Solving Engineering Problems Using MATLAB C++ Math Library

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In the previous article,
we studied how can use MATLAB C API to solve engineering problems. In
this article I will show you how can use MATLAB C++ math library. The
MATLAB� C++ Math Library serves two separate constituencies: MATLAB
programmers seeking more speed or complete independence from interpreted
MATLAB, and C++ programmers who need a fast, easy-to-use matrix math
library. To each, it offers distinct advantages.

MATrix LABoratory

MATLAB is abbreviation of Matrix Laboratory. This means every
computation was performed in matrix form. In other hand every data type
wrapped in matrix form and every function take these matrix as an input

For example you want to multiply to polynomial as follow:

A = (3x2 + 5x + 7) (4x5 + 3x3 - x2 + 1)

You can use two matrices for coefficients of any polynomials:

[3 5
for (3x2 +
5x + 7)
and [4 0 3 -1 0 1]
for (4x5 + 3x3 - x2 + 1), using conv function,
we can obtain coefficients of result:

conv([3 5 7], [4 0 3 -1 0 1]): A = [12 20 37 12 16 -4 5 7]


A = 12x7 + 20x6 + 37x5 + 12x4 + 16x3 - 4x2 + 5x + 7

C++ Math Library

The MATLAB C++ Math Library consists of approximately 400 MATLAB math
functions. It includes the built-in MATLAB math functions and many of
the math functions that are implemented as MATLAB M-files. The MATLAB
C++ Math Library is layered on top of the MATLAB C Math Library. The
major value added by this C++ layer is ease of use.

The MATLAB C++ Math Library is firmly rooted in the traditions of the
MATLAB runtime environment. Programming with the MATLAB C++ Math
Library is very much like writing M-files in MATLAB. While the C++
language imposes several differences, the syntax used by the MATLAB C++
Math Library is very similar to the syntax of the MATLAB language. Like
MATLAB, the MATLAB C++ Math Library provides automatic memory
management, which protects the programmer from memory leaks.

Every matrices represented by mwArray class, a data type
introduced by MATLAB for
constructing a matrix. As I said before, every data must be wrapped in a
matrix form in other hand: mwArray.

One C++ prototype supports all the possible ways to call a particular
MATLAB C++ Math Library
function. You can reconstruct the C++ prototype by examining the MATLAB syntax for a function. In
the following procedure, the MATLAB
function svd() is used to illustrate the process.


s = svd (X)
[U, S, V] = svd (X)
[U, S, V] = svd (X, 0)

In this example, the prototype that corresponds to [U, S, V] = svd
(X, 0) is constructed step-by-step. Until the last step, the prototype
is incomplete.

Adding the Output Arguments

  1. Subtract out the first output argument, U, to be the return value
    from the function. The data type for the return value is mwArray.

    mwArray svd(
  2. Add the remaining number of output arguments, S and V, to the
    prototype as the first, second, etc., arguments to the function. The
    data type for an output argument is mwArray*.

    mwArray svd (mwArray* S, mwArray* V,

Adding the Input Arguments

  1. Add the number of input arguments to the prototype, X and Zero, one
    after another following the output arguments. The data type for an input
    argument is mwArray.

    mwArray svd (mwArray* S, mwArray* V, const mwArray& X, 
    const mwArray& Zero);

The prototype is complete.

How to Translate a MATLAB Call into a C++ Call

This procedure translates the MATLAB call [U, S, V] = svd (X, 0) into a C++ call. The procedure
applies to library functions in general. Note that within a call to a
MATLAB C++ Math Library function, an output argument is preceded by
&; an input argument is not.

  1. Declare input, output, and return variables as mwArray
    variables, and assign values to the input variables.

  2. Make the first MATLAB output argument the return value from the

    U = svd (
  3. Pass any other output arguments as the first arguments to the

    U = svd (&S, &V,
  4. Pass the input arguments to the C++ function, following the
    output arguments.

    U = svd (&S, &V, X, 0);

The translation is complete.

