cargf, carg, cargl
From cppreference.com
| Defined in header
<complex.h>
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| float cargf( float complex z );
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(1) | (since C99) |
| double carg( double complex z );
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(2) | (since C99) |
| long double cargl( long double complex z );
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(3) | (since C99) |
| Defined in header
<tgmath.h>
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| #define carg( z )
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(4) | (since C99) |
1-3) Computes the argument (also called phase angle) of
z, with a branch cut along the negative real axis.
4) Type-generic macro: if
z has type long double complex, long double imaginary, or long double, cargl is called. If z has type float complex, float imaginary, or float, cargf is called. If z has type double complex, double imaginary, double, or any integer type, carg is called.
Contents |
[edit] Parameters
| z | - | complex argument |
[edit] Return value
If no errors occur, returns the phase angle of z in the interval (−π; π).
Errors and special cases are handled as if the function is implemented as atan2(cimag(z), creal(z))
[edit] Example
Run this code
#include <stdio.h> #include <complex.h> int main(void) { double complex z1 = 1.0+0.0*I; printf("phase angle of %.1f%+.1fi is %f\n", creal(z1), cimag(z1), carg(z1)); double complex z2 = 0.0+1.0*I; printf("phase angle of %.1f%+.1fi is %f\n", creal(z2), cimag(z2), carg(z2)); double complex z3 = -1.0+0.0*I; printf("phase angle of %.1f%+.1fi is %f\n", creal(z3), cimag(z3), carg(z3)); double complex z4 = conj(z3); // or CMPLX(-1, -0.0) printf("phase angle of %.1f%+.1fi (the other side of the cut) is %f\n", creal(z4), cimag(z4), carg(z4)); }
Output:
phase angle of 1.0+0.0i is 0.000000 phase angle of 0.0+1.0i is 1.570796 phase angle of -1.0+0.0i is 3.141593 phase angle of -1.0-0.0i (the other side of the cut) is -3.141593
[edit] References
- C11 standard (ISO/IEC 9899:2011):
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- 7.3.9.1 The carg functions (p: 196)
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- 7.25 Type-generic math <tgmath.h> (p: 373-375)
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- G.7 Type-generic math <tgmath.h> (p: 545)
- C99 standard (ISO/IEC 9899:1999):
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- 7.3.9.1 The carg functions (p: 178)
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- 7.22 Type-generic math <tgmath.h> (p: 335-337)
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- G.7 Type-generic math <tgmath.h> (p: 480)
[edit] See also
| (C99)(C99)(C99)
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computes the magnitude of a complex number (function) |
| (C99)(C99)
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computes arc tangent, using signs to determine quadrants (function) |
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C++ documentation for arg
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