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