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Complex number arithmetic

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Revision as of 22:37, 31 May 2013 by P12bot (Talk | contribs)

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>

Contents

Types
complex type macro
(macro constant) [edit]
the complex unit constant i
(macro constant) [edit]
The imaginary constant
imaginary type macro
(macro constant) [edit]
the imaginary unit constant i
(macro constant) [edit]
(C99)
the complex or imaginary unit constant i
(macro constant) [edit]
Manipulation
(C11)(C11)(C11)
constructs a complex number from real and imaginary parts
(function macro) [edit]
(C99)(C99)(C99)
computes the imaginary part a complex number
(function) [edit]
(C99)(C99)(C99)
computes the real part of a complex number
(function) [edit]
(C99)(C99)(C99)
computes the phase angle of a complex number
(function) [edit]
(C99)(C99)(C99)
computes the complex conjugate
(function) [edit]
(C99)(C99)(C99)
computes the projection on Riemann sphere
(function) [edit]
(C99)(C99)(C99)
computes the magnitude of a complex number
(function) [edit]
Exponential functinos
(C99)(C99)(C99)
computes the complex base-e exponential
(function) [edit]
(C99)(C99)(C99)
computes the complex natural logarithm
(function) [edit]
Power functions
(C99)(C99)(C99)
computes the complex power function
(function) [edit]
(C99)(C99)(C99)
computes the complex square root
(function) [edit]
Trigonometric functions
(C99)(C99)(C99)
computes the complex arc cosine
(function) [edit]
(C99)(C99)(C99)
computes the complex arc sine
(function) [edit]
(C99)(C99)(C99)
computes the complex arc tangent
(function) [edit]
(C99)(C99)(C99)
computes the complex cosine
(function) [edit]
(C99)(C99)(C99)
computes the complex sine
(function) [edit]
(C99)(C99)(C99)
computes the complex tangent
(function) [edit]
Hyperbolic functions
(C99)(C99)(C99)
computes the complex arc hyperbolic cosine
(function) [edit]
(C99)(C99)(C99)
computes the complex arc hyperbolic sine
(function) [edit]
(C99)(C99)(C99)
computes the complex arc hyperbolic tangent
(function) [edit]
(C99)(C99)(C99)
computes the complex hyperbolic cosine
(function) [edit]
(C99)(C99)(C99)
computes the complex hyperbolic sine
(function) [edit]
(C99)(C99)(C99)
computes the complex hyperbolic tangent
(function) [edit]