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Copyright (C) 2010-2020 Free Software Foundation, Inc.

     Permission is granted to copy, distribute and/or modify this
     document under the terms of the GNU Free Documentation License,
     Version 1.2 or any later version published by the Free Software
     Foundation; with no Invariant Sections, with the Front-Cover Texts
     being "A GNU Manual," and with the Back-Cover Texts as in (a)
     below.  A copy of the license is included in the section entitled
     "GNU Free Documentation License."

     (a) The FSF's Back-Cover Text is: "You have the freedom to copy and
     modify this GNU manual.
INFO-DIR-SECTION GNU Libraries
START-INFO-DIR-ENTRY
* libquadmath: (libquadmath).                  GCC Quad-Precision Math Library
END-INFO-DIR-ENTRY

   This manual documents the GCC Quad-Precision Math Library API.

   Published by the Free Software Foundation 51 Franklin Street, Fifth
Floor Boston, MA 02110-1301 USA

   Copyright (C) 2010-2020 Free Software Foundation, Inc.

     Permission is granted to copy, distribute and/or modify this
     document under the terms of the GNU Free Documentation License,
     Version 1.2 or any later version published by the Free Software
     Foundation; with no Invariant Sections, with the Front-Cover Texts
     being "A GNU Manual," and with the Back-Cover Texts as in (a)
     below.  A copy of the license is included in the section entitled
     "GNU Free Documentation License."

     (a) The FSF's Back-Cover Text is: "You have the freedom to copy and
     modify this GNU manual.


File: libquadmath.info,  Node: Top,  Next: Typedef and constants,  Up: (dir)

Introduction
************

This manual documents the usage of libquadmath, the GCC Quad-Precision
Math Library Application Programming Interface (API).

* Menu:

* Typedef and constants::      Defined data types and constants
* Math Library Routines::      The Libquadmath math runtime application
                               programming interface.
* I/O Library Routines::       The Libquadmath I/O runtime application
                               programming interface.
* GNU Free Documentation License::
                               How you can copy and share this manual.
* Reporting Bugs::             How to report bugs in GCC Libquadmath.


File: libquadmath.info,  Node: Typedef and constants,  Next: Math Library Routines,  Prev: Top,  Up: Top

1 Typedef and constants
***********************

The following data type has been defined via 'typedef'.

'__complex128': '__float128'-based complex number

   The following macros are defined, which give the numeric limits of
the '__float128' data type.

'FLT128_MAX': largest finite number
'FLT128_MIN': smallest positive number with full precision
'FLT128_EPSILON': difference between 1 and the next larger
     representable number
'FLT128_DENORM_MIN': smallest positive denormalized number
'FLT128_MANT_DIG': number of digits in the mantissa (bit precision)
'FLT128_MIN_EXP': maximal negative exponent
'FLT128_MAX_EXP': maximal positive exponent
'FLT128_DIG': number of decimal digits in the mantissa
'FLT128_MIN_10_EXP': maximal negative decimal exponent
'FLT128_MAX_10_EXP': maximal positive decimal exponent

   The following mathematical constants of type '__float128' are
defined.

'M_Eq': the constant e (Euler's number)
'M_LOG2Eq': binary logarithm of 2
'M_LOG10Eq': common, decimal logarithm of 2
'M_LN2q': natural logarithm of 2
'M_LN10q': natural logarithm of 10
'M_PIq': pi
'M_PI_2q': pi divided by two
'M_PI_4q': pi divided by four
'M_1_PIq': one over pi
'M_2_PIq': one over two pi
'M_2_SQRTPIq': two over square root of pi
'M_SQRT2q': square root of 2
'M_SQRT1_2q': one over square root of 2


File: libquadmath.info,  Node: Math Library Routines,  Next: I/O Library Routines,  Prev: Typedef and constants,  Up: Top

2 Math Library Routines
***********************

The following mathematical functions are available:

'acosq': arc cosine function
'acoshq': inverse hyperbolic cosine function
'asinq': arc sine function
'asinhq': inverse hyperbolic sine function
'atanq': arc tangent function
'atanhq': inverse hyperbolic tangent function
'atan2q': arc tangent function
'cbrtq': cube root function
'ceilq': ceiling value function
'copysignq': copy sign of a number
'coshq': hyperbolic cosine function
'cosq': cosine function
'erfq': error function
'erfcq': complementary error function
'exp2q': base 2 exponential function
'expq': exponential function
'expm1q': exponential minus 1 function
'fabsq': absolute value function
'fdimq': positive difference function
'finiteq': check finiteness of value
'floorq': floor value function
'fmaq': fused multiply and add
'fmaxq': determine maximum of two values
'fminq': determine minimum of two values
'fmodq': remainder value function
'frexpq': extract mantissa and exponent
'hypotq': Eucledian distance function
'ilogbq': get exponent of the value
'isinfq': check for infinity
'isnanq': check for not a number
'issignalingq': check for signaling not a number
'j0q': Bessel function of the first kind, first order
'j1q': Bessel function of the first kind, second order
'jnq': Bessel function of the first kind, N-th order
'ldexpq': load exponent of the value
'lgammaq': logarithmic gamma function
'llrintq': round to nearest integer value
'llroundq': round to nearest integer value away from zero
'logbq': get exponent of the value
'logq': natural logarithm function
'log10q': base 10 logarithm function
'log1pq': compute natural logarithm of the value plus one
'log2q': base 2 logarithm function
'lrintq': round to nearest integer value
'lroundq': round to nearest integer value away from zero
'modfq': decompose the floating-point number
'nanq': return quiet NaN
'nearbyintq': round to nearest integer
'nextafterq': next representable floating-point number
'powq': power function
'remainderq': remainder function
'remquoq': remainder and part of quotient
'rintq': round-to-nearest integral value
'roundq': round-to-nearest integral value, return '__float128'
'scalblnq': compute exponent using 'FLT_RADIX'
'scalbnq': compute exponent using 'FLT_RADIX'
'signbitq': return sign bit
'sincosq': calculate sine and cosine simultaneously
'sinhq': hyperbolic sine function
'sinq': sine function
'sqrtq': square root function
'tanq': tangent function
'tanhq': hyperbolic tangent function
'tgammaq': true gamma function
'truncq': round to integer, towards zero
'y0q': Bessel function of the second kind, first order
'y1q': Bessel function of the second kind, second order
'ynq': Bessel function of the second kind, N-th order
'cabsq' complex absolute value function
'cargq': calculate the argument
'cimagq' imaginary part of complex number
'crealq': real part of complex number
'cacoshq': complex arc hyperbolic cosine function
'cacosq': complex arc cosine function
'casinhq': complex arc hyperbolic sine function
'casinq': complex arc sine function
'catanhq': complex arc hyperbolic tangent function
'catanq': complex arc tangent function
'ccosq' complex cosine function:
'ccoshq': complex hyperbolic cosine function
'cexpq': complex exponential function
'cexpiq': computes the exponential function of "i" times a
     real value
'clogq': complex natural logarithm
'clog10q': complex base 10 logarithm
'conjq': complex conjugate function
'cpowq': complex power function
'cprojq': project into Riemann Sphere
'csinq': complex sine function
'csinhq': complex hyperbolic sine function
'csqrtq': complex square root
'ctanq': complex tangent function
'ctanhq': complex hyperbolic tangent function


