Defined in header <complex.h> | ||
---|---|---|
float complex csqrtf( float complex z ); | (1) | (since C99) |
double complex csqrt( double complex z ); | (2) | (since C99) |
long double complex csqrtl( long double complex z ); | (3) | (since C99) |
Defined in header <tgmath.h> | ||
#define sqrt( z ) | (4) | (since C99) |
z
with branch cut along the negative real axis.z
has type long double complex
, csqrtl
is called. if z
has type double complex
, csqrt
is called, if z
has type float complex
, csqrtf
is called. If z
is real or integer, then the macro invokes the corresponding real function (sqrtf
, sqrt
, sqrtl
). If z
is imaginary, the corresponding complex number version is called.z | - | complex argument |
If no errors occur, returns the square root of z
, in the range of the right half-plane, including the imaginary axis ([0; +∞) along the real axis and (−∞; +∞) along the imaginary axis.).
Errors are reported consistent with math_errhandling.
If the implementation supports IEEE floating-point arithmetic,
csqrt(conj(z)) == conj(csqrt(z))
z
is ±0+0i
, the result is +0+0i
z
is x+∞i
, the result is +∞+∞i
even if x is NaN z
is x+NaNi
, the result is NaN+NaNi
(unless x is ±∞) and FE_INVALID
may be raised z
is -∞+yi
, the result is +0+∞i
for finite positive y z
is +∞+yi
, the result is +∞+0i)
for finite positive y z
is -∞+NaNi
, the result is NaN±∞i
(sign of imaginary part unspecified) z
is +∞+NaNi
, the result is +∞+NaNi
z
is NaN+yi
, the result is NaN+NaNi
and FE_INVALID
may be raised z
is NaN+NaNi
, the result is NaN+NaNi
#include <stdio.h> #include <complex.h> int main(void) { double complex z1 = csqrt(-4); printf("Square root of -4 is %.1f%+.1fi\n", creal(z1), cimag(z1)); double complex z2 = csqrt(conj(-4)); // or, in C11, CMPLX(-4, -0.0) printf("Square root of -4-0i, the other side of the cut, is " "%.1f%+.1fi\n", creal(z2), cimag(z2)); }
Output:
Square root of -4 is 0.0+2.0i Square root of -4-0i, the other side of the cut, is 0.0-2.0i
(C99)(C99)(C99) | computes the complex power function (function) |
(C99)(C99) | computes square root (\(\small{\sqrt{x} }\)√x) (function) |
C++ documentation for sqrt |
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