed up with using precision and accuracy options. First, we compute without options for comparison.
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Speed up counting of digits in binary number
Please investigate how this technique fares in your application. Let's say:
SeedRandom[1];
binSequence = RandomInteger[{0, 1}, 20]
{1, 1, 0, 1, 0, 0, 0, 1, 0, 1, ...
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How is the zoom tooltip in the "Coordinates Tool" implemented?
Answering the first part of my question (thanks to Lukas Lang for pointing me in the right direction!).
The source code for the Image Assistant Toolbar that appears when you select ...
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How is the zoom tooltip in the "Coordinates Tool" implemented?
Here's a proof-of-concept demonstration of how to build your own tooltip with reasonable performance:
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6
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How to replace a multiple iterator Table to speed up computation
Set
A=N[Range[2000]];
B=N[Range[0,Pi,Pi/10000.]];
I will compare
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Speed up functions using variable types but not Compile
Here's a version that avoids the explicit conversion to binary digits and uses only bitwise operations:
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2
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Floating point precision and speed
Here's what I think I know. My impression is that I've "known" it for such a long time, I can't recall whether I "learned" it from documentation, Wolfram developers, or my own ...
- 222k
5
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Find all sets whose index is divisible by the elements
With some mathematical derivation, we can get a very simple formula.
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6
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Find min and max indices of highest and lowest elements in sorted list
OP may want to use binary search. There are many posts here on Mathematica SE relating to binary search, including this which also contains compiled code. See also this.
Code. To find the highest ...
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Find min and max indices of highest and lowest elements in sorted list
Graphical explanation of what I understood OP's wants:
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Find min and max indices of highest and lowest elements in sorted list
What about
last0 = Position[list1, 0][[-1, 1]] (* 562*)
firstN = Position[list1, Nmax][[1, 1]](*17626*)
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7
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Faster minimization of $$\|I-x A B - x B A + x^2 A B A\|^2_F$$
The objective function is a polynomial of order 4 in x. Writing out its coefficients once, we can minimize it by finding its critical points and then taking the one ...
4
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How to generate random value under the given distribution fast?
I suspect that you'll have to give up on "fast" for your un-normalized density function, as you'll need to normalize it numerically with specific values for ...
- 35.5k
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Counting number of points in fluctuating lines that fall within a circle
EDIT: I've updated the answer to use BinCounts, which suits this problem in multiple ways.
Most of the old description below applies to this solution, but here the ...
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Counting number of points in fluctuating lines that fall within a circle
Perhaps the cleanest way to find this distribution is with Nearest. I.e.
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Counting number of points in fluctuating lines that fall within a circle
I might be very well not understanding the issue because with even 100,000 points obtaining the number of points within all possible radii doesn't seem to take much time:
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Counting number of points in fluctuating lines that fall within a circle
To keep things simple I give an example for just one radius. You may adapt it for several radii yourself.
First we create the points and the circle according to your example:
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