Questions about the generation and use of compiled functions using Compile.

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120
votes
8answers
11k views

List of compilable functions

Is there somewhere a list on the functions that Compile can compile, or the cases in which a particular function can be compiled that I haven't found? I'd be glad ...
122
votes
6answers
12k views

How to compile effectively?

What are the best practices of compiling functions? I understand that this is a vague question, but let me list some aspects that might trigger useful answers. Some of these have already been answered ...
54
votes
2answers
3k views

Internal`Bag inside Compile

Since Internal`Bag, Internal`StuffBag and Internal`BagPart can be compiled down, it is a ...
37
votes
4answers
2k views

Compiling more functions that don't call MainEvaluate

I would like to use Compile with functions defined outside Compile. For example if I have the two basic functions ...
27
votes
3answers
1k views

Which Distributions can be Compiled using RandomVariate

Recently, Oleksandr kindly showed a list of Mathematica commands that can be compiled. RandomVariate was part of that list. However, whether this can be compiled depends upon the distribution that is ...
21
votes
1answer
892 views

Has this implementation of FDM touched the speed limit of Mathematica?

Still, I'll use the implementation of the 1D FDTD method (you can simply understand it as a kind of explicit finite difference scheme for the Maxwell's equation) as the example. Just for completeness, ...
17
votes
2answers
1k views

Using a compiled function inside NIntegrate gives “CompiledFunction::cfsa” message

The following function is defined for Real input: ...
44
votes
4answers
4k views

How well does Mathematica code exported to C compare to code directly written for C?

Essentially what it says in the title. Mathematica can export its code to C. How much overhead does that inflict on the code, as compared to writing it from scratch in C?
50
votes
4answers
3k views

Speeding up this fractal-generating code

I used the code below (which is a sample from this gist containing more similar code) in my answer to my own question about Mandelbrot-like sets for functions other than the simple quadratic on Math....
22
votes
1answer
3k views

How do I get Mathematica to recognize a C compiler on a 64-bit Windows machine?

Mathematica does not recognize any C compiler on my computer. I run Mathematica 8.0.4.0 on Windows 7. I've tried to make sure various C compilers are installed on my computer, but I'm not sure how to ...
10
votes
0answers
584 views

Compile recursive function modifying global variables

How to compile recursive formula when it relies on more than a few global variables (global to the topmost compiled function)? It is unreasonable to pass on all such variables to each recursive ...
8
votes
1answer
2k views

Creating a standalone (executable) from mathematica code

I have written a small mathematica code to input a ".csv" file and output the data in a specific format, in a ".txt" file. I would like to give this program as an executable to my friend as she doesn'...
-1
votes
3answers
2k views

Problem with Compile Function

I am attempting to Compile this function which is used to calculate a elastic collision in two dimensions. The two first coordinates of each list are the position ...
21
votes
3answers
1k views

How to force Compile to return multiple results?

I would like to return two separate values from a compiled function, but Mathematica refuses to use the compiled version. Here is a narrowed-down example: ...
13
votes
3answers
1k views

Function does not compile with Greater in it

I have to speed up a matrix-calculation and would like to use Compile for it, though it fails and produces an unknown error message: ...
9
votes
1answer
708 views

MinGW-64 and CompilationTarget -> “C”: can't make library

I'm trying to set up my new Windows 8.1 tablet to compile Mathematica (9.0.1) functions to C, using the MinGW-64 compiler. I have it set up so that the following works: ...
11
votes
1answer
961 views

Example program for calling Mathematica from C

I want to call Mathematica from a C program. Suppose I have two numbers x = 2 and y = 3. I want to define ...
17
votes
2answers
916 views

Efficiently collecting results inside a compiled function

When we don't know the number of results that will be generated, the usual way to collect results is Reap/Sow. Another ...
15
votes
1answer
490 views

Why is MainEvaluate being used when LinearSolve can be compiled?

According to this question LinearSolve can be compiled. However, CompilePrint[] shows a call to ...
14
votes
3answers
469 views

Quick multiple selections from a list

What is the fastest way to make multiple selections from a list? Compiled methods included. For example, here are two methods for selecting a subset, compared:- ...
6
votes
1answer
225 views

Precompiling a Whittaker function

Is there a way to speed up the evaluation of special functions in Mathematica? I am particularly interested in the Whittaker W function. For instance, the following piece of code: ...
4
votes
3answers
246 views

How to compile a diagonal array efficiently?

