1This is libquadmath.info, produced by makeinfo version 6.5 from 2libquadmath.texi. 3 4Copyright (C) 2010-2020 Free Software Foundation, Inc. 5 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." 13 14 (a) The FSF's Back-Cover Text is: "You have the freedom to copy and 15 modify this GNU manual. 16INFO-DIR-SECTION GNU Libraries 17START-INFO-DIR-ENTRY 18* libquadmath: (libquadmath). GCC Quad-Precision Math Library 19END-INFO-DIR-ENTRY 20 21 This manual documents the GCC Quad-Precision Math Library API. 22 23 Published by the Free Software Foundation 51 Franklin Street, Fifth 24Floor Boston, MA 02110-1301 USA 25 26 Copyright (C) 2010-2020 Free Software Foundation, Inc. 27 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." 35 36 (a) The FSF's Back-Cover Text is: "You have the freedom to copy and 37 modify this GNU manual. 38 39 40File: libquadmath.info, Node: Top, Next: Typedef and constants, Up: (dir) 41 42Introduction 43************ 44 45This manual documents the usage of libquadmath, the GCC Quad-Precision 46Math Library Application Programming Interface (API). 47 48* Menu: 49 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. 58 59 60File: libquadmath.info, Node: Typedef and constants, Next: Math Library Routines, Prev: Top, Up: Top 61 621 Typedef and constants 63*********************** 64 65The following data type has been defined via 'typedef'. 66 67'__complex128': '__float128'-based complex number 68 69 The following macros are defined, which give the numeric limits of 70the '__float128' data type. 71 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 75 representable number 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 83 84 The following mathematical constants of type '__float128' are 85defined. 86 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 92'M_PIq': pi 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 2 100 101 102File: libquadmath.info, Node: Math Library Routines, Next: I/O Library Routines, Prev: Typedef and constants, Up: Top 103 1042 Math Library Routines 105*********************** 106 107The following mathematical functions are available: 108 109'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'exp2q': base 2 exponential function 124'expq': exponential function 125'expm1q': exponential minus 1 function 126'fabsq': absolute value function 127'fdimq': positive difference function 128'finiteq': check finiteness of value 129'floorq': floor value function 130'fmaq': fused multiply and add 131'fmaxq': determine maximum of two values 132'fminq': determine minimum of two values 133'fmodq': remainder value function 134'frexpq': extract mantissa and exponent 135'hypotq': Eucledian distance function 136'ilogbq': get exponent of the value 137'isinfq': check for infinity 138'isnanq': check for not a number 139'issignalingq': check for signaling not a number 140'j0q': Bessel function of the first kind, first order 141'j1q': Bessel function of the first kind, second order 142'jnq': Bessel function of the first kind, N-th order 143'ldexpq': load exponent of the value 144'lgammaq': logarithmic gamma function 145'llrintq': round to nearest integer value 146'llroundq': round to nearest integer value away from zero 147'logbq': get exponent of the value 148'logq': natural logarithm function 149'log10q': base 10 logarithm function 150'log1pq': compute natural logarithm of the value plus one 151'log2q': base 2 logarithm function 152'lrintq': round to nearest integer value 153'lroundq': round to nearest integer value away from zero 154'modfq': decompose the floating-point number 155'nanq': return quiet NaN 156'nearbyintq': round to nearest integer 157'nextafterq': next representable floating-point number 158'powq': power function 159'remainderq': remainder function 160'remquoq': remainder and part of quotient 161'rintq': round-to-nearest integral value 162'roundq': round-to-nearest integral value, return '__float128' 163'scalblnq': compute exponent using 'FLT_RADIX' 164'scalbnq': compute exponent using 'FLT_RADIX' 165'signbitq': return sign bit 166'sincosq': calculate sine and cosine simultaneously 167'sinhq': hyperbolic sine function 168'sinq': sine function 169'sqrtq': square root function 170'tanq': tangent function 171'tanhq': hyperbolic tangent function 172'tgammaq': true gamma function 173'truncq': round to integer, towards zero 174'y0q': Bessel function of the second kind, first order 175'y1q': Bessel function of the second kind, second order 176'ynq': Bessel function of the second kind, N-th order 177'cabsq' complex absolute value function 178'cargq': calculate the argument 179'cimagq' imaginary part of complex number 180'crealq': real part of complex number 181'cacoshq': complex arc hyperbolic cosine function 182'cacosq': complex arc cosine function 183'casinhq': complex arc hyperbolic sine function 184'casinq': complex arc sine function 185'catanhq': complex arc hyperbolic tangent function 186'catanq': complex arc tangent function 187'ccosq' complex cosine function: 188'ccoshq': complex hyperbolic cosine function 189'cexpq': complex exponential function 190'cexpiq': computes the exponential function of "i" times a 191 real value 192'clogq': complex natural logarithm 193'clog10q': complex