gcc/doc/libgcc.texi

   1 @c Copyright (C) 2003, 2004, 2005, 2006, 2007, 2010
   2 @c Free Software Foundation, Inc.
   3 @c This is part of the GCC manual.
   4 @c For copying conditions, see the file gcc.texi.
   5 @c Contributed by Aldy Hernandez <aldy@quesejoda.com>
   6
   7 @node Libgcc
   8 @chapter The GCC low-level runtime library
   9
  10 GCC provides a low-level runtime library, @file{libgcc.a} or
  11 @file{libgcc_s.so.1} on some platforms.  GCC generates calls to
  12 routines in this library automatically, whenever it needs to perform
  13 some operation that is too complicated to emit inline code for.
  14
  15 Most of the routines in @code{libgcc} handle arithmetic operations
  16 that the target processor cannot perform directly.  This includes
  17 integer multiply and divide on some machines, and all floating-point
  18 and fixed-point operations on other machines.  @code{libgcc} also includes
  19 routines for exception handling, and a handful of miscellaneous operations.
  20
  21 Some of these routines can be defined in mostly machine-independent C@.
  22 Others must be hand-written in assembly language for each processor
  23 that needs them.
  24
  25 GCC will also generate calls to C library routines, such as
  26 @code{memcpy} and @code{memset}, in some cases.  The set of routines
  27 that GCC may possibly use is documented in @ref{Other
  28 Builtins,,,gcc, Using the GNU Compiler Collection (GCC)}.
  29
  30 These routines take arguments and return values of a specific machine
  31 mode, not a specific C type.  @xref{Machine Modes}, for an explanation
  32 of this concept.  For illustrative purposes, in this chapter the
  33 floating point type @code{float} is assumed to correspond to @code{SFmode};
  34 @code{double} to @code{DFmode}; and @code{@w{long double}} to both
  35 @code{TFmode} and @code{XFmode}.  Similarly, the integer types @code{int}
  36 and @code{@w{unsigned int}} correspond to @code{SImode}; @code{long} and
  37 @code{@w{unsigned long}} to @code{DImode}; and @code{@w{long long}} and
  38 @code{@w{unsigned long long}} to @code{TImode}.
  39
  40 @menu
  41 * Integer library routines::
  42 * Soft float library routines::
  43 * Decimal float library routines::
  44 * Fixed-point fractional library routines::
  45 * Exception handling routines::
  46 * Miscellaneous routines::
  47 @end menu
  48
  49 @node Integer library routines
  50 @section Routines for integer arithmetic
  51
  52 The integer arithmetic routines are used on platforms that don't provide
  53 hardware support for arithmetic operations on some modes.
  54
  55 @subsection Arithmetic functions
  56
  57 @deftypefn {Runtime Function} int __ashlsi3 (int @var{a}, int @var{b})
  58 @deftypefnx {Runtime Function} long __ashldi3 (long @var{a}, int @var{b})
  59 @deftypefnx {Runtime Function} {long long} __ashlti3 (long long @var{a}, int @var{b})
  60 These functions return the result of shifting @var{a} left by @var{b} bits.
  61 @end deftypefn
  62
  63 @deftypefn {Runtime Function} int __ashrsi3 (int @var{a}, int @var{b})
  64 @deftypefnx {Runtime Function} long __ashrdi3 (long @var{a}, int @var{b})
  65 @deftypefnx {Runtime Function} {long long} __ashrti3 (long long @var{a}, int @var{b})
  66 These functions return the result of arithmetically shifting @var{a} right
  67 by @var{b} bits.
  68 @end deftypefn
  69
  70 @deftypefn {Runtime Function} int __divsi3 (int @var{a}, int @var{b})
  71 @deftypefnx {Runtime Function} long __divdi3 (long @var{a}, long @var{b})
  72 @deftypefnx {Runtime Function} {long long} __divti3 (long long @var{a}, long long @var{b})
  73 These functions return the quotient of the signed division of @var{a} and
  74 @var{b}.
  75 @end deftypefn
  76
  77 @deftypefn {Runtime Function} int __lshrsi3 (int @var{a}, int @var{b})
  78 @deftypefnx {Runtime Function} long __lshrdi3 (long @var{a}, int @var{b})
  79 @deftypefnx {Runtime Function} {long long} __lshrti3 (long long @var{a}, int @var{b})
  80 These functions return the result of logically shifting @var{a} right by
  81 @var{b} bits.
  82 @end deftypefn
  83
  84 @deftypefn {Runtime Function} int __modsi3 (int @var{a}, int @var{b})
  85 @deftypefnx {Runtime Function} long __moddi3 (long @var{a}, long @var{b})
  86 @deftypefnx {Runtime Function} {long long} __modti3 (long long @var{a}, long long @var{b})
  87 These functions return the remainder of the signed division of @var{a}
  88 and @var{b}.
