# conjf, conj, conjl

< c‎ | numeric‎ | complex

Complex number arithmetic
Types and the imaginary constant
 complex(C99) _Complex_I(C99) CMPLX(C11)
 imaginary(C99) _Imaginary_I(C99) I(C99)
Manipulation
 cimag(C99) creal(C99) carg(C99)
 cabs(C99) conj(C99) cproj(C99)
Power and exponential functions
 cexp(C99) clog(C99)
 cpow(C99) csqrt(C99)
Trigonometric functions
 ccos(C99) csin(C99) ctan(C99)
 cacos(C99) casin(C99) catan(C99)
Hyperbolic functions
 ccosh(C99) csinh(C99) ctanh(C99)
 cacosh(C99) casinh(C99) catanh(C99)

 Defined in header  float complex       conjf( float complex z ); (1) (since C99) double complex      conj( double complex z ); (2) (since C99) long double complex conjl( long double complex z ); (3) (since C99) Defined in header  #define conj( z ) (4) (since C99)
1-3) Computes the complex conjugate of z by reversing the sign of the imaginary part.
4) Type-generic macro: if z has type long double complex, long double imaginary, or long double, conjl is called. If z has type float complex, float imaginary, or float, conjf is called. If z has type double complex, double imaginary, double, or any integer type, conj is called.

## Contents

### Parameters

 z - complex argument

### Return value

The complex conjugate of z.

### Notes

On C99 implementations that do not implement I as _Imaginary_I, conj may be used to obtain complex numbers with negative zero imaginary part. In C11, the macro CMPLX is used for that purpose.

### Example

#include <stdio.h>
#include <complex.h>

int main(void)
{
double complex z = 1.0 + 2.0*I;
double complex z2 = conj(z);
printf("The conjugate of %.1f%+.1fi is %.1f%+.1fi\n",
creal(z), cimag(z), creal(z2), cimag(z2));

printf("Their product is %.1f%+.1fi\n", creal(z*z2), cimag(z*z2));
}

Output:

The conjugate of 1.0+2.0i is 1.0-2.0i
Their product is 5.0+0.0i

### References

• C11 standard (ISO/IEC 9899:2011):
• 7.3.9.4 The conj functions (p: 198)
• 7.25 Type-generic math <tgmath.h> (p: 373-375)
• G.7 Type-generic math <tgmath.h> (p: 545)
• C99 standard (ISO/IEC 9899:1999):
• 7.3.9.3 The conj functions (p: 179)
• 7.22 Type-generic math <tgmath.h> (p: 335-337)
• G.7 Type-generic math <tgmath.h> (p: 480)