Questions tagged [compile]
Questions about the generation and use of compiled functions using Compile.
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Numerical errors in compiled function involving real and complex numbers as output
I am trying to use the Compile command in Mathematica to reduce the computation time because of its fast execution within Mathematica and ability to use the ...
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Why does NIntegrate become much faster if I evaluate a function, then compile it, then make it numerical?
I am using Mathematica for numerical integrals in optics. By accident, I found out that NIntegrate becomes faster by an order of magnitude for a function I'm integrating, if I take the following steps:...
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Problem with the return type of Compile [closed]
Can I return anything other than a real number with a compiled function ?
In the example below, I use Compile on a toy function to illustrate my problem, the real ...
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Using compile to speed up evaluation of a While loop
I want to calculate a loop. For speed, I compiled my code. Even after the compilation, it is still very slow in getting the results.
Are there any further improvements that can be made to my code?
<...
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Repeated calling of a ParametricNDSolve result in a faster way?
I recently learned of ParametricNDSolve and found that I need to compute it once and then call its result sol at different ...
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How to speed up by Compile?
I need to NDSolve a system many times by scanning some of its parameters and do some matrix calculation with the (discretized) solutions. The example is the ...
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Compile function with only some variables [closed]
I made the simple example below for explaining the problem. How can I compile only some variables?
For example, in the example only a and ...
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Compile - Optimization of function calls - does it matter?
I was surprised to see that, in the results of CompilePrint for a function made with Compile, calls to ...
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Downvalues for compiled functions
I'm a noob when it comes to DownValues, UpValues, OwnValues, etc. but I figured I would give ...
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Functions within modules within Compile
I've noticed that if I try to define a Function within a Module within Compile, I get errors ...
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'Block' with 'Compile' gives an error
Here is a minimal example to the problem I face when using Compile with Block:
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What does Compile[] do to make code run so much faster?
I am looking for an ELI5 explanation of what Compile[] in the Wolfram Language context does and why it works so much faster than uncompiled code in certain cases. I am trying to get more insight to ...
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What exactly prevents this code from compiling?
I am trying to compile a function that operates on an initial array (doing some sequential operation) to produce a matrix (which consists of N iterations of the initial array).
Below is a minimal ...
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Can I improve performance of compiled deleteDuplicates?
I'm working on a project to compute pairs of complex numbers and need to delete the duplicates (within some tolerance, 10^-5 below). I was wondering if the performance of my compiled version can be ...
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k-subsets of several sets?
Problem: Let A and B be lists of lists of integers. I wish to find every k-element set, ...
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How to collect results from compiled function in ParallelEvaluate?
I am using Mathematica 12.x and have a compiled function, returning many things. I would like to run several instances of this compiled function, one for each core of my CPU, and then collect all of ...
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How to inline a variable in function definition
I need to compile a function g that calls an external function f. f and ...
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Are arbitrary expressions allowed as input arguments in Compile?
I made a typo when entering code for Compile. I thought it should have resulted in an error when the code was compiled, but it didn't. It did give an error when ...
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Speed improvement for root finding
I'm wondering whether it is possible to speed up the following code that I'm using to find points on the intersection between a line and the zero locus of an equation.
The idea is the following. First,...
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Create Compiled Version of Function
I am trying to speed up the following function by compilation:
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Effectivelly using Compile for calculate a Unitary transformation
I am new to Mathematica, and this is my first post, so if my question is not clear enough, I would be glad to read the comments and edit my question to add more information.
The problem
I need to ...
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LTemplate and external library Armadillo
As a great fan of the simplicity of the LTemplate library for the end user I am now faced with a problem when apparently everything compiles correctly but the functions are not loaded from the library....
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Compiling RiccatiSolve LQRegulator gains
Given some specific matricies, numA, numB, numP, q and r to calculate LQR gains, one can use simply LQRegulatorGains or solve the same via ...
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Strange Behavior of Compile[] inside With[]
Consider, in the examples below, the difference between defining $n$ as a global variable or as an argument to function comp[], which includes a compiled function ...
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Mathematica does not recognize c compiler
I have Mathematica 11.1 and Windows 10 OS. I need to use c based compilation inside Mathematica, like ...
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Compiled Function is slower than non-compiled version?
I need to maximize a function numerically, thus the speed of this function is very important. Here is the most time consuming part of this function.
