Tagged Questions

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

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2
votes
1answer
139 views

how to Compile user-defined function like this

the following function can be compiled successfully ...
7
votes
0answers
254 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 ...
5
votes
2answers
180 views

Can we compile using only Integers Of Unusual Size?

I coined Integers Of Unusual Size to mean "bignum" using GMP, the underpinning of Mathematica's ability to craft very big numbers. I have these functions from this question: ...
3
votes
1answer
159 views

What is the correct way to use Compiled function in Table and Plot without slow down?

On V 9.01 on windows 7, all 64 bit. I am sure I am missing something simple here, but I used all the tricks of the trade that I know about, and read docs, and do not see anything that helps. Here is ...
2
votes
2answers
151 views

Compile error from If but not from Piecewise

Consider this: point={1.,2.}; f1 = Compile[{{t, _Real}}, Evaluate[Block[{a, b}, {a, b} = point; If[t > 0., a*b*Sin[t], 0.]]]]; f1[2.] ...
8
votes
1answer
259 views

How to compile Heike's winding number function?

Heike gave the following function for winding number: ...
4
votes
1answer
152 views

How to set return type of `InterpolatingFunction ` in compile

Consider this ...
2
votes
2answers
119 views

Error when compiling function containing InterpolationFunction

I'm trying to solve a coupled ODE system using NDSolve. The coupling can turn on and off in some regions, and when the coupling is off, the solution can be written ...
5
votes
1answer
165 views

Error messages from compiling the Piecewise function

The following works Compile[{{x, _Real}}, Piecewise[{{{0., 0.}, x > 5.}}, {1., 1.}]] but if I enter the Piecewise[...] in ...
0
votes
0answers
55 views
17
votes
1answer
244 views

Performance of compiled functions

I am trying to find the fastest way to calculate two values where both of them are sum of different expressions. I combine both calculations in one Sum[]. I'm ...
1
vote
1answer
184 views

Calling several compiled functions inside another

Below, there is an example how I tried to call the compiled function "position" (which i got from this link position) inside another one. ...
1
vote
0answers
76 views

How can I compile function with Apply?

For example, I tried to compile this function but Mathematica gives "The only function arguments supported are Times, Plus, or List", I have no a way to compile this. ...
8
votes
1answer
275 views

Mathematica8 can compile this function but Mathematica 9 can't if I set CompilationTarget -> “C”

Following code worked on Mathematica 8, but in Mathematica 9 it can't be compiled, it return this message CompiledFunction::cflist: Nontensor object generated; proceeding with uncompiled ...
3
votes
2answers
224 views

Underflow occurred in compilation

This code shown below works well for n<=10, if n>11, Mathematica gives the message CompiledFunction::cfne: Numerical error encountered; proceeding with uncompiled evaluation. >>. So ...
9
votes
0answers
150 views

Compile not correctly initializing a variable defined inside Module

In the following example, inside the minimumX's Module, x is initialized to 1, but the ...
28
votes
4answers
1k 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 F and G F[x_] := x + 2 G[x_] := x And I want ...
6
votes
0answers
98 views

Compiled function crashes kernel when trying to list over different length arguments

I'm trying to speed up a tally/binning operation that I have to run many times. I have many lists of between 1 and 10 numbers from the range [1,5] and I want to ...
16
votes
1answer
671 views

What technical obstacles prevent all Mathematica code compiling to C

The following represents an attempt at a very simple view of the levels in Mathematica code: We have had lots of questions about deployment and compiling Mathematica code to C. Some of these for ...
14
votes
2answers
1k 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 ...
4
votes
1answer
237 views

Is it possible to create a compiled function with some symbolic arguments?

I am trying to create a compiled function that takes in several arguments. However, some of the arguments contain symbolic entries and thus I get the following error message when executing the cell ...
3
votes
1answer
197 views

Compile: Putting integers into a list

The first part below is already answered, but I've got another question which I think is closely related to this one, so I edited my question. First part: I started compiling in Mathematica a few ...
1
vote
1answer
136 views

Efficient evaluation of function defined by multiple Sum

I tried to make a workable example here. The problem is that it is very very slow. I must be doing something very stupid out here. Can somebody give me some clue how to evaluate this multiple sum ...
12
votes
2answers
481 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 ...
0
votes
1answer
162 views

Alleviating a bottleneck involving a function call with symbolic derivatives

I have a bottleneck problem involving a function call with symbolic derivatives. I don't have much experience with Mathematica (or any dynamic language) and I'm certain that the way I've set this up ...
0
votes
0answers
74 views
11
votes
3answers
563 views

Efficient implementation of a linear complexity measure of binary sequences

For a implementation of testing the quality of random number generators I implemented the NIST test suite in Mathematica based on the nice workbook by Ilja Gerhardt. However I took up the challenge ...
0
votes
1answer
425 views

How to use Compile for accelerating matrix multiplications?

