From 754bbf7a25a8dda49b5d08ef0d0443bbf5af0e36 Mon Sep 17 00:00:00 2001 From: Craig Jennings Date: Sun, 7 Apr 2024 13:41:34 -0500 Subject: new repository --- devdocs/c/numeric%2Fcomplex%2Fccos.html | 52 +++++++++++++++++++++++++++++++++ 1 file changed, 52 insertions(+) create mode 100644 devdocs/c/numeric%2Fcomplex%2Fccos.html (limited to 'devdocs/c/numeric%2Fcomplex%2Fccos.html') diff --git a/devdocs/c/numeric%2Fcomplex%2Fccos.html b/devdocs/c/numeric%2Fcomplex%2Fccos.html new file mode 100644 index 00000000..99cece77 --- /dev/null +++ b/devdocs/c/numeric%2Fcomplex%2Fccos.html @@ -0,0 +1,52 @@ +

ccosf, ccos, ccosl

Defined in header <complex.h> 
float complex       ccosf( float complex z );
+		 (1) (since C99) 
double complex      ccos( double complex z );
+		 (2) (since C99) 
long double complex ccosl( long double complex z );
+		 (3) (since C99)
Defined in header <tgmath.h> 
#define cos( z )
+		 (4) (since C99)
+1-3) Computes the complex cosine of z.
+4) Type-generic macro: If z has type long double complex, ccosl is called. if z has type double complex, ccos is called, if z has type float complex, ccosf is called. If z is real or integer, then the macro invokes the corresponding real function (cosf, cos, cosl). If z is imaginary, then the macro invokes the corresponding real version of the function cosh, implementing the formula cos(iy) = cosh(y), and the return type is real.

Parameters

+ +
z - complex argument

Return value

If no errors occur, the complex cosine of z is returned.

+

Errors and special cases are handled as if the operation is implemented by ccosh(I*z).

+

Notes

The cosine is an entire function on the complex plane, and has no branch cuts. Mathematical definition of the cosine is cos z =

+eiz+e-iz/2

Example

#include <stdio.h>
+#include <math.h>
+#include <complex.h>
+ 
+int main(void)
+{
+    double complex z = ccos(1);  // behaves like real cosine along the real line
+    printf("cos(1+0i) = %f%+fi ( cos(1)=%f)\n", creal(z), cimag(z), cos(1));
+ 
+    double complex z2 = ccos(I); // behaves like real cosh along the imaginary line
+    printf("cos(0+1i) = %f%+fi (cosh(1)=%f)\n", creal(z2), cimag(z2), cosh(1));
+}

Output:

+
cos(1+0i) = 0.540302-0.000000i ( cos(1)=0.540302)
+cos(0+1i) = 1.543081-0.000000i (cosh(1)=1.543081)

References

See also

+ + + + +
+
(C99)(C99)(C99)
 computes the complex sine
(function)
+
(C99)(C99)(C99)
 computes the complex tangent
(function)
+
(C99)(C99)(C99)
 computes the complex arc cosine
(function)
+
(C99)(C99)
 computes cosine (\({\small\cos{x} }\)cos(x))
(function)
C++ documentation for cos
+

+ © cppreference.com
Licensed under the Creative Commons Attribution-ShareAlike Unported License v3.0.
+ https://en.cppreference.com/w/c/numeric/complex/ccos +

+
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