File: libquadmath.info,  Node: I/O Library Routines,  Next: GNU Free Documentation License,  Prev: Math Library Routines,  Up: Top

3 I/O Library Routines
**********************

* Menu:

* 'strtoflt128':          strtoflt128,          Convert from string
* 'quadmath_snprintf':    quadmath_snprintf,    Convert to string


File: libquadmath.info,  Node: strtoflt128,  Next: quadmath_snprintf,  Up: I/O Library Routines

3.1 'strtoflt128' -- Convert from string
========================================

The function 'strtoflt128' converts a string into a '__float128' number.

Syntax
     '__float128 strtoflt128 (const char *s, char **sp)'

_Arguments_:
     S           input string
     SP          the address of the next character in the string

     The argument SP contains, if not 'NULL', the address of the next
     character following the parts of the string, which have been read.

Example
          #include <quadmath.h>

          int main ()
          {
            __float128 r;

            r = strtoflt128 ("1.2345678", NULL);

            return 0;
          }


File: libquadmath.info,  Node: quadmath_snprintf,  Prev: strtoflt128,  Up: I/O Library Routines

3.2 'quadmath_snprintf' -- Convert to string
============================================

The function 'quadmath_snprintf' converts a '__float128' floating-point
number into a string.  It is a specialized alternative to 'snprintf',
where the format string is restricted to a single conversion specifier
with 'Q' modifier and conversion specifier 'e', 'E', 'f', 'F', 'g', 'G',
'a' or 'A', with no extra characters before or after the conversion
specifier.  The '%m$' or '*m$' style must not be used in the format.

Syntax
     'int quadmath_snprintf (char *s, size_t size, const char *format,
     ...)'

_Arguments_:
     S           output string
     SIZE        byte size of the string, including tailing NUL
     FORMAT      conversion specifier string

Note
     On some targets when supported by the C library hooks are installed
     for 'printf' family of functions, so that 'printf ("%Qe", 1.2Q);'
     etc. works too.

Example
          #include <quadmath.h>
          #include <stdlib.h>
          #include <stdio.h>

          int main ()
          {
            __float128 r;
            int prec = 20;
            int width = 46;
            char buf[128];

            r = 2.0q;
            r = sqrtq (r);
            int n = quadmath_snprintf (buf, sizeof buf, "%+-#*.20Qe", width, r);
            if ((size_t) n < sizeof buf)
              printf ("%s\n", buf);
              /* Prints: +1.41421356237309504880e+00 */
            quadmath_snprintf (buf, sizeof buf, "%Qa", r);
            if ((size_t) n < sizeof buf)
              printf ("%s\n", buf);
              /* Prints: 0x1.6a09e667f3bcc908b2fb1366ea96p+0 */
            n = quadmath_snprintf (NULL, 0, "%+-#46.*Qe", prec, r);
            if (n > -1)
              {
                char *str = malloc (n + 1);
                if (str)
                  {
                    quadmath_snprintf (str, n + 1, "%+-#46.*Qe", prec, r);
                    printf ("%s\n", str);
                    /* Prints: +1.41421356237309504880e+00 */
                  }
                free (str);
              }
            return 0;
          }


File: libquadmath.info,  Node: GNU Free Documentation License,  Next: Reporting Bugs,  Prev: I/O Library Routines,  Up: Top

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ADDENDUM: How to use this License for your documents
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File: libquadmath.info,  Node: Reporting Bugs,  Prev: GNU Free Documentation License,  Up: Top

4 Reporting Bugs
****************

Bugs in the GCC Quad-Precision Math Library implementation should be
reported via <https://gcc.gnu.org/bugs/>.



Tag Table:
Node: Top1633
Node: Typedef and constants2367
Node: Math Library Routines3786
Node: I/O Library Routines7623
Node: strtoflt1287948
Node: quadmath_snprintf8708
Node: GNU Free Documentation License10918
Node: Reporting Bugs36065

End Tag Table