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

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Compilable function with the functionality of SingularValueList

I'm doing something that involves finding the singular values of a lot of matrices. Basically I need to find singular values of $n$ matrices of dimension $n\times n$, where $n$ is as large as ...
2
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0answers
51 views

Why Function is compiled?

Function isn't mentioned in the list of compilable function, but it can generally be compiled when it's formed by compilable functions, a simple example is: ...
11
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1answer
423 views

What function generates random numbers in a compiled function?

I am writing a simulation for 2D random walk. I wrote several version of code, and found that the speed is like this (fastest to slowest): C++, Mathematica compiled procedural code, Mathematica ...
0
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1answer
75 views

How to efficiently compile this function? It involves a 3-index Table [on hold]

Consider a 2-dimensional lattice with LxL sites. Each site has 4 neighbors, and we can then define a function (called below ...
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1answer
61 views

What is the meaning of the lists of numbers in the FullForm of a compiled function?

For example, f = Compile[{{x, _Real}}, x]; FullForm[f] has this output: ...
12
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1answer
436 views
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0answers
67 views

How to use Wolfram language in an external program with low latency?

Im using Wolfram language on Pi B,and I want to compile a '.m' file (like "test.m" that contains Wolfram functions), in an external program like a C/C++ and then Export the output in an image file ...
5
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0answers
77 views

Compiling FoldList implementation for RK4

Original I'm looking to write an integrator for a function of two variables. Here is my implementation for the RK4 update rule using FoldList. ...
7
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0answers
140 views

What is a good way to code long, complex, compilable algorithms?

The functional paradigm of the Wolfram Language used in Mathematica is all around wonderful. For intense numerics, Mathematica comes with the ability to Compile ...
3
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0answers
74 views

speed up evaluating a listable function

I apologize in advance for the vagueness, but I can't think of a more descriptive title. I am trying to find the average value of the square of BesselJ[0, x] ...
13
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1answer
407 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 ...
11
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1answer
673 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 ...
31
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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 ...
6
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0answers
107 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 ...
1
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2answers
63 views

How to build recursive function which only remembers every pth value and the last two values?

I need to create a recursive function of the natural numbers $f$ which only remembers the last two values it has found and every $p$th value. Below is the form of the code that I am working with, but ...
4
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2answers
255 views

How to compile this function

I want to compile my function that calculates the energy of a particle system. This is what I've tried: ...
5
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3answers
88 views

Problem with Compile and Flatten

I want to get two lists within a compiled function, where r is an integer: ...
20
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1answer
290 views

Performance regression for Fold?

Bug introduced in 8.0 and persisting through 10.1.0 or later I noticed an over 10x performance drop on Mathematica v9.0.1 (as Oleksandr R. commented, also v8) compared with v7.01 for this code: ...
8
votes
3answers
561 views

What is wrong with my expression for compiling?

Following code was translated from a snippet matlab code. Without compiling it worked slowly. I want to compile it, but am getting a numerical error. How do I compile this in a correct way? ...
24
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3answers
831 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 ...
4
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2answers
155 views

Improve simulation speed using Compile

I have two square matrices, a hermitian matrix h and an unitary matrix v. I am interested in the following function ...
15
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0answers
216 views

Compile not correctly initializing a variable defined inside Module

Bug introduced in 8.0 and persisting through 10.1.0 or later In the following example, inside the minimumX's Module, ...
6
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1answer
247 views

Compiling a function that takes lots of optional arguments

I have a function that takes lots of optional arguments (basically some design parameters, about 10 of them) and performs some basic algebraic calculations involving complex numbers with the options. ...
2
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0answers
52 views

Compilation of a function that needs to call Subsets

I'm working on a code that runs many (easy) operations on combinations (subsets) of different size (6, 7, 8, 9) taken from a big set of numbers (normally more that 40). So, this means the code has to ...
0
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1answer
82 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 ...
12
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1answer
157 views

CompiledFunctionCall vs. LibraryFunction

When compiling code to C, and the compiled code calls other compiled functions, I see CompiledFunctionCall in the output of ...
7
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1answer
276 views

Exporting a compiled function for later use

I wish to export compiled functions for later use. This means that I do not want the compiled function to be recompiled every time I reload it. It also means that if my compiled function was for ...
5
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1answer
99 views

Compilation of `Total` with CompensatedSummation

I sometimes obtain an unexpected error when trying to call a compiled version of Total with compensated summation turned on. More specifically I define ...
11
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2answers
267 views

Can RecurrenceTable make use of CompiledFunction?

I'm trying to implement a discrete-time 2D Verlet algorithm for a point-mass subject to a softened gravitational interaction as a test for a more computationally intensive simulation using ...
2
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3answers
93 views

NIntegrate-ing a compiled function

I'm trying to integrate numerically in 6 dimensions a very long expression and I read about the option to NIntegrate a compiled function which should be faster. ...
7
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1answer
140 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 ...
5
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2answers
113 views

A problem with Compile and Map

There is a weird behavior of Compile that I do not understand. Consider the following example: ...
2
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1answer
61 views
6
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5answers
465 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 ...
5
votes
1answer
202 views

Is there any strategy to have a compiled version of FindFit or NonlinearModelFit?

Disclaimer: This is not a precise question with a definite answer. I know that neither FindFit nor NonlinearModelFit is in the ...
3
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2answers
139 views

Dynamic arrays and lists with compile (Append, Linked lists etc.)

I have a code that I need to compile. The code contains a loop in which I need to gather data into a list. The question is how to best gather data so that the code works inside Compile. The following ...
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0answers
68 views
14
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2answers
173 views

CompiledFunction returns machine numbers smaller than $MinMachineNumber

When thinking on the workaround for this LogLogPlot bug suggested by halirutan I noticed that CompiledFunction actually can ...
0
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1answer
65 views

Why does Compile redo the calculation when overflow happens?

When implementing the Numerov method solving Schrodinger equation, I encountered this problem. In order to show the order of the evaluation, Print is added. ...
5
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1answer
196 views

Compile, “global variables” and recursion

I am trying to do something similar to this, namely to make a Compile'd function outer that itself calls a ...
0
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2answers
106 views

Numerical 3D Integration in Mathematica [closed]

My question in short is: Is it possible to make numerical 3D integration in mathematica efficiently? Or am I gonna have to move this to C++? I feel this problem is way too trivial to go to C++, so ...
8
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0answers
152 views

Step-by-step instruction to Install C Compiler

I remember using C compiler on my previous computers, and I never had any problems installing them. At this time, however, I failed to work through the instructions provided in Mathematica ...
0
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1answer
67 views

Correct use of Solve inside Compile

I have a function that behaves itself, but I want to make it much faster so I tried to put it into a compilable form After much fiddling I can't get it to work. Here's one of my failed attempts: ...
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0answers
78 views

How to get Mathematica to compile with target C?

I have been trying to compile some functions in mathematica with target C for speed. basically when I try: ...
0
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0answers
24 views

Returning multiple results from compiled functions in M10 [duplicate]

I have found a similar question from 2012 here. It has been 3 years now and we have version 10. Have there been any attempt to solve this problem either by Wolfram or by the community - how to return ...
5
votes
1answer
127 views

Slow-down encountered when using NMinimize with a compiled function

I'm minimizing a large function. Evaluating the function is very slow symbolically but using Compile I can get ~100x speed-up on this step. However, despite this, the NMinimize process is only ...
96
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8answers
8k 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 ...
4
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2answers
187 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 ...
1
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1answer
70 views