1@c Copyright (C) 2003, 2004, 2005, 2006, 2007, 2010 2@c Free Software Foundation, Inc. 3@c This is part of the GCC manual. 4@c For copying conditions, see the file gcc.texi. 5@c Contributed by Aldy Hernandez <aldy@quesejoda.com> 6 7@node Libgcc 8@chapter The GCC low-level runtime library 9 10GCC provides a low-level runtime library, @file{libgcc.a} or 11@file{libgcc_s.so.1} on some platforms. GCC generates calls to 12routines in this library automatically, whenever it needs to perform 13some operation that is too complicated to emit inline code for. 14 15Most of the routines in @code{libgcc} handle arithmetic operations 16that the target processor cannot perform directly. This includes 17integer multiply and divide on some machines, and all floating-point 18and fixed-point operations on other machines. @code{libgcc} also includes 19routines for exception handling, and a handful of miscellaneous operations. 20 21Some of these routines can be defined in mostly machine-independent C@. 22Others must be hand-written in assembly language for each processor 23that needs them. 24 25GCC will also generate calls to C library routines, such as 26@code{memcpy} and @code{memset}, in some cases. The set of routines 27that GCC may possibly use is documented in @ref{Other 28Builtins,,,gcc, Using the GNU Compiler Collection (GCC)}. 29 30These routines take arguments and return values of a specific machine 31mode, not a specific C type. @xref{Machine Modes}, for an explanation 32of this concept. For illustrative purposes, in this chapter the 33floating point type @code{float} is assumed to correspond to @code{SFmode}; 34@code{double} to @code{DFmode}; and @code{@w{long double}} to both 35@code{TFmode} and @code{XFmode}. Similarly, the integer types @code{int} 36and @code{@w{unsigned int}} correspond to @code{SImode}; @code{long} and 37@code{@w{unsigned long}} to @code{DImode}; and @code{@w{long long}} and 38@code{@w{unsigned long long}} to @code{TImode}. 39 40@menu 41* Integer library routines:: 42* Soft float library routines:: 43* Decimal float library routines:: 44* Fixed-point fractional library routines:: 45* Exception handling routines:: 46* Miscellaneous routines:: 47@end menu 48 49@node Integer library routines 50@section Routines for integer arithmetic 51 52The integer arithmetic routines are used on platforms that don't provide 53hardware support for arithmetic operations on some modes. 54 55@subsection Arithmetic functions 56 57@deftypefn {Runtime Function} int __ashlsi3 (int @var{a}, int @var{b}) 58@deftypefnx {Runtime Function} long __ashldi3 (long @var{a}, int @var{b}) 59@deftypefnx {Runtime Function} {long long} __ashlti3 (long long @var{a}, int @var{b}) 60These functions return the result of shifting @var{a} left by @var{b} bits. 61@end deftypefn 62 63@deftypefn {Runtime Function} int __ashrsi3 (int @var{a}, int @var{b}) 64@deftypefnx {Runtime Function} long __ashrdi3 (long @var{a}, int @var{b}) 65@deftypefnx {Runtime Function} {long long} __ashrti3 (long long @var{a}, int @var{b}) 66These functions return the result of arithmetically shifting @var{a} right 67by @var{b} bits. 68@end deftypefn 69 70@deftypefn {Runtime Function} int __divsi3 (int @var{a}, int @var{b}) 71@deftypefnx {Runtime Function} long __divdi3 (long @var{a}, long @var{b}) 72@deftypefnx {Runtime Function} {long long} __divti3 (long long @var{a}, long long @var{b}) 73These functions return the quotient of the signed division of @var{a} and 74@var{b}. 75@end deftypefn 76 77@deftypefn {Runtime Function} int __lshrsi3 (int @var{a}, int @var{b}) 78@deftypefnx {Runtime Function} long __lshrdi3 (long @var{a}, int @var{b}) 79@deftypefnx {Runtime Function} {long long} __lshrti3 (long long @var{a}, int @var{b}) 80These functions return the result of logically shifting @var{a} right by 81@var{b} bits. 82@end deftypefn 83 84@deftypefn {Runtime Function} int __modsi3 (int @var{a}, int @var{b}) 85@deftypefnx {Runtime Function} long __moddi3 (long @var{a}, long @var{b}) 86@deftypefnx {Runtime Function} {long long} __modti3 (long long @var{a}, long long @var{b}) 87These functions return the remainder of the signed division of @var{a} 88and @var{b}. 89@end deftypefn 90 91@deftypefn {Runtime Function} int __mulsi3 (int @var{a}, int @var{b}) 92@deftypefnx {Runtime Function} long __muldi3 (long @var{a}, long @var{b}) 93@deftypefnx {Runtime Function} {long long} __multi3 (long long @var{a}, long long @var{b}) 94These functions return the product of @var{a} and @var{b}. 95@end deftypefn 96 97@deftypefn {Runtime Function} long __negdi2 (long @var{a}) 98@deftypefnx {Runtime Function} {long long} __negti2 (long long @var{a}) 99These functions return the negation of @var{a}. 100@end deftypefn 101 102@deftypefn {Runtime Function} {unsigned int} __udivsi3 (unsigned int @var{a}, unsigned int @var{b}) 103@deftypefnx {Runtime Function} {unsigned long} __udivdi3 (unsigned long @var{a}, unsigned long @var{b}) 104@deftypefnx {Runtime Function} {unsigned long long} __udivti3 (unsigned long long @var{a}, unsigned long long @var{b}) 105These functions return the quotient of the unsigned division of @var{a} 106and @var{b}. 107@end deftypefn 108 109@deftypefn {Runtime Function} {unsigned long} __udivmoddi4 (unsigned long @var{a}, unsigned long @var{b}, unsigned long *@var{c}) 110@deftypefnx {Runtime Function} {unsigned long long} __udivmodti4 (unsigned long long @var{a}, unsigned long long @var{b}, unsigned long long *@var{c}) 111These functions calculate both the quotient and remainder of the unsigned 112division of @var{a} and @var{b}. The return value is the quotient, and 113the remainder is placed in variable pointed to by @var{c}. 114@end deftypefn 115 116@deftypefn {Runtime Function} {unsigned int} __umodsi3 (unsigned int @var{a}, unsigned int @var{b}) 117@deftypefnx {Runtime Function} {unsigned long} __umoddi3 (unsigned long @var{a}, unsigned long @var{b}) 118@deftypefnx {Runtime Function} {unsigned long long} __umodti3 (unsigned long long @var{a}, unsigned long long @var{b}) 119These functions return the remainder of the unsigned division of @var{a} 120and @var{b}. 121@end deftypefn 122 123@subsection Comparison functions 124 125The following functions implement integral comparisons. These functions 126implement a low-level compare, upon which the higher level comparison 127operators (such as less than and greater than or equal to) can be 128constructed. The returned values lie in the range zero to two, to allow 129the high-level operators to be implemented by testing the returned 130result using either signed or unsigned comparison. 131 132@deftypefn {Runtime Function} int __cmpdi2 (long @var{a}, long @var{b}) 133@deftypefnx {Runtime Function} int __cmpti2 (long long @var{a}, long long @var{b}) 134These functions perform a signed comparison of @var{a} and @var{b}. If 135@var{a} is less than @var{b}, they return 0; if @var{a} is greater than 136@var{b}, they return 2; and if @var{a} and @var{b} are equal they return 1. 137@end deftypefn 138 139@deftypefn {Runtime Function} int __ucmpdi2 (unsigned long @var{a}, unsigned long @var{b}) 140@deftypefnx {Runtime Function} int __ucmpti2 (unsigned long long @var{a}, unsigned long long @var{b}) 141These functions perform an unsigned comparison of @var{a} and @var{b}. 142If @var{a} is less than @var{b}, they return 0; if @var{a} is greater than 143@var{b}, they return 2; and if @var{a} and @var{b} are equal they return 1. 144@end deftypefn 145 146@subsection Trapping arithmetic functions 147 148The following functions implement trapping arithmetic. These functions 149call the libc function @code{abort} upon signed arithmetic overflow. 150 151@deftypefn {Runtime Function} int __absvsi2 (int @var{a}) 152@deftypefnx {Runtime Function} long __absvdi2 (long @var{a}) 153These functions return the absolute value of @var{a}. 154@end deftypefn 155 156@deftypefn {Runtime Function} int __addvsi3 (int @var{a}, int @var{b}) 157@deftypefnx {Runtime Function} long __addvdi3 (long @var{a}, long @var{b}) 158These functions return the sum of @var{a} and @var{b}; that is 159@code{@var{a} + @var{b}}. 160@end deftypefn 161 162@deftypefn {Runtime Function} int __mulvsi3 (int @var{a}, int @var{b}) 163@deftypefnx {Runtime Function} long __mulvdi3 (long @var{a}, long @var{b}) 164The functions return the product of @var{a} and @var{b}; that is 165@code{@var{a} * @var{b}}. 166@end deftypefn 167 168@deftypefn {Runtime Function} int __negvsi2 (int @var{a}) 169@deftypefnx {Runtime Function} long __negvdi2 (long @var{a}) 170These functions return the negation of @var{a}; that is @code{-@var{a}}. 171@end deftypefn 172 173@deftypefn {Runtime Function} int __subvsi3 (int @var{a}, int @var{b}) 174@deftypefnx {Runtime Function} long __subvdi3 (long @var{a}, long @var{b}) 175These functions return the difference between @var{b} and @var{a}; 176that is @code{@var{a} - @var{b}}. 177@end deftypefn 178 179@subsection Bit operations 180 181@deftypefn {Runtime Function} int __clzsi2 (int @var{a}) 182@deftypefnx {Runtime Function} int __clzdi2 (long @var{a}) 183@deftypefnx {Runtime Function} int __clzti2 (long long @var{a}) 184These functions return the number of leading 0-bits in @var{a}, starting 185at the most significant bit position. If @var{a} is zero, the result is 186undefined. 187@end deftypefn 188 189@deftypefn {Runtime Function} int __ctzsi2 (int @var{a}) 190@deftypefnx {Runtime Function} int __ctzdi2 (long @var{a}) 191@deftypefnx {Runtime Function} int __ctzti2 (long long @var{a}) 192These functions return the number of trailing 0-bits in @var{a}, starting 193at the least significant bit position. If @var{a} is zero, the result is 194undefined. 195@end deftypefn 196 197@deftypefn {Runtime Function} int __ffsdi2 (long @var{a}) 198@deftypefnx {Runtime Function} int __ffsti2 (long long @var{a}) 199These functions return the index of the least significant 1-bit in @var{a}, 200or the value zero if @var{a} is zero. The least significant bit is index 201one. 202@end deftypefn 203 204@deftypefn {Runtime Function} int __paritysi2 (int @var{a}) 205@deftypefnx {Runtime Function} int __paritydi2 (long @var{a}) 206@deftypefnx {Runtime Function} int __parityti2 (long long @var{a}) 207These functions return the value zero if the number of bits set in 208@var{a} is even, and the value one otherwise. 209@end deftypefn 210 211@deftypefn {Runtime Function} int __popcountsi2 (int @var{a}) 212@deftypefnx {Runtime Function} int __popcountdi2 (long @var{a}) 213@deftypefnx {Runtime Function} int __popcountti2 (long long @var{a}) 214These functions return the number of bits set in @var{a}. 215@end deftypefn 216 217@deftypefn {Runtime Function} int32_t __bswapsi2 (int32_t @var{a}) 218@deftypefnx {Runtime Function} int64_t __bswapdi2 (int64_t @var{a}) 219These functions return the @var{a} byteswapped. 220@end deftypefn 221 222@node Soft float library routines 223@section Routines for floating point emulation 224@cindex soft float library 225@cindex arithmetic library 226@cindex math library 227@opindex msoft-float 228 229The software floating point library is used on machines which do not 230have hardware support for floating point. It is also used whenever 231@option{-msoft-float} is used to disable generation of floating point 232instructions. (Not all targets support this switch.) 233 234For compatibility with other compilers, the floating point emulation 235routines can be renamed with the @code{DECLARE_LIBRARY_RENAMES} macro 236(@pxref{Library Calls}). In this section, the default names are used. 237 238Presently the library does not support @code{XFmode}, which is used 239for @code{long double} on some architectures. 240 241@subsection Arithmetic functions 242 243@deftypefn {Runtime Function} float __addsf3 (float @var{a}, float @var{b}) 244@deftypefnx {Runtime Function} double __adddf3 (double @var{a}, double @var{b}) 245@deftypefnx {Runtime Function} {long double} __addtf3 (long double @var{a}, long double @var{b}) 246@deftypefnx {Runtime Function} {long double} __addxf3 (long double @var{a}, long double @var{b}) 247These functions return the sum of @var{a} and @var{b}. 248@end deftypefn 249 250@deftypefn {Runtime Function} float __subsf3 (float @var{a}, float @var{b}) 251@deftypefnx {Runtime Function} double __subdf3 (double @var{a}, double @var{b}) 252@deftypefnx {Runtime Function} {long double} __subtf3 (long double @var{a}, long double @var{b}) 253@deftypefnx {Runtime Function} {long double} __subxf3 (long double @var{a}, long double @var{b}) 254These functions return the difference between @var{b} and @var{a}; 255that is, @w{@math{@var{a} - @var{b}}}. 256@end deftypefn 257 258@deftypefn {Runtime Function} float __mulsf3 (float @var{a}, float @var{b}) 259@deftypefnx {Runtime Function} double __muldf3 (double @var{a}, double @var{b}) 260@deftypefnx {Runtime Function} {long double} __multf3 (long double @var{a}, long double @var{b}) 261@deftypefnx {Runtime Function} {long double} __mulxf3 (long double @var{a}, long double @var{b}) 262These functions return the product of @var{a} and @var{b}. 263@end deftypefn 264 265@deftypefn {Runtime Function} float __divsf3 (float @var{a}, float @var{b}) 266@deftypefnx {Runtime Function} double __divdf3 (double @var{a}, double @var{b}) 267@deftypefnx {Runtime Function} {long double} __divtf3 (long double @var{a}, long double @var{b}) 268@deftypefnx {Runtime Function} {long double} __divxf3 (long double @var{a}, long double @var{b}) 269These functions return the quotient of @var{a} and @var{b}; that is, 270@w{@math{@var{a} / @var{b}}}. 271@end deftypefn 272 273@deftypefn {Runtime Function} float __negsf2 (float @var{a}) 274@deftypefnx {Runtime Function} double __negdf2 (double @var{a}) 275@deftypefnx {Runtime Function} {long double} __negtf2 (long double @var{a}) 276@deftypefnx {Runtime Function} {long double} __negxf2 (long double @var{a}) 277These functions return the negation of @var{a}. They simply flip the 278sign bit, so they can produce negative zero and negative NaN@. 279@end deftypefn 280 281@subsection Conversion functions 282 283@deftypefn {Runtime Function} double __extendsfdf2 (float @var{a}) 284@deftypefnx {Runtime Function} {long double} __extendsftf2 (float @var{a}) 285@deftypefnx {Runtime Function} {long double} __extendsfxf2 (float @var{a}) 286@deftypefnx {Runtime Function} {long double} __extenddftf2 (double @var{a}) 287@deftypefnx {Runtime Function} {long double} __extenddfxf2 (double @var{a}) 288These functions extend @var{a} to the wider mode of their return 289type. 290@end deftypefn 291 292@deftypefn {Runtime Function} double __truncxfdf2 (long double @var{a}) 293@deftypefnx {Runtime Function} double __trunctfdf2 (long double @var{a}) 294@deftypefnx {Runtime Function} float __truncxfsf2 (long double @var{a}) 295@deftypefnx {Runtime Function} float __trunctfsf2 (long double @var{a}) 296@deftypefnx {Runtime Function} float __truncdfsf2 (double @var{a}) 297These functions truncate @var{a} to the narrower mode of their return 298type, rounding toward zero. 299@end deftypefn 300 301@deftypefn {Runtime Function} int __fixsfsi (float @var{a}) 302@deftypefnx {Runtime Function} int __fixdfsi (double @var{a}) 303@deftypefnx {Runtime Function} int __fixtfsi (long double @var{a}) 304@deftypefnx {Runtime Function} int __fixxfsi (long double @var{a}) 305These functions convert @var{a} to a signed integer, rounding toward zero. 306@end deftypefn 307 308@deftypefn {Runtime Function} long __fixsfdi (float @var{a}) 309@deftypefnx {Runtime Function} long __fixdfdi (double @var{a}) 310@deftypefnx {Runtime Function} long __fixtfdi (long double @var{a}) 311@deftypefnx {Runtime Function} long __fixxfdi (long double @var{a}) 312These functions convert @var{a} to a signed long, rounding toward zero. 313@end deftypefn 314 315@deftypefn {Runtime Function} {long long} __fixsfti (float @var{a}) 316@deftypefnx {Runtime Function} {long long} __fixdfti (double @var{a}) 317@deftypefnx {Runtime Function} {long long} __fixtfti (long double @var{a}) 318@deftypefnx {Runtime Function} {long long} __fixxfti (long double @var{a}) 319These functions convert @var{a} to a signed long long, rounding toward zero. 320@end deftypefn 321 322@deftypefn {Runtime Function} {unsigned int} __fixunssfsi (float @var{a}) 323@deftypefnx {Runtime Function} {unsigned int} __fixunsdfsi (double @var{a}) 324@deftypefnx {Runtime Function} {unsigned int} __fixunstfsi (long double @var{a}) 325@deftypefnx {Runtime Function} {unsigned int} __fixunsxfsi (long double @var{a}) 326These functions convert @var{a} to an unsigned integer, rounding 327toward zero. Negative values all become zero. 328@end deftypefn 329 330@deftypefn {Runtime Function} {unsigned long} __fixunssfdi (float @var{a}) 331@deftypefnx {Runtime Function} {unsigned long} __fixunsdfdi (double @var{a}) 332@deftypefnx {Runtime Function} {unsigned long} __fixunstfdi (long double @var{a}) 333@deftypefnx {Runtime Function} {unsigned long} __fixunsxfdi (long double @var{a}) 334These functions convert @var{a} to an unsigned long, rounding 335toward zero. Negative values all become zero. 336@end deftypefn 337 338@deftypefn {Runtime Function} {unsigned long long} __fixunssfti (float @var{a}) 339@deftypefnx {Runtime Function} {unsigned long long} __fixunsdfti (double @var{a}) 340@deftypefnx {Runtime Function} {unsigned long long} __fixunstfti (long double @var{a}) 341@deftypefnx {Runtime Function} {unsigned long long} __fixunsxfti (long double @var{a}) 342These functions convert @var{a} to an unsigned long long, rounding 343toward zero. Negative values all become zero. 344@end deftypefn 345 346@deftypefn {Runtime Function} float __floatsisf (int @var{i}) 347@deftypefnx {Runtime Function} double __floatsidf (int @var{i}) 348@deftypefnx {Runtime Function} {long double} __floatsitf (int @var{i}) 349@deftypefnx {Runtime Function} {long double} __floatsixf (int @var{i}) 350These functions convert @var{i}, a signed integer, to floating point. 351@end deftypefn 352 353@deftypefn {Runtime Function} float __floatdisf (long @var{i}) 354@deftypefnx {Runtime Function} double __floatdidf (long @var{i}) 355@deftypefnx {Runtime Function} {long double} __floatditf (long @var{i}) 356@deftypefnx {Runtime Function} {long double} __floatdixf (long @var{i}) 357These functions convert @var{i}, a signed long, to floating point. 358@end deftypefn 359 360@deftypefn {Runtime Function} float __floattisf (long long @var{i}) 361@deftypefnx {Runtime Function} double __floattidf (long long @var{i}) 362@deftypefnx {Runtime Function} {long double} __floattitf (long long @var{i}) 363@deftypefnx {Runtime Function} {long double} __floattixf (long long @var{i}) 364These functions convert @var{i}, a signed long long, to floating point. 365@end deftypefn 366 367@deftypefn {Runtime Function} float __floatunsisf (unsigned int @var{i}) 368@deftypefnx {Runtime Function} double __floatunsidf (unsigned int @var{i}) 369@deftypefnx {Runtime Function} {long double} __floatunsitf (unsigned int @var{i}) 370@deftypefnx {Runtime Function} {long double} __floatunsixf (unsigned int @var{i}) 371These functions convert @var{i}, an unsigned integer, to floating point. 372@end deftypefn 373 374@deftypefn {Runtime Function} float __floatundisf (unsigned long @var{i}) 375@deftypefnx {Runtime Function} double __floatundidf (unsigned long @var{i}) 376@deftypefnx {Runtime Function} {long double} __floatunditf (unsigned long @var{i}) 377@deftypefnx {Runtime Function} {long double} __floatundixf (unsigned long @var{i}) 378These functions convert @var{i}, an unsigned long, to floating point. 379@end deftypefn 380 381@deftypefn {Runtime Function} float __floatuntisf (unsigned long long @var{i}) 382@deftypefnx {Runtime Function} double __floatuntidf (unsigned long long @var{i}) 383@deftypefnx {Runtime Function} {long double} __floatuntitf (unsigned long long @var{i}) 384@deftypefnx {Runtime Function} {long double} __floatuntixf (unsigned long long @var{i}) 385These functions convert @var{i}, an unsigned long long, to floating point. 386@end deftypefn 387 388@subsection Comparison functions 389 390There are two sets of basic comparison functions. 391 392@deftypefn {Runtime Function} int __cmpsf2 (float @var{a}, float @var{b}) 393@deftypefnx {Runtime Function} int __cmpdf2 (double @var{a}, double @var{b}) 394@deftypefnx {Runtime Function} int __cmptf2 (long double @var{a}, long double @var{b}) 395These functions calculate @math{a <=> b}. That is, if @var{a} is less 396than @var{b}, they return @minus{}1; if @var{a} is greater than @var{b}, they 397return 1; and if @var{a} and @var{b} are equal they return 0. If 398either argument is NaN they return 1, but you should not rely on this; 399if NaN is a possibility, use one of the higher-level comparison 400functions. 401@end deftypefn 402 403@deftypefn {Runtime Function} int __unordsf2 (float @var{a}, float @var{b}) 404@deftypefnx {Runtime Function} int __unorddf2 (double @var{a}, double @var{b}) 405@deftypefnx {Runtime Function} int __unordtf2 (long double @var{a}, long double @var{b}) 406These functions return a nonzero value if either argument is NaN, otherwise 0. 407@end deftypefn 408 409There is also a complete group of higher level functions which 410correspond directly to comparison operators. They implement the ISO C 411semantics for floating-point comparisons, taking NaN into account. 412Pay careful attention to the return values defined for each set. 413Under the hood, all of these routines are implemented as 414 415@smallexample 416 if (__unord@var{X}f2 (a, b)) 417 return @var{E}; 418 return __cmp@var{X}f2 (a, b); 419@end smallexample 420 421@noindent 422where @var{E} is a constant chosen to give the proper behavior for 423NaN@. Thus, the meaning of the return value is different for each set. 424Do not rely on this implementation; only the semantics documented 425below are guaranteed. 