For example, if we use some functions defined prior to Compile, we usually have the main evaluators in the compiled codes, pointing to the definition of the ...
6
votes
0answers
175 views

Fine tuning compiled code that computes dilogarithm function

As an exercise of writing a good Compile function, I want to do the simple task of coding a routine that outputs the real part of the dilogarithm function ...
13
votes
2answers
657 views

How can I compile this function

I want to simplify my function f1 to f2, but f2 can't be compiled. How can I make it ...
18
votes
2answers
323 views

Third argument of Compile

In his last comment on this answer, halirutan shows an example in which the third argument of Compile does not have any effect. The example is as follows. ...
12
votes
1answer
362 views

Using Apply inside Compile

In this great answer a compiled version of the Nelder-Mead algorithm is presented. Since it works on arbitrary dimensions (i.e. arbitrary number of arguments), it has to use apply on the objective ...
20
votes
3answers
2k views

Fastest way to measure Hamming distance of integers

I am looking for a fast and robust way to calculate the Hamming distance of integers. The Hamming distance of two integers is the number of matching bits in their binary representations. I expect that ...
10
votes
1answer
192 views

Compilation of Total with compensated summation

I sometimes obtain an unexpected error when trying to call a compiled version of Total with compensated summation turned on. More specifically I define ...
9
votes
1answer
886 views

Compiling a recursive formula

My question is related to computing what is called "invariant measure" for a particular well known fractal - the Sierpinski triangle. We have an array m of four two by two matrices, say ...
11
votes
1answer
287 views

Bizarre behavior of With, Compile and Break

I'm guessing this is almost certainly a bug in Compile (because they're fairly common), but it's pretty weird and I spent about an hour tracking down the issue and ...
6
votes
1answer
216 views

My introduction to Compile

I am reading Fractals from the Newton-Raphson method from Peter Young's page [http://young.physics.ucsc.edu/115/]{http://young.physics.ucsc.edu/115/}. I've tried: ...
7
votes
1answer
335 views

CompilationTarget->“C” crashes the kernel

Major deviation from my original post I realize that the long code I originally had was very discouraging to debug and did not attract any answers. So I have decided to revamp this question ...
6
votes
2answers
141 views

How to define a complicated function inside the body of Compile?

I want to compile a function in a way to keep its memory footprint down. In the example below, I am trying to compile a function f that makes three calls to ...
3
votes
1answer
131 views

How to use Compile to generate an $n\times n$ array using $n$ vectors

Let's consider the following: ...
1
vote
1answer
247 views

How to compile a function whose arguments are lists containing strings?

I'm unsuccessfully trying to compile this function check[argA_, argB_] := argA[[1]] == argB[[1]]; assuming that both arguments argA and argB are of the form <...
1
vote
1answer
381 views

Compile with array operations

When I use the function f with only the Module ...
14
votes
1answer
437 views

Removing calls to MainEvalute when using inlined compiled closures

This question is tightly related to the answer Shaving the last 50 ms off NMinimize. There @OleksandR shows how inlined closures can be used to eliminate calls to ...
18
votes
1answer
654 views

Use Compile to improve performance

I've recently discovered Compile as a way to optimize my code. I wrote a program to learn something new about Compile. I have a ...
26
votes
5answers
963 views

Can (compiled) matrix permanent evaluation be further sped-up?

Update III  Mathematica 10.2.0 now ships with a predefined System`Permanent function, which the PermanentCode package ...
13
votes
2answers
243 views

How do you determine the optimal autocompilation length on your system

When you pack lists there is an overhead therefore packing a list with, say, 2 elements is likely to cost more than you get back in efficiency. Mathematica has default list lengths for which functions ...
14
votes
2answers
947 views

Speeding up random walk for many particles

I am trying to speed up this code for many particles to take a random walk. I'm not sure why it is so slow for such a simple task. I got a few hints from colleagues to reduce the precision of the ...
13
votes
1answer
199 views

CompiledFunctionCall vs. LibraryFunction

When compiling code to C, and the compiled code calls other compiled functions, I see CompiledFunctionCall in the output of ...
15
votes
1answer
416 views

Is the sharing of variables in Module/Block within Compile documented behavior?

Today I noticed something, I think for the first time. When used inside Compile variable values within Module (and ...
8
votes
2answers
334 views

How can I speed up my compiled RBF interpolating function?

Overview I have a function that acts like the Interpolation on sparse $n$-dimensional data using a simple implementation of RBF interpolation method. I want my ...
11
votes
2answers
375 views

How can I prevent a compiled function from using uncompiled evaluation?

I write a code that creates a compiled function, and then call that function over and over to generate a list. I run this code on a remote server via a batch job, and will run several instances of it....
9
votes
2answers
203 views

CompiledFunction crashes kernel

Bug fixed in 10.0.0 This crashes my kernel ...
4
votes
2answers
529 views

Using compiled function inside NMinimize

Consider this code: ...
5
votes
1answer
165 views

Is it possible to change the precision in Compile?

I'm using Compile to do some numerical calculation and I need high Precision. I was wondering if it is possible to change the ...
2
votes
1answer
108 views

How to make the code inside Compile conciser without hurting performance?

Consider the following sample: ...
1
vote
1answer
90 views