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How to have a common input for different nb file
I have a set of five files. Each file takes a common input. But I need to change the input and run the files. The output of some file are used in other files. So how to do this. And also is there any ...
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Convert huge (10-100MB of plain text) Mathematica function for external use
I have a huge Mathematica function (plain text ranging 10-100MB) that I am trying to convert to Fortran for external use. I tried using FortranForm, which does most of the work, and cleaned the code ...
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How to do meta-programming inside Compile?
I'd like to do this: solve some linear systems, compiling the task of getting the building up the matrices from parameter values, and then I have a compiled implementation of LinearSolve. The problem ...
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How to compile a function that takes a list of arguments using InlineExternalDefinitions?
I can do this right now, but I'd love to make the argument a list. (I have a compiled implementation of Linear Solve from here https://mathematica.stackexchange.com/a/91881/73342).
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How to use a list inside Compile—it says it should be a machine-size real number?
Super simple question, but I'm lost here.
f = Compile[{{a, _Real}, {b, _Real}, {c, _Real}},
x /. NSolve[a x^2 + b x + c == 0, {x}]]
f[1., -4., -5.]
gives the ...
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Writing compiled functions as fast as Python's Numba
I want to write some code to simulate a damped oscillator that is just as fast as code written using Numba's @njit decorator. I've written the mathematica code and ...
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Basic question of "good" habits during the evaluation of a notebook in mathematica
Suppose that I have notebook, call it Nb1. And I want to evaluate the notebook Nb1, next suppose that the process is slow, but I have to evaluate other notebooks, suppose Nb2, and Nb3. I see that ...
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Optimal code generation for evaluation of a fixed set of multivariate rational polynomials
Given a set of multivariate rational polynomials, is it possible to find the optimal (shortest or least expensive in some other sense) sequence of arithmetical operations, such that it results in ...
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How to use CompilerOptions?
The refpage for FunctionCompile's option CompilerOptions is empty of examples:
Does anyone know what keys and values can be ...
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why this simple code is not giving the right answer under Compile
I have two sets of inputs that are to be fed to a simple function. The inputs are essentially a set of triangles and the normal for each triangle. The function will compute the gradient about the ...
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Compile a function with undetermined number of variables
I have been wrapping my head about a question it may look simple to you. I want compile a function that depends on a number of undetermined variables as,
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How to handle numerical exception within a compiled function
I'm trying to evaluate a series of expressions, which, given a set of parameters, may be complex. Instead of throwing a CompiledFunction::cfn, I'm trying to catch ...
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Issue with Compile for Complex Input/Output
I'm writing a Runge-Kutta algorithm for solving a system of coupled differential equations. My code works fine when defined as a module, but when I try to compile it, I get the following error:
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Faster methods for performing repeated list manipulations?
I've done my best to pore over the other posts on this site, and to the best of my ability I can't seem to find a good solution to my problem, so I apologize in advance if elements of my question are ...
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Compiling with Listable option and Parallelization
I have a bunch of triangles (200k) I need to calculate the normals of. Here are five of them below, each one with its vertices in CCW order.
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Table vs. ConstantArray efficiency with compilation
I've been trying to optimize a bit of code the past couple of days, but think I might be misunderstanding how compilation on certain target functions works. As a most barebones example, I've attached ...
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How to use DataStructure in FunctionCompile?
The official document said
compile a function that can work with data structures
but how to use it?
There is no doubt that it is possible to use DataStructure as a function parameter:
...
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Compiling a function depending on an external function
Consider the simple case:
g[x] := x^3;
f[x] := x^2 + g[x];
cf = Compile[{{x, _Real}}, x^2 + g[x]]
Evaluating the two functions, Mathematica complains that the ...
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How to use IntegerQ in FunctionCompile?
Seems like an easy request, but I've somehow gotten myself stuck again:
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How to use Bags in FunctionCompile?
I was reading this question and it wanted to know how to FunctionCompile this:
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Maximizing efficiency of a power-tower (tetration) calculation
I'm working on a power tower $\displaystyle z^{z^{.^{.^{.}}}}$ and wish to maximize the efficiency of my algorithm to compute a cycle map. This is a color-coded diagram of the cycle period of each ...
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Compilation: How to get rid of MainEvaluate[Hold[myFunction][arg1, arg2, arg3]]
I am trying the following code:
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