426 427@deftypefn {Runtime Function} int __eqsf2 (float @var{a}, float @var{b}) 428@deftypefnx {Runtime Function} int __eqdf2 (double @var{a}, double @var{b}) 429@deftypefnx {Runtime Function} int __eqtf2 (long double @var{a}, long double @var{b}) 430These functions return zero if neither argument is NaN, and @var{a} and 431@var{b} are equal. 432@end deftypefn 433 434@deftypefn {Runtime Function} int __nesf2 (float @var{a}, float @var{b}) 435@deftypefnx {Runtime Function} int __nedf2 (double @var{a}, double @var{b}) 436@deftypefnx {Runtime Function} int __netf2 (long double @var{a}, long double @var{b}) 437These functions return a nonzero value if either argument is NaN, or 438if @var{a} and @var{b} are unequal. 439@end deftypefn 440 441@deftypefn {Runtime Function} int __gesf2 (float @var{a}, float @var{b}) 442@deftypefnx {Runtime Function} int __gedf2 (double @var{a}, double @var{b}) 443@deftypefnx {Runtime Function} int __getf2 (long double @var{a}, long double @var{b}) 444These functions return a value greater than or equal to zero if 445neither argument is NaN, and @var{a} is greater than or equal to 446@var{b}. 447@end deftypefn 448 449@deftypefn {Runtime Function} int __ltsf2 (float @var{a}, float @var{b}) 450@deftypefnx {Runtime Function} int __ltdf2 (double @var{a}, double @var{b}) 451@deftypefnx {Runtime Function} int __lttf2 (long double @var{a}, long double @var{b}) 452These functions return a value less than zero if neither argument is 453NaN, and @var{a} is strictly less than @var{b}. 454@end deftypefn 455 456@deftypefn {Runtime Function} int __lesf2 (float @var{a}, float @var{b}) 457@deftypefnx {Runtime Function} int __ledf2 (double @var{a}, double @var{b}) 458@deftypefnx {Runtime Function} int __letf2 (long double @var{a}, long double @var{b}) 459These functions return a value less than or equal to zero if neither 460argument is NaN, and @var{a} is less than or equal to @var{b}. 461@end deftypefn 462 463@deftypefn {Runtime Function} int __gtsf2 (float @var{a}, float @var{b}) 464@deftypefnx {Runtime Function} int __gtdf2 (double @var{a}, double @var{b}) 465@deftypefnx {Runtime Function} int __gttf2 (long double @var{a}, long double @var{b}) 466These functions return a value greater than zero if neither argument 467is NaN, and @var{a} is strictly greater than @var{b}. 468@end deftypefn 469 470@subsection Other floating-point functions 471 472@deftypefn {Runtime Function} float __powisf2 (float @var{a}, int @var{b}) 473@deftypefnx {Runtime Function} double __powidf2 (double @var{a}, int @var{b}) 474@deftypefnx {Runtime Function} {long double} __powitf2 (long double @var{a}, int @var{b}) 475@deftypefnx {Runtime Function} {long double} __powixf2 (long double @var{a}, int @var{b}) 476These functions convert raise @var{a} to the power @var{b}. 477@end deftypefn 478 479@deftypefn {Runtime Function} {complex float} __mulsc3 (float @var{a}, float @var{b}, float @var{c}, float @var{d}) 480@deftypefnx {Runtime Function} {complex double} __muldc3 (double @var{a}, double @var{b}, double @var{c}, double @var{d}) 481@deftypefnx {Runtime Function} {complex long double} __multc3 (long double @var{a}, long double @var{b}, long double @var{c}, long double @var{d}) 482@deftypefnx {Runtime Function} {complex long double} __mulxc3 (long double @var{a}, long double @var{b}, long double @var{c}, long double @var{d}) 483These functions return the product of @math{@var{a} + i@var{b}} and 484@math{@var{c} + i@var{d}}, following the rules of C99 Annex G@. 485@end deftypefn 486 487@deftypefn {Runtime Function} {complex float} __divsc3 (float @var{a}, float @var{b}, float @var{c}, float @var{d}) 488@deftypefnx {Runtime Function} {complex double} __divdc3 (double @var{a}, double @var{b}, double @var{c}, double @var{d}) 489@deftypefnx {Runtime Function} {complex long double} __divtc3 (long double @var{a}, long double @var{b}, long double @var{c}, long double @var{d}) 490@deftypefnx {Runtime Function} {complex long double} __divxc3 (long double @var{a}, long double @var{b}, long double @var{c}, long double @var{d}) 491These functions return the quotient of @math{@var{a} + i@var{b}} and 492@math{@var{c} + i@var{d}} (i.e., @math{(@var{a} + i@var{b}) / (@var{c} 493+ i@var{d})}), following the rules of C99 Annex G@. 494@end deftypefn 495 496@node Decimal float library routines 497@section Routines for decimal floating point emulation 498@cindex decimal float library 499@cindex IEEE 754-2008 500 501The software decimal floating point library implements IEEE 754-2008 502decimal floating point arithmetic and is only activated on selected 503targets. 504 505The software decimal floating point library supports either DPD 506(Densely Packed Decimal) or BID (Binary Integer Decimal) encoding 507as selected at configure time. 508 509 510@subsection Arithmetic functions 511 512@deftypefn {Runtime Function} _Decimal32 __dpd_addsd3 (_Decimal32 @var{a}, _Decimal32 @var{b}) 513@deftypefnx {Runtime Function} _Decimal32 __bid_addsd3 (_Decimal32 @var{a}, _Decimal32 @var{b}) 514@deftypefnx {Runtime Function} _Decimal64 __dpd_adddd3 (_Decimal64 @var{a}, _Decimal64 @var{b}) 515@deftypefnx {Runtime Function} _Decimal64 __bid_adddd3 (_Decimal64 @var{a}, _Decimal64 @var{b}) 516@deftypefnx {Runtime Function} _Decimal128 __dpd_addtd3 (_Decimal128 @var{a}, _Decimal128 @var{b}) 517@deftypefnx {Runtime Function} _Decimal128 __bid_addtd3 (_Decimal128 @var{a}, _Decimal128 @var{b}) 518These functions return the sum of @var{a} and @var{b}. 519@end deftypefn 520 521@deftypefn {Runtime Function} _Decimal32 __dpd_subsd3 (_Decimal32 @var{a}, _Decimal32 @var{b}) 522@deftypefnx {Runtime Function} _Decimal32 __bid_subsd3 (_Decimal32 @var{a}, _Decimal32 @var{b}) 523@deftypefnx {Runtime Function} _Decimal64 __dpd_subdd3 (_Decimal64 @var{a}, _Decimal64 @var{b}) 524@deftypefnx {Runtime Function} _Decimal64 __bid_subdd3 (_Decimal64 @var{a}, _Decimal64 @var{b}) 525@deftypefnx {Runtime Function} _Decimal128 __dpd_subtd3 (_Decimal128 @var{a}, _Decimal128 @var{b}) 526@deftypefnx {Runtime Function} _Decimal128 __bid_subtd3 (_Decimal128 @var{a}, _Decimal128 @var{b}) 527These functions return the difference between @var{b} and @var{a}; 528that is, @w{@math{@var{a} - @var{b}}}. 529@end deftypefn 530 531@deftypefn {Runtime Function} _Decimal32 __dpd_mulsd3 (_Decimal32 @var{a}, _Decimal32 @var{b}) 532@deftypefnx {Runtime Function} _Decimal32 __bid_mulsd3 (_Decimal32 @var{a}, _Decimal32 @var{b}) 533@deftypefnx {Runtime Function} _Decimal64 __dpd_muldd3 (_Decimal64 @var{a}, _Decimal64 @var{b}) 534@deftypefnx {Runtime Function} _Decimal64 __bid_muldd3 (_Decimal64 @var{a}, _Decimal64 @var{b}) 535@deftypefnx {Runtime Function} _Decimal128 __dpd_multd3 (_Decimal128 @var{a}, _Decimal128 @var{b}) 536@deftypefnx {Runtime Function} _Decimal128 __bid_multd3 (_Decimal128 @var{a}, _Decimal128 @var{b}) 537These functions return the product of @var{a} and @var{b}. 538@end deftypefn 539 540@deftypefn {Runtime Function} _Decimal32 __dpd_divsd3 (_Decimal32 @var{a}, _Decimal32 @var{b}) 541@deftypefnx {Runtime Function} _Decimal32 __bid_divsd3 (_Decimal32 @var{a}, _Decimal32 @var{b}) 542@deftypefnx {Runtime Function} _Decimal64 __dpd_divdd3 (_Decimal64 @var{a}, _Decimal64 @var{b}) 543@deftypefnx {Runtime Function} _Decimal64 __bid_divdd3 (_Decimal64 @var{a}, _Decimal64 @var{b}) 544@deftypefnx {Runtime Function} _Decimal128 __dpd_divtd3 (_Decimal128 @var{a}, _Decimal128 @var{b}) 545@deftypefnx {Runtime Function} _Decimal128 __bid_divtd3 (_Decimal128 @var{a}, _Decimal128 @var{b}) 546These functions return the quotient of @var{a} and @var{b}; that is, 547@w{@math{@var{a} / @var{b}}}. 548@end deftypefn 549 550@deftypefn {Runtime Function} _Decimal32 __dpd_negsd2 (_Decimal32 @var{a}) 551@deftypefnx {Runtime Function} _Decimal32 __bid_negsd2 (_Decimal32 @var{a}) 552@deftypefnx {Runtime Function} _Decimal64 __dpd_negdd2 (_Decimal64 @var{a}) 553@deftypefnx {Runtime Function} _Decimal64 __bid_negdd2 (_Decimal64 @var{a}) 554@deftypefnx {Runtime Function} _Decimal128 __dpd_negtd2 (_Decimal128 @var{a}) 555@deftypefnx {Runtime Function} _Decimal128 __bid_negtd2 (_Decimal128 @var{a}) 556These functions return the negation of @var{a}. They simply flip the 557sign bit, so they can produce negative zero and negative NaN@. 558@end deftypefn 559 560@subsection Conversion functions 561 562@deftypefn {Runtime Function} _Decimal64 __dpd_extendsddd2 (_Decimal32 @var{a}) 563@deftypefnx {Runtime Function} _Decimal64 __bid_extendsddd2 (_Decimal32 @var{a}) 564@deftypefnx {Runtime Function} _Decimal128 __dpd_extendsdtd2 (_Decimal32 @var{a}) 565@deftypefnx {Runtime Function} _Decimal128 __bid_extendsdtd2 (_Decimal32 @var{a}) 566@deftypefnx {Runtime Function} _Decimal128 __dpd_extendddtd2 (_Decimal64 @var{a}) 567@deftypefnx {Runtime Function} _Decimal128 __bid_extendddtd2 (_Decimal64 @var{a}) 568@deftypefnx {Runtime Function} _Decimal32 __dpd_truncddsd2 (_Decimal64 @var{a}) 569@deftypefnx {Runtime Function} _Decimal32 __bid_truncddsd2 (_Decimal64 @var{a}) 570@deftypefnx {Runtime Function} _Decimal32 __dpd_trunctdsd2 (_Decimal128 @var{a}) 571@deftypefnx {Runtime Function} _Decimal32 __bid_trunctdsd2 (_Decimal128 @var{a}) 572@deftypefnx {Runtime Function} _Decimal64 __dpd_trunctddd2 (_Decimal128 @var{a}) 573@deftypefnx {Runtime Function} _Decimal64 __bid_trunctddd2 (_Decimal128 @var{a}) 574These functions convert the value @var{a} from one decimal floating type 575to another. 576@end deftypefn 577 578@deftypefn {Runtime Function} _Decimal64 __dpd_extendsfdd (float @var{a}) 579@deftypefnx {Runtime Function} _Decimal64 __bid_extendsfdd (float @var{a}) 580@deftypefnx {Runtime Function} _Decimal128 __dpd_extendsftd (float @var{a}) 581@deftypefnx {Runtime Function} _Decimal128 __bid_extendsftd (float @var{a}) 582@deftypefnx {Runtime Function} _Decimal128 __dpd_extenddftd (double @var{a}) 583@deftypefnx {Runtime Function} _Decimal128 __bid_extenddftd (double @var{a}) 584@deftypefnx {Runtime Function} _Decimal128 __dpd_extendxftd ({long double} @var{a}) 585@deftypefnx {Runtime Function} _Decimal128 __bid_extendxftd ({long double} @var{a}) 586@deftypefnx {Runtime Function} _Decimal32 __dpd_truncdfsd (double @var{a}) 587@deftypefnx {Runtime Function} _Decimal32 __bid_truncdfsd (double @var{a}) 588@deftypefnx {Runtime Function} _Decimal32 __dpd_truncxfsd ({long double} @var{a}) 589@deftypefnx {Runtime Function} _Decimal32 __bid_truncxfsd ({long double} @var{a}) 590@deftypefnx {Runtime Function} _Decimal32 __dpd_trunctfsd ({long double} @var{a}) 591@deftypefnx {Runtime Function} _Decimal32 __bid_trunctfsd ({long double} @var{a}) 592@deftypefnx {Runtime Function} _Decimal64 __dpd_truncxfdd ({long double} @var{a}) 593@deftypefnx {Runtime Function} _Decimal64 __bid_truncxfdd ({long double} @var{a}) 594@deftypefnx {Runtime Function} _Decimal64 __dpd_trunctfdd ({long double} @var{a}) 595@deftypefnx {Runtime Function} _Decimal64 __bid_trunctfdd ({long double} @var{a}) 596These functions convert the value of @var{a} from a binary floating type 597to a decimal floating type of a different size. 598@end deftypefn 599 600@deftypefn {Runtime Function} float __dpd_truncddsf (_Decimal64 @var{a}) 601@deftypefnx {Runtime Function} float __bid_truncddsf (_Decimal64 @var{a}) 602@deftypefnx {Runtime Function} float __dpd_trunctdsf (_Decimal128 @var{a}) 603@deftypefnx {Runtime Function} float __bid_trunctdsf (_Decimal128 @var{a}) 604@deftypefnx {Runtime Function} double __dpd_extendsddf (_Decimal32 @var{a}) 605@deftypefnx {Runtime Function} double __bid_extendsddf (_Decimal32 @var{a}) 606@deftypefnx {Runtime Function} double __dpd_trunctddf (_Decimal128 @var{a}) 607@deftypefnx {Runtime Function} double __bid_trunctddf (_Decimal128 @var{a}) 608@deftypefnx {Runtime Function} {long double} __dpd_extendsdxf (_Decimal32 @var{a}) 609@deftypefnx {Runtime Function} {long double} __bid_extendsdxf (_Decimal32 @var{a}) 610@deftypefnx {Runtime Function} {long double} __dpd_extendddxf (_Decimal64 @var{a}) 611@deftypefnx {Runtime Function} {long double} __bid_extendddxf (_Decimal64 @var{a}) 612@deftypefnx {Runtime Function} {long double} __dpd_trunctdxf (_Decimal128 @var{a}) 613@deftypefnx {Runtime Function} {long double} __bid_trunctdxf (_Decimal128 @var{a}) 614@deftypefnx {Runtime Function} {long double} __dpd_extendsdtf (_Decimal32 @var{a}) 615@deftypefnx {Runtime Function} {long double} __bid_extendsdtf (_Decimal32 @var{a}) 616@deftypefnx {Runtime Function} {long double} __dpd_extendddtf (_Decimal64 @var{a}) 617@deftypefnx {Runtime Function} {long double} __bid_extendddtf (_Decimal64 @var{a}) 618These functions convert the value of @var{a} from a decimal floating type 619to a binary floating type of a different size. 620@end deftypefn 621 622@deftypefn {Runtime Function} _Decimal32 __dpd_extendsfsd (float @var{a}) 623@deftypefnx {Runtime Function} _Decimal32 __bid_extendsfsd (float @var{a}) 624@deftypefnx {Runtime Function} _Decimal64 __dpd_extenddfdd (double @var{a}) 625@deftypefnx {Runtime Function} _Decimal64 __bid_extenddfdd (double @var{a}) 626@deftypefnx {Runtime Function} _Decimal128 __dpd_extendtftd ({long double} @var{a}) 627@deftypefnx {Runtime Function} _Decimal128 __bid_extendtftd ({long double} @var{a}) 628@deftypefnx {Runtime Function} float __dpd_truncsdsf (_Decimal32 @var{a}) 629@deftypefnx {Runtime Function} float __bid_truncsdsf (_Decimal32 @var{a}) 630@deftypefnx {Runtime Function} double __dpd_truncdddf (_Decimal64 @var{a}) 631@deftypefnx {Runtime Function} double __bid_truncdddf (_Decimal64 @var{a}) 632@deftypefnx {Runtime Function} {long double} __dpd_trunctdtf (_Decimal128 @var{a}) 633@deftypefnx {Runtime Function} {long double} __bid_trunctdtf (_Decimal128 @var{a}) 634These functions convert the value of @var{a} between decimal and 635binary floating types of the same size. 636@end deftypefn 637 638@deftypefn {Runtime Function} int __dpd_fixsdsi (_Decimal32 @var{a}) 639@deftypefnx {Runtime Function} int __bid_fixsdsi (_Decimal32 @var{a}) 640@deftypefnx {Runtime Function} int __dpd_fixddsi (_Decimal64 @var{a}) 641@deftypefnx {Runtime Function} int __bid_fixddsi (_Decimal64 @var{a}) 642@deftypefnx {Runtime Function} int __dpd_fixtdsi (_Decimal128 @var{a}) 643@deftypefnx {Runtime Function} int __bid_fixtdsi (_Decimal128 @var{a}) 644These functions convert @var{a} to a signed integer. 645@end deftypefn 646 647@deftypefn {Runtime Function} long __dpd_fixsddi (_Decimal32 @var{a}) 648@deftypefnx {Runtime Function} long __bid_fixsddi (_Decimal32 @var{a}) 649@deftypefnx {Runtime Function} long __dpd_fixdddi (_Decimal64 @var{a}) 650@deftypefnx {Runtime Function} long __bid_fixdddi (_Decimal64 @var{a}) 651@deftypefnx {Runtime Function} long __dpd_fixtddi (_Decimal128 @var{a}) 652@deftypefnx {Runtime Function} long __bid_fixtddi (_Decimal128 @var{a}) 653These functions convert @var{a} to a signed long. 654@end deftypefn 655 656@deftypefn {Runtime Function} {unsigned int} __dpd_fixunssdsi (_Decimal32 @var{a}) 657@deftypefnx {Runtime Function} {unsigned int} __bid_fixunssdsi (_Decimal32 @var{a}) 658@deftypefnx {Runtime Function} {unsigned int} __dpd_fixunsddsi (_Decimal64 @var{a}) 659@deftypefnx {Runtime Function} {unsigned int} __bid_fixunsddsi (_Decimal64 @var{a}) 660@deftypefnx {Runtime Function} {unsigned int} __dpd_fixunstdsi (_Decimal128 @var{a}) 661@deftypefnx {Runtime Function} {unsigned int} __bid_fixunstdsi (_Decimal128 @var{a}) 662These functions convert @var{a} to an unsigned integer. Negative values all become zero. 663@end deftypefn 664 665@deftypefn {Runtime Function} {unsigned long} __dpd_fixunssddi (_Decimal32 @var{a}) 666@deftypefnx {Runtime Function} {unsigned long} __bid_fixunssddi (_Decimal32 @var{a}) 667@deftypefnx {Runtime Function} {unsigned long} __dpd_fixunsdddi (_Decimal64 @var{a}) 668@deftypefnx {Runtime Function} {unsigned long} __bid_fixunsdddi (_Decimal64 @var{a}) 669@deftypefnx {Runtime Function} {unsigned long} __dpd_fixunstddi (_Decimal128 @var{a}) 670@deftypefnx {Runtime Function} {unsigned long} __bid_fixunstddi (_Decimal128 @var{a}) 671These functions convert @var{a} to an unsigned long. Negative values 672all become zero. 673@end deftypefn 674 675@deftypefn {Runtime Function} _Decimal32 __dpd_floatsisd (int @var{i}) 676@deftypefnx {Runtime Function} _Decimal32 __bid_floatsisd (int @var{i}) 677@deftypefnx {Runtime Function} _Decimal64 __dpd_floatsidd (int @var{i}) 678@deftypefnx {Runtime Function} _Decimal64 __bid_floatsidd (int @var{i}) 679@deftypefnx {Runtime Function} _Decimal128 __dpd_floatsitd (int @var{i}) 680@deftypefnx {Runtime Function} _Decimal128 __bid_floatsitd (int @var{i}) 681These functions convert @var{i}, a signed integer, to decimal floating point. 682@end deftypefn 683 684@deftypefn {Runtime Function} _Decimal32 __dpd_floatdisd (long @var{i}) 685@deftypefnx {Runtime Function} _Decimal32 __bid_floatdisd (long @var{i}) 686@deftypefnx {Runtime Function} _Decimal64 __dpd_floatdidd (long @var{i}) 687@deftypefnx {Runtime Function} _Decimal64 __bid_floatdidd (long @var{i}) 688@deftypefnx {Runtime Function} _Decimal128 __dpd_floatditd (long @var{i}) 689@deftypefnx {Runtime Function} _Decimal128 __bid_floatditd (long @var{i}) 690These functions convert @var{i}, a signed long, to decimal floating point. 691@end deftypefn 692 693@deftypefn {Runtime Function} _Decimal32 __dpd_floatunssisd (unsigned int @var{i}) 694@deftypefnx {Runtime Function} _Decimal32 __bid_floatunssisd (unsigned int @var{i}) 695@deftypefnx {Runtime Function} _Decimal64 __dpd_floatunssidd (unsigned int @var{i}) 696@deftypefnx {Runtime Function} _Decimal64 __bid_floatunssidd (unsigned int @var{i}) 697@deftypefnx {Runtime Function} _Decimal128 __dpd_floatunssitd (unsigned int @var{i}) 698@deftypefnx {Runtime Function} _Decimal128 __bid_floatunssitd (unsigned int @var{i}) 699These functions convert @var{i}, an unsigned integer, to decimal floating point. 700@end deftypefn 701 702@deftypefn {Runtime Function} _Decimal32 __dpd_floatunsdisd (unsigned long @var{i}) 703@deftypefnx {Runtime Function} _Decimal32 __bid_floatunsdisd (unsigned long @var{i}) 704@deftypefnx {Runtime Function} _Decimal64 __dpd_floatunsdidd (unsigned long @var{i}) 705@deftypefnx {Runtime Function} _Decimal64 __bid_floatunsdidd (unsigned long @var{i}) 706@deftypefnx {Runtime Function} _Decimal128 __dpd_floatunsditd (unsigned long @var{i}) 707@deftypefnx {Runtime Function} _Decimal128 __bid_floatunsditd (unsigned long @var{i}) 708These functions convert @var{i}, an unsigned long, to decimal floating point. 709@end deftypefn 710 711@subsection Comparison functions 712 713@deftypefn {Runtime Function} int __dpd_unordsd2 (_Decimal32 @var{a}, _Decimal32 @var{b}) 714@deftypefnx {Runtime Function} int __bid_unordsd2 (_Decimal32 @var{a}, _Decimal32 @var{b}) 715@deftypefnx {Runtime Function} int __dpd_unorddd2 (_Decimal64 @var{a}, _Decimal64 @var{b}) 716@deftypefnx {Runtime Function} int __bid_unorddd2 (_Decimal64 @var{a}, _Decimal64 @var{b}) 717@deftypefnx {Runtime Function} int __dpd_unordtd2 (_Decimal128 @var{a}, _Decimal128 @var{b}) 718@deftypefnx {Runtime Function} int __bid_unordtd2 (_Decimal128 @var{a}, _Decimal128 @var{b}) 719These functions return a nonzero value if either argument is NaN, otherwise 0. 720@end deftypefn 721 722There is also a complete group of higher level functions which 723correspond directly to comparison operators. They implement the ISO C 724semantics for floating-point comparisons, taking NaN into account. 725Pay careful attention to the return values defined for each set. 726Under the hood, all of these routines are implemented as 727 728@smallexample 729 if (__bid_unord@var{X}d2 (a, b)) 730 return @var{E}; 731 return __bid_cmp@var{X}d2 (a, b); 732@end smallexample 733 734@noindent 735where @var{E} is a constant chosen to give the proper behavior for 736NaN@. Thus, the meaning of the return value is different for each set. 737Do not rely on this implementation; only the semantics documented 738below are guaranteed. 739 740@deftypefn {Runtime Function} int __dpd_eqsd2 (_Decimal32 @var{a}, _Decimal32 @var{b}) 741@deftypefnx {Runtime Function} int __bid_eqsd2 (_Decimal32 @var{a}, _Decimal32 @var{b}) 742@deftypefnx {Runtime Function} int __dpd_eqdd2 (_Decimal64 @var{a}, _Decimal64 @var{b}) 743@deftypefnx {Runtime Function} int __bid_eqdd2 (_Decimal64 @var{a}, _Decimal64 @var{b}) 744@deftypefnx {Runtime Function} int __dpd_eqtd2 (_Decimal128 @var{a}, _Decimal128 @var{b}) 745@deftypefnx {Runtime Function} int __bid_eqtd2 (_Decimal128 @var{a}, _Decimal128 @var{b}) 746These functions return zero if neither argument is NaN, and @var{a} and 747@var{b} are equal. 748@end deftypefn 749 750@deftypefn {Runtime Function} int __dpd_nesd2 (_Decimal32 @var{a}, _Decimal32 @var{b}) 751@deftypefnx {Runtime Function} int __bid_nesd2 (_Decimal32 @var{a}, _Decimal32 @var{b}) 752@deftypefnx {Runtime Function} int __dpd_nedd2 (_Decimal64 @var{a}, _Decimal64 @var{b}) 753@deftypefnx {Runtime Function} int __bid_nedd2 (_Decimal64 @var{a}, _Decimal64 @var{b}) 754@deftypefnx {Runtime Function} int __dpd_netd2 (_Decimal128 @var{a}, _Decimal128 @var{b}) 755@deftypefnx {Runtime Function} int __bid_netd2 (_Decimal128 @var{a}, _Decimal128 @var{b}) 756These functions return a nonzero value if either argument is NaN, or 757if @var{a} and @var{b} are unequal. 