C Library - <complex.h>

Quiz

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.

Sr.No.

Types & Description

imaginary

This is imaginary type macro.

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) This function construct a complex number from real and imaginary part.
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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