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The complex.h header file is part of the
standard C library, defines various functions and macros for working with
complex numbers. The complex number (Z) contains of both a real part and an
imaginary part.
A complex number represented as x + yi, where x is the real part, y is the
imaginary part, and i is the imaginary unit (defined as the square root of
-1).
C − complex.h Types
Following are the types defined in the header
complex.h −
| Sr.No. | Types & Description |
|---|---|
| 1 |
imaginary
This is imaginary type macro.
|
| 2 |
complex
This is complex type macro.
|
Manipulation Functions
Following are the Manipulation functions −
| Sr.No. | Function & Description |
|---|---|
| 1 |
double complex CMPLX(double real, double imag)
|
| 2 |
double creal( double complex z ) This function computes the real part of a complex number.
|
| 3 |
double cimag( double complex z ) This function computes the imaginary part of the complex number.
|
| 4 |
double cabs( double complex z ) This function calculate the magnitude of a complex number.
|
| 5 |
double carg( double complex z ) This function calculate the phase angle of a complex number.
|
| 6 |
double complex conj( double complex z ) This function calculate the complex conjugate.
|
| 7 |
double complex cproj( double complex z ) This function calculates the projection on Riemann sphere.
|
Power Functions
Following are the Power functions −
| Sr.No. | Function & Description |
|---|---|
| 1 |
double complex cpow( double complex x, double complex y ) This function calculates the complex power function.
|
| 2 |
double complex csqrt( double complex z ) This function calculates the complex square root.
|
Exponential Functions
Following are the Exponential functions −
| Sr.No. | Function & Description |
|---|---|
| 1 |
double complex cexp( double complex z ) This function calculates the complex base-e exponential.
|
| 2 |
double complex clog( double complex z ) This function calculates the complex natural logarithm.
|
Trigonometric Functions
Following are the Trigonometric functions −
| Sr.No. | Function & Description |
|---|---|
| 1 |
double complex csin( double complex z ) This function calculates the complex sine.
|
| 2 |
double complex ccos( double complex z ) This function calculates the complex cosine.
|
| 3 |
double complex ctan( double complex z ) This function calculates the complex complex tangent.
|
| 4 |
double complex casin( double complex z ) This function calculates the complex arc sine.
|
| 5 |
double complex cacos( double complex z ) This function calculates the complex arc cosine.
|
| 6 |
double complex catan( double complex z ) This function calculates the complex arc tangent.
|
Hyperbolic Functions
Following are the Hyperbolic functions −
| Sr.No. | Function & Description |
|---|---|
| 1 |
double complex csinh( double complex z ) This function calculates the complex hyperbolic sine.
|
| 2 |
double complex ccosh( double complex z ) This function calculates the complex hyperbolic cosine.
|
| 3 |
double complex ctanh( double complex z ) This function calculates the complex hyperbolic tangent.
|
| 4 |
double complex casinh( double complex z ) This function calculates the complex arc hyperbolic sine.
|
| 5 |
double complex cacosh( double complex z ) This function calculates the complex arc hyperbolic cosine.
|
| 6 |
double complex catanh( double complex z ) This function calculates the complex arc hyperbolic tangent.
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