758@end deftypefn 759 760@deftypefn {Runtime Function} int __dpd_gesd2 (_Decimal32 @var{a}, _Decimal32 @var{b}) 761@deftypefnx {Runtime Function} int __bid_gesd2 (_Decimal32 @var{a}, _Decimal32 @var{b}) 762@deftypefnx {Runtime Function} int __dpd_gedd2 (_Decimal64 @var{a}, _Decimal64 @var{b}) 763@deftypefnx {Runtime Function} int __bid_gedd2 (_Decimal64 @var{a}, _Decimal64 @var{b}) 764@deftypefnx {Runtime Function} int __dpd_getd2 (_Decimal128 @var{a}, _Decimal128 @var{b}) 765@deftypefnx {Runtime Function} int __bid_getd2 (_Decimal128 @var{a}, _Decimal128 @var{b}) 766These functions return a value greater than or equal to zero if 767neither argument is NaN, and @var{a} is greater than or equal to 768@var{b}. 769@end deftypefn 770 771@deftypefn {Runtime Function} int __dpd_ltsd2 (_Decimal32 @var{a}, _Decimal32 @var{b}) 772@deftypefnx {Runtime Function} int __bid_ltsd2 (_Decimal32 @var{a}, _Decimal32 @var{b}) 773@deftypefnx {Runtime Function} int __dpd_ltdd2 (_Decimal64 @var{a}, _Decimal64 @var{b}) 774@deftypefnx {Runtime Function} int __bid_ltdd2 (_Decimal64 @var{a}, _Decimal64 @var{b}) 775@deftypefnx {Runtime Function} int __dpd_lttd2 (_Decimal128 @var{a}, _Decimal128 @var{b}) 776@deftypefnx {Runtime Function} int __bid_lttd2 (_Decimal128 @var{a}, _Decimal128 @var{b}) 777These functions return a value less than zero if neither argument is 778NaN, and @var{a} is strictly less than @var{b}. 779@end deftypefn 780 781@deftypefn {Runtime Function} int __dpd_lesd2 (_Decimal32 @var{a}, _Decimal32 @var{b}) 782@deftypefnx {Runtime Function} int __bid_lesd2 (_Decimal32 @var{a}, _Decimal32 @var{b}) 783@deftypefnx {Runtime Function} int __dpd_ledd2 (_Decimal64 @var{a}, _Decimal64 @var{b}) 784@deftypefnx {Runtime Function} int __bid_ledd2 (_Decimal64 @var{a}, _Decimal64 @var{b}) 785@deftypefnx {Runtime Function} int __dpd_letd2 (_Decimal128 @var{a}, _Decimal128 @var{b}) 786@deftypefnx {Runtime Function} int __bid_letd2 (_Decimal128 @var{a}, _Decimal128 @var{b}) 787These functions return a value less than or equal to zero if neither 788argument is NaN, and @var{a} is less than or equal to @var{b}. 789@end deftypefn 790 791@deftypefn {Runtime Function} int __dpd_gtsd2 (_Decimal32 @var{a}, _Decimal32 @var{b}) 792@deftypefnx {Runtime Function} int __bid_gtsd2 (_Decimal32 @var{a}, _Decimal32 @var{b}) 793@deftypefnx {Runtime Function} int __dpd_gtdd2 (_Decimal64 @var{a}, _Decimal64 @var{b}) 794@deftypefnx {Runtime Function} int __bid_gtdd2 (_Decimal64 @var{a}, _Decimal64 @var{b}) 795@deftypefnx {Runtime Function} int __dpd_gttd2 (_Decimal128 @var{a}, _Decimal128 @var{b}) 796@deftypefnx {Runtime Function} int __bid_gttd2 (_Decimal128 @var{a}, _Decimal128 @var{b}) 797These functions return a value greater than zero if neither argument 798is NaN, and @var{a} is strictly greater than @var{b}. 799@end deftypefn 800 801@node Fixed-point fractional library routines 802@section Routines for fixed-point fractional emulation 803@cindex fixed-point fractional library 804@cindex fractional types 805@cindex Embedded C 806 807The software fixed-point library implements fixed-point fractional 808arithmetic, and is only activated on selected targets. 809 810For ease of comprehension @code{fract} is an alias for the 811@code{_Fract} type, @code{accum} an alias for @code{_Accum}, and 812@code{sat} an alias for @code{_Sat}. 813 814For illustrative purposes, in this section the fixed-point fractional type 815@code{@w{short fract}} is assumed to correspond to machine mode @code{QQmode}; 816@code{@w{unsigned short fract}} to @code{UQQmode}; 817@code{fract} to @code{HQmode}; 818@code{@w{unsigned fract}} to @code{UHQmode}; 819@code{@w{long fract}} to @code{SQmode}; 820@code{@w{unsigned long fract}} to @code{USQmode}; 821@code{@w{long long fract}} to @code{DQmode}; 822and @code{@w{unsigned long long fract}} to @code{UDQmode}. 823Similarly the fixed-point accumulator type 824@code{@w{short accum}} corresponds to @code{HAmode}; 825@code{@w{unsigned short accum}} to @code{UHAmode}; 826@code{accum} to @code{SAmode}; 827@code{@w{unsigned accum}} to @code{USAmode}; 828@code{@w{long accum}} to @code{DAmode}; 829@code{@w{unsigned long accum}} to @code{UDAmode}; 830@code{@w{long long accum}} to @code{TAmode}; 831and @code{@w{unsigned long long accum}} to @code{UTAmode}. 832 833@subsection Arithmetic functions 834 835@deftypefn {Runtime Function} {short fract} __addqq3 (short fract @var{a}, short fract @var{b}) 836@deftypefnx {Runtime Function} {fract} __addhq3 (fract @var{a}, fract @var{b}) 837@deftypefnx {Runtime Function} {long fract} __addsq3 (long fract @var{a}, long fract @var{b}) 838@deftypefnx {Runtime Function} {long long fract} __adddq3 (long long fract @var{a}, long long fract @var{b}) 839@deftypefnx {Runtime Function} {unsigned short fract} __adduqq3 (unsigned short fract @var{a}, unsigned short fract @var{b}) 840@deftypefnx {Runtime Function} {unsigned fract} __adduhq3 (unsigned fract @var{a}, unsigned fract @var{b}) 841@deftypefnx {Runtime Function} {unsigned long fract} __addusq3 (unsigned long fract @var{a}, unsigned long fract @var{b}) 842@deftypefnx {Runtime Function} {unsigned long long fract} __addudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b}) 843@deftypefnx {Runtime Function} {short accum} __addha3 (short accum @var{a}, short accum @var{b}) 844@deftypefnx {Runtime Function} {accum} __addsa3 (accum @var{a}, accum @var{b}) 845@deftypefnx {Runtime Function} {long accum} __addda3 (long accum @var{a}, long accum @var{b}) 846@deftypefnx {Runtime Function} {long long accum} __addta3 (long long accum @var{a}, long long accum @var{b}) 847@deftypefnx {Runtime Function} {unsigned short accum} __adduha3 (unsigned short accum @var{a}, unsigned short accum @var{b}) 848@deftypefnx {Runtime Function} {unsigned accum} __addusa3 (unsigned accum @var{a}, unsigned accum @var{b}) 849@deftypefnx {Runtime Function} {unsigned long accum} __adduda3 (unsigned long accum @var{a}, unsigned long accum @var{b}) 850@deftypefnx {Runtime Function} {unsigned long long accum} __adduta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b}) 851These functions return the sum of @var{a} and @var{b}. 852@end deftypefn 853 854@deftypefn {Runtime Function} {short fract} __ssaddqq3 (short fract @var{a}, short fract @var{b}) 855@deftypefnx {Runtime Function} {fract} __ssaddhq3 (fract @var{a}, fract @var{b}) 856@deftypefnx {Runtime Function} {long fract} __ssaddsq3 (long fract @var{a}, long fract @var{b}) 857@deftypefnx {Runtime Function} {long long fract} __ssadddq3 (long long fract @var{a}, long long fract @var{b}) 858@deftypefnx {Runtime Function} {short accum} __ssaddha3 (short accum @var{a}, short accum @var{b}) 859@deftypefnx {Runtime Function} {accum} __ssaddsa3 (accum @var{a}, accum @var{b}) 860@deftypefnx {Runtime Function} {long accum} __ssaddda3 (long accum @var{a}, long accum @var{b}) 861@deftypefnx {Runtime Function} {long long accum} __ssaddta3 (long long accum @var{a}, long long accum @var{b}) 862These functions return the sum of @var{a} and @var{b} with signed saturation. 863@end deftypefn 864 865@deftypefn {Runtime Function} {unsigned short fract} __usadduqq3 (unsigned short fract @var{a}, unsigned short fract @var{b}) 866@deftypefnx {Runtime Function} {unsigned fract} __usadduhq3 (unsigned fract @var{a}, unsigned fract @var{b}) 867@deftypefnx {Runtime Function} {unsigned long fract} __usaddusq3 (unsigned long fract @var{a}, unsigned long fract @var{b}) 868@deftypefnx {Runtime Function} {unsigned long long fract} __usaddudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b}) 869@deftypefnx {Runtime Function} {unsigned short accum} __usadduha3 (unsigned short accum @var{a}, unsigned short accum @var{b}) 870@deftypefnx {Runtime Function} {unsigned accum} __usaddusa3 (unsigned accum @var{a}, unsigned accum @var{b}) 871@deftypefnx {Runtime Function} {unsigned long accum} __usadduda3 (unsigned long accum @var{a}, unsigned long accum @var{b}) 872@deftypefnx {Runtime Function} {unsigned long long accum} __usadduta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b}) 873These functions return the sum of @var{a} and @var{b} with unsigned saturation. 874@end deftypefn 875 876@deftypefn {Runtime Function} {short fract} __subqq3 (short fract @var{a}, short fract @var{b}) 877@deftypefnx {Runtime Function} {fract} __subhq3 (fract @var{a}, fract @var{b}) 878@deftypefnx {Runtime Function} {long fract} __subsq3 (long fract @var{a}, long fract @var{b}) 879@deftypefnx {Runtime Function} {long long fract} __subdq3 (long long fract @var{a}, long long fract @var{b}) 880@deftypefnx {Runtime Function} {unsigned short fract} __subuqq3 (unsigned short fract @var{a}, unsigned short fract @var{b}) 881@deftypefnx {Runtime Function} {unsigned fract} __subuhq3 (unsigned fract @var{a}, unsigned fract @var{b}) 882@deftypefnx {Runtime Function} {unsigned long fract} __subusq3 (unsigned long fract @var{a}, unsigned long fract @var{b}) 883@deftypefnx {Runtime Function} {unsigned long long fract} __subudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b}) 884@deftypefnx {Runtime Function} {short accum} __subha3 (short accum @var{a}, short accum @var{b}) 885@deftypefnx {Runtime Function} {accum} __subsa3 (accum @var{a}, accum @var{b}) 886@deftypefnx {Runtime Function} {long accum} __subda3 (long accum @var{a}, long accum @var{b}) 887@deftypefnx {Runtime Function} {long long accum} __subta3 (long long accum @var{a}, long long accum @var{b}) 888@deftypefnx {Runtime Function} {unsigned short accum} __subuha3 (unsigned short accum @var{a}, unsigned short accum @var{b}) 889@deftypefnx {Runtime Function} {unsigned accum} __subusa3 (unsigned accum @var{a}, unsigned accum @var{b}) 890@deftypefnx {Runtime Function} {unsigned long accum} __subuda3 (unsigned long accum @var{a}, unsigned long accum @var{b}) 891@deftypefnx {Runtime Function} {unsigned long long accum} __subuta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b}) 892These functions return the difference of @var{a} and @var{b}; 893that is, @code{@var{a} - @var{b}}. 894@end deftypefn 895 896@deftypefn {Runtime Function} {short fract} __sssubqq3 (short fract @var{a}, short fract @var{b}) 897@deftypefnx {Runtime Function} {fract} __sssubhq3 (fract @var{a}, fract @var{b}) 898@deftypefnx {Runtime Function} {long fract} __sssubsq3 (long fract @var{a}, long fract @var{b}) 899@deftypefnx {Runtime Function} {long long fract} __sssubdq3 (long long fract @var{a}, long long fract @var{b}) 900@deftypefnx {Runtime Function} {short accum} __sssubha3 (short accum @var{a}, short accum @var{b}) 901@deftypefnx {Runtime Function} {accum} __sssubsa3 (accum @var{a}, accum @var{b}) 902@deftypefnx {Runtime Function} {long accum} __sssubda3 (long accum @var{a}, long accum @var{b}) 903@deftypefnx {Runtime Function} {long long accum} __sssubta3 (long long accum @var{a}, long long accum @var{b}) 904These functions return the difference of @var{a} and @var{b} with signed 905saturation; that is, @code{@var{a} - @var{b}}. 906@end deftypefn 907 908@deftypefn {Runtime Function} {unsigned short fract} __ussubuqq3 (unsigned short fract @var{a}, unsigned short fract @var{b}) 909@deftypefnx {Runtime Function} {unsigned fract} __ussubuhq3 (unsigned fract @var{a}, unsigned fract @var{b}) 910@deftypefnx {Runtime Function} {unsigned long fract} __ussubusq3 (unsigned long fract @var{a}, unsigned long fract @var{b}) 911@deftypefnx {Runtime Function} {unsigned long long fract} __ussubudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b}) 912@deftypefnx {Runtime Function} {unsigned short accum} __ussubuha3 (unsigned short accum @var{a}, unsigned short accum @var{b}) 913@deftypefnx {Runtime Function} {unsigned accum} __ussubusa3 (unsigned accum @var{a}, unsigned accum @var{b}) 914@deftypefnx {Runtime Function} {unsigned long accum} __ussubuda3 (unsigned long accum @var{a}, unsigned long accum @var{b}) 915@deftypefnx {Runtime Function} {unsigned long long accum} __ussubuta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b}) 916These functions return the difference of @var{a} and @var{b} with unsigned 917saturation; that is, @code{@var{a} - @var{b}}. 918@end deftypefn 919 920@deftypefn {Runtime Function} {short fract} __mulqq3 (short fract @var{a}, short fract @var{b}) 921@deftypefnx {Runtime Function} {fract} __mulhq3 (fract @var{a}, fract @var{b}) 922@deftypefnx {Runtime Function} {long fract} __mulsq3 (long fract @var{a}, long fract @var{b}) 923@deftypefnx {Runtime Function} {long long fract} __muldq3 (long long fract @var{a}, long long fract @var{b}) 924@deftypefnx {Runtime Function} {unsigned short fract} __muluqq3 (unsigned short fract @var{a}, unsigned short fract @var{b}) 925@deftypefnx {Runtime Function} {unsigned fract} __muluhq3 (unsigned fract @var{a}, unsigned fract @var{b}) 926@deftypefnx {Runtime Function} {unsigned long fract} __mulusq3 (unsigned long fract @var{a}, unsigned long fract @var{b}) 927@deftypefnx {Runtime Function} {unsigned long long fract} __muludq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b}) 928@deftypefnx {Runtime Function} {short accum} __mulha3 (short accum @var{a}, short accum @var{b}) 929@deftypefnx {Runtime Function} {accum} __mulsa3 (accum @var{a}, accum @var{b}) 930@deftypefnx {Runtime Function} {long accum} __mulda3 (long accum @var{a}, long accum @var{b}) 931@deftypefnx {Runtime Function} {long long accum} __multa3 (long long accum @var{a}, long long accum @var{b}) 932@deftypefnx {Runtime Function} {unsigned short accum} __muluha3 (unsigned short accum @var{a}, unsigned short accum @var{b}) 933@deftypefnx {Runtime Function} {unsigned accum} __mulusa3 (unsigned accum @var{a}, unsigned accum @var{b}) 934@deftypefnx {Runtime Function} {unsigned long accum} __muluda3 (unsigned long accum @var{a}, unsigned long accum @var{b}) 935@deftypefnx {Runtime Function} {unsigned long long accum} __muluta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b}) 936These functions return the product of @var{a} and @var{b}. 937@end deftypefn 938 939@deftypefn {Runtime Function} {short fract} __ssmulqq3 (short fract @var{a}, short fract @var{b}) 940@deftypefnx {Runtime Function} {fract} __ssmulhq3 (fract @var{a}, fract @var{b}) 941@deftypefnx {Runtime Function} {long fract} __ssmulsq3 (long fract @var{a}, long fract @var{b}) 942@deftypefnx {Runtime Function} {long long fract} __ssmuldq3 (long long fract @var{a}, long long fract @var{b}) 943@deftypefnx {Runtime Function} {short accum} __ssmulha3 (short accum @var{a}, short accum @var{b}) 944@deftypefnx {Runtime Function} {accum} __ssmulsa3 (accum @var{a}, accum @var{b}) 945@deftypefnx {Runtime Function} {long accum} __ssmulda3 (long accum @var{a}, long accum @var{b}) 946@deftypefnx {Runtime Function} {long long accum} __ssmulta3 (long long accum @var{a}, long long accum @var{b}) 947These functions return the product of @var{a} and @var{b} with signed 948saturation. 949@end deftypefn 950 951@deftypefn {Runtime Function} {unsigned short fract} __usmuluqq3 (unsigned short fract @var{a}, unsigned short fract @var{b}) 952@deftypefnx {Runtime Function} {unsigned fract} __usmuluhq3 (unsigned fract @var{a}, unsigned fract @var{b}) 953@deftypefnx {Runtime Function} {unsigned long fract} __usmulusq3 (unsigned long fract @var{a}, unsigned long fract @var{b}) 954@deftypefnx {Runtime Function} {unsigned long long fract} __usmuludq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b}) 955@deftypefnx {Runtime Function} {unsigned short accum} __usmuluha3 (unsigned short accum @var{a}, unsigned short accum @var{b}) 956@deftypefnx {Runtime Function} {unsigned accum} __usmulusa3 (unsigned accum @var{a}, unsigned accum @var{b}) 957@deftypefnx {Runtime Function} {unsigned long accum} __usmuluda3 (unsigned long accum @var{a}, unsigned long accum @var{b}) 958@deftypefnx {Runtime Function} {unsigned long long accum} __usmuluta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b}) 959These functions return the product of @var{a} and @var{b} with unsigned 960saturation. 961@end deftypefn 962 963@deftypefn {Runtime Function} {short fract} __divqq3 (short fract @var{a}, short fract @var{b}) 964@deftypefnx {Runtime Function} {fract} __divhq3 (fract @var{a}, fract @var{b}) 965@deftypefnx {Runtime Function} {long fract} __divsq3 (long fract @var{a}, long fract @var{b}) 966@deftypefnx {Runtime Function} {long long fract} __divdq3 (long long fract @var{a}, long long fract @var{b}) 967@deftypefnx {Runtime Function} {short accum} __divha3 (short accum @var{a}, short accum @var{b}) 968@deftypefnx {Runtime Function} {accum} __divsa3 (accum @var{a}, accum @var{b}) 969@deftypefnx {Runtime Function} {long accum} __divda3 (long accum @var{a}, long accum @var{b}) 970@deftypefnx {Runtime Function} {long long accum} __divta3 (long long accum @var{a}, long long accum @var{b}) 971These functions return the quotient of the signed division of @var{a} 972and @var{b}. 973@end deftypefn 974 975@deftypefn {Runtime Function} {unsigned short fract} __udivuqq3 (unsigned short fract @var{a}, unsigned short fract @var{b}) 976@deftypefnx {Runtime Function} {unsigned fract} __udivuhq3 (unsigned fract @var{a}, unsigned fract @var{b}) 977@deftypefnx {Runtime Function} {unsigned long fract} __udivusq3 (unsigned long fract @var{a}, unsigned long fract @var{b}) 978@deftypefnx {Runtime Function} {unsigned long long fract} __udivudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b}) 979@deftypefnx {Runtime Function} {unsigned short accum} __udivuha3 (unsigned short accum @var{a}, unsigned short accum @var{b}) 980@deftypefnx {Runtime Function} {unsigned accum} __udivusa3 (unsigned accum @var{a}, unsigned accum @var{b}) 981@deftypefnx {Runtime Function} {unsigned long accum} __udivuda3 (unsigned long accum @var{a}, unsigned long accum @var{b}) 982@deftypefnx {Runtime Function} {unsigned long long accum} __udivuta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b}) 983These functions return the quotient of the unsigned division of @var{a} 984and @var{b}. 985@end deftypefn 986 987@deftypefn {Runtime Function} {short fract} __ssdivqq3 (short fract @var{a}, short fract @var{b}) 988@deftypefnx {Runtime Function} {fract} __ssdivhq3 (fract @var{a}, fract @var{b}) 989@deftypefnx {Runtime Function} {long fract} __ssdivsq3 (long fract @var{a}, long fract @var{b}) 990@deftypefnx {Runtime Function} {long long fract} __ssdivdq3 (long long fract @var{a}, long long fract @var{b}) 991@deftypefnx {Runtime Function} {short accum} __ssdivha3 (short accum @var{a}, short accum @var{b}) 992@deftypefnx {Runtime Function} {accum} __ssdivsa3 (accum @var{a}, accum @var{b}) 993@deftypefnx {Runtime Function} {long accum} __ssdivda3 (long accum @var{a}, long accum @var{b}) 994@deftypefnx {Runtime Function} {long long accum} __ssdivta3 (long long accum @var{a}, long long accum @var{b}) 995These functions return the quotient of the signed division of @var{a} 996and @var{b} with signed saturation. 997@end deftypefn 998 999@deftypefn {Runtime Function} {unsigned short fract} __usdivuqq3 (unsigned short fract @var{a}, unsigned short fract @var{b}) 1000@deftypefnx {Runtime Function} {unsigned fract} __usdivuhq3 (unsigned fract @var{a}, unsigned fract @var{b}) 1001@deftypefnx {Runtime Function} {unsigned long fract} __usdivusq3 (unsigned long fract @var{a}, unsigned long fract @var{b}) 1002@deftypefnx {Runtime Function} {unsigned long long fract} __usdivudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b}) 1003@deftypefnx {Runtime Function} {unsigned short accum} __usdivuha3 (unsigned short accum @var{a}, unsigned short accum @var{b}) 1004@deftypefnx {Runtime Function} {unsigned accum} __usdivusa3 (unsigned accum @var{a}, unsigned accum @var{b}) 1005@deftypefnx {Runtime Function} {unsigned long accum} __usdivuda3 (unsigned long accum @var{a}, unsigned long accum @var{b}) 1006@deftypefnx {Runtime Function} {unsigned long long accum} __usdivuta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b}) 1007These functions return the quotient of the unsigned division of @var{a} 1008and @var{b} with unsigned saturation. 1009@end deftypefn 1010 1011@deftypefn {Runtime Function} {short fract} __negqq2 (short fract @var{a}) 1012@deftypefnx {Runtime Function} {fract} __neghq2 (fract @var{a}) 1013@deftypefnx {Runtime Function} {long fract} __negsq2 (long fract @var{a}) 1014@deftypefnx {Runtime Function} {long long fract} __negdq2 (long long fract @var{a}) 1015@deftypefnx {Runtime Function} {unsigned short fract} __neguqq2 (unsigned short fract @var{a}) 1016@deftypefnx {Runtime Function} {unsigned fract} __neguhq2 (unsigned fract @var{a}) 1017@deftypefnx {Runtime Function} {unsigned long fract} __negusq2 (unsigned long fract @var{a}) 1018@deftypefnx {Runtime Function} {unsigned long long fract} __negudq2 (unsigned long long fract @var{a}) 1019@deftypefnx {Runtime Function} {short accum} __negha2 (short accum @var{a}) 1020@deftypefnx {Runtime Function} {accum} __negsa2 (accum @var{a}) 1021@deftypefnx {Runtime Function} {long accum} __negda2 (long accum @var{a}) 1022@deftypefnx {Runtime Function} {long long accum} __negta2 (long long accum @var{a}) 1023@deftypefnx {Runtime Function} {unsigned short accum} __neguha2 (unsigned short accum @var{a}) 1024@deftypefnx {Runtime Function} {unsigned accum} __negusa2 (unsigned accum @var{a}) 1025@deftypefnx {Runtime Function} {unsigned long accum} __neguda2 (unsigned long accum @var{a}) 1026@deftypefnx {Runtime Function} {unsigned long long accum} __neguta2 (unsigned long long accum @var{a}) 1027These functions return the negation of @var{a}. 