tan, tanf, tanl

From cppreference.com
< c ‎ | numeric ‎ | math
Common mathematical functions
Types
Functions
Basic operations
(C99)
(C99)
(C99)
(C99) (C99) (C99) (C23)
Maximum/minimum operations
Exponential functions
Power functions
Trigonometric and hyperbolic functions
Error and gamma functions
(C99)
(C99)
(C99)
(C99)
Nearest integer floating-point operations
(C99) (C99) (C99)
(C23) (C23) (C23) (C23)
Floating-point manipulation functions
Narrowing operations
(C23)
(C23)
(C23)
(C23)
(C23)
(C23)
Quantum and quantum exponent functions
Decimal re-encoding functions
Total order and payload functions
Classification
Macro constants
Special floating-point values
Arguments and return values
Error handling
Defined in header <math.h>
float tanf ( float arg ) ;
(1) (since C99)
double tan ( double arg ) ;
(2)
long double tanl ( long double arg ) ;
(3) (since C99)
_Decimal32  tand32 ( _Decimal32 arg ) ;
(4) (since C23)
_Decimal64  tand64 ( _Decimal64 arg ) ;
(5) (since C23)
_Decimal128 tand128 ( _Decimal128 arg ) ;
(6) (since C23)
Defined in header <tgmath.h>
#define tan( arg )
(7) (since C99)
1-6) Computes the tangent of arg (measured in radians).
7) Type-generic macro: If the argument has type long double , (3) ( tanl ) is called. Otherwise, if the argument has integer type or the type double , (2) ( tan ) is called. Otherwise, (1) ( tanf ) is called. If the argument is complex, then the macro invokes the corresponding complex function ( ctanf , ctan , ctanl ).

The functions (4-6) are declared if and only if the implementation predefines __STDC_IEC_60559_DFP__ (i.e. the implementation supports decimal floating-point numbers).

(since C23)

Parameters

arg - floating-point value representing angle in radians

Return value

If no errors occur, the tangent of arg ( tan(arg) ) is returned.

The result may have little or no significance if the magnitude of arg is large.

(until C99)

If a domain error occurs, an implementation-defined value is returned (NaN where supported).

If a range error occurs due to underflow, the correct result (after rounding) is returned.

Error handling

Errors are reported as specified in math_errhandling .

If the implementation supports IEEE floating-point arithmetic (IEC 60559):

  • if the argument is ±0, it is returned unmodified;
  • if the argument is ±∞, NaN is returned and FE_INVALID is raised;
  • if the argument is NaN, NaN is returned.

Notes

The case where the argument is infinite is not specified to be a domain error in C, but it is defined as a domain error in POSIX .

The function has mathematical poles at π(1/2 + n) ; however no common floating-point representation is able to represent π/2 exactly, thus there is no value of the argument for which a pole error occurs.

Example

#include <errno.h>
#include <fenv.h>
#include <math.h>
#include <stdio.h>
 
#ifndef __GNUC__
#pragma STDC FENV_ACCESS ON
#endif
 
int main(void)
{
    const double pi = acos(-1);
 
    // typical usage
    printf("tan(pi*1/4) = %+f\n", tan(pi * 1 / 4)); //   45 deg
    printf("tan(pi*3/4) = %+f\n", tan(pi * 3 / 4)); //  135 deg
    printf("tan(pi*5/4) = %+f\n", tan(pi * 5 / 4)); // -135 deg
    printf("tan(pi*7/4) = %+f\n", tan(pi * 7 / 4)); //  -45 deg
 
    // special values
    printf("tan(+0) = %f\n", tan(0.0));
    printf("tan(-0) = %f\n", tan(-0.0));
 
    // error handling
    feclearexcept(FE_ALL_EXCEPT);
    printf("tan(INFINITY) = %f\n", tan(INFINITY));
    if (fetestexcept(FE_INVALID))
        puts("    FE_INVALID raised");
}

Possible output:

tan(pi*1/4) = +1.000000
tan(pi*3/4) = -1.000000
tan(pi*5/4) = +1.000000
tan(pi*7/4) = -1.000000
tan(+0) = 0.000000
tan(-0) = -0.000000
tan(INFINITY) = -nan
    FE_INVALID raised

References

  • C23 standard (ISO/IEC 9899:2024):
  • 7.12.4.7 The tan functions (p: TBD)
  • 7.25 Type-generic math <tgmath.h> (p: TBD)
  • F.10.1.7 The tan functions (p: TBD)
  • C17 standard (ISO/IEC 9899:2018):
  • 7.12.4.7 The tan functions (p: 175)
  • 7.25 Type-generic math <tgmath.h> (p: 272-273)
  • F.10.1.7 The tan functions (p: 378)
  • C11 standard (ISO/IEC 9899:2011):
  • 7.12.4.7 The tan functions (p: 240)
  • 7.25 Type-generic math <tgmath.h> (p: 373-375)
  • F.10.1.7 The tan functions (p: 519)
  • C99 standard (ISO/IEC 9899:1999):
  • 7.12.4.7 The tan functions (p: 220)
  • 7.22 Type-generic math <tgmath.h> (p: 335-337)
  • F.9.1.7 The tan functions (p: 457)
  • C89/C90 standard (ISO/IEC 9899:1990):
  • 4.5.2.7 The tan function

See also

(C99) (C99)
computes sine ( sin(x) )
(function)
(C99) (C99)
computes cosine ( cos(x) )
(function)
(C99) (C99)
computes arc tangent ( arctan(x) )
(function)
(C99) (C99) (C99)
computes the complex tangent
(function)