Difference between revisions of "c/numeric/complex"
(fix compilation errors in the new example) |
m (one of my compilers actually prints 16 for sizeof(long double complex)) |
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printf("%2zu\n", sizeof(float complex)); /* 8 */ | printf("%2zu\n", sizeof(float complex)); /* 8 */ | ||
printf("%2zu\n", sizeof(double complex)); /* 16 */ | printf("%2zu\n", sizeof(double complex)); /* 16 */ | ||
− | printf("%2zu\n", sizeof(long double complex)); /* | + | printf("%2zu\n", sizeof(long double complex)); /* implementation-defined */ |
return 0; | return 0; | ||
} | } |
Revision as of 07:32, 7 February 2014
The header <complex.h>
defines macros and declares functions that support complex number arithmetic. Complex values are values of type double complex
, float complex
, long double complex
,
If the macro constant __STDC_IEC_559_COMPLEX__
(C99) is defined by the compiler, in addition to the complex types, the imaginary types are also supported: double imaginary
, float imaginary
, and long double imaginary
. When a value of imaginary type is converted to a value of complex type, the resulting complex type has its real component set to zero. When a value of complex type is converted to a value of imaginary type, the real component is discarded.
Standard arithmetic operators +, -, *, / can be used with real, complex, and imaginary types in any combination.
If the macro constant __STDC_NO_COMPLEX__
(C11) is defined by the compiler, the header <complex.h>
and all of the names listed here are not provided.
If #pragma STDC CX_LIMITED_RANGE on is used, complex multiplication, division, and absolute value may use simplified mathematical formulas, despite the possibility of intermediate overflow.
Defined in header
<complex.h> | ||
Types | ||
(C99) |
complex type macro (keyword macro) | |
(C99) |
the complex unit constant i (macro constant) | |
The imaginary constant | ||
(C99) |
imaginary type macro (keyword macro) | |
(C99) |
the imaginary unit constant i (macro constant) | |
(C99) |
the complex or imaginary unit constant i (macro constant) | |
Manipulation | ||
(C11)(C11)(C11) |
constructs a complex number from real and imaginary parts (function macro) | |
(C99)(C99)(C99) |
computes the imaginary part a complex number (function) | |
(C99)(C99)(C99) |
computes the real part of a complex number (function) | |
(C99)(C99)(C99) |
computes the phase angle of a complex number (function) | |
(C99)(C99)(C99) |
computes the complex conjugate (function) | |
(C99)(C99)(C99) |
computes the projection on Riemann sphere (function) | |
(C99)(C99)(C99) |
computes the magnitude of a complex number (function) | |
Exponential functinos | ||
(C99)(C99)(C99) |
computes the complex base-e exponential (function) | |
(C99)(C99)(C99) |
computes the complex natural logarithm (function) | |
Power functions | ||
(C99)(C99)(C99) |
computes the complex power function (function) | |
(C99)(C99)(C99) |
computes the complex square root (function) | |
Trigonometric functions | ||
(C99)(C99)(C99) |
computes the complex arc cosine (function) | |
(C99)(C99)(C99) |
computes the complex arc sine (function) | |
(C99)(C99)(C99) |
computes the complex arc tangent (function) | |
(C99)(C99)(C99) |
computes the complex cosine (function) | |
(C99)(C99)(C99) |
computes the complex sine (function) | |
(C99)(C99)(C99) |
computes the complex tangent (function) | |
Hyperbolic functions | ||
(C99)(C99)(C99) |
computes the complex arc hyperbolic cosine (function) | |
(C99)(C99)(C99) |
computes the complex arc hyperbolic sine (function) | |
(C99)(C99)(C99) |
computes the complex arc hyperbolic tangent (function) | |
(C99)(C99)(C99) |
computes the complex hyperbolic cosine (function) | |
(C99)(C99)(C99) |
computes the complex hyperbolic sine (function) | |
(C99)(C99)(C99) |
computes the complex hyperbolic tangent (function) |
Example
#include <stdio.h> /* printf() */ #include <complex.h> /* complex, float complex, I, ... */ int main () { #ifdef __STDC_IEC_559_COMPLEX__ printf("_STDC_IEC_559_COMPLEX__ defined\n"); #else printf("_STDC_IEC_559_COMPLEX__ not defined\n"); #endif #ifdef __STDC_NO_COMPLEX__ printf("__STDC_NO_COMPLEX__ defined\n"); #else printf("__STDC_NO_COMPLEX__ not defined\n"); #endif printf("\n"); printf("%2zu\n", sizeof(float complex)); /* 8 */ printf("%2zu\n", sizeof(double complex)); /* 16 */ printf("%2zu\n", sizeof(long double complex)); /* implementation-defined */ return 0; }
Output:
_STDC_IEC_559_COMPLEX__ defined __STDC_NO_COMPLEX__ not defined 8 16 32