Note that if you see [] as a MATLAB input argument, you should pass mwArray()
as the C++ argument. For example,

B = cplxpair (A, [], dim)


B = cplxpair (A, mwArray(), dim);

mwArray class

The mwArray class public interface is relatively small,
consisting of constructors and destructor, overloaded new and delete
operators, one user-defined conversion, four indexing operators, the
assignment operator, input and output operators, and array size query
routines. The mwArray�s public interface does not contain
any mathematical operators or functions.


The mwArray interface provides many useful constructors.
You can construct a mwArray object from the following
types of data: a numerical scalar, an array of scalars, a string, an mxArray*,
or another mwArray object.


Create an uninitialized array. An uninitialized array produces
warnings when passed to MATLAB C++ Math Library functions. If an array
is created using this default constructor, a value must be assigned to
it before passing it to a MATLAB C++ Math Library function.

To create an empty double matrix that corresponds to [] in MATLAB,
use the
function empty().

mwArray (const char *str)

Create an array from a string. The constructor copies the string.

mwArray(int32 rows, int32 cols, double
*real, double *imag = NULL)

Create a mwArray from either one or two arrays of
double-precision floating-point numbers. If two arrays are specified,
the constructor creates a complex array; both input arrays must be the
same size. The data in the input arrays must be in column-major order,
the reverse of C++�s usual row-major order. This constructor copies the
input arrays.

Note that the last argument, imag, is assigned a value of NULL in the
constructor. imag is an optional argument. When you call
this constructor, you do not need to specify the optional argument.

mwArray (const mwArray&

Copy a mwArray. This constructor is the familiar C++
copy constructor, which copies the input array. For efficiency, this
routine does not actually copy the data until the data is modified. The
data is referenced through a pointer until a modification occurs.

mwArray (const mxArray* mtrx)

Make a mwArray from an mxArray*, such as
might be returned by any of the routines in the MATLAB C Math Library or
the Application Program Interface Library. This routine does not copy
its input array, yet the destructor frees it; therefore the input array
must be allocated on the heap. In most cases, for example, with matrices
returned from the Application Program Interface Library, this is the
desired behavior.

mwArray (double start, double step, double

Create a ramp. This constructor operates just like the MATLAB colon
(:) operator. For example, the call mwArray(1, 0.5, 3)
creates the vector [ 1, 1.5, 2, 2.5, 3 ].

mwArray (int32 start, int32 step, int32 stop)

Create an integer ramp.

mwArray (const mwSubArray
& a)

Create an mwArray from an mwSubArray. When
an indexing operation is applied to an array, the result is not another
array, but an mwSubArray object. An mwSubArray object
remembers the indexing operation. Evaluation of the operation is
deferred until the result is assigned or used in another expression.
This constructor evaluates the indexing operation encoded by the mwSubArray
object and creates the appropriate array.

mwArray (double)

a 1-by-1 mwArray from a double-precision floating-point

mwArray (int)

an mwArray from an integer.

Table 1 shows mwArray constructors in brief.

Constructor Creates Example


Uninitialized array

mwArray A;

mwArray (const char *)

String array

mwArray A ("MATLAB Rules");

mwArray (int32, int32, double*,

Complex array

double real[] = { 1, 2, 3, 4 };
double imag[] = { 5,
6, 7, 8 };
mwArray A(2,2,real,imag);

mwArray (const mwArray&)

Copy of input array

mwArray A = rand(4);
B (A);

mwArray (const mxArray*)

Copy of mxArray*

mxArray *m = mlfScalar(1);
mat (m);

mwArray (double, double, double)


mwArray A(1.2, 0.1, 3.5);

mwArray (int32, int32, int32)

Integer ramp

mwArray A(1, 2, 9);

mwArray (const

Array from subarray (used in indexing)

mwArray A = rand(4);

mwArray (double)

Scalar double array

mwArray A(17.5);

mwArray (int)

Scalar integer array

mwArray A(51);

Mathematical Functions

Below is a list of useful mathematical functions of MATLAB C++ math

plus, minus mtimes, mpower acos, asin conv
conj dec2bin, dec2hex disp fft, fft2
linspace max, min roots rot90

Using C++ Math Library

To add support of MATLAB C++
Math Library follow these instructions:\

  1. Add following line at the end of stdafx.h
    #include <matlab.hpp>

    matlab.hpp is interface of MATLAB
    C++ math library. Add directory of MATLAB
    interface files (*.hpp) to Visual Studio (Tools -> Options ->
    Directories). For example: x:\matlab\extern\include\cpp, where x
    is drive letter of matlab path.

