Difference between revisions of "c/numeric/complex"
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{{dsc header | complex.h}} | {{dsc header | complex.h}} | ||
{{dsc h2 | Types}} | {{dsc h2 | Types}} | ||
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc complex}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc Complex_I}} |
{{dsc h2 | The imaginary constant}} | {{dsc h2 | The imaginary constant}} | ||
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc imaginary}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc Imaginary_I}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc I}} |
{{dsc h2 | Manipulation}} | {{dsc h2 | Manipulation}} | ||
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc CMPLX}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc cimag}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc creal}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc carg}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc conj}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc cproj}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc cabs}} |
{{dsc h2 | Exponential functinos}} | {{dsc h2 | Exponential functinos}} | ||
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc cexp}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc clog}} |
{{dsc h2 | Power functions}} | {{dsc h2 | Power functions}} | ||
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc cpow}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc csqrt}} |
{{dsc h2 | Trigonometric functions}} | {{dsc h2 | Trigonometric functions}} | ||
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc cacos}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc casin}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc catan}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc ccos}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc csin}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc ctan}} |
{{dsc h2 | Hyperbolic functions}} | {{dsc h2 | Hyperbolic functions}} | ||
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc cacosh}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc casinh}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc catanh}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc ccosh}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc csinh}} |
− | {{dsc inc | c/numeric/complex/ | + | {{dsc inc | c/numeric/complex/dsc ctanh}} |
{{dsc end}} | {{dsc end}} | ||
Revision as of 21:37, 31 May 2013
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) |