1 This is libquadmath.info, produced by makeinfo version 5.1 from
4 Copyright (C) 2010-2013 Free Software Foundation, Inc.
6 Permission is granted to copy, distribute and/or modify this
7 document under the terms of the GNU Free Documentation License,
8 Version 1.2 or any later version published by the Free Software
9 Foundation; with no Invariant Sections, with the Front-Cover Texts
10 being "A GNU Manual," and with the Back-Cover Texts as in (a)
11 below. A copy of the license is included in the section entitled
12 "GNU Free Documentation License."
14 (a) The FSF's Back-Cover Text is: "You have the freedom to copy and
15 modify this GNU manual.
16 INFO-DIR-SECTION GNU Libraries
18 * libquadmath: (libquadmath). GCC Quad-Precision Math Library
21 This manual documents the GCC Quad-Precision Math Library API.
23 Published by the Free Software Foundation 51 Franklin Street, Fifth
24 Floor Boston, MA 02110-1301 USA
26 Copyright (C) 2010-2013 Free Software Foundation, Inc.
28 Permission is granted to copy, distribute and/or modify this
29 document under the terms of the GNU Free Documentation License,
30 Version 1.2 or any later version published by the Free Software
31 Foundation; with no Invariant Sections, with the Front-Cover Texts
32 being "A GNU Manual," and with the Back-Cover Texts as in (a)
33 below. A copy of the license is included in the section entitled
34 "GNU Free Documentation License."
36 (a) The FSF's Back-Cover Text is: "You have the freedom to copy and
37 modify this GNU manual.
40 File: libquadmath.info, Node: Top, Next: Typedef and constants, Up: (dir)
45 This manual documents the usage of libquadmath, the GCC Quad-Precision
46 Math Library Application Programming Interface (API).
50 * Typedef and constants:: Defined data types and constants
51 * Math Library Routines:: The Libquadmath math runtime application
52 programming interface.
53 * I/O Library Routines:: The Libquadmath I/O runtime application
54 programming interface.
55 * GNU Free Documentation License::
56 How you can copy and share this manual.
57 * Reporting Bugs:: How to report bugs in GCC Libquadmath.
60 File: libquadmath.info, Node: Typedef and constants, Next: Math Library Routines, Prev: Top, Up: Top
62 1 Typedef and constants
63 ***********************
65 The following data type has been defined via 'typedef'.
67 '__complex128': '__float128'-based complex number
69 The following macros are defined, which give the numeric limits of
70 the '__float128' data type.
72 'FLT128_MAX': largest finite number
73 'FLT128_MIN': smallest positive number with full precision
74 'FLT128_EPSILON': difference between 1 and the next larger
76 'FLT128_DENORM_MIN': smallest positive denormalized number
77 'FLT128_MANT_DIG': number of digits in the mantissa (bit precision)
78 'FLT128_MIN_EXP': maximal negative exponent
79 'FLT128_MAX_EXP': maximal positive exponent
80 'FLT128_DIG': number of decimal digits in the mantissa
81 'FLT128_MIN_10_EXP': maximal negative decimal exponent
82 'FLT128_MAX_10_EXP': maximal positive decimal exponent
84 The following mathematical constants of type '__float128' are
87 'M_Eq': the constant e (Euler's number)
88 'M_LOG2Eq': binary logarithm of 2
89 'M_LOG10Eq': common, decimal logarithm of 2
90 'M_LN2q': natural logarithm of 2
91 'M_LN10q': natural logarithm of 10
93 'M_PI_2q': pi divided by two
94 'M_PI_4q': pi divided by four
95 'M_1_PIq': one over pi
96 'M_2_PIq': one over two pi
97 'M_2_SQRTPIq': two over square root of pi
98 'M_SQRT2q': square root of 2
99 'M_SQRT1_2q': one over square root of 2
102 File: libquadmath.info, Node: Math Library Routines, Next: I/O Library Routines, Prev: Typedef and constants, Up: Top
104 2 Math Library Routines
105 ***********************
107 The following mathematical functions are available:
109 'acosq': arc cosine function
110 'acoshq': inverse hyperbolic cosine function
111 'asinq': arc sine function
112 'asinhq': inverse hyperbolic sine function
113 'atanq': arc tangent function
114 'atanhq': inverse hyperbolic tangent function
115 'atan2q': arc tangent function
116 'cbrtq': cube root function
117 'ceilq': ceiling value function
118 'copysignq': copy sign of a number
119 'coshq': hyperbolic cosine function
