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Name

fma, fmaf, fmal - floating-point multiply and add

Library

Math library ( libm ", " -lm )

Synopsis

#include <math.h> 
double fma(double " x ", double " y ", double  z );
float fmaf(float " x ", float " y ", float z );
long double fmal(long double " x ", long double " y ", long double z );

Feature Test Macro Requirements for glibc (see feature_test_macros(7)):

fma() fmaf() fmal()

    _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L

Description

These functions compute x " * " y " + " z. The result is rounded as one ternary operation according to the current rounding mode (see fenv(3)).

Return Value

These functions return the value of x " * " y " + " z, rounded as one ternary operation.

If x or y is a NaN, a NaN is returned.

If x times y is an exact infinity, and z is an infinity with the opposite sign, a domain error occurs, and a NaN is returned.

If one of x or y is an infinity, the other is 0, and z is not a NaN, a domain error occurs, and a NaN is returned.

If one of x or y is an infinity, and the other is 0, and z is a NaN, a domain error occurs, and a NaN is returned.

If x times y is not an infinity times zero (or vice versa), and z is a NaN, a NaN is returned.

If the result overflows, a range error occurs, and an infinity with the correct sign is returned.

If the result underflows, a range error occurs, and a signed 0 is returned.

Errors

See math_error(7) for information on how to determine whether an error has occurred when calling these functions.

The following errors can occur:

Domain error: x * y + z, \ or x * y is invalid and z is not a NaN An invalid floating-point exception ( FE_INVALID ) is raised.

Range error: result overflow An overflow floating-point exception ( FE_OVERFLOW ) is raised.

Range error: result underflow An underflow floating-point exception ( FE_UNDERFLOW ) is raised.

These functions do not set errno.

Attributes

For an explanation of the terms used in this section, see attributes(7). allbox; lbx lb lb T{ fma()fmaf()fmal()
InterfaceAttributeValue
T}Thread safetyMT-Safe

Standards

C11, POSIX.1-2008.

History

glibc 2.1. C99, POSIX.1-2001.

See Also

  1. remainder(3),
  2. remquo(3)