csqrt

Compute the square root of complex number x.

Interface Definition

C interface:

float complex csqrtf(float complex x);

double complex csqrt(double complex x);

long double complex csqrtl(long double complex x);

Fortran interface:

RES = SQRTF(X);

RES = SQRT(X);

Parameters

Parameter	Type	Description	Input/Output
x	For csqrtf, x is of complex single-precision floating-point type. For csqrt, x is of complex double-precision floating-point type. For csqrtl, x is of complex, long, double-precision floating-point type.	Floating-point value of the input data.	Input

Return Value

Real Part of the Input (x.real)	Imaginary Part of the Input (x.imag)	Real Part of the Output (y.real)	Imaginary Part of the Output (y.imag)
±0	+0	+0	+0
±0	-0	+0	-0
±0	+inf	+inf	+inf
±0	-inf	+inf	-inf
+inf	+0	+inf	+0
+inf	-0	+inf	-0
-inf	+0	+0	+inf
-inf	-0	+0	-inf
±inf	+inf	+inf	+inf
±inf	-inf	+inf	-inf
Any	nan	nan	nan
nan	Any	nan	nan

Dependency

C: "km.h"

Examples

C interface:

    // typical usage
    double x1 = 1.0, x2 = 2.0, x3 = 3.0, x4 = 4.0;
    double complex cx1 = __builtin_complex(x1, x2);
    double complex cx2 = __builtin_complex(x3, x4);

    // print result
    double ry;
    double iy;
    ry = __real__ csqrt(cx1);
    iy = __imag__ csqrt(cx1);
    printf("csqrt(cx1) = %.15f, %.15f\n", ry, iy);
    ry = __real__ csqrt(cx2);
    iy = __imag__ csqrt(cx2);
    printf("csqrt(cx2) = %.15f, %.15f\n", ry, iy);
    /*
     * csqrt(cx1) = 1.272019649514069, 0.786151377757423
     * csqrt(cx2) = 2.000000000000000, 1.000000000000000
     * */

Fortran interface:

    REAL(8) :: X = 3.0 
    PRINT*,  SQRT(X) 
    ! 
    ! OUTPUT 
    !     1.732050807568877 
    !

Parent topic: Complex Functions