120 'cosq': cosine function
121 'erfq': error function
122 'erfcq': complementary error function
123 'expq': exponential function
124 'expm1q': exponential minus 1 function
125 'fabsq': absolute value function
126 'fdimq': positive difference function
127 'finiteq': check finiteness of value
128 'floorq': floor value function
129 'fmaq': fused multiply and add
130 'fmaxq': determine maximum of two values
131 'fminq': determine minimum of two values
132 'fmodq': remainder value function
133 'frexpq': extract mantissa and exponent
134 'hypotq': Eucledian distance function
135 'ilogbq': get exponent of the value
136 'isinfq': check for infinity
137 'isnanq': check for not a number
138 'j0q': Bessel function of the first kind, first order
139 'j1q': Bessel function of the first kind, second order
140 'jnq': Bessel function of the first kind, N-th order
141 'ldexpq': load exponent of the value
142 'lgammaq': logarithmic gamma function
143 'llrintq': round to nearest integer value
144 'llroundq': round to nearest integer value away from zero
145 'logq': natural logarithm function
146 'log10q': base 10 logarithm function
147 'log1pq': compute natural logarithm of the value plus one
148 'log2q': base 2 logarithm function
149 'lrintq': round to nearest integer value
150 'lroundq': round to nearest integer value away from zero
151 'modfq': decompose the floating-point number
152 'nanq': return quiet NaN
153 'nearbyintq': round to nearest integer
154 'nextafterq': next representable floating-point number
155 'powq': power function
156 'remainderq': remainder function
157 'remquoq': remainder and part of quotient
158 'rintq': round-to-nearest integral value
159 'roundq': round-to-nearest integral value, return '__float128'
160 'scalblnq': compute exponent using 'FLT_RADIX'
161 'scalbnq': compute exponent using 'FLT_RADIX'
162 'signbitq': return sign bit
163 'sincosq': calculate sine and cosine simulataneously
164 'sinhq': hyperbolic sine function
165 'sinq': sine function
166 'sqrtq': square root function
167 'tanq': tangent function
168 'tanhq': hyperbolic tangent function
169 'tgammaq': true gamma function
170 'truncq': round to integer, towards zero
171 'y0q': Bessel function of the second kind, first order
172 'y1q': Bessel function of the second kind, second order
173 'ynq': Bessel function of the second kind, N-th order
174 'cabsq' complex absolute value function
175 'cargq': calculate the argument
176 'cimagq' imaginary part of complex number
177 'crealq': real part of complex number
178 'cacoshq': complex arc hyperbolic cosine function
179 'cacosq': complex arc cosine function
180 'casinhq': complex arc hyperbolic sine function
181 'casinq': complex arc sine function
182 'catanhq': complex arc hyperbolic tangent function
183 'catanq': complex arc tangent function
184 'ccosq' complex cosine function:
185 'ccoshq': complex hyperbolic cosine function
186 'cexpq': complex exponential function
187 'cexpiq': computes the exponential function of "i" times a
189 'clogq': complex natural logarithm
190 'clog10q': complex base 10 logarithm
191 'conjq': complex conjugate function
192 'cpowq': complex power function
193 'cprojq': project into Riemann Sphere
194 'csinq': complex sine function
195 'csinhq': complex hyperbolic sine function
196 'csqrtq': complex square root
197 'ctanq': complex tangent function
198 'ctanhq': complex hyperbolic tangent function
201 File: libquadmath.info, Node: I/O Library Routines, Next: GNU Free Documentation License, Prev: Math Library Routines, Up: Top
203 3 I/O Library Routines
204 **********************
208 * 'strtoflt128': strtoflt128, Convert from string
209 * 'quadmath_snprintf': quadmath_snprintf, Convert to string
212 File: libquadmath.info, Node: strtoflt128, Next: quadmath_snprintf, Up: I/O Library Routines
214 3.1 'strtoflt128' -- Convert from string
215 ========================================
217 The function 'strtoflt128' converts a string into a '__float128' number.
220 '__float128 strtoflt128 (const char *s, char **sp)'
224 SP the address of the next character in the string
226 The argument SP contains, if not 'NULL', the address of the next
227 character following the parts of the string, which have been read.