  2. Add desired libraries to your project (In this example, libmatpm.lib)
  3. Compile your project!

Sample Program

#include "stdafx.h"

#include "matlab.hpp" //Interface of MATLAB CPP Math Library

//Add C++ Math Library to project

#pragma comment(lib, "libmatpm.lib")
#pragma comment(lib, "libmx.lib")
#pragma comment(lib, "libmatlb.lib")
#pragma comment(lib, "libmat.lib")
#pragma comment(lib, "libmmfile.lib")
#pragma comment(lib, "libmatpm.lib")

int main(int argc, char* argv[])
mwArray A, B, C;

A = magic(mwArray(5));
B = transpose(A); //B=A'

C = plus(A,B); //C = A + B;

C = minus(A,B); //C = A - B;

C = mtimes(A,B); //C = A * B;

double arr1[]={3.0, 2.0, 5.0, -1.0};
double arr2[]={8.0, 1.0, 3.0, -2.0};
mwArray D(1, 4, arr1);
mwArray E(4, 1, arr2);

C = D * E; //4*4 matrix mwArray

F(0.0, 0.1, 5.0); //create double ramp

F = F * transpose(F);

A.Print("A"); //Magic Matrix, Order=5


return 0;

Known Problems

  • Compiler reports error when compiling matlab.hpp:
    c:\matlab\extern\include\cpp\matmtxif.h (16):
    fatal error C1083: Cannot open include file strstream.h.
    No such file or directory.


    This error is due to missing preprocessor definitions in the MSVC
    environments. In order to alleviate this problem, the following
    definitions must be added to the project file for the application:

    • MSVC
    • MSWIND
    • IBMPC
    • D__STDC_

    Add these preprocessors to your project:
    Project->Settings->C/C++->Preprocessor definitions.

  • Linker reports error when linking MATLAB library files:
    LINK : warning LNK4098: defaultlib "MSVCRT" conflicts with use of other libs;
    use /NODEFUALTLIB:library
    .\ex1.exe : fatal error LNK1169: one or more multiply defined symbols found
    Error executing link.exe


    To resolve this problem change project settings to build a
    Multithread Dll in the Runtime Library. Do this by following these

    • Selecting Project from the main menu
    • Selecting Settings
    • Clicking on C/C++ tab
    • Selecting Code Generation in the Category pulldown menu
    • In the Runtime Library field selecting Multithread Dll (“Debug
      Multithread Dll” will not work)
    • Click OK
    • Rebuild your project





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About the Author

A. Riazi

I was born in Shiraz,
a very beautiful famous city in Iran. I started programming when I was
12 years old with GWBASIC. Since now, I worked with various programming
languages from Basic, Foxpro, C/C++, Visual Basic, Pascal to MATLAB and
now Visual C++.
I graduated from Iran
University of Science & Technology
in Communication Eng., and
now work as a system programmer for a telecommunication industry.
wrote several programs and drivers for Synthesizers, Power Amplifiers,
GPIB, GPS devices, Radio cards, Data Acqusition cards and so many
related devices.
I’m author of several books like Learning C (primary
and advanced), Learning Visual Basic, API application for VB, Teach
Yourself Object Oriented Programming (OOP) and etc.
I’m winner of
January, May, August 2003 and April 2005 best article of month
competetion, my articles are:

You can see list of my articles, by clicking here

Occupation: Software Developer (Senior)
Company: Misbah3Com
Location: Iran 
(Islamic Republic Of) Iran (Islamic
Republic Of)


Hello, I'm Dr.kchris, a neuroscience researcher. I love studying and trying new things and also love challenging myself. Have a great day! :)

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