1028@end deftypefn 1029 1030@deftypefn {Runtime Function} {short fract} __ssnegqq2 (short fract @var{a}) 1031@deftypefnx {Runtime Function} {fract} __ssneghq2 (fract @var{a}) 1032@deftypefnx {Runtime Function} {long fract} __ssnegsq2 (long fract @var{a}) 1033@deftypefnx {Runtime Function} {long long fract} __ssnegdq2 (long long fract @var{a}) 1034@deftypefnx {Runtime Function} {short accum} __ssnegha2 (short accum @var{a}) 1035@deftypefnx {Runtime Function} {accum} __ssnegsa2 (accum @var{a}) 1036@deftypefnx {Runtime Function} {long accum} __ssnegda2 (long accum @var{a}) 1037@deftypefnx {Runtime Function} {long long accum} __ssnegta2 (long long accum @var{a}) 1038These functions return the negation of @var{a} with signed saturation. 1039@end deftypefn 1040 1041@deftypefn {Runtime Function} {unsigned short fract} __usneguqq2 (unsigned short fract @var{a}) 1042@deftypefnx {Runtime Function} {unsigned fract} __usneguhq2 (unsigned fract @var{a}) 1043@deftypefnx {Runtime Function} {unsigned long fract} __usnegusq2 (unsigned long fract @var{a}) 1044@deftypefnx {Runtime Function} {unsigned long long fract} __usnegudq2 (unsigned long long fract @var{a}) 1045@deftypefnx {Runtime Function} {unsigned short accum} __usneguha2 (unsigned short accum @var{a}) 1046@deftypefnx {Runtime Function} {unsigned accum} __usnegusa2 (unsigned accum @var{a}) 1047@deftypefnx {Runtime Function} {unsigned long accum} __usneguda2 (unsigned long accum @var{a}) 1048@deftypefnx {Runtime Function} {unsigned long long accum} __usneguta2 (unsigned long long accum @var{a}) 1049These functions return the negation of @var{a} with unsigned saturation. 1050@end deftypefn 1051 1052@deftypefn {Runtime Function} {short fract} __ashlqq3 (short fract @var{a}, int @var{b}) 1053@deftypefnx {Runtime Function} {fract} __ashlhq3 (fract @var{a}, int @var{b}) 1054@deftypefnx {Runtime Function} {long fract} __ashlsq3 (long fract @var{a}, int @var{b}) 1055@deftypefnx {Runtime Function} {long long fract} __ashldq3 (long long fract @var{a}, int @var{b}) 1056@deftypefnx {Runtime Function} {unsigned short fract} __ashluqq3 (unsigned short fract @var{a}, int @var{b}) 1057@deftypefnx {Runtime Function} {unsigned fract} __ashluhq3 (unsigned fract @var{a}, int @var{b}) 1058@deftypefnx {Runtime Function} {unsigned long fract} __ashlusq3 (unsigned long fract @var{a}, int @var{b}) 1059@deftypefnx {Runtime Function} {unsigned long long fract} __ashludq3 (unsigned long long fract @var{a}, int @var{b}) 1060@deftypefnx {Runtime Function} {short accum} __ashlha3 (short accum @var{a}, int @var{b}) 1061@deftypefnx {Runtime Function} {accum} __ashlsa3 (accum @var{a}, int @var{b}) 1062@deftypefnx {Runtime Function} {long accum} __ashlda3 (long accum @var{a}, int @var{b}) 1063@deftypefnx {Runtime Function} {long long accum} __ashlta3 (long long accum @var{a}, int @var{b}) 1064@deftypefnx {Runtime Function} {unsigned short accum} __ashluha3 (unsigned short accum @var{a}, int @var{b}) 1065@deftypefnx {Runtime Function} {unsigned accum} __ashlusa3 (unsigned accum @var{a}, int @var{b}) 1066@deftypefnx {Runtime Function} {unsigned long accum} __ashluda3 (unsigned long accum @var{a}, int @var{b}) 1067@deftypefnx {Runtime Function} {unsigned long long accum} __ashluta3 (unsigned long long accum @var{a}, int @var{b}) 1068These functions return the result of shifting @var{a} left by @var{b} bits. 1069@end deftypefn 1070 1071@deftypefn {Runtime Function} {short fract} __ashrqq3 (short fract @var{a}, int @var{b}) 1072@deftypefnx {Runtime Function} {fract} __ashrhq3 (fract @var{a}, int @var{b}) 1073@deftypefnx {Runtime Function} {long fract} __ashrsq3 (long fract @var{a}, int @var{b}) 1074@deftypefnx {Runtime Function} {long long fract} __ashrdq3 (long long fract @var{a}, int @var{b}) 1075@deftypefnx {Runtime Function} {short accum} __ashrha3 (short accum @var{a}, int @var{b}) 1076@deftypefnx {Runtime Function} {accum} __ashrsa3 (accum @var{a}, int @var{b}) 1077@deftypefnx {Runtime Function} {long accum} __ashrda3 (long accum @var{a}, int @var{b}) 1078@deftypefnx {Runtime Function} {long long accum} __ashrta3 (long long accum @var{a}, int @var{b}) 1079These functions return the result of arithmetically shifting @var{a} right 1080by @var{b} bits. 1081@end deftypefn 1082 1083@deftypefn {Runtime Function} {unsigned short fract} __lshruqq3 (unsigned short fract @var{a}, int @var{b}) 1084@deftypefnx {Runtime Function} {unsigned fract} __lshruhq3 (unsigned fract @var{a}, int @var{b}) 1085@deftypefnx {Runtime Function} {unsigned long fract} __lshrusq3 (unsigned long fract @var{a}, int @var{b}) 1086@deftypefnx {Runtime Function} {unsigned long long fract} __lshrudq3 (unsigned long long fract @var{a}, int @var{b}) 1087@deftypefnx {Runtime Function} {unsigned short accum} __lshruha3 (unsigned short accum @var{a}, int @var{b}) 1088@deftypefnx {Runtime Function} {unsigned accum} __lshrusa3 (unsigned accum @var{a}, int @var{b}) 1089@deftypefnx {Runtime Function} {unsigned long accum} __lshruda3 (unsigned long accum @var{a}, int @var{b}) 1090@deftypefnx {Runtime Function} {unsigned long long accum} __lshruta3 (unsigned long long accum @var{a}, int @var{b}) 1091These functions return the result of logically shifting @var{a} right 1092by @var{b} bits. 1093@end deftypefn 1094 1095@deftypefn {Runtime Function} {fract} __ssashlhq3 (fract @var{a}, int @var{b}) 1096@deftypefnx {Runtime Function} {long fract} __ssashlsq3 (long fract @var{a}, int @var{b}) 1097@deftypefnx {Runtime Function} {long long fract} __ssashldq3 (long long fract @var{a}, int @var{b}) 1098@deftypefnx {Runtime Function} {short accum} __ssashlha3 (short accum @var{a}, int @var{b}) 1099@deftypefnx {Runtime Function} {accum} __ssashlsa3 (accum @var{a}, int @var{b}) 1100@deftypefnx {Runtime Function} {long accum} __ssashlda3 (long accum @var{a}, int @var{b}) 1101@deftypefnx {Runtime Function} {long long accum} __ssashlta3 (long long accum @var{a}, int @var{b}) 1102These functions return the result of shifting @var{a} left by @var{b} bits 1103with signed saturation. 1104@end deftypefn 1105 1106@deftypefn {Runtime Function} {unsigned short fract} __usashluqq3 (unsigned short fract @var{a}, int @var{b}) 1107@deftypefnx {Runtime Function} {unsigned fract} __usashluhq3 (unsigned fract @var{a}, int @var{b}) 1108@deftypefnx {Runtime Function} {unsigned long fract} __usashlusq3 (unsigned long fract @var{a}, int @var{b}) 1109@deftypefnx {Runtime Function} {unsigned long long fract} __usashludq3 (unsigned long long fract @var{a}, int @var{b}) 1110@deftypefnx {Runtime Function} {unsigned short accum} __usashluha3 (unsigned short accum @var{a}, int @var{b}) 1111@deftypefnx {Runtime Function} {unsigned accum} __usashlusa3 (unsigned accum @var{a}, int @var{b}) 1112@deftypefnx {Runtime Function} {unsigned long accum} __usashluda3 (unsigned long accum @var{a}, int @var{b}) 1113@deftypefnx {Runtime Function} {unsigned long long accum} __usashluta3 (unsigned long long accum @var{a}, int @var{b}) 1114These functions return the result of shifting @var{a} left by @var{b} bits 1115with unsigned saturation. 1116@end deftypefn 1117 1118@subsection Comparison functions 1119 1120The following functions implement fixed-point comparisons. These functions 1121implement a low-level compare, upon which the higher level comparison 1122operators (such as less than and greater than or equal to) can be 1123constructed. The returned values lie in the range zero to two, to allow 1124the high-level operators to be implemented by testing the returned 1125result using either signed or unsigned comparison. 1126 1127@deftypefn {Runtime Function} {int} __cmpqq2 (short fract @var{a}, short fract @var{b}) 1128@deftypefnx {Runtime Function} {int} __cmphq2 (fract @var{a}, fract @var{b}) 1129@deftypefnx {Runtime Function} {int} __cmpsq2 (long fract @var{a}, long fract @var{b}) 1130@deftypefnx {Runtime Function} {int} __cmpdq2 (long long fract @var{a}, long long fract @var{b}) 1131@deftypefnx {Runtime Function} {int} __cmpuqq2 (unsigned short fract @var{a}, unsigned short fract @var{b}) 1132@deftypefnx {Runtime Function} {int} __cmpuhq2 (unsigned fract @var{a}, unsigned fract @var{b}) 1133@deftypefnx {Runtime Function} {int} __cmpusq2 (unsigned long fract @var{a}, unsigned long fract @var{b}) 1134@deftypefnx {Runtime Function} {int} __cmpudq2 (unsigned long long fract @var{a}, unsigned long long fract @var{b}) 1135@deftypefnx {Runtime Function} {int} __cmpha2 (short accum @var{a}, short accum @var{b}) 1136@deftypefnx {Runtime Function} {int} __cmpsa2 (accum @var{a}, accum @var{b}) 1137@deftypefnx {Runtime Function} {int} __cmpda2 (long accum @var{a}, long accum @var{b}) 1138@deftypefnx {Runtime Function} {int} __cmpta2 (long long accum @var{a}, long long accum @var{b}) 1139@deftypefnx {Runtime Function} {int} __cmpuha2 (unsigned short accum @var{a}, unsigned short accum @var{b}) 1140@deftypefnx {Runtime Function} {int} __cmpusa2 (unsigned accum @var{a}, unsigned accum @var{b}) 1141@deftypefnx {Runtime Function} {int} __cmpuda2 (unsigned long accum @var{a}, unsigned long accum @var{b}) 1142@deftypefnx {Runtime Function} {int} __cmputa2 (unsigned long long accum @var{a}, unsigned long long accum @var{b}) 1143These functions perform a signed or unsigned comparison of @var{a} and 1144@var{b} (depending on the selected machine mode). If @var{a} is less 1145than @var{b}, they return 0; if @var{a} is greater than @var{b}, they 1146return 2; and if @var{a} and @var{b} are equal they return 1. 1147@end deftypefn 1148 1149@subsection Conversion functions 1150 1151@deftypefn {Runtime Function} {fract} __fractqqhq2 (short fract @var{a}) 1152@deftypefnx {Runtime Function} {long fract} __fractqqsq2 (short fract @var{a}) 1153@deftypefnx {Runtime Function} {long long fract} __fractqqdq2 (short fract @var{a}) 1154@deftypefnx {Runtime Function} {short accum} __fractqqha (short fract @var{a}) 1155@deftypefnx {Runtime Function} {accum} __fractqqsa (short fract @var{a}) 1156@deftypefnx {Runtime Function} {long accum} __fractqqda (short fract @var{a}) 1157@deftypefnx {Runtime Function} {long long accum} __fractqqta (short fract @var{a}) 1158@deftypefnx {Runtime Function} {unsigned short fract} __fractqquqq (short fract @var{a}) 1159@deftypefnx {Runtime Function} {unsigned fract} __fractqquhq (short fract @var{a}) 1160@deftypefnx {Runtime Function} {unsigned long fract} __fractqqusq (short fract @var{a}) 1161@deftypefnx {Runtime Function} {unsigned long long fract} __fractqqudq (short fract @var{a}) 1162@deftypefnx {Runtime Function} {unsigned short accum} __fractqquha (short fract @var{a}) 1163@deftypefnx {Runtime Function} {unsigned accum} __fractqqusa (short fract @var{a}) 1164@deftypefnx {Runtime Function} {unsigned long accum} __fractqquda (short fract @var{a}) 1165@deftypefnx {Runtime Function} {unsigned long long accum} __fractqquta (short fract @var{a}) 1166@deftypefnx {Runtime Function} {signed char} __fractqqqi (short fract @var{a}) 1167@deftypefnx {Runtime Function} {short} __fractqqhi (short fract @var{a}) 1168@deftypefnx {Runtime Function} {int} __fractqqsi (short fract @var{a}) 1169@deftypefnx {Runtime Function} {long} __fractqqdi (short fract @var{a}) 1170@deftypefnx {Runtime Function} {long long} __fractqqti (short fract @var{a}) 1171@deftypefnx {Runtime Function} {float} __fractqqsf (short fract @var{a}) 1172@deftypefnx {Runtime Function} {double} __fractqqdf (short fract @var{a}) 1173@deftypefnx {Runtime Function} {short fract} __fracthqqq2 (fract @var{a}) 1174@deftypefnx {Runtime Function} {long fract} __fracthqsq2 (fract @var{a}) 1175@deftypefnx {Runtime Function} {long long fract} __fracthqdq2 (fract @var{a}) 1176@deftypefnx {Runtime Function} {short accum} __fracthqha (fract @var{a}) 1177@deftypefnx {Runtime Function} {accum} __fracthqsa (fract @var{a}) 1178@deftypefnx {Runtime Function} {long accum} __fracthqda (fract @var{a}) 1179@deftypefnx {Runtime Function} {long long accum} __fracthqta (fract @var{a}) 1180@deftypefnx {Runtime Function} {unsigned short fract} __fracthquqq (fract @var{a}) 1181@deftypefnx {Runtime Function} {unsigned fract} __fracthquhq (fract @var{a}) 1182@deftypefnx {Runtime Function} {unsigned long fract} __fracthqusq (fract @var{a}) 1183@deftypefnx {Runtime Function} {unsigned long long fract} __fracthqudq (fract @var{a}) 1184@deftypefnx {Runtime Function} {unsigned short accum} __fracthquha (fract @var{a}) 1185@deftypefnx {Runtime Function} {unsigned accum} __fracthqusa (fract @var{a}) 1186@deftypefnx {Runtime Function} {unsigned long accum} __fracthquda (fract @var{a}) 1187@deftypefnx {Runtime Function} {unsigned long long accum} __fracthquta (fract @var{a}) 1188@deftypefnx {Runtime Function} {signed char} __fracthqqi (fract @var{a}) 1189@deftypefnx {Runtime Function} {short} __fracthqhi (fract @var{a}) 1190@deftypefnx {Runtime Function} {int} __fracthqsi (fract @var{a}) 1191@deftypefnx {Runtime Function} {long} __fracthqdi (fract @var{a}) 1192@deftypefnx {Runtime Function} {long long} __fracthqti (fract @var{a}) 1193@deftypefnx {Runtime Function} {float} __fracthqsf (fract @var{a}) 1194@deftypefnx {Runtime Function} {double} __fracthqdf (fract @var{a}) 1195@deftypefnx {Runtime Function} {short fract} __fractsqqq2 (long fract @var{a}) 1196@deftypefnx {Runtime Function} {fract} __fractsqhq2 (long fract @var{a}) 1197@deftypefnx {Runtime Function} {long long fract} __fractsqdq2 (long fract @var{a}) 1198@deftypefnx {Runtime Function} {short accum} __fractsqha (long fract @var{a}) 1199@deftypefnx {Runtime Function} {accum} __fractsqsa (long fract @var{a}) 1200@deftypefnx {Runtime Function} {long accum} __fractsqda (long fract @var{a}) 1201@deftypefnx {Runtime Function} {long long accum} __fractsqta (long fract @var{a}) 1202@deftypefnx {Runtime Function} {unsigned short fract} __fractsquqq (long fract @var{a}) 1203@deftypefnx {Runtime Function} {unsigned fract} __fractsquhq (long fract @var{a}) 1204@deftypefnx {Runtime Function} {unsigned long fract} __fractsqusq (long fract @var{a}) 1205@deftypefnx {Runtime Function} {unsigned long long fract} __fractsqudq (long fract @var{a}) 1206@deftypefnx {Runtime Function} {unsigned short accum} __fractsquha (long fract @var{a}) 1207@deftypefnx {Runtime Function} {unsigned accum} __fractsqusa (long fract @var{a}) 1208@deftypefnx {Runtime Function} {unsigned long accum} __fractsquda (long fract @var{a}) 1209@deftypefnx {Runtime Function} {unsigned long long accum} __fractsquta (long fract @var{a}) 1210@deftypefnx {Runtime Function} {signed char} __fractsqqi (long fract @var{a}) 1211@deftypefnx {Runtime Function} {short} __fractsqhi (long fract @var{a}) 1212@deftypefnx {Runtime Function} {int} __fractsqsi (long fract @var{a}) 1213@deftypefnx {Runtime Function} {long} __fractsqdi (long fract @var{a}) 1214@deftypefnx {Runtime Function} {long long} __fractsqti (long fract @var{a}) 1215@deftypefnx {Runtime Function} {float} __fractsqsf (long fract @var{a}) 1216@deftypefnx {Runtime Function} {double} __fractsqdf (long fract @var{a}) 1217@deftypefnx {Runtime Function} {short fract} __fractdqqq2 (long long fract @var{a}) 1218@deftypefnx {Runtime Function} {fract} __fractdqhq2 (long long fract @var{a}) 1219@deftypefnx {Runtime Function} {long fract} __fractdqsq2 (long long fract @var{a}) 1220@deftypefnx {Runtime Function} {short accum} __fractdqha (long long fract @var{a}) 1221@deftypefnx {Runtime Function} {accum} __fractdqsa (long long fract @var{a}) 1222@deftypefnx {Runtime Function} {long accum} __fractdqda (long long fract @var{a}) 1223@deftypefnx {Runtime Function} {long long accum} __fractdqta (long long fract @var{a}) 1224@deftypefnx {Runtime Function} {unsigned short fract} __fractdquqq (long long fract @var{a}) 1225@deftypefnx {Runtime Function} {unsigned fract} __fractdquhq (long long fract @var{a}) 1226@deftypefnx {Runtime Function} {unsigned long fract} __fractdqusq (long long fract @var{a}) 1227@deftypefnx {Runtime Function} {unsigned long long fract} __fractdqudq (long long fract @var{a}) 1228@deftypefnx {Runtime Function} {unsigned short accum} __fractdquha (long long fract @var{a}) 1229@deftypefnx {Runtime Function} {unsigned accum} __fractdqusa (long long fract @var{a}) 1230@deftypefnx {Runtime Function} {unsigned long accum} __fractdquda (long long fract @var{a}) 1231@deftypefnx {Runtime Function} {unsigned long long accum} __fractdquta (long long fract @var{a}) 1232@deftypefnx {Runtime Function} {signed char} __fractdqqi (long long fract @var{a}) 1233@deftypefnx {Runtime Function} {short} __fractdqhi (long long fract @var{a}) 1234@deftypefnx {Runtime Function} {int} __fractdqsi (long long fract @var{a}) 1235@deftypefnx {Runtime Function} {long} __fractdqdi (long long fract @var{a}) 1236@deftypefnx {Runtime Function} {long long} __fractdqti (long long fract @var{a}) 1237@deftypefnx {Runtime Function} {float} __fractdqsf (long long fract @var{a}) 1238@deftypefnx {Runtime Function} {double} __fractdqdf (long long fract @var{a}) 1239@deftypefnx {Runtime Function} {short fract} __fracthaqq (short accum @var{a}) 1240@deftypefnx {Runtime Function} {fract} __fracthahq (short accum @var{a}) 1241@deftypefnx {Runtime Function} {long fract} __fracthasq (short accum @var{a}) 1242@deftypefnx {Runtime Function} {long long fract} __fracthadq (short accum @var{a}) 1243@deftypefnx {Runtime Function} {accum} __fracthasa2 (short accum @var{a}) 1244@deftypefnx {Runtime Function} {long accum} __fracthada2 (short accum @var{a}) 1245@deftypefnx {Runtime Function} {long long accum} __fracthata2 (short accum @var{a}) 1246@deftypefnx {Runtime Function} {unsigned short fract} __fracthauqq (short accum @var{a}) 1247@deftypefnx {Runtime Function} {unsigned fract} __fracthauhq (short accum @var{a}) 1248@deftypefnx {Runtime Function} {unsigned long fract} __fracthausq (short accum @var{a}) 1249@deftypefnx {Runtime Function} {unsigned long long fract} __fracthaudq (short accum @var{a}) 1250@deftypefnx {Runtime Function} {unsigned short accum} __fracthauha (short accum @var{a}) 1251@deftypefnx {Runtime Function} {unsigned accum} __fracthausa (short accum @var{a}) 1252@deftypefnx {Runtime Function} {unsigned long accum} __fracthauda (short accum @var{a}) 1253@deftypefnx {Runtime Function} {unsigned long long accum} __fracthauta (short accum @var{a}) 1254@deftypefnx {Runtime Function} {signed char} __fracthaqi (short accum @var{a}) 1255@deftypefnx {Runtime Function} {short} __fracthahi (short accum @var{a}) 1256@deftypefnx {Runtime Function} {int} __fracthasi (short accum @var{a}) 1257@deftypefnx {Runtime Function} {long} __fracthadi (short accum @var{a}) 1258@deftypefnx {Runtime Function} {long long} __fracthati (short accum @var{a}) 1259@deftypefnx {Runtime Function} {float} __fracthasf (short accum @var{a}) 1260@deftypefnx {Runtime Function} {double} __fracthadf (short accum @var{a}) 1261@deftypefnx {Runtime Function} {short fract} __fractsaqq (accum @var{a}) 1262@deftypefnx {Runtime Function} {fract} __fractsahq (accum @var{a}) 1263@deftypefnx {Runtime Function} {long fract} __fractsasq (accum @var{a}) 1264@deftypefnx {Runtime Function} {long long fract} __fractsadq (accum @var{a}) 1265@deftypefnx {Runtime Function} {short accum} __fractsaha2 (accum @var{a}) 1266@deftypefnx {Runtime Function} {long accum} __fractsada2 (accum @var{a}) 1267@deftypefnx {Runtime Function} {long long accum} __fractsata2 (accum @var{a}) 1268@deftypefnx {Runtime Function} {unsigned short fract} __fractsauqq (accum @var{a}) 1269@deftypefnx {Runtime Function} {unsigned fract} __fractsauhq (accum @var{a}) 1270@deftypefnx {Runtime Function} {unsigned long fract} __fractsausq (accum @var{a}) 1271@deftypefnx {Runtime Function} {unsigned long long fract} __fractsaudq (accum @var{a}) 1272@deftypefnx {Runtime Function} {unsigned short accum} __fractsauha (accum @var{a}) 1273@deftypefnx {Runtime Function} {unsigned accum} __fractsausa (accum @var{a}) 1274@deftypefnx {Runtime Function} {unsigned long accum} __fractsauda (accum @var{a}) 1275@deftypefnx {Runtime Function} {unsigned long long accum} __fractsauta (accum @var{a}) 1276@deftypefnx {Runtime Function} {signed char} __fractsaqi (accum @var{a}) 1277@deftypefnx {Runtime Function} {short} __fractsahi (accum @var{a}) 1278@deftypefnx {Runtime Function} {int} __fractsasi (accum @var{a}) 1279@deftypefnx {Runtime Function} {long} __fractsadi (accum @var{a}) 1280@deftypefnx {Runtime Function} {long long} __fractsati (accum @var{a}) 1281@deftypefnx {Runtime Function} {float} __fractsasf (accum @var{a}) 1282@deftypefnx {Runtime Function} {double} __fractsadf (accum @var{a}) 1283@deftypefnx {Runtime Function} {short fract} __fractdaqq (long accum @var{a}) 1284@deftypefnx {Runtime Function} {fract} __fractdahq (long accum @var{a}) 1285@deftypefnx {Runtime Function} {long fract} __fractdasq (long accum @var{a}) 1286@deftypefnx {Runtime Function} {long long fract} __fractdadq (long accum @var{a}) 1287@deftypefnx {Runtime Function} {short accum} __fractdaha2 (long accum @var{a}) 1288@deftypefnx {Runtime Function} {accum} __fractdasa2 (long accum @var{a}) 1289@deftypefnx {Runtime Function} {long long accum} __fractdata2 (long accum @var{a}) 1290@deftypefnx {Runtime Function} {unsigned short fract} __fractdauqq (long accum @var{a}) 1291@deftypefnx {Runtime Function} {unsigned fract} __fractdauhq (long accum @var{a}) 1292@deftypefnx {Runtime Function} {unsigned long fract} __fractdausq (long accum @var{a}) 1293@deftypefnx {Runtime Function} {unsigned long long fract} __fractdaudq (long accum @var{a}) 1294@deftypefnx {Runtime Function} {unsigned short accum} __fractdauha (long accum @var{a}) 1295@deftypefnx {Runtime Function} {unsigned accum} __fractdausa (long accum @var{a}) 1296@deftypefnx {Runtime Function} {unsigned long accum} __fractdauda (long accum @var{a}) 1297@deftypefnx {Runtime Function} {unsigned long long accum} __fractdauta (long accum @var{a}) 1298@deftypefnx {Runtime Function} {signed char} __fractdaqi (long accum @var{a}) 1299@deftypefnx {Runtime Function} {short} __fractdahi (long accum @var{a}) 1300@deftypefnx {Runtime Function} {int} __fractdasi (long accum @var{a}) 1301@deftypefnx {Runtime Function} {long} __fractdadi (long accum @var{a}) 1302@deftypefnx {Runtime Function} {long long} __fractdati (long accum @var{a}) 1303@deftypefnx {Runtime Function} {float} __fractdasf (long accum @var{a}) 1304@deftypefnx {Runtime Function} {double} __fractdadf (long accum @var{a}) 1305@deftypefnx {Runtime Function} {short fract} __fracttaqq (long long accum @var{a}) 1306@deftypefnx {Runtime Function} {fract} __fracttahq (long long accum @var{a}) 1307@deftypefnx {Runtime Function} {long fract} __fracttasq (long long accum @var{a}) 1308@deftypefnx {Runtime Function} {long long fract} __fracttadq (long long accum @var{a}) 1309@deftypefnx {Runtime Function} {short accum} __fracttaha2 (long long accum @var{a}) 1310@deftypefnx {Runtime Function} {accum} __fracttasa2 (long long accum @var{a}) 1311@deftypefnx {Runtime Function} {long accum} __fracttada2 (long long accum @var{a}) 1312@deftypefnx {Runtime Function} {unsigned short fract} __fracttauqq (long long accum @var{a}) 1313@deftypefnx {Runtime Function} {unsigned fract} __fracttauhq (long long accum @var{a}) 1314@deftypefnx {Runtime Function} {unsigned long fract} __fracttausq (long long accum @var{a}) 1315@deftypefnx {Runtime Function} {unsigned long long fract} __fracttaudq (long long accum @var{a}) 1316@deftypefnx {Runtime Function} {unsigned short accum} __fracttauha (long long accum @var{a}) 1317@deftypefnx {Runtime Function} {unsigned accum} __fracttausa (long long accum @var{a}) 1318@deftypefnx {Runtime Function} {unsigned long accum} __fracttauda (long long accum @var{a}) 1319@deftypefnx {Runtime Function} {unsigned long long accum} __fracttauta (long long accum @var{a}) 1320@deftypefnx {Runtime Function} {signed char} __fracttaqi (long long accum @var{a}) 1321@deftypefnx {Runtime Function} {short} __fracttahi (long long accum @var{a}) 1322@deftypefnx {Runtime Function} {int} __fracttasi (long long accum @var{a}) 1323@deftypefnx {Runtime Function} {long} __fracttadi (long long accum @var{a}) 1324@deftypefnx {Runtime Function} {long long} __fracttati (long long accum @var{a}) 1325@deftypefnx {Runtime Function} {float} __fracttasf (long long accum @var{a}) 1326@deftypefnx {Runtime Function} {double} __fracttadf (long long accum @var{a}) 1327@deftypefnx {Runtime Function} {short fract} __fractuqqqq (unsigned short fract @var{a}) 1328@deftypefnx {Runtime Function} {fract} __fractuqqhq (unsigned short fract @var{a}) 1329@deftypefnx {Runtime Function} {long fract} __fractuqqsq (unsigned short fract @var{a}) 1330@deftypefnx {Runtime Function} {long long fract} __fractuqqdq (unsigned short fract @var{a}) 1331@deftypefnx {Runtime Function} {short accum} __fractuqqha (unsigned short fract @var{a}) 1332@deftypefnx {Runtime Function} {accum} __fractuqqsa (unsigned short fract @var{a}) 1333@deftypefnx {Runtime Function} {long accum} __fractuqqda (unsigned short fract @var{a}) 1334@deftypefnx {Runtime Function} {long long accum} __fractuqqta (unsigned short fract @var{a}) 1335@deftypefnx {Runtime Function} {unsigned fract} __fractuqquhq2 (unsigned short fract @var{a}) 1336@deftypefnx {Runtime Function} {unsigned long fract} __fractuqqusq2 (unsigned short fract @var{a}) 1337@deftypefnx {Runtime Function} {unsigned long long fract} __fractuqqudq2 (unsigned short fract @var{a}) 1338@deftypefnx {Runtime Function} {unsigned short accum} __fractuqquha (unsigned short fract @var{a}) 1339@deftypefnx {Runtime Function} {unsigned accum} __fractuqqusa (unsigned short fract @var{a}) 1340@deftypefnx {Runtime Function} {unsigned long accum} __fractuqquda (unsigned short fract @var{a}) 1341@deftypefnx {Runtime Function} {unsigned long long accum} __fractuqquta (unsigned short fract @var{a}) 1342@deftypefnx {Runtime Function} {signed char} __fractuqqqi (unsigned short fract @var{a}) 1343@deftypefnx {Runtime Function} {short} __fractuqqhi (unsigned short fract @var{a}) 1344@deftypefnx {Runtime Function} {int} __fractuqqsi (unsigned short fract @var{a}) 1345@deftypefnx {Runtime Function} {long} __fractuqqdi (unsigned short fract @var{a}) 1346@deftypefnx {Runtime Function} {long long} __fractuqqti (unsigned short fract @var{a}) 1347@deftypefnx {Runtime Function} {float} __fractuqqsf (unsigned short fract @var{a}) 1348@deftypefnx {Runtime Function} {double} __fractuqqdf (unsigned short fract @var{a}) 1349@deftypefnx {Runtime Function} {short fract} __fractuhqqq (unsigned fract @var{a}) 1350@deftypefnx {Runtime Function} {fract} __fractuhqhq (unsigned fract @var{a}) 1351@deftypefnx {Runtime Function} {long fract} __fractuhqsq (unsigned fract @var{a}) 1352@deftypefnx {Runtime Function} {long long fract} __fractuhqdq (unsigned fract @var{a}) 1353@deftypefnx {Runtime Function} {short accum} __fractuhqha (unsigned fract @var{a}) 1354@deftypefnx {Runtime Function} {accum} __fractuhqsa (unsigned fract @var{a}) 1355@deftypefnx {Runtime Function} {long accum} __fractuhqda (unsigned fract @var{a}) 1356@deftypefnx {Runtime Function} {long long accum} __fractuhqta (unsigned fract @var{a}) 1357@deftypefnx {Runtime Function} {unsigned short fract} __fractuhquqq2 (unsigned fract @var{a}) 1358@deftypefnx {Runtime Function} {unsigned long fract} __fractuhqusq2 (unsigned fract @var{a}) 1359@deftypefnx {Runtime Function} {unsigned long long fract} __fractuhqudq2 (unsigned fract @var{a}) 1360@deftypefnx {Runtime Function} {unsigned short accum} __fractuhquha (unsigned fract @var{a}) 1361@deftypefnx {Runtime Function} {unsigned accum} __fractuhqusa (unsigned fract @var{a}) 1362@deftypefnx {Runtime Function} {unsigned long accum} __fractuhquda (unsigned fract @var{a}) 1363@deftypefnx {Runtime Function} {unsigned long long accum} __fractuhquta (unsigned fract @var{a}) 1364@deftypefnx {Runtime Function} {signed char} __fractuhqqi (unsigned fract @var{a}) 1365@deftypefnx {Runtime Function} {short} __fractuhqhi (unsigned fract @var{a}) 1366@deftypefnx {Runtime Function} {int} __fractuhqsi (unsigned fract @var{a}) 1367@deftypefnx {Runtime Function} {long} __fractuhqdi (unsigned fract @var{a}) 1368@deftypefnx {Runtime Function} {long long} __fractuhqti (unsigned fract @var{a}) 1369@deftypefnx {Runtime Function} {float} __fractuhqsf (unsigned fract @var{a}) 1370@deftypefnx {Runtime Function} {double} __fractuhqdf (unsigned fract @var{a}) 1371@deftypefnx {Runtime Function} {short fract} __fractusqqq (unsigned long fract @var{a}) 1372@deftypefnx {Runtime Function} {fract} __fractusqhq (unsigned long fract @var{a}) 1373@deftypefnx {Runtime Function} {long fract} __fractusqsq (unsigned long fract @var{a}) 1374@deftypefnx {Runtime Function} {long long fract} __fractusqdq (unsigned long fract @var{a}) 1375@deftypefnx {Runtime Function} {short accum} __fractusqha (unsigned long fract @var{a}) 1376@deftypefnx {Runtime Function} {accum} __fractusqsa (unsigned long fract @var{a}) 1377@deftypefnx {Runtime Function} {long accum} __fractusqda (unsigned long fract @var{a}) 1378@deftypefnx {Runtime Function} {long long accum} __fractusqta (unsigned long fract @var{a}) 1379@deftypefnx {Runtime Function} {unsigned short fract} __fractusquqq2 (unsigned long fract @var{a}) 1380@deftypefnx {Runtime Function} {unsigned fract} __fractusquhq2 (unsigned long fract @var{a}) 1381@deftypefnx {Runtime Function} {unsigned long long fract} __fractusqudq2 (unsigned long fract @var{a}) 1382@deftypefnx {Runtime Function} {unsigned short accum} __fractusquha (unsigned long fract @var{a}) 1383@deftypefnx {Runtime Function} {unsigned accum} __fractusqusa (unsigned long fract @var{a}) 1384@deftypefnx {Runtime Function} {unsigned long accum} __fractusquda (unsigned long fract @var{a}) 1385@deftypefnx {Runtime Function} {unsigned long long accum} __fractusquta (unsigned long fract @var{a}) 1386@deftypefnx {Runtime Function} {signed char} __fractusqqi (unsigned long fract @var{a}) 1387@deftypefnx {Runtime Function} {short} __fractusqhi (unsigned long fract @var{a}) 1388@deftypefnx {Runtime Function} {int} __fractusqsi (unsigned long fract @var{a}) 1389@deftypefnx {Runtime Function} {long} __fractusqdi (unsigned long fract @var{a}) 1390@deftypefnx {Runtime Function} {long long} __fractusqti (unsigned long fract @var{a}) 1391@deftypefnx {Runtime Function} {float} __fractusqsf (unsigned long fract @var{a}) 1392@deftypefnx {Runtime Function} {double} __fractusqdf (unsigned long fract @var{a}) 1393@deftypefnx {Runtime Function} {short fract} __fractudqqq (unsigned long long fract @var{a}) 1394@deftypefnx {Runtime Function} {fract} __fractudqhq (unsigned long long fract @var{a}) 1395@deftypefnx {Runtime Function} {long fract} __fractudqsq (unsigned long long fract @var{a}) 1396@deftypefnx {Runtime Function} {long long fract} __fractudqdq (unsigned long long fract @var{a}) 1397@deftypefnx {Runtime Function} {short accum} __fractudqha (unsigned long long fract @var{a}) 1398@deftypefnx {Runtime Function} {accum} __fractudqsa (unsigned long long fract @var{a}) 1399@deftypefnx {Runtime Function} {long accum} __fractudqda (unsigned long long fract @var{a}) 1400@deftypefnx {Runtime Function} {long long accum} __fractudqta (unsigned long long fract @var{a}) 1401@deftypefnx {Runtime Function} {unsigned short fract} __fractudquqq2 (unsigned long long fract @var{a}) 1402@deftypefnx {Runtime Function} {unsigned fract} __fractudquhq2 (unsigned long long fract @var{a}) 1403@deftypefnx {Runtime Function} {unsigned long fract} __fractudqusq2 (unsigned long long fract @var{a}) 1404@deftypefnx {Runtime Function} {unsigned short accum} __fractudquha (unsigned long long fract @var{a}) 1405@deftypefnx {Runtime Function} {unsigned accum} __fractudqusa (unsigned long long fract @var{a}) 1406@deftypefnx {Runtime Function} {unsigned long accum} __fractudquda (unsigned long long fract @var{a}) 1407@deftypefnx {Runtime Function} {unsigned long long accum} __fractudquta (unsigned long long fract @var{a}) 1408@deftypefnx {Runtime Function} {signed char} __fractudqqi (unsigned long long fract @var{a}) 1409@deftypefnx {Runtime Function} {short} __fractudqhi (unsigned long long fract @var{a}) 1410@deftypefnx {Runtime Function} {int} __fractudqsi (unsigned long long fract @var{a}) 1411@deftypefnx {Runtime Function} {long} __fractudqdi (unsigned long long fract @var{a}) 1412@deftypefnx {Runtime Function} {long long} __fractudqti (unsigned long long fract @var{a}) 1413@deftypefnx {Runtime Function} {float} __fractudqsf (unsigned long long fract @var{a}) 1414@deftypefnx {Runtime Function} {double} __fractudqdf (unsigned long long fract @var{a}) 1415@deftypefnx {Runtime Function} {short fract} __fractuhaqq (unsigned short accum @var{a}) 1416@deftypefnx {Runtime Function} {fract} __fractuhahq (unsigned short accum @var{a}) 1417@deftypefnx {Runtime Function} {long fract} __fractuhasq (unsigned short accum @var{a}) 1418@deftypefnx {Runtime Function} {long long fract} __fractuhadq (unsigned short accum @var{a}) 1419@deftypefnx {Runtime Function} {short accum} __fractuhaha (unsigned short accum @var{a}) 1420@deftypefnx {Runtime Function} {accum} __fractuhasa (unsigned short accum @var{a}) 1421@deftypefnx {Runtime Function} {long accum} __fractuhada (unsigned short accum @var{a}) 1422@deftypefnx {Runtime Function} {long long accum} __fractuhata (unsigned short accum @var{a}) 1423@deftypefnx {Runtime Function} {unsigned short fract} __fractuhauqq (unsigned short accum @var{a}) 1424@deftypefnx {Runtime Function} {unsigned fract} __fractuhauhq (unsigned short accum @var{a}) 1425@deftypefnx {Runtime Function} {unsigned long fract} __fractuhausq (unsigned short accum @var{a}) 1426@deftypefnx {Runtime Function} {unsigned long long fract} __fractuhaudq (unsigned short accum @var{a}) 1427@deftypefnx {Runtime Function} {unsigned accum} __fractuhausa2 (unsigned short accum @var{a}) 1428@deftypefnx {Runtime Function} {unsigned long accum} __fractuhauda2 (unsigned short accum @var{a}) 1429@deftypefnx {Runtime Function} {unsigned long long accum} __fractuhauta2 (unsigned short accum @var{a}) 1430@deftypefnx {Runtime Function} {signed char} __fractuhaqi (unsigned short accum @var{a}) 1431@deftypefnx {Runtime Function} {short} __fractuhahi (unsigned short accum @var{a}) 1432@deftypefnx {Runtime Function} {int} __fractuhasi (unsigned short accum @var{a}) 1433@deftypefnx {Runtime Function} {long} __fractuhadi (unsigned short accum @var{a}) 1434@deftypefnx {Runtime Function} {long long} __fractuhati (unsigned short accum @var{a}) 1435@deftypefnx {Runtime Function} {float} __fractuhasf (unsigned short accum @var{a}) 1436@deftypefnx {Runtime Function} {double} __fractuhadf (unsigned short accum @var{a}) 1437@deftypefnx {Runtime Function} {short fract} __fractusaqq (unsigned accum @var{a}) 1438@deftypefnx {Runtime Function} {fract} __fractusahq (unsigned accum @var{a}) 1439@deftypefnx {Runtime Function} {long fract} __fractusasq (unsigned accum @var{a}) 1440@deftypefnx {Runtime Function} {long long fract} __fractusadq (unsigned accum @var{a}) 1441@deftypefnx {Runtime Function} {short accum} __fractusaha (unsigned accum @var{a}) 1442@deftypefnx {Runtime Function} {accum} __fractusasa (unsigned accum @var{a}) 1443@deftypefnx {Runtime Function} {long accum} __fractusada (unsigned accum @var{a}) 1444@deftypefnx {Runtime Function} {long long accum} __fractusata (unsigned accum @var{a}) 1445@deftypefnx {Runtime Function} {unsigned short fract} __fractusauqq (unsigned accum @var{a}) 1446@deftypefnx {Runtime Function} {unsigned fract} __fractusauhq (unsigned accum @var{a}) 1447@deftypefnx {Runtime Function} {unsigned long fract} __fractusausq (unsigned accum @var{a}) 1448@deftypefnx {Runtime Function} {unsigned long long fract} __fractusaudq (unsigned accum @var{a}) 1449@deftypefnx {Runtime Function} {unsigned short accum} __fractusauha2 (unsigned accum @var{a}) 1450@deftypefnx {Runtime Function} {unsigned long accum} __fractusauda2 (unsigned accum @var{a}) 1451@deftypefnx {Runtime Function} {unsigned long long accum} __fractusauta2 (unsigned accum @var{a}) 1452@deftypefnx {Runtime Function} {signed char} __fractusaqi (unsigned accum @var{a}) 1453@deftypefnx {Runtime Function} {short} __fractusahi (unsigned accum @var{a}) 1454@deftypefnx {Runtime Function} {int} __fractusasi (unsigned accum @var{a}) 1455@deftypefnx {Runtime Function} {long} __fractusadi (unsigned accum @var{a}) 1456@deftypefnx {Runtime Function} {long long} __fractusati (unsigned accum @var{a}) 1457@deftypefnx {Runtime Function} {float} __fractusasf (unsigned accum @var{a}) 1458@deftypefnx {Runtime Function} {double} __fractusadf (unsigned accum @var{a}) 1459@deftypefnx {Runtime Function} {short fract} __fractudaqq (unsigned long accum @var{a}) 1460@deftypefnx {Runtime Function} {fract} __fractudahq (unsigned long accum @var{a}) 1461@deftypefnx {Runtime Function} {long fract} __fractudasq (unsigned long accum @var{a}) 1462@deftypefnx {Runtime Function} {long long fract} __fractudadq (unsigned long accum @var{a}) 1463@deftypefnx {Runtime Function} {short accum} __fractudaha (unsigned long accum @var{a}) 1464@deftypefnx {Runtime Function} {accum} __fractudasa (unsigned long accum @var{a}) 1465@deftypefnx {Runtime Function} {long accum} __fractudada (unsigned long accum @var{a}) 1466@deftypefnx {Runtime Function} {long long accum} __fractudata (unsigned long accum @var{a}) 1467@deftypefnx {Runtime Function} {unsigned short fract} __fractudauqq (unsigned long accum @var{a}) 1468@deftypefnx {Runtime Function} {unsigned fract} __fractudauhq (unsigned long accum @var{a}) 1469@deftypefnx {Runtime Function} {unsigned long fract} __fractudausq (unsigned long accum @var{a}) 1470@deftypefnx {Runtime Function} {unsigned long long fract} __fractudaudq (unsigned long accum @var{a}) 1471@deftypefnx {Runtime Function} {unsigned short accum} __fractudauha2 (unsigned long accum @var{a}) 1472@deftypefnx {Runtime Function} {unsigned accum} __fractudausa2 (unsigned long accum @var{a}) 1473@deftypefnx {Runtime Function} {unsigned long long accum} __fractudauta2 (unsigned long accum @var{a}) 1474@deftypefnx {Runtime Function} {signed char} __fractudaqi (unsigned long accum @var{a}) 1475@deftypefnx {Runtime Function} {short} __fractudahi (unsigned long accum @var{a}) 1476@deftypefnx {Runtime Function} {int} __fractudasi (unsigned long accum @var{a}) 1477@deftypefnx {Runtime Function} {long} __fractudadi (unsigned long accum @var{a}) 1478@deftypefnx {Runtime Function} {long long} __fractudati (unsigned long accum @var{a}) 1479@deftypefnx {Runtime Function} {float} __fractudasf (unsigned long accum @var{a}) 1480@deftypefnx {Runtime Function} {double} __fractudadf (unsigned long accum @var{a}) 1481@deftypefnx {Runtime Function} {short fract} __fractutaqq (unsigned long long accum @var{a}) 1482@deftypefnx {Runtime Function} {fract} __fractutahq (unsigned long long accum @var{a}) 1483@deftypefnx {Runtime Function} {long fract} __fractutasq (unsigned long long accum @var{a}) 1484@deftypefnx {Runtime Function} {long long fract} __fractutadq (unsigned long long accum @var{a}) 1485@deftypefnx {Runtime Function} {short accum} __fractutaha (unsigned long long accum @var{a}) 1486@deftypefnx {Runtime Function} {accum} __fractutasa (unsigned long long accum @var{a}) 1487@deftypefnx {Runtime Function} {long accum} __fractutada (unsigned long long accum @var{a}) 1488@deftypefnx {Runtime Function} {long long accum} __fractutata (unsigned long long accum @var{a}) 1489@deftypefnx {Runtime Function} {unsigned short fract} __fractutauqq (unsigned long long accum @var{a}) 1490@deftypefnx {Runtime Function} {unsigned fract} __fractutauhq (unsigned long long accum @var{a}) 1491@deftypefnx {Runtime Function} {unsigned long fract} __fractutausq (unsigned long long accum @var{a}) 1492@deftypefnx {Runtime Function} {unsigned long long fract} __fractutaudq (unsigned long long accum @var{a}) 1493@deftypefnx {Runtime Function} {unsigned short accum} __fractutauha2 (unsigned long long accum @var{a}) 1494@deftypefnx {Runtime Function} {unsigned accum} __fractutausa2 (unsigned long long accum @var{a}) 1495@deftypefnx {Runtime Function} {unsigned long accum} __fractutauda2 (unsigned long long accum @var{a}) 1496@deftypefnx {Runtime Function} {signed char} __fractutaqi (unsigned long long accum @var{a}) 1497@deftypefnx {Runtime Function} {short} __fractutahi (unsigned long long accum @var{a}) 1498@deftypefnx {Runtime Function} {int} __fractutasi (unsigned long long accum @var{a}) 1499@deftypefnx {Runtime Function} {long} __fractutadi (unsigned long long accum @var{a}) 1500@deftypefnx {Runtime Function} {long long} __fractutati (unsigned long long accum @var{a}) 1501@deftypefnx {Runtime Function} {float} __fractutasf (unsigned long long accum @var{a}) 1502@deftypefnx {Runtime Function} {double} __fractutadf (unsigned long long accum @var{a}) 1503@deftypefnx {Runtime Function} {short fract} __fractqiqq (signed char @var{a}) 1504@deftypefnx {Runtime Function} {fract} __fractqihq (signed char @var{a}) 1505@deftypefnx {Runtime Function} {long fract} __fractqisq (signed char @var{a}) 1506@deftypefnx {Runtime Function} {long long fract} __fractqidq (signed char @var{a}) 1507@deftypefnx {Runtime Function} {short accum} __fractqiha (signed char @var{a}) 1508@deftypefnx {Runtime Function} {accum} __fractqisa (signed char @var{a}) 1509@deftypefnx {Runtime Function} {long accum} __fractqida (signed char @var{a}) 1510@deftypefnx {Runtime Function} {long long accum} __fractqita (signed char @var{a}) 1511@deftypefnx {Runtime Function} {unsigned short fract} __fractqiuqq (signed char @var{a}) 1512@deftypefnx {Runtime Function} {unsigned fract} __fractqiuhq (signed char @var{a}) 1513@deftypefnx {Runtime Function} {unsigned long fract} __fractqiusq (signed char @var{a}) 1514@deftypefnx {Runtime Function} {unsigned long long fract} __fractqiudq (signed char @var{a}) 1515@deftypefnx {Runtime Function} {unsigned short accum} __fractqiuha (signed char @var{a}) 1516@deftypefnx {Runtime Function} {unsigned accum} __fractqiusa (signed char @var{a}) 1517@deftypefnx {Runtime Function} {unsigned long accum} __fractqiuda (signed char @var{a}) 1518@deftypefnx {Runtime Function} {unsigned long long accum} __fractqiuta (signed char @var{a}) 1519@deftypefnx {Runtime Function} {short fract} __fracthiqq (short @var{a}) 1520@deftypefnx {Runtime Function} {fract} __fracthihq (short @var{a}) 1521@deftypefnx {Runtime Function} {long fract} __fracthisq (short @var{a}) 1522@deftypefnx {Runtime Function} {long long fract} __fracthidq (short @var{a}) 1523@deftypefnx {Runtime Function} {short accum} __fracthiha (short @var{a}) 1524@deftypefnx {Runtime Function} {accum} __fracthisa (short @var{a}) 1525@deftypefnx {Runtime Function} {long accum} __fracthida (short @var{a}) 1526@deftypefnx {Runtime Function} {long long accum} __fracthita (short @var{a}) 1527@deftypefnx {Runtime Function} {unsigned short fract} __fracthiuqq (short @var{a}) 1528@deftypefnx {Runtime Function} {unsigned fract} __fracthiuhq (short @var{a}) 1529@deftypefnx {Runtime Function} {unsigned long fract} __fracthiusq (short @var{a}) 1530@deftypefnx {Runtime Function} {unsigned long long fract} __fracthiudq (short @var{a}) 1531@deftypefnx {Runtime Function} {unsigned short accum} __fracthiuha (short @var{a}) 1532@deftypefnx {Runtime Function} {unsigned accum} __fracthiusa (short @var{a}) 1533@deftypefnx {Runtime Function} {unsigned long accum} __fracthiuda (short @var{a}) 1534@deftypefnx {Runtime Function} {unsigned long long accum} __fracthiuta (short @var{a}) 1535@deftypefnx {Runtime Function} {short fract} __fractsiqq (int @var{a}) 1536@deftypefnx {Runtime Function} {fract} __fractsihq (int @var{a}) 1537@deftypefnx {Runtime Function} {long fract} __fractsisq (int @var{a}) 1538@deftypefnx {Runtime Function} {long long fract} __fractsidq (int @var{a}) 1539@deftypefnx {Runtime Function} {short accum} __fractsiha (int @var{a}) 1540@deftypefnx {Runtime Function} {accum} __fractsisa (int @var{a}) 1541@deftypefnx {Runtime Function} {long accum} __fractsida (int @var{a}) 1542@deftypefnx {Runtime Function} {long long accum} __fractsita (int @var{a}) 1543@deftypefnx {Runtime Function} {unsigned short fract} __fractsiuqq (int @var{a}) 1544@deftypefnx {Runtime Function} {unsigned fract} __fractsiuhq (int @var{a}) 1545@deftypefnx {Runtime Function} {unsigned long fract} __fractsiusq (int @var{a}) 1546@deftypefnx {Runtime Function} {unsigned long long fract} __fractsiudq (int @var{a}) 1547@deftypefnx {Runtime Function} {unsigned short accum} __fractsiuha (int @var{a}) 1548@deftypefnx {Runtime Function} {unsigned accum} __fractsiusa (int @var{a}) 1549@deftypefnx {Runtime Function} {unsigned long accum} __fractsiuda (int @var{a}) 1550@deftypefnx {Runtime Function} {unsigned long long accum} __fractsiuta (int @var{a}) 1551@deftypefnx {Runtime Function} {short fract} __fractdiqq (long @var{a}) 1552@deftypefnx {Runtime Function} {fract} __fractdihq (long @var{a}) 1553@deftypefnx {Runtime Function} {long fract} __fractdisq (long @var{a}) 1554@deftypefnx {Runtime Function} {long long fract} __fractdidq (long @var{a}) 1555@deftypefnx {Runtime Function} {short accum} __fractdiha (long @var{a}) 1556@deftypefnx {Runtime Function} {accum} __fractdisa (long @var{a}) 1557@deftypefnx {Runtime Function} {long accum} __fractdida (long @var{a}) 1558@deftypefnx {Runtime Function} {long long accum} __fractdita (long @var{a}) 1559@deftypefnx {Runtime Function} {unsigned short fract} __fractdiuqq (long @var{a}) 1560@deftypefnx {Runtime Function} {unsigned fract} __fractdiuhq (long @var{a}) 1561@deftypefnx {Runtime Function} {unsigned long fract} __fractdiusq (long @var{a}) 1562@deftypefnx {Runtime Function} {unsigned long long fract} __fractdiudq (long @var{a}) 1563@deftypefnx {Runtime Function} {unsigned short accum} __fractdiuha (long @var{a}) 1564@deftypefnx {Runtime Function} {unsigned accum} __fractdiusa (long @var{a}) 1565@deftypefnx {Runtime Function} {unsigned long accum} __fractdiuda (long @var{a}) 1566@deftypefnx {Runtime Function} {unsigned long long accum} __fractdiuta (long @var{a}) 1567@deftypefnx {Runtime Function} {short fract} __fracttiqq (long long @var{a}) 1568@deftypefnx {Runtime Function} {fract} __fracttihq (long long @var{a}) 1569@deftypefnx {Runtime Function} {long fract} __fracttisq (long long @var{a}) 1570@deftypefnx {Runtime Function} {long long fract} __fracttidq (long long @var{a}) 1571@deftypefnx {Runtime Function} {short accum} __fracttiha (long long @var{a}) 1572@deftypefnx {Runtime Function} {accum} __fracttisa (long long @var{a}) 1573@deftypefnx {Runtime Function} {long accum} __fracttida (long long @var{a}) 1574@deftypefnx {Runtime Function} {long long accum} __fracttita (long long @var{a}) 1575@deftypefnx {Runtime Function} {unsigned short fract} __fracttiuqq (long long @var{a}) 1576@deftypefnx {Runtime Function} {unsigned fract} __fracttiuhq (long long @var{a}) 1577@deftypefnx {Runtime Function} {unsigned long fract} __fracttiusq (long long @var{a}) 1578@deftypefnx {Runtime Function} {unsigned long long fract} __fracttiudq (long long @var{a}) 1579@deftypefnx {Runtime Function} {unsigned short accum} __fracttiuha (long long @var{a}) 1580@deftypefnx {Runtime Function} {unsigned accum} __fracttiusa (long long @var{a}) 1581@deftypefnx {Runtime Function} {unsigned long accum} __fracttiuda (long long @var{a}) 1582@deftypefnx {Runtime Function} {unsigned long long accum} __fracttiuta (long long @var{a}) 1583@deftypefnx {Runtime Function} {short fract} __fractsfqq (float @var{a}) 1584@deftypefnx {Runtime Function} {fract} __fractsfhq (float @var{a}) 1585@deftypefnx {Runtime Function} {long fract} __fractsfsq (float @var{a}) 1586@deftypefnx {Runtime Function} {long long fract} __fractsfdq (float @var{a}) 1587@deftypefnx {Runtime Function} {short accum} __fractsfha (float @var{a}) 1588@deftypefnx {Runtime Function} {accum} __fractsfsa (float @var{a}) 1589@deftypefnx {Runtime Function} {long accum} __fractsfda (float @var{a}) 1590@deftypefnx {Runtime Function} {long long accum} __fractsfta (float @var{a}) 1591@deftypefnx {Runtime Function} {unsigned short fract} __fractsfuqq (float @var{a}) 1592@deftypefnx {Runtime Function} {unsigned fract} __fractsfuhq (float @var{a}) 1593@deftypefnx {Runtime Function} {unsigned long fract} __fractsfusq (float @var{a}) 1594@deftypefnx {Runtime Function} {unsigned long long fract} __fractsfudq (float @var{a}) 1595@deftypefnx {Runtime Function} {unsigned short accum} __fractsfuha (float @var{a}) 1596@deftypefnx {Runtime Function} {unsigned accum} __fractsfusa (float @var{a}) 1597@deftypefnx {Runtime Function} {unsigned long accum} __fractsfuda (float @var{a}) 1598@deftypefnx {Runtime Function} {unsigned long long accum} __fractsfuta (float @var{a}) 1599@deftypefnx {Runtime Function} {short fract} __fractdfqq (double @var{a}) 1600@deftypefnx {Runtime Function} {fract} __fractdfhq (double @var{a}) 1601@deftypefnx {Runtime Function} {long fract} __fractdfsq (double @var{a}) 1602@deftypefnx {Runtime Function} {long long fract} __fractdfdq (double @var{a}) 1603@deftypefnx {Runtime Function} {short accum} __fractdfha (double @var{a}) 1604@deftypefnx {Runtime Function} {accum} __fractdfsa (double @var{a}) 1605@deftypefnx {Runtime Function} {long accum} __fractdfda (double @var{a}) 1606@deftypefnx {Runtime Function} {long long accum} __fractdfta (double @var{a}) 1607@deftypefnx {Runtime Function} {unsigned short fract} __fractdfuqq (double @var{a}) 1608@deftypefnx {Runtime Function} {unsigned fract} __fractdfuhq (double @var{a}) 1609@deftypefnx {Runtime Function} {unsigned long fract} __fractdfusq (double @var{a}) 1610@deftypefnx {Runtime Function} {unsigned long long fract} __fractdfudq (double @var{a}) 1611@deftypefnx {Runtime Function} {unsigned short accum} __fractdfuha (double @var{a}) 1612@deftypefnx {Runtime Function} {unsigned accum} __fractdfusa (double @var{a}) 1613@deftypefnx {Runtime Function} {unsigned long accum} __fractdfuda (double @var{a}) 1614@deftypefnx {Runtime Function} {unsigned long long accum} __fractdfuta (double @var{a}) 1615These functions convert from fractional and signed non-fractionals to 1616fractionals and signed non-fractionals, without saturation. 1617@end deftypefn 1618 1619@deftypefn {Runtime Function} {fract} __satfractqqhq2 (short fract @var{a}) 1620@deftypefnx {Runtime Function} {long fract} __satfractqqsq2 (short fract @var{a}) 1621@deftypefnx {Runtime Function} {long long fract} __satfractqqdq2 (short fract @var{a}) 1622@deftypefnx {Runtime Function} {short accum} __satfractqqha (short fract @var{a}) 1623@deftypefnx {Runtime Function} {accum} __satfractqqsa (short fract @var{a}) 1624@deftypefnx {Runtime Function} {long accum} __satfractqqda (short fract @var{a}) 1625@deftypefnx {Runtime Function} {long long accum} __satfractqqta (short fract @var{a}) 1626@deftypefnx {Runtime Function} {unsigned short fract} __satfractqquqq (short fract @var{a}) 1627@deftypefnx {Runtime Function} {unsigned fract} __satfractqquhq (short fract @var{a}) 1628@deftypefnx {Runtime Function} {unsigned long fract} __satfractqqusq (short fract @var{a}) 1629@deftypefnx {Runtime Function} {unsigned long long fract} __satfractqqudq (short fract @var{a}) 1630@deftypefnx {Runtime Function} {unsigned short accum} __satfractqquha (short fract @var{a}) 1631@deftypefnx {Runtime Function} {unsigned accum} __satfractqqusa (short fract @var{a}) 1632@deftypefnx {Runtime Function} {unsigned long accum} __satfractqquda (short fract @var{a}) 1633@deftypefnx {Runtime Function} {unsigned long long accum} __satfractqquta (short fract @var{a}) 1634@deftypefnx {Runtime Function} {short fract} __satfracthqqq2 (fract @var{a}) 1635@deftypefnx {Runtime Function} {long fract} __satfracthqsq2 (fract @var{a}) 1636@deftypefnx {Runtime Function} {long long fract} __satfracthqdq2 (fract @var{a}) 1637@deftypefnx {Runtime Function} {short accum} __satfracthqha (fract @var{a}) 1638@deftypefnx {Runtime Function} {accum} __satfracthqsa (fract @var{a}) 1639@deftypefnx {Runtime Function} {long accum} __satfracthqda (fract @var{a}) 1640@deftypefnx {Runtime Function} {long long accum} __satfracthqta (fract @var{a}) 1641@deftypefnx {Runtime Function} {unsigned short fract} __satfracthquqq (fract @var{a}) 1642@deftypefnx {Runtime Function} {unsigned fract} __satfracthquhq (fract @var{a}) 1643@deftypefnx {Runtime Function} {unsigned long fract} __satfracthqusq (fract @var{a}) 1644@deftypefnx {Runtime Function} {unsigned long long fract} __satfracthqudq (fract @var{a}) 1645@deftypefnx {Runtime Function} {unsigned short accum} __satfracthquha (fract @var{a}) 1646@deftypefnx {Runtime Function} {unsigned accum} __satfracthqusa (fract @var{a}) 1647@deftypefnx {Runtime Function} {unsigned long accum} __satfracthquda (fract @var{a}) 1648@deftypefnx {Runtime Function} {unsigned long long accum} __satfracthquta (fract @var{a}) 1649@deftypefnx {Runtime Function} {short fract} __satfractsqqq2 (long fract @var{a}) 1650@deftypefnx {Runtime Function} {fract} __satfractsqhq2 (long fract @var{a}) 1651@deftypefnx {Runtime Function} {long long fract} __satfractsqdq2 (long fract @var{a}) 1652@deftypefnx {Runtime Function} {short accum} __satfractsqha (long fract @var{a}) 1653@deftypefnx {Runtime Function} {accum} __satfractsqsa (long fract @var{a}) 1654@deftypefnx {Runtime Function} {long accum} __satfractsqda (long fract @var{a}) 1655@deftypefnx {Runtime Function} {long long accum} __satfractsqta (long fract @var{a}) 1656@deftypefnx {Runtime Function} {unsigned short fract} __satfractsquqq (long fract @var{a}) 1657@deftypefnx {Runtime Function} {unsigned fract} __satfractsquhq (long fract @var{a}) 1658@deftypefnx {Runtime Function} {unsigned long fract} __satfractsqusq (long fract @var{a}) 1659@deftypefnx {Runtime Function} {unsigned long long fract} __satfractsqudq (long fract @var{a}) 1660@deftypefnx {Runtime Function} {unsigned short accum} __satfractsquha (long fract @var{a}) 1661@deftypefnx {Runtime Function} {unsigned accum} __satfractsqusa (long fract @var{a}) 1662@deftypefnx {Runtime Function} {unsigned long accum} __satfractsquda (long fract @var{a}) 1663@deftypefnx {Runtime Function} {unsigned long long accum} __satfractsquta (long fract @var{a}) 1664@deftypefnx {Runtime Function} {short fract} __satfractdqqq2 (long long fract @var{a}) 1665@deftypefnx {Runtime Function} {fract} __satfractdqhq2 (long long fract @var{a}) 1666@deftypefnx {Runtime Function} {long fract} __satfractdqsq2 (long long fract @var{a}) 1667@deftypefnx {Runtime Function} {short accum} __satfractdqha (long long fract @var{a}) 1668@deftypefnx {Runtime Function} {accum} __satfractdqsa (long long fract @var{a}) 1669@deftypefnx {Runtime Function} {long accum} __satfractdqda (long long fract @var{a}) 1670@deftypefnx {Runtime Function} {long long accum} __satfractdqta (long long fract @var{a}) 1671@deftypefnx {Runtime Function} {unsigned short fract} __satfractdquqq (long long fract @var{a}) 1672@deftypefnx {Runtime Function} {unsigned fract} __satfractdquhq (long long fract @var{a}) 1673@deftypefnx {Runtime Function} {unsigned long fract} __satfractdqusq (long long fract @var{a}) 1674@deftypefnx {Runtime Function} {unsigned long long fract} __satfractdqudq (long long fract @var{a}) 1675@deftypefnx {Runtime Function} {unsigned short accum} __satfractdquha (long long fract @var{a}) 1676@deftypefnx {Runtime Function} {unsigned accum} __satfractdqusa (long long fract @var{a}) 1677@deftypefnx {Runtime Function} {unsigned long accum} __satfractdquda (long long fract @var{a}) 1678@deftypefnx {Runtime Function} {unsigned long long accum} __satfractdquta (long long fract @var{a}) 1679@deftypefnx {Runtime Function} {short fract} __satfracthaqq (short accum @var{a}) 1680@deftypefnx {Runtime Function} {fract} __satfracthahq (short accum @var{a}) 1681@deftypefnx {Runtime Function} {long fract} __satfracthasq (short accum @var{a}) 1682@deftypefnx {Runtime Function} {long long fract} __satfracthadq (short accum @var{a}) 1683@deftypefnx {Runtime Function} {accum} __satfracthasa2 (short accum @var{a}) 1684@deftypefnx {Runtime Function} {long accum} __satfracthada2 (short accum @var{a}) 1685@deftypefnx {Runtime Function} {long long accum} __satfracthata2 (short accum @var{a}) 1686@deftypefnx {Runtime Function} {unsigned short fract} __satfracthauqq (short accum @var{a}) 1687@deftypefnx {Runtime Function} {unsigned fract} __satfracthauhq (short accum @var{a}) 1688@deftypefnx {Runtime Function} {unsigned long fract} __satfracthausq (short accum @var{a}) 1689@deftypefnx {Runtime Function} {unsigned long long fract} __satfracthaudq (short accum @var{a}) 1690@deftypefnx {Runtime Function} {unsigned short accum} __satfracthauha (short accum @var{a}) 1691@deftypefnx {Runtime Function} {unsigned accum} __satfracthausa (short accum @var{a}) 1692@deftypefnx {Runtime Function} {unsigned long accum} __satfracthauda (short accum @var{a}) 1693@deftypefnx {Runtime Function} {unsigned long long accum} __satfracthauta (short accum @var{a}) 1694@deftypefnx {Runtime Function} {short fract} __satfractsaqq (accum @var{a}) 1695@deftypefnx {Runtime Function} {fract} __satfractsahq (accum @var{a}) 1696@deftypefnx {Runtime Function} {long fract} __satfractsasq (accum @var{a}) 1697@deftypefnx {Runtime Function} {long long fract} __satfractsadq (accum @var{a}) 1698@deftypefnx {Runtime Function} {short accum} __satfractsaha2 (accum @var{a}) 1699@deftypefnx {Runtime Function} {long accum} __satfractsada2 (accum @var{a}) 1700@deftypefnx {Runtime Function} {long long accum} __satfractsata2 (accum @var{a}) 1701@deftypefnx {Runtime Function} {unsigned short fract} __satfractsauqq (accum @var{a}) 1702@deftypefnx {Runtime Function} {unsigned fract} __satfractsauhq (accum @var{a}) 1703@deftypefnx {Runtime Function} {unsigned long fract} __satfractsausq (accum @var{a}) 1704@deftypefnx {Runtime Function} {unsigned long long fract} __satfractsaudq (accum @var{a}) 1705@deftypefnx {Runtime Function} {unsigned short accum} __satfractsauha (accum @var{a}) 1706@deftypefnx {Runtime Function} {unsigned accum} __satfractsausa (accum @var{a}) 1707@deftypefnx {Runtime Function} {unsigned long accum} __satfractsauda (accum @var{a}) 1708@deftypefnx {Runtime Function} {unsigned long long accum} __satfractsauta (accum @var{a}) 1709@deftypefnx {Runtime Function} {short fract} __satfractdaqq (long accum @var{a}) 1710@deftypefnx {Runtime Function} {fract} __satfractdahq (long accum @var{a}) 1711@deftypefnx {Runtime Function} {long fract} __satfractdasq (long accum @var{a}) 1712@deftypefnx {Runtime Function} {long long fract} __satfractdadq (long accum @var{a}) 1713@deftypefnx {Runtime Function} {short accum} __satfractdaha2 (long accum @var{a}) 1714@deftypefnx {Runtime Function} {accum} __satfractdasa2 (long accum @var{a}) 1715@deftypefnx {Runtime Function} {long long accum} __satfractdata2 (long accum @var{a}) 1716@deftypefnx {Runtime Function} {unsigned short fract} __satfractdauqq (long accum @var{a}) 1717@deftypefnx {Runtime Function} {unsigned fract} __satfractdauhq (long accum @var{a}) 1718@deftypefnx {Runtime Function} {unsigned long fract} __satfractdausq (long accum @var{a}) 1719@deftypefnx {Runtime Function} {unsigned long long fract} __satfractdaudq (long accum @var{a}) 1720@deftypefnx {Runtime Function} {unsigned short accum} __satfractdauha (long accum @var{a}) 1721@deftypefnx {Runtime Function} {unsigned accum} __satfractdausa (long accum @var{a}) 1722@deftypefnx {Runtime Function} {unsigned long accum} __satfractdauda (long accum @var{a}) 1723@deftypefnx {Runtime Function} {unsigned long long accum} __satfractdauta (long accum @var{a}) 1724@deftypefnx {Runtime Function} {short fract} __satfracttaqq (long long accum @var{a}) 1725@deftypefnx {Runtime Function} {fract} __satfracttahq (long long accum @var{a}) 1726@deftypefnx {Runtime Function} {long fract} __satfracttasq (long long accum @var{a}) 1727@deftypefnx {Runtime Function} {long long fract} __satfracttadq (long long accum @var{a}) 1728@deftypefnx {Runtime Function} {short accum} __satfracttaha2 (long long accum @var{a}) 1729@deftypefnx {Runtime Function} {accum} __satfracttasa2 (long long accum @var{a}) 1730@deftypefnx {Runtime Function} {long accum} __satfracttada2 (long long accum @var{a}) 1731@deftypefnx {Runtime Function} {unsigned short fract} __satfracttauqq (long long accum @var{a}) 1732@deftypefnx {Runtime Function} {unsigned fract} __satfracttauhq (long long accum @var{a}) 1733@deftypefnx {Runtime Function} {unsigned long fract} __satfracttausq (long long accum @var{a}) 1734@deftypefnx {Runtime Function} {unsigned long long fract} __satfracttaudq (long long accum @var{a}) 1735@deftypefnx {Runtime Function} {unsigned short accum} __satfracttauha (long long accum @var{a}) 1736@deftypefnx {Runtime Function} {unsigned accum} __satfracttausa (long long accum @var{a}) 1737@deftypefnx {Runtime Function} {unsigned long accum} __satfracttauda (long long accum @var{a}) 1738@deftypefnx {Runtime Function} {unsigned long long accum} __satfracttauta (long long accum @var{a}) 1739@deftypefnx {Runtime Function} {short fract} __satfractuqqqq (unsigned short fract @var{a}) 1740@deftypefnx {Runtime Function} {fract} __satfractuqqhq (unsigned short fract @var{a}) 1741@deftypefnx {Runtime Function} {long fract} __satfractuqqsq (unsigned short fract @var{a}) 1742@deftypefnx {Runtime Function} {long long fract} __satfractuqqdq (unsigned short fract @var{a}) 1743@deftypefnx {Runtime Function} {short accum} __satfractuqqha (unsigned short fract @var{a}) 1744@deftypefnx {Runtime Function} {accum} __satfractuqqsa (unsigned short fract @var{a}) 1745@deftypefnx {Runtime Function} {long accum} __satfractuqqda (unsigned short fract @var{a}) 1746@deftypefnx {Runtime Function} {long long accum} __satfractuqqta (unsigned short fract @var{a}) 1747@deftypefnx {Runtime Function} {unsigned fract} __satfractuqquhq2 (unsigned short fract @var{a}) 1748@deftypefnx {Runtime Function} {unsigned long fract} __satfractuqqusq2 (unsigned short fract @var{a}) 1749@deftypefnx {Runtime Function} {unsigned long long fract} __satfractuqqudq2 (unsigned short fract @var{a}) 1750@deftypefnx {Runtime Function} {unsigned short accum} __satfractuqquha (unsigned short fract @var{a}) 1751@deftypefnx {Runtime Function} {unsigned accum} __satfractuqqusa (unsigned short fract @var{a}) 1752@deftypefnx {Runtime Function} {unsigned long accum} __satfractuqquda (unsigned short fract @var{a}) 1753@deftypefnx {Runtime Function} {unsigned long long accum} __satfractuqquta (unsigned short fract @var{a}) 1754@deftypefnx {Runtime Function} {short fract} __satfractuhqqq (unsigned fract @var{a}) 1755@deftypefnx {Runtime Function} {fract} __satfractuhqhq (unsigned fract @var{a}) 1756@deftypefnx {Runtime Function} {long fract} __satfractuhqsq (unsigned fract @var{a}) 1757@deftypefnx {Runtime Function} {long long fract} __satfractuhqdq (unsigned fract @var{a}) 1758@deftypefnx {Runtime Function} {short accum} __satfractuhqha (unsigned fract @var{a}) 1759@deftypefnx {Runtime Function} {accum} __satfractuhqsa (unsigned fract @var{a}) 1760@deftypefnx {Runtime Function} {long accum} __satfractuhqda (unsigned fract @var{a}) 1761@deftypefnx {Runtime Function} {long long accum} __satfractuhqta (unsigned fract @var{a}) 1762@deftypefnx {Runtime Function} {unsigned short fract} __satfractuhquqq2 (unsigned fract @var{a}) 1763@deftypefnx {Runtime Function} {unsigned long fract} __satfractuhqusq2 (unsigned fract @var{a}) 1764@deftypefnx {Runtime Function} {unsigned long long fract} __satfractuhqudq2 (unsigned fract @var{a}) 1765@deftypefnx {Runtime Function} {unsigned short accum} __satfractuhquha (unsigned fract @var{a}) 1766@deftypefnx {Runtime Function} {unsigned accum} __satfractuhqusa (unsigned fract @var{a}) 1767@deftypefnx {Runtime Function} {unsigned long accum} __satfractuhquda (unsigned fract @var{a}) 1768@deftypefnx {Runtime Function} {unsigned long long accum} __satfractuhquta (unsigned fract @var{a}) 1769@deftypefnx {Runtime Function} {short fract} __satfractusqqq (unsigned long fract @var{a}) 1770@deftypefnx {Runtime Function} {fract} __satfractusqhq (unsigned long fract @var{a}) 1771@deftypefnx {Runtime Function} {long fract} __satfractusqsq (unsigned long fract @var{a}) 1772@deftypefnx {Runtime Function} {long long fract} __satfractusqdq (unsigned long fract @var{a}) 1773@deftypefnx {Runtime Function} {short accum} __satfractusqha (unsigned long fract @var{a}) 1774@deftypefnx {Runtime Function} {accum} __satfractusqsa (unsigned long fract @var{a}) 1775@deftypefnx {Runtime Function} {long accum} __satfractusqda (unsigned long fract @var{a}) 1776@deftypefnx {Runtime Function} {long long accum} __satfractusqta (unsigned long fract @var{a}) 1777@deftypefnx {Runtime Function} {unsigned short fract} __satfractusquqq2 (unsigned long fract @var{a}) 1778@deftypefnx {Runtime Function} {unsigned fract} __satfractusquhq2 (unsigned long fract @var{a}) 1779@deftypefnx {Runtime Function} {unsigned long long fract} __satfractusqudq2 (unsigned long fract @var{a}) 1780@deftypefnx {Runtime Function} {unsigned short accum} __satfractusquha (unsigned long fract @var{a}) 1781@deftypefnx {Runtime Function} {unsigned accum} __satfractusqusa (unsigned long fract @var{a}) 1782@deftypefnx {Runtime Function} {unsigned long accum} __satfractusquda (unsigned long fract @var{a}) 1783@deftypefnx {Runtime Function} {unsigned long long accum} __satfractusquta (unsigned long fract @var{a}) 1784@deftypefnx {Runtime Function} {short fract} __satfractudqqq (unsigned long long fract @var{a}) 1785@deftypefnx {Runtime Function} {fract} __satfractudqhq (unsigned long long fract @var{a}) 1786@deftypefnx {Runtime Function} {long fract} __satfractudqsq (unsigned long long fract @var{a}) 1787@deftypefnx {Runtime Function} {long long fract} __satfractudqdq (unsigned long long fract @var{a}) 1788@deftypefnx {Runtime Function} {short accum} __satfractudqha (unsigned long long fract @var{a}) 1789@deftypefnx {Runtime Function} {accum} __satfractudqsa (unsigned long long fract @var{a}) 1790@deftypefnx {Runtime Function} {long accum} __satfractudqda (unsigned long long fract @var{a}) 1791@deftypefnx {Runtime Function} {long long accum} __satfractudqta (unsigned long long fract @var{a}) 1792@deftypefnx {Runtime Function} {unsigned short fract} __satfractudquqq2 (unsigned long long fract @var{a}) 1793@deftypefnx {Runtime Function} {unsigned fract} __satfractudquhq2 (unsigned long long fract @var{a}) 1794@deftypefnx {Runtime Function} {unsigned long fract} __satfractudqusq2 (unsigned long long fract @var{a}) 1795@deftypefnx {Runtime Function} {unsigned short accum} __satfractudquha (unsigned long long fract @var{a}) 1796@deftypefnx {Runtime Function} {unsigned accum} __satfractudqusa (unsigned long long fract @var{a}) 1797@deftypefnx {Runtime Function} {unsigned long accum} __satfractudquda (unsigned long long fract @var{a}) 1798@deftypefnx {Runtime Function} {unsigned long long accum} __satfractudquta (unsigned long long fract @var{a}) 1799@deftypefnx {Runtime Function} {short fract} __satfractuhaqq (unsigned short accum @var{a}) 1800@deftypefnx {Runtime Function} {fract} __satfractuhahq (unsigned short accum @var{a}) 1801@deftypefnx {Runtime Function} {long fract} __satfractuhasq (unsigned short accum @var{a}) 1802@deftypefnx {Runtime Function} {long long fract} __satfractuhadq (unsigned short accum @var{a}) 1803@deftypefnx {Runtime Function} {short accum} __satfractuhaha (unsigned short accum @var{a}) 1804@deftypefnx {Runtime Function} {accum} __satfractuhasa (unsigned short accum @var{a}) 1805@deftypefnx {Runtime Function} {long accum} __satfractuhada (unsigned short accum @var{a}) 1806@deftypefnx {Runtime Function} {long long accum} __satfractuhata (unsigned short accum @var{a}) 1807@deftypefnx {Runtime Function} {unsigned short fract} __satfractuhauqq (unsigned short accum @var{a}) 1808@deftypefnx {Runtime Function} {unsigned fract} __satfractuhauhq (unsigned short accum @var{a}) 1809@deftypefnx {Runtime Function} {unsigned long fract} __satfractuhausq (unsigned short accum @var{a}) 1810@deftypefnx {Runtime Function} {unsigned long long fract} __satfractuhaudq (unsigned short accum @var{a}) 1811@deftypefnx {Runtime Function} {unsigned accum} __satfractuhausa2 (unsigned short accum @var{a}) 1812@deftypefnx {Runtime Function} {unsigned long accum} __satfractuhauda2 (unsigned short accum @var{a}) 1813@deftypefnx {Runtime Function} {unsigned long long accum} __satfractuhauta2 (unsigned short accum @var{a}) 1814@deftypefnx {Runtime Function} {short fract} __satfractusaqq (unsigned accum @var{a}) 1815@deftypefnx {Runtime Function} {fract} __satfractusahq (unsigned accum @var{a}) 1816@deftypefnx {Runtime Function} {long fract} __satfractusasq (unsigned accum @var{a}) 1817@deftypefnx {Runtime Function} {long long fract} __satfractusadq (unsigned accum @var{a}) 1818@deftypefnx {Runtime Function} {short accum} __satfractusaha (unsigned accum @var{a}) 1819@deftypefnx {Runtime Function} {accum} __satfractusasa (unsigned accum @var{a}) 1820@deftypefnx {Runtime Function} {long accum} __satfractusada (unsigned accum @var{a}) 1821@deftypefnx {Runtime Function} {long long accum} __satfractusata (unsigned accum @var{a}) 1822@deftypefnx {Runtime Function} {unsigned short fract} __satfractusauqq (unsigned accum @var{a}) 1823@deftypefnx {Runtime Function} {unsigned fract} __satfractusauhq (unsigned accum @var{a}) 1824@deftypefnx {Runtime Function} {unsigned long fract} __satfractusausq (unsigned accum @var{a}) 1825@deftypefnx {Runtime Function} {unsigned long long fract} __satfractusaudq (unsigned accum @var{a}) 1826@deftypefnx {Runtime Function} {unsigned short accum} __satfractusauha2 (unsigned accum @var{a}) 1827@deftypefnx {Runtime Function} {unsigned long accum} __satfractusauda2 (unsigned accum @var{a}) 1828@deftypefnx {Runtime Function} {unsigned long long accum} __satfractusauta2 (unsigned accum @var{a}) 1829@deftypefnx {Runtime Function} {short fract} __satfractudaqq (unsigned long accum @var{a}) 1830@deftypefnx {Runtime Function} {fract} __satfractudahq (unsigned long accum @var{a}) 1831@deftypefnx {Runtime Function} {long fract} __satfractudasq (unsigned long accum @var{a}) 1832@deftypefnx {Runtime Function} {long long fract} __satfractudadq (unsigned long accum @var{a}) 1833@deftypefnx {Runtime Function} {short accum} __satfractudaha (unsigned long accum @var{a}) 1834@deftypefnx {Runtime Function} {accum} __satfractudasa (unsigned long accum @var{a}) 1835@deftypefnx {Runtime Function} {long accum} __satfractudada (unsigned long accum @var{a}) 1836@deftypefnx {Runtime Function} {long long accum} __satfractudata (unsigned long accum @var{a}) 1837@deftypefnx {Runtime Function} {unsigned short fract} __satfractudauqq (unsigned long accum @var{a}) 1838@deftypefnx {Runtime Function} {unsigned fract} __satfractudauhq (unsigned long accum @var{a}) 1839@deftypefnx {Runtime Function} {unsigned long fract} __satfractudausq (unsigned long accum @var{a}) 1840@deftypefnx {Runtime Function} {unsigned long long fract} __satfractudaudq (unsigned long accum @var{a}) 1841@deftypefnx {Runtime Function} {unsigned short accum} __satfractudauha2 (unsigned long accum @var{a}) 1842@deftypefnx {Runtime Function} {unsigned accum} __satfractudausa2 (unsigned long accum @var{a}) 1843@deftypefnx {Runtime Function} {unsigned long long accum} __satfractudauta2 (unsigned long accum @var{a}) 1844@deftypefnx {Runtime Function} {short fract} __satfractutaqq (unsigned long long accum @var{a}) 1845@deftypefnx {Runtime Function} {fract} __satfractutahq (unsigned long long accum @var{a}) 1846@deftypefnx {Runtime Function} {long fract} __satfractutasq (unsigned long long accum @var{a}) 1847@deftypefnx {Runtime Function} {long long fract} __satfractutadq (unsigned long long accum @var{a}) 1848@deftypefnx {Runtime Function} {short accum} __satfractutaha (unsigned long long accum @var{a}) 1849@deftypefnx {Runtime Function} {accum} __satfractutasa (unsigned long long accum @var{a}) 1850@deftypefnx {Runtime Function} {long accum} __satfractutada (unsigned long long accum @var{a}) 1851@deftypefnx {Runtime Function} {long long accum} __satfractutata (unsigned long long accum @var{a}) 1852@deftypefnx {Runtime Function} {unsigned short fract} __satfractutauqq (unsigned long long accum @var{a}) 1853@deftypefnx {Runtime Function} {unsigned fract} __satfractutauhq (unsigned long long accum @var{a}) 1854@deftypefnx {Runtime Function} {unsigned long fract} __satfractutausq (unsigned long long accum @var{a}) 1855@deftypefnx {Runtime Function} {unsigned long long fract} __satfractutaudq (unsigned long long accum @var{a}) 1856@deftypefnx {Runtime Function} {unsigned short accum} __satfractutauha2 (unsigned long long accum @var{a}) 1857@deftypefnx {Runtime Function} {unsigned accum} __satfractutausa2 (unsigned long long accum @var{a}) 1858@deftypefnx {Runtime Function} {unsigned long accum} __satfractutauda2 (unsigned long long accum @var{a}) 1859@deftypefnx {Runtime Function} {short fract} __satfractqiqq (signed char @var{a}) 1860@deftypefnx {Runtime Function} {fract} __satfractqihq (signed char @var{a}) 1861@deftypefnx {Runtime Function} {long fract} __satfractqisq (signed char @var{a}) 1862@deftypefnx {Runtime Function} {long long fract} __satfractqidq (signed char @var{a}) 1863@deftypefnx {Runtime Function} {short accum} __satfractqiha (signed char @var{a}) 1864@deftypefnx {Runtime Function} {accum} __satfractqisa (signed char @var{a}) 1865@deftypefnx {Runtime Function} {long accum} __satfractqida (signed char @var{a}) 1866@deftypefnx {Runtime Function} {long long accum} __satfractqita (signed char @var{a}) 1867@deftypefnx {Runtime Function} {unsigned short fract} __satfractqiuqq (signed char @var{a}) 1868@deftypefnx {Runtime Function} {unsigned fract} __satfractqiuhq (signed char @var{a}) 1869@deftypefnx {Runtime Function} {unsigned long fract} __satfractqiusq (signed char @var{a}) 1870@deftypefnx {Runtime Function} {unsigned long long fract} __satfractqiudq (signed char @var{a}) 1871@deftypefnx {Runtime Function} {unsigned short accum} __satfractqiuha (signed char @var{a}) 1872@deftypefnx {Runtime Function} {unsigned accum} __satfractqiusa (signed char @var{a}) 1873@deftypefnx {Runtime Function} {unsigned long accum} __satfractqiuda (signed char @var{a}) 1874@deftypefnx {Runtime Function} {unsigned long long accum} __satfractqiuta (signed char @var{a}) 1875@deftypefnx {Runtime Function} {short fract} __satfracthiqq (short @var{a}) 1876@deftypefnx {Runtime Function} {fract} __satfracthihq (short @var{a}) 1877@deftypefnx {Runtime Function} {long fract} __satfracthisq (short @var{a}) 1878@deftypefnx {Runtime Function} {long long fract} __satfracthidq (short @var{a}) 1879@deftypefnx {Runtime Function} {short accum} __satfracthiha (short @var{a}) 1880@deftypefnx {Runtime Function} {accum} __satfracthisa (short @var{a}) 1881@deftypefnx {Runtime Function} {long accum} __satfracthida (short @var{a}) 1882@deftypefnx {Runtime Function} {long long accum} __satfracthita (short @var{a}) 1883@deftypefnx {Runtime Function} {unsigned short fract} __satfracthiuqq (short @var{a}) 1884@deftypefnx {Runtime Function} {unsigned fract} __satfracthiuhq (short @var{a}) 1885@deftypefnx {Runtime Function} {unsigned long fract} __satfracthiusq (short @var{a}) 1886@deftypefnx {Runtime Function} {unsigned long long fract} __satfracthiudq (short @var{a}) 1887@deftypefnx {Runtime Function} {unsigned short accum} __satfracthiuha (short @var{a}) 1888@deftypefnx {Runtime Function} {unsigned accum} __satfracthiusa (short @var{a}) 1889@deftypefnx {Runtime Function} {unsigned long accum} __satfracthiuda (short @var{a}) 1890@deftypefnx {Runtime Function} {unsigned long long accum} __satfracthiuta (short @var{a}) 1891@deftypefnx {Runtime Function} {short fract} __satfractsiqq (int @var{a}) 1892@deftypefnx {Runtime Function} {fract} __satfractsihq (int @var{a}) 1893@deftypefnx {Runtime Function} {long fract} __satfractsisq (int @var{a}) 1894@deftypefnx {Runtime Function} {long long fract} __satfractsidq (int @var{a}) 1895@deftypefnx {Runtime Function} {short accum} __satfractsiha (int @var{a}) 1896@deftypefnx {Runtime Function} {accum} __satfractsisa (int @var{a}) 1897@deftypefnx {Runtime Function} {long accum} __satfractsida (int @var{a}) 1898@deftypefnx {Runtime Function} {long long accum} __satfractsita (int @var{a}) 1899@deftypefnx {Runtime Function} {unsigned short fract} __satfractsiuqq (int @var{a}) 1900@deftypefnx {Runtime Function} {unsigned fract} __satfractsiuhq (int @var{a}) 1901@deftypefnx {Runtime Function} {unsigned long fract} __satfractsiusq (int @var{a}) 1902@deftypefnx {Runtime Function} {unsigned long long fract} __satfractsiudq (int @var{a}) 1903@deftypefnx {Runtime Function} {unsigned short accum} __satfractsiuha (int @var{a}) 1904@deftypefnx {Runtime Function} {unsigned accum} __satfractsiusa (int @var{a}) 1905@deftypefnx {Runtime Function} {unsigned long accum} __satfractsiuda (int @var{a}) 1906@deftypefnx {Runtime Function} {unsigned long long accum} __satfractsiuta (int @var{a}) 1907@deftypefnx {Runtime Function} {short fract} __satfractdiqq (long @var{a}) 1908@deftypefnx {Runtime Function} {fract} __satfractdihq (long @var{a}) 1909@deftypefnx {Runtime Function} {long fract} __satfractdisq (long @var{a}) 1910@deftypefnx {Runtime Function} {long long fract} __satfractdidq (long @var{a}) 1911@deftypefnx {Runtime Function} {short accum} __satfractdiha (long @var{a}) 1912@deftypefnx {Runtime Function} {accum} __satfractdisa (long @var{a}) 1913@deftypefnx {Runtime Function} {long accum} __satfractdida (long @var{a}) 1914@deftypefnx {Runtime Function} {long long accum} __satfractdita (long @var{a}) 1915@deftypefnx {Runtime Function} {unsigned short fract} __satfractdiuqq (long @var{a}) 1916@deftypefnx {Runtime Function} {unsigned fract} __satfractdiuhq (long @var{a}) 1917@deftypefnx {Runtime Function} {unsigned long fract} __satfractdiusq (long @var{a}) 1918@deftypefnx {Runtime Function} {unsigned long long fract} __satfractdiudq (long @var{a}) 1919@deftypefnx {Runtime Function} {unsigned short accum} __satfractdiuha (long @var{a}) 1920@deftypefnx {Runtime Function} {unsigned accum} __satfractdiusa (long @var{a}) 1921@deftypefnx {Runtime Function} {unsigned long accum} __satfractdiuda (long @var{a}) 1922@deftypefnx {Runtime Function} {unsigned long long accum} __satfractdiuta (long @var{a}) 1923@deftypefnx {Runtime Function} {short fract} __satfracttiqq (long long @var{a}) 1924@deftypefnx {Runtime Function} {fract} __satfracttihq (long long @var{a}) 1925@deftypefnx {Runtime Function} {long fract} __satfracttisq (long long @var{a}) 1926@deftypefnx {Runtime Function} {long long fract} __satfracttidq (long long @var{a}) 1927@deftypefnx {Runtime Function} {short accum} __satfracttiha (long long @var{a}) 1928@deftypefnx {Runtime Function} {accum} __satfracttisa (long long @var{a}) 1929@deftypefnx {Runtime Function} {long accum} __satfracttida (long long @var{a}) 1930@deftypefnx {Runtime Function} {long long accum} __satfracttita (long long @var{a}) 1931@deftypefnx {Runtime Function} {unsigned short fract} __satfracttiuqq (long long @var{a}) 1932@deftypefnx {Runtime Function} {unsigned fract} __satfracttiuhq (long long @var{a}) 1933@deftypefnx {Runtime Function} {unsigned long fract} __satfracttiusq (long long @var{a}) 1934@deftypefnx {Runtime Function} {unsigned long long fract} __satfracttiudq (long long @var{a}) 1935@deftypefnx {Runtime Function} {unsigned short accum} __satfracttiuha (long long @var{a}) 1936@deftypefnx {Runtime Function} {unsigned accum} __satfracttiusa (long long @var{a}) 1937@deftypefnx {Runtime Function} {unsigned long accum} __satfracttiuda (long long @var{a}) 1938@deftypefnx {Runtime Function} {unsigned long long accum} __satfracttiuta (long long @var{a}) 1939@deftypefnx {Runtime Function} {short fract} __satfractsfqq (float @var{a}) 1940@deftypefnx {Runtime Function} {fract} __satfractsfhq (float @var{a}) 1941@deftypefnx {Runtime Function} {long fract} __satfractsfsq (float @var{a}) 1942@deftypefnx {Runtime Function} {long long fract} __satfractsfdq (float @var{a}) 1943@deftypefnx {Runtime Function} {short accum} __satfractsfha (float @var{a}) 1944@deftypefnx {Runtime Function} {accum} __satfractsfsa (float @var{a}) 1945@deftypefnx {Runtime Function} {long accum} __satfractsfda (float @var{a}) 1946@deftypefnx {Runtime Function} {long long accum} __satfractsfta (float @var{a}) 1947@deftypefnx {Runtime Function} {unsigned short fract} __satfractsfuqq (float @var{a}) 1948@deftypefnx {Runtime Function} {unsigned fract} __satfractsfuhq (float @var{a}) 1949@deftypefnx {Runtime Function} {unsigned long fract} __satfractsfusq (float @var{a}) 1950@deftypefnx {Runtime Function} {unsigned long long fract} __satfractsfudq (float @var{a}) 1951@deftypefnx {Runtime Function} {unsigned short accum} __satfractsfuha (float @var{a}) 1952@deftypefnx {Runtime Function} {unsigned accum} __satfractsfusa (float @var{a}) 1953@deftypefnx {Runtime Function} {unsigned long accum} __satfractsfuda (float @var{a}) 1954@deftypefnx {Runtime Function} {unsigned long long accum} __satfractsfuta (float @var{a}) 1955@deftypefnx {Runtime Function} {short fract} __satfractdfqq (double @var{a}) 1956@deftypefnx {Runtime Function} {fract} __satfractdfhq (double @var{a}) 1957@deftypefnx {Runtime Function} {long fract} __satfractdfsq (double @var{a}) 1958@deftypefnx {Runtime Function} {long long fract} __satfractdfdq (double @var{a}) 1959@deftypefnx {Runtime Function} {short accum} __satfractdfha (double @var{a}) 1960@deftypefnx {Runtime Function} {accum} __satfractdfsa (double @var{a}) 1961@deftypefnx {Runtime Function} {long accum} __satfractdfda (double @var{a}) 1962@deftypefnx {Runtime Function} {long long accum} __satfractdfta (double @var{a}) 1963@deftypefnx {Runtime Function} {unsigned short fract} __satfractdfuqq (double @var{a}) 1964@deftypefnx {Runtime Function} {unsigned fract} __satfractdfuhq (double @var{a}) 1965@deftypefnx {Runtime Function} {unsigned long fract} __satfractdfusq (double @var{a}) 1966@deftypefnx {Runtime Function} {unsigned long long fract} __satfractdfudq (double @var{a}) 1967@deftypefnx {Runtime Function} {unsigned short accum} __satfractdfuha (double @var{a}) 1968@deftypefnx {Runtime Function} {unsigned accum} __satfractdfusa (double @var{a}) 1969@deftypefnx {Runtime Function} {unsigned long accum} __satfractdfuda (double @var{a}) 1970@deftypefnx {Runtime Function} {unsigned long long accum} __satfractdfuta (double @var{a}) 1971The functions convert from fractional and signed non-fractionals to 1972fractionals, with saturation. 1973@end deftypefn 1974 1975@deftypefn {Runtime Function} {unsigned char} __fractunsqqqi (short fract @var{a}) 1976@deftypefnx {Runtime Function} {unsigned short} __fractunsqqhi (short fract @var{a}) 1977@deftypefnx {Runtime Function} {unsigned int} __fractunsqqsi (short fract @var{a}) 1978@deftypefnx {Runtime Function} {unsigned long} __fractunsqqdi (short fract @var{a}) 1979@deftypefnx {Runtime Function} {unsigned long long} __fractunsqqti (short fract @var{a}) 1980@deftypefnx {Runtime Function} {unsigned char} __fractunshqqi (fract @var{a}) 1981@deftypefnx {Runtime Function} {unsigned short} __fractunshqhi (fract @var{a}) 1982@deftypefnx {Runtime Function} {unsigned int} __fractunshqsi (fract @var{a}) 1983@deftypefnx {Runtime Function} {unsigned long} __fractunshqdi (fract @var{a}) 1984@deftypefnx {Runtime Function} {unsigned long long} __fractunshqti (fract @var{a}) 1985@deftypefnx {Runtime Function} {unsigned char} __fractunssqqi (long fract @var{a}) 1986@deftypefnx {Runtime Function} {unsigned short} __fractunssqhi (long fract @var{a}) 1987@deftypefnx {Runtime Function} {unsigned int} __fractunssqsi (long fract @var{a}) 1988@deftypefnx {Runtime Function} {unsigned long} __fractunssqdi (long fract @var{a}) 1989@deftypefnx {Runtime Function} {unsigned long long} __fractunssqti (long fract @var{a}) 1990@deftypefnx {Runtime Function} {unsigned char} __fractunsdqqi (long long fract @var{a}) 1991@deftypefnx {Runtime Function} {unsigned short} __fractunsdqhi (long long fract @var{a}) 1992@deftypefnx {Runtime Function} {unsigned int} __fractunsdqsi (long long fract @var{a}) 1993@deftypefnx {Runtime Function} {unsigned long} __fractunsdqdi (long long fract @var{a}) 1994@deftypefnx {Runtime Function} {unsigned long long} __fractunsdqti (long long fract @var{a}) 1995@deftypefnx {Runtime Function} {unsigned char} __fractunshaqi (short accum @var{a}) 1996@deftypefnx {Runtime Function} {unsigned short} __fractunshahi (short accum @var{a}) 1997@deftypefnx {Runtime Function} {unsigned int} __fractunshasi (short accum @var{a}) 1998@deftypefnx {Runtime Function} {unsigned long} __fractunshadi (short accum @var{a}) 1999@deftypefnx {Runtime Function} {unsigned long long} __fractunshati (short accum @var{a}) 2000@deftypefnx {Runtime Function} {unsigned char} __fractunssaqi (accum @var{a}) 2001@deftypefnx {Runtime Function} {unsigned short} __fractunssahi (accum @var{a}) 2002@deftypefnx {Runtime Function} {unsigned int} __fractunssasi (accum @var{a}) 2003@deftypefnx {Runtime Function} {unsigned long} __fractunssadi (accum @var{a}) 2004@deftypefnx {Runtime Function} {unsigned long long} __fractunssati (accum @var{a}) 2005@deftypefnx {Runtime Function} {unsigned char} __fractunsdaqi (long accum @var{a}) 2006@deftypefnx {Runtime Function} {unsigned short} __fractunsdahi (long accum @var{a}) 2007@deftypefnx {Runtime Function} {unsigned int} __fractunsdasi (long accum @var{a}) 2008@deftypefnx {Runtime Function} {unsigned long} __fractunsdadi (long accum @var{a}) 2009@deftypefnx {Runtime Function} {unsigned long long} __fractunsdati (long accum @var{a}) 2010@deftypefnx {Runtime Function} {unsigned char} __fractunstaqi (long long accum @var{a}) 2011@deftypefnx {Runtime Function} {unsigned short} __fractunstahi (long long accum @var{a}) 2012@deftypefnx {Runtime Function} {unsigned int} __fractunstasi (long long accum @var{a}) 2013@deftypefnx {Runtime Function} {unsigned long} __fractunstadi (long long accum @var{a}) 2014@deftypefnx {Runtime Function} {unsigned long long} __fractunstati (long long accum @var{a}) 2015@deftypefnx {Runtime Function} {unsigned char} __fractunsuqqqi (unsigned short fract @var{a}) 2016@deftypefnx {Runtime Function} {unsigned short} __fractunsuqqhi (unsigned short fract @var{a}) 2017@deftypefnx {Runtime Function} {unsigned int} __fractunsuqqsi (unsigned short fract @var{a}) 2018@deftypefnx {Runtime Function} {unsigned long} __fractunsuqqdi (unsigned short fract @var{a}) 2019@deftypefnx {Runtime Function} {unsigned long long} __fractunsuqqti (unsigned short fract @var{a}) 2020@deftypefnx {Runtime Function} {unsigned char} __fractunsuhqqi (unsigned fract @var{a}) 2021@deftypefnx {Runtime Function} {unsigned short} __fractunsuhqhi (unsigned fract @var{a}) 2022@deftypefnx {Runtime Function} {unsigned int} __fractunsuhqsi (unsigned fract @var{a}) 2023@deftypefnx {Runtime Function} {unsigned long} __fractunsuhqdi (unsigned fract @var{a}) 2024@deftypefnx {Runtime Function} {unsigned long long} __fractunsuhqti (unsigned fract @var{a}) 2025@deftypefnx {Runtime Function} {unsigned char} __fractunsusqqi (unsigned long fract @var{a}) 2026@deftypefnx {Runtime Function} {unsigned short} __fractunsusqhi (unsigned long fract @var{a}) 2027@deftypefnx {Runtime Function} {unsigned int} __fractunsusqsi (unsigned long fract @var{a}) 2028@deftypefnx {Runtime Function} {unsigned long} __fractunsusqdi (unsigned long fract @var{a}) 2029@deftypefnx {Runtime Function} {unsigned long long} __fractunsusqti (unsigned long fract @var{a}) 2030@deftypefnx {Runtime Function} {unsigned char} __fractunsudqqi (unsigned long long fract @var{a}) 2031@deftypefnx {Runtime Function} {unsigned short} __fractunsudqhi (unsigned long long fract @var{a}) 2032@deftypefnx {Runtime Function} {unsigned int} __fractunsudqsi (unsigned long long fract @var{a}) 2033@deftypefnx {Runtime Function} {unsigned long} __fractunsudqdi (unsigned long long fract @var{a}) 2034@deftypefnx {Runtime Function} {unsigned long long} __fractunsudqti (unsigned long long fract @var{a}) 2035@deftypefnx {Runtime Function} {unsigned char} __fractunsuhaqi (unsigned short accum @var{a}) 2036@deftypefnx {Runtime Function} {unsigned short} __fractunsuhahi (unsigned short accum @var{a}) 2037@deftypefnx {Runtime Function} {unsigned int} __fractunsuhasi (unsigned short accum @var{a}) 2038@deftypefnx {Runtime Function} {unsigned long} __fractunsuhadi (unsigned short accum @var{a}) 2039@deftypefnx {Runtime Function} {unsigned long long} __fractunsuhati (unsigned short accum @var{a}) 2040@deftypefnx {Runtime Function} {unsigned char} __fractunsusaqi (unsigned accum @var{a}) 2041@deftypefnx {Runtime Function} {unsigned short} __fractunsusahi (unsigned accum @var{a}) 2042@deftypefnx {Runtime Function} {unsigned int} __fractunsusasi (unsigned accum @var{a}) 2043@deftypefnx {Runtime Function} {unsigned long} __fractunsusadi (unsigned accum @var{a}) 2044@deftypefnx {Runtime Function} {unsigned long long} __fractunsusati (unsigned accum @var{a}) 2045@deftypefnx {Runtime Function} {unsigned char} __fractunsudaqi (unsigned long accum @var{a}) 2046@deftypefnx {Runtime Function} {unsigned short} __fractunsudahi (unsigned long accum @var{a}) 2047@deftypefnx {Runtime Function} {unsigned int} __fractunsudasi (unsigned long accum @var{a}) 2048@deftypefnx {Runtime Function} {unsigned long} __fractunsudadi (unsigned long accum @var{a}) 2049@deftypefnx {Runtime Function} {unsigned long long} __fractunsudati (unsigned long accum @var{a}) 2050@deftypefnx {Runtime Function} {unsigned char} __fractunsutaqi (unsigned long long accum @var{a}) 2051@deftypefnx {Runtime Function} {unsigned short} __fractunsutahi (unsigned long long accum @var{a}) 2052@deftypefnx {Runtime Function} {unsigned int} __fractunsutasi (unsigned long long accum @var{a}) 2053@deftypefnx {Runtime Function} {unsigned long} __fractunsutadi (unsigned long long accum @var{a}) 2054@deftypefnx {Runtime Function} {unsigned long long} __fractunsutati (unsigned long long accum @var{a}) 2055@deftypefnx {Runtime Function} {short fract} __fractunsqiqq (unsigned char @var{a}) 2056@deftypefnx {Runtime Function} {fract} __fractunsqihq (unsigned char @var{a}) 2057@deftypefnx {Runtime Function} {long fract} __fractunsqisq (unsigned char @var{a}) 2058@deftypefnx {Runtime Function} {long long fract} __fractunsqidq (unsigned char @var{a}) 2059@deftypefnx {Runtime Function} {short accum} __fractunsqiha (unsigned char @var{a}) 2060@deftypefnx {Runtime Function} {accum} __fractunsqisa (unsigned char @var{a}) 2061@deftypefnx {Runtime Function} {long accum} __fractunsqida (unsigned char @var{a}) 2062@deftypefnx {Runtime Function} {long long accum} __fractunsqita (unsigned char @var{a}) 2063@deftypefnx {Runtime Function} {unsigned short fract} __fractunsqiuqq (unsigned char @var{a}) 2064@deftypefnx {Runtime Function} {unsigned fract} __fractunsqiuhq (unsigned char @var{a}) 2065@deftypefnx {Runtime Function} {unsigned long fract} __fractunsqiusq (unsigned char @var{a}) 2066@deftypefnx {Runtime Function} {unsigned long long fract} __fractunsqiudq (unsigned char @var{a}) 2067@deftypefnx {Runtime Function} {unsigned short accum} __fractunsqiuha (unsigned char @var{a}) 2068@deftypefnx {Runtime Function} {unsigned accum} __fractunsqiusa (unsigned char @var{a}) 2069@deftypefnx {Runtime Function} {unsigned long accum} __fractunsqiuda (unsigned char @var{a}) 2070@deftypefnx {Runtime Function} {unsigned long long accum} __fractunsqiuta (unsigned char @var{a}) 2071@deftypefnx {Runtime Function} {short fract} __fractunshiqq (unsigned short @var{a}) 2072@deftypefnx {Runtime Function} {fract} __fractunshihq (unsigned short @var{a}) 2073@deftypefnx {Runtime Function} {long fract} __fractunshisq (unsigned short @var{a}) 2074@deftypefnx {Runtime Function} {long long fract} __fractunshidq (unsigned short @var{a}) 2075@deftypefnx {Runtime Function} {short accum} __fractunshiha (unsigned short @var{a}) 2076@deftypefnx {Runtime Function} {accum} __fractunshisa (unsigned short @var{a}) 2077@deftypefnx {Runtime Function} {long accum} __fractunshida (unsigned short @var{a}) 2078@deftypefnx {Runtime Function} {long long accum} __fractunshita (unsigned short @var{a}) 2079@deftypefnx {Runtime Function} {unsigned short fract} __fractunshiuqq (unsigned short @var{a}) 2080@deftypefnx {Runtime Function} {unsigned fract} __fractunshiuhq (unsigned short @var{a}) 2081@deftypefnx {Runtime Function} {unsigned long fract} __fractunshiusq (unsigned short @var{a}) 2082@deftypefnx {Runtime Function} {unsigned long long fract} __fractunshiudq (unsigned short @var{a}) 2083@deftypefnx {Runtime Function} {unsigned short accum} __fractunshiuha (unsigned short @var{a}) 2084@deftypefnx {Runtime Function} {unsigned accum} __fractunshiusa (unsigned short @var{a}) 2085@deftypefnx {Runtime Function} {unsigned long accum} __fractunshiuda (unsigned short @var{a}) 2086@deftypefnx {Runtime Function} {unsigned long long accum} __fractunshiuta (unsigned short @var{a}) 2087@deftypefnx {Runtime Function} {short fract} __fractunssiqq (unsigned int @var{a}) 2088@deftypefnx {Runtime Function} {fract} __fractunssihq (unsigned int @var{a}) 2089@deftypefnx {Runtime Function} {long fract} __fractunssisq (unsigned int @var{a}) 2090@deftypefnx {Runtime Function} {long long fract} __fractunssidq (unsigned int @var{a}) 2091@deftypefnx {Runtime Function} {short accum} __fractunssiha (unsigned int @var{a}) 2092@deftypefnx {Runtime Function} {accum} __fractunssisa (unsigned int @var{a}) 2093@deftypefnx {Runtime Function} {long accum} __fractunssida (unsigned int @var{a}) 2094@deftypefnx {Runtime Function} {long long accum} __fractunssita (unsigned int @var{a}) 2095@deftypefnx {Runtime Function} {unsigned short fract} __fractunssiuqq (unsigned int @var{a}) 2096@deftypefnx {Runtime Function} {unsigned fract} __fractunssiuhq (unsigned int @var{a}) 2097@deftypefnx {Runtime Function} {unsigned long fract} __fractunssiusq (unsigned int @var{a}) 2098@deftypefnx {Runtime Function} {unsigned long long fract} __fractunssiudq (unsigned int @var{a}) 2099@deftypefnx {Runtime Function} {unsigned short accum} __fractunssiuha (unsigned int @var{a}) 2100@deftypefnx {Runtime Function} {unsigned accum} __fractunssiusa (unsigned int @var{a}) 2101@deftypefnx {Runtime Function} {unsigned long accum} __fractunssiuda (unsigned int @var{a}) 2102@deftypefnx {Runtime Function} {unsigned long long accum} __fractunssiuta (unsigned int @var{a}) 2103@deftypefnx {Runtime Function} {short fract} __fractunsdiqq (unsigned long @var{a}) 2104@deftypefnx {Runtime Function} {fract} __fractunsdihq (unsigned long @var{a}) 2105@deftypefnx {Runtime Function} {long fract} __fractunsdisq (unsigned long @var{a}) 2106@deftypefnx {Runtime Function} {long long fract} __fractunsdidq (unsigned long @var{a}) 2107@deftypefnx {Runtime Function} {short accum} __fractunsdiha (unsigned long @var{a}) 2108@deftypefnx {Runtime Function} {accum} __fractunsdisa (unsigned long @var{a}) 2109@deftypefnx {Runtime Function} {long accum} __fractunsdida (unsigned long @var{a}) 2110@deftypefnx {Runtime Function} {long long accum} __fractunsdita (unsigned long @var{a}) 2111@deftypefnx {Runtime Function} {unsigned short fract} __fractunsdiuqq (unsigned long @var{a}) 2112@deftypefnx {Runtime Function} {unsigned fract} __fractunsdiuhq (unsigned long @var{a}) 2113@deftypefnx {Runtime Function} {unsigned long fract} __fractunsdiusq (unsigned long @var{a}) 2114@deftypefnx {Runtime Function} {unsigned long long fract} __fractunsdiudq (unsigned long @var{a}) 2115@deftypefnx {Runtime Function} {unsigned short accum} __fractunsdiuha (unsigned long @var{a}) 2116@deftypefnx {Runtime Function} {unsigned accum} __fractunsdiusa (unsigned long @var{a}) 2117@deftypefnx {Runtime Function} {unsigned long accum} __fractunsdiuda (unsigned long @var{a}) 2118@deftypefnx {Runtime Function} {unsigned long long accum} __fractunsdiuta (unsigned long @var{a}) 2119@deftypefnx {Runtime Function} {short fract} __fractunstiqq (unsigned long long @var{a}) 2120@deftypefnx {Runtime Function} {fract} __fractunstihq (unsigned long long @var{a}) 2121@deftypefnx {Runtime Function} {long fract} __fractunstisq (unsigned long long @var{a}) 2122@deftypefnx {Runtime Function} {long long fract} __fractunstidq (unsigned long long @var{a}) 2123@deftypefnx {Runtime Function} {short accum} __fractunstiha (unsigned long long @var{a}) 2124@deftypefnx {Runtime Function} {accum} __fractunstisa (unsigned long long @var{a}) 2125@deftypefnx {Runtime Function} {long accum} __fractunstida (unsigned long long @var{a}) 2126@deftypefnx {Runtime Function} {long long accum} __fractunstita (unsigned long long @var{a}) 2127@deftypefnx {Runtime Function} {unsigned short fract} __fractunstiuqq (unsigned long long @var{a}) 2128@deftypefnx {Runtime Function} {unsigned fract} __fractunstiuhq (unsigned long long @var{a}) 2129@deftypefnx {Runtime Function} {unsigned long fract} __fractunstiusq (unsigned long long @var{a}) 2130@deftypefnx {Runtime Function} {unsigned long long fract} __fractunstiudq (unsigned long long @var{a}) 2131@deftypefnx {Runtime Function} {unsigned short accum} __fractunstiuha (unsigned long long @var{a}) 2132@deftypefnx {Runtime Function} {unsigned accum} __fractunstiusa (unsigned long long @var{a}) 2133@deftypefnx {Runtime Function} {unsigned long accum} __fractunstiuda (unsigned long long @var{a}) 2134@deftypefnx {Runtime Function} {unsigned long long accum} __fractunstiuta (unsigned long long @var{a}) 2135These functions convert from fractionals to unsigned non-fractionals; 2136and from unsigned non-fractionals to fractionals, without saturation. 2137@end deftypefn 2138 2139@deftypefn {Runtime Function} {short fract} __satfractunsqiqq (unsigned char @var{a}) 2140@deftypefnx {Runtime Function} {fract} __satfractunsqihq (unsigned char @var{a}) 2141@deftypefnx {Runtime Function} {long fract} __satfractunsqisq (unsigned char @var{a}) 2142@deftypefnx {Runtime Function} {long long fract} __satfractunsqidq (unsigned char @var{a}) 2143@deftypefnx {Runtime Function} {short accum} __satfractunsqiha (unsigned char @var{a}) 2144@deftypefnx {Runtime Function} {accum} __satfractunsqisa (unsigned char @var{a}) 2145@deftypefnx {Runtime Function} {long accum} __satfractunsqida (unsigned char @var{a}) 2146@deftypefnx {Runtime Function} {long long accum} __satfractunsqita (unsigned char @var{a}) 2147@deftypefnx {Runtime Function} {unsigned short fract} __satfractunsqiuqq (unsigned char @var{a}) 2148@deftypefnx {Runtime Function} {unsigned fract} __satfractunsqiuhq (unsigned char @var{a}) 2149@deftypefnx {Runtime Function} {unsigned long fract} __satfractunsqiusq (unsigned char @var{a}) 2150@deftypefnx {Runtime Function} {unsigned long long fract} __satfractunsqiudq (unsigned char @var{a}) 2151@deftypefnx {Runtime Function} {unsigned short accum} __satfractunsqiuha (unsigned char @var{a}) 2152@deftypefnx {Runtime Function} {unsigned accum} __satfractunsqiusa (unsigned char @var{a}) 2153@deftypefnx {Runtime Function} {unsigned long accum} __satfractunsqiuda (unsigned char @var{a}) 2154@deftypefnx {Runtime Function} {unsigned long long accum} __satfractunsqiuta (unsigned char @var{a}) 2155@deftypefnx {Runtime Function} {short fract} __satfractunshiqq (unsigned short @var{a}) 2156@deftypefnx {Runtime Function} {fract} __satfractunshihq (unsigned short @var{a}) 2157@deftypefnx {Runtime Function} {long fract} __satfractunshisq (unsigned short @var{a}) 2158@deftypefnx {Runtime Function} {long long fract} __satfractunshidq (unsigned short @var{a}) 2159@deftypefnx {Runtime Function} {short accum} __satfractunshiha (unsigned short @var{a}) 2160@deftypefnx {Runtime Function} {accum} __satfractunshisa (unsigned short @var{a}) 2161@deftypefnx {Runtime Function} {long accum} __satfractunshida (unsigned short @var{a}) 2162@deftypefnx {Runtime Function} {long long accum} __satfractunshita (unsigned short @var{a}) 2163@deftypefnx {Runtime Function} {unsigned short fract} __satfractunshiuqq (unsigned short @var{a}) 2164@deftypefnx {Runtime Function} {unsigned fract} __satfractunshiuhq (unsigned short @var{a}) 2165@deftypefnx {Runtime Function} {unsigned long fract} __satfractunshiusq (unsigned short @var{a}) 2166@deftypefnx {Runtime Function} {unsigned long long fract} __satfractunshiudq (unsigned short @var{a}) 2167@deftypefnx {Runtime Function} {unsigned short accum} __satfractunshiuha (unsigned short @var{a}) 2168@deftypefnx {Runtime Function} {unsigned accum} __satfractunshiusa (unsigned short @var{a}) 2169@deftypefnx {Runtime Function} {unsigned long accum} __satfractunshiuda (unsigned short @var{a}) 2170@deftypefnx {Runtime Function} {unsigned long long accum} __satfractunshiuta (unsigned short @var{a}) 2171@deftypefnx {Runtime Function} {short fract} __satfractunssiqq (unsigned int @var{a}) 2172@deftypefnx {Runtime Function} {fract} __satfractunssihq (unsigned int @var{a}) 2173@deftypefnx {Runtime Function} {long fract} __satfractunssisq (unsigned int @var{a}) 2174@deftypefnx {Runtime Function} {long long fract} __satfractunssidq (unsigned int @var{a}) 2175@deftypefnx {Runtime Function} {short accum} __satfractunssiha (unsigned int @var{a}) 2176@deftypefnx {Runtime Function} {accum} __satfractunssisa (unsigned int @var{a}) 2177@deftypefnx {Runtime Function} {long accum} __satfractunssida (unsigned int @var{a}) 2178@deftypefnx {Runtime Function} {long long accum} __satfractunssita (unsigned int @var{a}) 2179@deftypefnx {Runtime Function} {unsigned short fract} __satfractunssiuqq (unsigned int @var{a}) 2180@deftypefnx {Runtime Function} {unsigned fract} __satfractunssiuhq (unsigned int @var{a}) 2181@deftypefnx {Runtime Function} {unsigned long fract} __satfractunssiusq (unsigned int @var{a}) 2182@deftypefnx {Runtime Function} {unsigned long long fract} __satfractunssiudq (unsigned int @var{a}) 2183@deftypefnx {Runtime Function} {unsigned short accum} __satfractunssiuha (unsigned int @var{a}) 2184@deftypefnx {Runtime Function} {unsigned accum} __satfractunssiusa (unsigned int @var{a}) 2185@deftypefnx {Runtime Function} {unsigned long accum} __satfractunssiuda (unsigned int @var{a}) 2186@deftypefnx {Runtime Function} {unsigned long long accum} __satfractunssiuta (unsigned int @var{a}) 2187@deftypefnx {Runtime Function} {short fract} __satfractunsdiqq (unsigned long @var{a}) 2188@deftypefnx {Runtime Function} {fract} __satfractunsdihq (unsigned long @var{a}) 2189@deftypefnx {Runtime Function} {long fract} __satfractunsdisq (unsigned long @var{a}) 2190@deftypefnx {Runtime Function} {long long fract} __satfractunsdidq (unsigned long @var{a}) 2191@deftypefnx {Runtime Function} {short accum} __satfractunsdiha (unsigned long @var{a}) 2192@deftypefnx {Runtime Function} {accum} __satfractunsdisa (unsigned long @var{a}) 2193@deftypefnx {Runtime Function} {long accum} __satfractunsdida (unsigned long @var{a}) 2194@deftypefnx {Runtime Function} {long long accum} __satfractunsdita (unsigned long @var{a}) 2195@deftypefnx {Runtime Function} {unsigned short fract} __satfractunsdiuqq (unsigned long @var{a}) 2196@deftypefnx {Runtime Function} {unsigned fract} __satfractunsdiuhq (unsigned long @var{a}) 2197@deftypefnx {Runtime Function} {unsigned long fract} __satfractunsdiusq (unsigned long @var{a}) 2198@deftypefnx {Runtime Function} {unsigned long long fract} __satfractunsdiudq (unsigned long @var{a}) 2199@deftypefnx {Runtime Function} {unsigned short accum} __satfractunsdiuha (unsigned long @var{a}) 2200@deftypefnx {Runtime Function} {unsigned accum} __satfractunsdiusa (unsigned long @var{a}) 2201@deftypefnx {Runtime Function} {unsigned long accum} __satfractunsdiuda (unsigned long @var{a}) 2202@deftypefnx {Runtime Function} {unsigned long long accum} __satfractunsdiuta (unsigned long @var{a}) 2203@deftypefnx {Runtime Function} {short fract} __satfractunstiqq (unsigned long long @var{a}) 2204@deftypefnx {Runtime Function} {fract} __satfractunstihq (unsigned long long @var{a}) 2205@deftypefnx {Runtime Function} {long fract} __satfractunstisq (unsigned long long @var{a}) 2206@deftypefnx {Runtime Function} {long long fract} __satfractunstidq (unsigned long long @var{a}) 2207@deftypefnx {Runtime Function} {short accum} __satfractunstiha (unsigned long long @var{a}) 2208@deftypefnx {Runtime Function} {accum} __satfractunstisa (unsigned long long @var{a}) 2209@deftypefnx {Runtime Function} {long accum} __satfractunstida (unsigned long long @var{a}) 2210@deftypefnx {Runtime Function} {long long accum} __satfractunstita (unsigned long long @var{a}) 2211@deftypefnx {Runtime Function} {unsigned short fract} __satfractunstiuqq (unsigned long long @var{a}) 2212@deftypefnx {Runtime Function} {unsigned fract} __satfractunstiuhq (unsigned long long @var{a}) 2213@deftypefnx {Runtime Function} {unsigned long fract} __satfractunstiusq (unsigned long long @var{a}) 2214@deftypefnx {Runtime Function} {unsigned long long fract} __satfractunstiudq (unsigned long long @var{a}) 2215@deftypefnx {Runtime Function} {unsigned short accum} __satfractunstiuha (unsigned long long @var{a}) 2216@deftypefnx {Runtime Function} {unsigned accum} __satfractunstiusa (unsigned long long @var{a}) 2217@deftypefnx {Runtime Function} {unsigned long accum} __satfractunstiuda (unsigned long long @var{a}) 2218@deftypefnx {Runtime Function} {unsigned long long accum} __satfractunstiuta (unsigned long long @var{a}) 2219These functions convert from unsigned non-fractionals to fractionals, 2220with saturation. 2221@end deftypefn 2222 2223@node Exception handling routines 2224@section Language-independent routines for exception handling 2225 2226document me! 2227 2228@smallexample 2229 _Unwind_DeleteException 2230 _Unwind_Find_FDE 2231 _Unwind_ForcedUnwind 2232 _Unwind_GetGR 2233 _Unwind_GetIP 2234 _Unwind_GetLanguageSpecificData 2235 _Unwind_GetRegionStart 2236 _Unwind_GetTextRelBase 2237 _Unwind_GetDataRelBase 2238 _Unwind_RaiseException 2239 _Unwind_Resume 2240 _Unwind_SetGR 2241 _Unwind_SetIP 2242 _Unwind_FindEnclosingFunction 2243 _Unwind_SjLj_Register 2244 _Unwind_SjLj_Unregister 2245 _Unwind_SjLj_RaiseException 2246 _Unwind_SjLj_ForcedUnwind 2247 _Unwind_SjLj_Resume 2248 __deregister_frame 2249 __deregister_frame_info 2250 __deregister_frame_info_bases 2251 __register_frame 2252 __register_frame_info 2253 __register_frame_info_bases 2254 __register_frame_info_table 2255 __register_frame_info_table_bases 2256 __register_frame_table 2257@end smallexample 2258 2259@node Miscellaneous routines 2260@section Miscellaneous runtime library routines 2261 2262@subsection Cache control functions 2263@deftypefn {Runtime Function} void __clear_cache (char *@var{beg}, char *@var{end}) 2264This function clears the instruction cache between @var{beg} and @var{end}. 2265@end deftypefn 2266 2267@subsection Split stack functions and variables 2268@deftypefn {Runtime Function} {void *} __splitstack_find (void *@var{segment_arg}, @ 2269void *@var{sp}, size_t @var{len}, void **@var{next_segment}, @ 2270void **@var{next_sp}, void **@var{initial_sp}) 2271When using @option{-fsplit-stack}, this call may be used to iterate 2272over the stack segments. It may be called like this: 2273@smallexample 2274 void *next_segment = NULL; 2275 void *next_sp = NULL; 2276 void *initial_sp = NULL; 2277 void *stack; 2278 size_t stack_size; 2279 while ((stack = __splitstack_find (next_segment, next_sp, 2280 &stack_size, &next_segment, 2281 &next_sp, &initial_sp)) 2282 != NULL) 2283 @{ 2284 /* Stack segment starts at stack and is 2285 stack_size bytes long. */ 2286 @} 2287@end smallexample 2288 2289There is no way to iterate over the stack segments of a different 2290thread. However, what is permitted is for one thread to call this 2291with the @var{segment_arg} and @var{sp} arguments NULL, to pass 2292@var{next_segment}, @var{next_sp}, and @var{initial_sp} to a different 2293thread, and then to suspend one way or another. A different thread 2294may run the subsequent @code{__splitstack_find} iterations. Of 2295course, this will only work if the first thread is suspended while the 2296second thread is calling @code{__splitstack_find}. If not, the second 2297thread could be looking at the stack while it is changing, and 2298anything could happen. 2299@end deftypefn 2300 2301@defvar __morestack_segments 2302@defvarx __morestack_current_segment 2303@defvarx __morestack_initial_sp 2304Internal variables used by the @option{-fsplit-stack} implementation. 2305@end defvar 2306