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Command: catan | Section: 3 | Source: OpenBSD | File: catan.3
CATAN(3) FreeBSD Library Functions Manual CATAN(3)
NAME
catan, catanf, catanl - complex circular arc tangent
SYNOPSIS
#include <complex.h>
double complex
catan(double complex z);
float complex
catanf(float complex z);
long double complex
catanl(long double complex z);
DESCRIPTION
The catan(), catanf() and catanl() functions compute the complex circular
arc tangent of z.
If z = x + iy, then
Re catan(z) = 1/2 * atan(2x / (1 - x^2 - y^2)) + k Pi.
Im catan(z) = 1/4 * log((x^2 + (y + 1)^2) / (x^2 + (y - 1)^2)).
RETURN VALUES
The catan(), catanf() and catanl() functions return the complex circular
arc tangent of z with unbounded imaginary part, and real part in the
interval [-Pi/2, Pi/2].
SEE ALSO
cacos(3), casin(3)
STANDARDS
The catan(), catanf() and catanl() functions conform to ISO/IEC 9899:1999
("ISO C99").
FreeBSD 14.1-RELEASE-p8 June 5, 2013 FreeBSD 14.1-RELEASE-p8