MATH(3) BSD Library Functions Manual MATH(3)[top]NAMEmath— floating-point mathematical libraryLIBRARYMath Library (libm, -lm)SYNOPSIS#include <math.h>DESCRIPTIONThese functions constitute the Cmathlibrary.LIST OF FUNCTIONSEach of the following double functions has a float counterpart with an ‘f’ appended to the name and a long double counterpart with an ‘l’ appended. As an example, the float and long double counterparts of double acos(double x) are float acosf(float x) and long double acosl(long double x), respectively. The classification macros and silent order predicates are type generic and should not be suffixed with ‘f’ or ‘l’. Algebraic Functions Name Description cbrt cube root fma fused multiply-add hypot Euclidean distance sqrt square root Classification Macros Name Description fpclassify classify a floating-point value isfinite determine whether a value is finite isinf determine whether a value is infinite isnan determine whether a value is NaN isnormal determine whether a value is normalized Exponent Manipulation Functions Name Description frexp extract exponent and mantissa ilogb extract exponent ldexp multiply by power of 2 logb extract exponent scalbln adjust exponent scalbn adjust exponent Extremum- and Sign-Related Functions Name Description copysign copy sign bit fabs absolute value fdim positive difference fmax maximum function fmin minimum function signbit extract sign bit Not a Number Functions Name Description nan generate a quiet NaN Residue and Rounding Functions Name Description ceil integer no less than floor integer no greater than fmod positive remainder llrint round to integer in fixed-point format llround round to nearest integer in fixed-point format lrint round to integer in fixed-point format lround round to nearest integer in fixed-point format modf extract integer and fractional parts nearbyint round to integer (silent) nextafter next representable value nexttoward next representable value remainder remainder remquo remainder with partial quotient rint round to integer round round to nearest integer trunc integer no greater in magnitude than The ceil(), floor(), llround(), lround(), round(), and trunc() functions round in predetermined directions, whereas llrint(), lrint(), and rint() round according to the current (dynamic) rounding mode. For more infor‐ mation on controlling the dynamic rounding mode, see fenv(3) and fesetround(3). Silent Order Predicates Name Description isgreater greater than relation isgreaterequal greater than or equal to relation isless less than relation islessequal less than or equal to relation islessgreater less than or greater than relation isunordered unordered relation Transcendental Functions Name Description acos inverse cosine acosh inverse hyperbolic cosine asin inverse sine asinh inverse hyperbolic sine atan inverse tangent atanh inverse hyperbolic tangent atan2 atan(y/x); complex argument cos cosine cosh hyperbolic cosine erf error function erfc complementary error function exp exponential base e exp2 exponential base 2 expm1 exp(x)-1 j0 Bessel function of the first kind of the order 0 j1 Bessel function of the first kind of the order 1 jn Bessel function of the first kind of the order n lgamma log gamma function log natural logarithm log10 logarithm to base 10 log1p log(1+x) pow exponential x**y sin trigonometric function sinh hyperbolic function tan trigonometric function tanh hyperbolic function tgamma gamma function y0 Bessel function of the second kind of the order 0 y1 Bessel function of the second kind of the order 1 yn Bessel function of the second kind of the order n Unlike the algebraic functions listed earlier, the routines in this sec‐ tion may not produce a result that is correctly rounded, so reproducible results cannot be guaranteed across platforms. For most of these func‐ tions, however, incorrect rounding occurs rarely, and then only in very- close-to-halfway cases.SEE ALSOfenv(3), ieee(3), tgmath(3)HISTORYAmathlibrary with many of the present functions appeared in Version 7 AT&T UNIX. The library was substantially rewritten for 4.3BSD to provide better accuracy and speed on machines supporting either VAX or IEEE 754 floating-point. Most of this library was replaced with FDLIBM, developed at Sun Microsystems, in FreeBSD 1.1.5. Additional routines, including ones for float and long double values, were written for or imported into subsequent versions of FreeBSD.BUGSThe log2() function is missing, and many functions are not available in their long double variants. Many of the routines to compute transcendental functions produce inaccu‐ rate results in other than the default rounding mode. On some architectures, trigonometric argument reduction is not performed accurately, resulting in errors greater than 1 ulp for large arguments to cos(), sin(), and tan().BSDDecember 16, 2007 BSD

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