 libdspl-2.0 Digital Signal Processing Algorithm Library
DSPL-2.0 data types.

## Macros

#define RE(x)   (x)
Macro sets real part of the complex number. More...

#define IM(x)   (x)
Macro sets imaginary part of the complex number. More...

#define ABSSQR(x)   ((SQR(RE(x))) + (SQR(IM(x))))
The macro returns the square of the modulus of a complex number x. More...

## Typedefs

typedef double complex_t
Complex data type. More...

## Functions

int DSPL_API cmplx2re (complex_t *x, int n, double *re, double *im)
Separate complex vector to the real and image vectors. More...

int DSPL_API re2cmplx (double *x, int n, complex_t *y)
Convert real array to the complex array. More...

## Detailed Description

This group describes DSPL-2.0 data types and functions and macros for data types conversion.

## ◆ ABSSQR

 #define ABSSQR ( x ) ((SQR(RE(x))) + (SQR(IM(x))))

The macro returns the square of the modulus of a complex number x.

Square of the modulus of a complex number $$x = a + j b$$ equals:

$|x|^2 = x x^* = a^2 + b^2.$

Example:

double y;
RE(z) = 1.0;
IM(z) = -2.0;
y = ABSSQR(z);

Variable z = 1-2j, here j - imaginary unit, but variable y = 5.

Definition at line 534 of file dspl.h.

## ◆ IM

 #define IM ( x ) (x)

Macro sets imaginary part of the complex number.

Example:

RE(z) = 1.0;
IM(z) = -2.0;

Variable z = 1-2j, here j - imaginary unit.

This macro can be used to return imaginary part of the complex number:

complex_t z = {3.0, -4.0};
double r;
r = IM(z);

In this example z = 3-4i, but variable r will keep -4.

Definition at line 478 of file dspl.h.

## ◆ RE

 #define RE ( x ) (x)

Macro sets real part of the complex number.

Example:

RE(z) = 1.0;
IM(z) = -2.0;

Variable z = 1-2j, here j - imaginary unit.

This macro can be used to return real part of the complex number:

complex_t z = {3.0, -4.0};
double r;
r = RE(z);

In this example z = 3-4i, but variable r will keep 3.

Definition at line 420 of file dspl.h.

## ◆ complex_t

 complex_t

Complex data type.

libdspl-2.0 describes complex numbers data type as an array of two double elements. First element sets real part, second — imaginary part.

For example:

z = 1.0;
z = -2.0;

Variable z = 1-2j, here j - imaginary unit.

For the convenience of working with complex numbers implemented special macros: RE, IM, ABSSQR

Definition at line 86 of file dspl.h.

## ◆ cmplx2re()

 int cmplx2re ( complex_t * x, int n, double * re, double * im )

Separate complex vector to the real and image vectors.

Function fills re and im vectors corresponds to real and image parts of the input complex array x.

Parameters
 [in] x Pointer to the real complex vector. Vector size is [n x 1]. [in] n Size of the input complex vector x and real and image vectors re and im. [out] re Pointer to the real part vector. Vector size is [n x 1]. Memory must be allocated. [out] im Pointer to the image part vector. Vector size is [n x 1]. Memory must be allocated.
Returns
RES_OK if function converts complex vector successfully.
Else code error.
Example:
complex_t x = {{1.0, 2.0}, {3.0, 4.0}, {5.0, 6.0}};
double re, im;
cmplx2re(x, 3, re, im);

Vectors re and im will contains:

re = 1.0; im = 2.0;
re = 3.0; im = 4.0;
re = 5.0; im = 6.0;


Definition at line 130 of file complex.c.

Referenced by conv_fft(), and xcorr().

## ◆ re2cmplx()

 int re2cmplx ( double * x, int n, complex_t * y )

Convert real array to the complex array.

Function copies the vector x to the real part of vector y. Image part of the vector y sets as zero.
So complex vector contains data:
y[i] = x[i] + j0, here i = 0,1,2 ... n-1

Parameters
 [in] x Pointer to the real vector x. Vector size is [n x 1]. [in] n Size of the real vector x and complex vector y. [out] y Pointer to the complex vector y. Vector size is [n x 1]. Memory must be allocated.
Returns
RES_OK if function returns successfully.
Else code error:
Example:
double x = {1.0, 2.0, 3.0};
complex_t y;
re2cmplx(x, 3, y);

Vector y will keep:

    y = 1+0j;
y = 2+0j;
y = 3+0j.


Definition at line 246 of file complex.c.

Referenced by conv_fft(), fft(), freqs(), freqz(), and xcorr().

#define RE(x)
Macro sets real part of the complex number.
Definition: dspl.h:420
int DSPL_API re2cmplx(double *x, int n, complex_t *y)
Convert real array to the complex array.
Definition: complex.c:246
int DSPL_API cmplx2re(complex_t *x, int n, double *re, double *im)
Separate complex vector to the real and image vectors.
Definition: complex.c:130
double complex_t
Complex data type.
Definition: dspl.h:86
#define ABSSQR(x)
The macro returns the square of the modulus of a complex number x.
Definition: dspl.h:534
#define IM(x)
Macro sets imaginary part of the complex number.
Definition: dspl.h:478