Defined in header <complex.h> | ||
---|---|---|
#define I /* unspecified */ | (since C99) |
The I
macro expands to either _Complex_I
or _Imaginary_I
. If the implementation does not support imaginary types, then the macro always expands to _Complex_I
.
A program may undefine and perhaps then redefine the macro I
.
Notes
The macro is not named i
, which is the name of the imaginary unit in mathematics, because the name i
was already used in many C programs, e.g. as a loop counter variable.
The macro I
is often used to form complex numbers, with expressions such as x + y*I
. If I
is defined as _Complex_I
, then such expression may create a value with imaginary component +0.0
even when y
is -0.0
, which is significant for complex number functions with branch cuts. The macro CMPLX
provides a way to construct a complex number precisely.
GCC provides a non-portable extension that allows imaginary constants to be specified with the suffix i
on integer literals: 1.0fi
, 1.0i
, and 1.0li
are imaginary units in GNU C. A similar approach is part of standard C++ as of C++14 (1.0if
, 1.0i
, and 1.0il
are the imaginary units in C++).
Example
#include <stdio.h> #include <complex.h> int main(void) { printf("I = %.1f%+.1fi\n", creal(I), cimag(I)); double complex z1 = I * I; // imaginary unit squared printf("I * I = %.1f%+.1fi\n", creal(z1), cimag(z1)); double complex z = 1.0 + 2.0*I; // usual way to form a complex number pre-C11 printf("z = %.1f%+.1fi\n", creal(z), cimag(z)); }
Output:
I = 0.0+1.0i I * I = -1.0+0.0i z = 1.0+2.0i
References
- C11 standard (ISO/IEC 9899:2011):
- 7.3.1/6 I (p: 188)
- G.6/1 I (p: 537)
- C99 standard (ISO/IEC 9899:1999):
- 7.3.1/4 I (p: 170)
- G.6/1 I (p: 472)
See also
(C99) | the imaginary unit constant i (macro constant) |
(C99) | the complex unit constant i (macro constant) |
(C11)(C11)(C11) | constructs a complex number from real and imaginary parts (function macro) |
C++ documentation for operator""i |
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