base 10 logarithm 194'conjq': complex conjugate function 195'cpowq': complex power function 196'cprojq': project into Riemann Sphere 197'csinq': complex sine function 198'csinhq': complex hyperbolic sine function 199'csqrtq': complex square root 200'ctanq': complex tangent function 201'ctanhq': complex hyperbolic tangent function 202 203 204File: libquadmath.info, Node: I/O Library Routines, Next: GNU Free Documentation License, Prev: Math Library Routines, Up: Top 205 2063 I/O Library Routines 207********************** 208 209* Menu: 210 211* 'strtoflt128': strtoflt128, Convert from string 212* 'quadmath_snprintf': quadmath_snprintf, Convert to string 213 214 215File: libquadmath.info, Node: strtoflt128, Next: quadmath_snprintf, Up: I/O Library Routines 216 2173.1 'strtoflt128' -- Convert from string 218======================================== 219 220The function 'strtoflt128' converts a string into a '__float128' number. 221 222Syntax 223 '__float128 strtoflt128 (const char *s, char **sp)' 224 225_Arguments_: 226 S input string 227 SP the address of the next character in the string 228 229 The argument SP contains, if not 'NULL', the address of the next 230 character following the parts of the string, which have been read. 231 232Example 233 #include <quadmath.h> 234 235 int main () 236 { 237 __float128 r; 238 239 r = strtoflt128 ("1.2345678", NULL); 240 241 return 0; 242 } 243 244 245File: libquadmath.info, Node: quadmath_snprintf, Prev: strtoflt128, Up: I/O Library Routines 246 2473.2 'quadmath_snprintf' -- Convert to string 248============================================ 249 250The function 'quadmath_snprintf' converts a '__float128' floating-point 251number into a string. It is a specialized alternative to 'snprintf', 252where the format string is restricted to a single conversion specifier 253with 'Q' modifier and conversion specifier 'e', 'E', 'f', 'F', 'g', 'G', 254'a' or 'A', with no extra characters before or after the conversion 255specifier. The '%m$' or '*m$' style must not be used in the format. 256 257Syntax 258 'int quadmath_snprintf (char *s, size_t size, const char *format, 259 ...)' 260 261_Arguments_: 262 S output string 263 SIZE byte size of the string, including tailing NUL 264 FORMAT conversion specifier string 265 266Note 267 On some targets when supported by the C library hooks are installed 268 for 'printf' family of functions, so that 'printf ("%Qe", 1.2Q);' 269 etc. works too. 270 271Example 272 #include <quadmath.h> 273 #include <stdlib.h> 274 #include <stdio.h> 275 276 int main () 277 { 278 __float128 r; 279 int prec = 20; 280 int width = 46; 281 char buf[128]; 282 283 r = 2.0q; 284 r = sqrtq (r); 285 int n = quadmath_snprintf (buf, sizeof buf, "%+-#*.20Qe", width, r); 286 if ((size_t) n < sizeof buf) 287 printf ("%s\n", buf); 288 /* Prints: +1.41421356237309504880e+00 */ 289 quadmath_snprintf (buf, sizeof buf, "%Qa", r); 290 if ((size_t) n < sizeof buf) 291 printf ("%s\n", buf); 292 /* Prints: 0x1.6a09e667f3bcc908b2fb1366ea96p+0 */ 293 n = quadmath_snprintf (NULL, 0, "%+-#46.*Qe", prec, r); 294 if (n > -1) 295 { 296 char *str = malloc (n + 1); 297 if (str) 298 { 299 quadmath_snprintf (str, n + 1, "%+-#46.*Qe", prec, r); 300 printf ("%s\n", str); 301 /* Prints: +1.41421356237309504880e+00 */ 302 } 303 free (str); 304 } 305 return 0; 306 } 307 308 309File: libquadmath.info, Node: GNU Free Documentation License, Next: Reporting Bugs, Prev: I/O Library Routines, Up: Top 310 311GNU Free Documentation License 312****************************** 313 314 Version 1.3, 3 November 2008 315 316 Copyright (C) 2000, 2001, 2002, 2007, 2008 Free Software Foundation, Inc. 317 <http://fsf.org/> 318 319 Everyone is permitted to copy and distribute verbatim copies 320 of this license document, but changing it is not allowed. 321 322 0. 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A copy of the license is included in the section entitled ``GNU 772 Free Documentation License''. 773 774 If you have Invariant Sections, Front-Cover Texts and Back-Cover 775Texts, replace the "with...Texts." line with this: 776 777 with the Invariant Sections being LIST THEIR TITLES, with 778 the Front-Cover Texts being LIST, and with the Back-Cover Texts 779 being LIST. 780 781 If you have Invariant Sections without Cover Texts, or some other 782combination of the three, merge those two alternatives to suit the 783situation. 784 785 If your document contains nontrivial examples of program code, we 786recommend releasing these examples in parallel under your choice of free 787software license, such as the GNU General Public License, to permit 788their use in free software. 789 790 791File: libquadmath.info, Node: Reporting Bugs, Prev: GNU Free Documentation License, Up: Top 792 7934 Reporting Bugs 794**************** 795 796Bugs in the GCC Quad-Precision Math Library implementation should be 797reported via <https://gcc.gnu.org/bugs/>. 798 799 800 801Tag Table: 802Node: Top1633 803Node: Typedef and constants2367 804Node: Math Library Routines3786 805Node: I/O Library Routines7623 806Node: strtoflt1287948 807Node: quadmath_snprintf8708 808Node: GNU Free Documentation License10918 809Node: Reporting Bugs36065 810 811End Tag Table 812