230 #include <quadmath.h>
236 r = strtoflt128 ("1.2345678", NULL);
242 File: libquadmath.info, Node: quadmath_snprintf, Prev: strtoflt128, Up: I/O Library Routines
244 3.2 'quadmath_snprintf' -- Convert to string
245 ============================================
247 The function 'quadmath_snprintf' converts a '__float128' floating-point
248 number into a string. It is a specialized alternative to 'snprintf',
249 where the format string is restricted to a single conversion specifier
250 with 'Q' modifier and conversion specifier 'e', 'E', 'f', 'F', 'g', 'G',
251 'a' or 'A', with no extra characters before or after the conversion
252 specifier. The '%m$' or '*m$' style must not be used in the format.
255 'int quadmath_snprintf (char *s, size_t size, const char *format,
260 SIZE byte size of the string, including tailing NUL
261 FORMAT conversion specifier string
264 On some targets when supported by the C library hooks are installed
265 for 'printf' family of functions, so that 'printf ("%Qe", 1.2Q);'
269 #include <quadmath.h>
282 int n = quadmath_snprintf (buf, sizeof buf, "%+-#*.20Qe", width, r);
283 if ((size_t) n < sizeof buf)
284 printf ("%s\n", buf);
285 /* Prints: +1.41421356237309504880e+00 */
286 quadmath_snprintf (buf, sizeof buf, "%Qa", r);
287 if ((size_t) n < sizeof buf)
288 printf ("%s\n", buf);
289 /* Prints: 0x1.6a09e667f3bcc908b2fb1366ea96p+0 */
290 n = quadmath_snprintf (NULL, 0, "%+-#46.*Qe", prec, r);
293 char *str = malloc (n + 1);
296 quadmath_snprintf (str, n + 1, "%+-#46.*Qe", prec, r);
297 printf ("%s\n", str);
298 /* Prints: +1.41421356237309504880e+00 */
306 File: libquadmath.info, Node: GNU Free Documentation License, Next: Reporting Bugs, Prev: I/O Library Routines, Up: Top
308 GNU Free Documentation License
309 ******************************
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743 in part, as part of another Document.
745 An MMC is "eligible for relicensing" if it is licensed under this
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748 incorporated in whole or in part into the MMC, (1) had no cover
749 texts or invariant sections, and (2) were thus incorporated prior
752 The operator of an MMC Site may republish an MMC contained in the
753 site under CC-BY-SA on the same site at any time before August 1,
754 2009, provided the MMC is eligible for relicensing.
756 ADDENDUM: How to use this License for your documents
757 ====================================================
759 To use this License in a document you have written, include a copy of
760 the License in the document and put the following copyright and license
761 notices just after the title page:
763 Copyright (C) YEAR YOUR NAME.
764 Permission is granted to copy, distribute and/or modify this document
765 under the terms of the GNU Free Documentation License, Version 1.3
766 or any later version published by the Free Software Foundation;
767 with no Invariant Sections, no Front-Cover Texts, and no Back-Cover
768 Texts. A copy of the license is included in the section entitled ``GNU
769 Free Documentation License''.
771 If you have Invariant Sections, Front-Cover Texts and Back-Cover
772 Texts, replace the "with...Texts." line with this:
774 with the Invariant Sections being LIST THEIR TITLES, with
775 the Front-Cover Texts being LIST, and with the Back-Cover Texts
778 If you have Invariant Sections without Cover Texts, or some other
779 combination of the three, merge those two alternatives to suit the
782 If your document contains nontrivial examples of program code, we
783 recommend releasing these examples in parallel under your choice of free
784 software license, such as the GNU General Public License, to permit
785 their use in free software.
788 File: libquadmath.info, Node: Reporting Bugs, Prev: GNU Free Documentation License, Up: Top
793 Bugs in the GCC Quad-Precision Math Library implementation should be
794 reported via <http://gcc.gnu.org/bugs.html>.
800 Node: Typedef and constants
\7f2367
801 Node: Math Library Routines
\7f3786
802 Node: I/O Library Routines
\7f7503
803 Node: strtoflt128
\7f7828
804 Node: quadmath_snprintf
\7f8588
805 Node: GNU Free Documentation License
\7f10798
806 Node: Reporting Bugs
\7f35944