I am trying to find the inverse of the matrix $A$ m = n = 500; SeedRandom[123456]; A = RandomReal[10, {m, n}]; iteratively using the following matrix ...
6
votes
1answer
278 views

Why does compiling a function with ConstantArray give an error when used in parallel?

Here is a sample compiled function: ...
1
vote
1answer
80 views

Why doesn't Compile work on Permutations function with second args?

Here is a narrowed-down example, the first case works, but the second one refuses to use the compiled version: ...
2
votes
0answers
219 views

Listing over multiple inputs (tensor rank > 1) in a compiled function

I'm trying to optimize the solution given by Michael E2 to my previous problem (Efficiently determining if 3D points are within a surface composed of polygons) which I figured would be relatively ...
6
votes
1answer
228 views

Compiling Error functions of complex values

According to List of compilable functions Erf and Erfc are compilable functions. However, I want to make a compiled version of ...
14
votes
1answer
306 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 ...
11
votes
1answer
260 views

Is it possible to use Compile on a function with optional arguments?

My Mathematica is a little rusty, so apologies in advance. I think my problem is quite simple, but I can't seem to find the answer on my own! Simple example : ...
3
votes
2answers
239 views

Listable compiled function using Map

I'm trying to minimize the computation time of problem which is too long to post. I use compilein order to gain some speed. To increase speed I would like to use ...
14
votes
3answers
395 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:- ...
2
votes
2answers
184 views

What is the maximum real value for Compile?

Can one be found programmatically? The function I'm compiling, indicesOfMin, gives the indices of the minimum value(s) of a real-valued list, the parameter, in a ...
0
votes
1answer
295 views

I can't get Compile to work

I've got some problems with my code, and I try to make it faster. Some of you suggested me to split my problem, and I'm here... I post the same function with and without Compile. This is a support ...
13
votes
1answer
252 views

How can you profile compiled code?

Is it possible to profile compiled code? I am using Workbench 2.0 and the Profile[] command but I do not get a profile of my compiled function. I apologize if the answer is readily available but I ...
8
votes
1answer
686 views

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

The following function is defined for Real input: FFc = Compile[{{x, _Real}, {EF, _Real}},If[x > EF, 0., If[x == EF, 0.5, 1.]]] FFc is now used in the ...
5
votes
2answers
151 views

CompiledFunction crashes kernel

This crashes my kernel ...
10
votes
2answers
321 views

Compiling LinearSolve[] or creating a compilable procedural version of it

Earlier today I had a discussion with a representative at Premier Support about the 2 questions I've asked here over the past couple of days: Seeking strategies to deploy a function securely ...
2
votes
1answer
535 views

3 hour calculation? ParallelMap & ParallelTable

I'm having some problems with slow Mathematica code... I'm basically doing a computation that's is expected to take 3 hours (!) in my Core i7 with 4 processors... I'm basically computing an index (of ...
9
votes
1answer
253 views

error when defining a compiled function with ReplacePart

I always have difficulty in writing a non-trivial compiled function. I'm using Mathematica 9. Please see the following code ...
4
votes
4answers
362 views

How to compile the code for generate Pythagorean_triple?

I am finding Pythagorean_triple, it worked slowly. I tried to compile, but it gives some warnings. I also use "Case" or "Do" ,both of them failed.I'm sure my CCompiler has been set correctly. How can ...
7
votes
1answer
265 views

Compiling Map over expression that yields a ragged array

I'm trying to speed up a function that looks in the neighborhood of each 3D point in a large dataset and finds all the points within 1 unit in each direction, x, y, z. I've started by using ...
7
votes
1answer
524 views

Speeding up numerical Fourier Transform

I wrote this function NFourierTransform, which takes a function $f(k)$ and numerically calculates the fourier transform integral for discrete values of $k \in ...
4
votes
2answers
517 views

Optimize inner loops

I'm Mathematica newbie so please be gentle :) I have this, heavily non-optimized part of code, which I would like to speed up. I have put all matrices to be RandomReal, but in my code they take ...
4
votes
2answers
161 views

Error in Compiled function at runtime in spatial competition model

I just did a model of spatial competition between two species with different competitive ability & dispersal rates on a lattice with variables nrs of individuals per site. To speed it up I tried ...
7
votes
2answers
283 views

Compiling a spatial predator-prey model and optimising it for speed

I just made a spatial predator-prey model but it runs a little slow and I am seeking some advice on how to compile it to optimise it for speed. I first define matrix with 0 for an empty site, 1 for a ...