# __tanpi(3) [osx man page]

```__TANPI(3)						   BSD Library Functions Manual 						__TANPI(3)

NAME
__tanpi -- tangent-pi function

SYNOPSIS
#include <math.h>

float
__tanpif(float x);

double
__tanpi(double x);

DESCRIPTION
The __tanpi() function returns the tangent of pi times x (measured in radians).  This can be computed more accurately than tan(M_PI * x),
because it can implicitly use as many bits of pi as are necessary to deliver a well-rounded result, instead of the 53-bits to which M_PI is
limited.  For large x it may also be more efficient, as the argument reduction involved is significantly simpler.

This function may be especially useful for working with degrees; whereas tan(M_PI * x / 180.0) cannot produce exact results for angles that
naively "should" be exact, like 90 degrees, __tanpi(x / 180.0) can be computed exactly.

SPECIAL VALUES
__tanpi(-x) is the same as - __tanpi(x) for any finite x.
__tanpi(+-0) returns +-0.
__tanpi(n) returns +0 for any positive even integer n.
__tanpi(n) returns -0 for any positive odd integer n.
__tanpi(n + 0.5) returns +infinity for any even integer n.
__tanpi(n + 0.5) returns -infinity for any odd integer n.
__tanpi(+-infinity) raises the invalid floating-point exception and returns NaN.

VECTOR OPERATIONS
If you need to apply the __tanpi() function to SIMD vectors or arrays, using the following functions provided by the Accelerate.framework may
be useful:

#include <Accelerate/Accelerate.h>

vFloat vtanpif(vFloat x);
void vvtanpif(float *y, float *x, const int n);
void vvtanpi(double *y, double *x, const int n);

__cospi(3), __sinpi(3), __sincospi(3), math(3)

BSD								 December 15, 2012							       BSD```

## Check Out this Related Man Page

```__TANPI(3)						   BSD Library Functions Manual 						__TANPI(3)

NAME
__tanpi -- tangent-pi function

SYNOPSIS
#include <math.h>

float
__tanpif(float x);

double
__tanpi(double x);

DESCRIPTION
The __tanpi() function returns the tangent of pi times x (measured in radians).  This can be computed more accurately than tan(M_PI * x),
because it can implicitly use as many bits of pi as are necessary to deliver a well-rounded result, instead of the 53-bits to which M_PI is
limited.  For large x it may also be more efficient, as the argument reduction involved is significantly simpler.

This function may be especially useful for working with degrees; whereas tan(M_PI * x / 180.0) cannot produce exact results for angles that
naively "should" be exact, like 90 degrees, __tanpi(x / 180.0) can be computed exactly.

SPECIAL VALUES
__tanpi(-x) is the same as - __tanpi(x) for any finite x.
__tanpi(+-0) returns +-0.
__tanpi(n) returns +0 for any positive even integer n.
__tanpi(n) returns -0 for any positive odd integer n.
__tanpi(n + 0.5) returns +infinity for any even integer n.
__tanpi(n + 0.5) returns -infinity for any odd integer n.
__tanpi(+-infinity) raises the invalid floating-point exception and returns NaN.

VECTOR OPERATIONS
If you need to apply the __tanpi() function to SIMD vectors or arrays, using the following functions provided by the Accelerate.framework may
be useful:

#include <Accelerate/Accelerate.h>

vFloat vtanpif(vFloat x);
void vvtanpif(float *y, const float *x, const int *n);
void vvtanpi(double *y, const double *x, const int *n);

__cospi(3), __sinpi(3), __sincospi(3), math(3)

BSD								 December 15, 2012							       BSD```
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