  89 @end deftypefn
  90
  91 @deftypefn {Runtime Function} int __mulsi3 (int @var{a}, int @var{b})
  92 @deftypefnx {Runtime Function} long __muldi3 (long @var{a}, long @var{b})
  93 @deftypefnx {Runtime Function} {long long} __multi3 (long long @var{a}, long long @var{b})
  94 These functions return the product of @var{a} and @var{b}.
  95 @end deftypefn
  96
  97 @deftypefn {Runtime Function} long __negdi2 (long @var{a})
  98 @deftypefnx {Runtime Function} {long long} __negti2 (long long @var{a})
  99 These functions return the negation of @var{a}.
 100 @end deftypefn
 101
 102 @deftypefn {Runtime Function} {unsigned int} __udivsi3 (unsigned int @var{a}, unsigned int @var{b})
 103 @deftypefnx {Runtime Function} {unsigned long} __udivdi3 (unsigned long @var{a}, unsigned long @var{b})
 104 @deftypefnx {Runtime Function} {unsigned long long} __udivti3 (unsigned long long @var{a}, unsigned long long @var{b})
 105 These functions return the quotient of the unsigned division of @var{a}
 106 and @var{b}.
 107 @end deftypefn
 108
 109 @deftypefn {Runtime Function} {unsigned long} __udivmoddi3 (unsigned long @var{a}, unsigned long @var{b}, unsigned long *@var{c})
 110 @deftypefnx {Runtime Function} {unsigned long long} __udivti3 (unsigned long long @var{a}, unsigned long long @var{b}, unsigned long long *@var{c})
 111 These functions calculate both the quotient and remainder of the unsigned
 112 division of @var{a} and @var{b}.  The return value is the quotient, and
 113 the remainder is placed in variable pointed to by @var{c}.
 114 @end deftypefn
 115
 116 @deftypefn {Runtime Function} {unsigned int} __umodsi3 (unsigned int @var{a}, unsigned int @var{b})
 117 @deftypefnx {Runtime Function} {unsigned long} __umoddi3 (unsigned long @var{a}, unsigned long @var{b})
 118 @deftypefnx {Runtime Function} {unsigned long long} __umodti3 (unsigned long long @var{a}, unsigned long long @var{b})
 119 These functions return the remainder of the unsigned division of @var{a}
 120 and @var{b}.
 121 @end deftypefn
 122
 123 @subsection Comparison functions
 124
 125 The following functions implement integral comparisons.  These functions
 126 implement a low-level compare, upon which the higher level comparison
 127 operators (such as less than and greater than or equal to) can be
 128 constructed.  The returned values lie in the range zero to two, to allow
 129 the high-level operators to be implemented by testing the returned
 130 result using either signed or unsigned comparison.
 131
 132 @deftypefn {Runtime Function} int __cmpdi2 (long @var{a}, long @var{b})
 133 @deftypefnx {Runtime Function} int __cmpti2 (long long @var{a}, long long @var{b})
 134 These functions perform a signed comparison of @var{a} and @var{b}.  If
 135 @var{a} is less than @var{b}, they return 0; if @var{a} is greater than
 136 @var{b}, they return 2; and if @var{a} and @var{b} are equal they return 1.
 137 @end deftypefn
 138
 139 @deftypefn {Runtime Function} int __ucmpdi2 (unsigned long @var{a}, unsigned long @var{b})
 140 @deftypefnx {Runtime Function} int __ucmpti2 (unsigned long long @var{a}, unsigned long long @var{b})
 141 These functions perform an unsigned comparison of @var{a} and @var{b}.
 142 If @var{a} is less than @var{b}, they return 0; if @var{a} is greater than
 143 @var{b}, they return 2; and if @var{a} and @var{b} are equal they return 1.
 144 @end deftypefn
 145
 146 @subsection Trapping arithmetic functions
 147
 148 The following functions implement trapping arithmetic.  These functions
 149 call the libc function @code{abort} upon signed arithmetic overflow.
 150
 151 @deftypefn {Runtime Function} int __absvsi2 (int @var{a})
 152 @deftypefnx {Runtime Function} long __absvdi2 (long @var{a})
 153 These functions return the absolute value of @var{a}.
 154 @end deftypefn
 155
 156 @deftypefn {Runtime Function} int __addvsi3 (int @var{a}, int @var{b})
 157 @deftypefnx {Runtime Function} long __addvdi3 (long @var{a}, long @var{b})
 158 These functions return the sum of @var{a} and @var{b}; that is
 159 @code{@var{a} + @var{b}}.
 160 @end deftypefn
 161
 162 @deftypefn {Runtime Function} int __mulvsi3 (int @var{a}, int @var{b})
 163 @deftypefnx {Runtime Function} long __mulvdi3 (long @var{a}, long @var{b})
 164 The functions return the product of @var{a} and @var{b}; that is
 165 @code{@var{a} * @var{b}}.
 166 @end deftypefn
 167
 168 @deftypefn {Runtime Function} int __negvsi2 (int @var{a})
 169 @deftypefnx {Runtime Function} long __negvdi2 (long @var{a})
 170 These functions return the negation of @var{a}; that is @code{-@var{a}}.
 171 @end deftypefn
 172
 173 @deftypefn {Runtime Function} int __subvsi3 (int @var{a}, int @var{b})
 174 @deftypefnx {Runtime Function} long __subvdi3 (long @var{a}, long @var{b})
 175 These functions return the difference between @var{b} and @var{a};
 176 that is @code{@var{a} - @var{b}}.
 177 @end deftypefn
 178
 179 @subsection Bit operations
 180
 181 @deftypefn {Runtime Function} int __clzsi2 (int @var{a})
 182 @deftypefnx {Runtime Function} int __clzdi2 (long @var{a})
 183 @deftypefnx {Runtime Function} int __clzti2 (long long @var{a})
 184 These functions return the number of leading 0-bits in @var{a}, starting
 185 at the most significant bit position.  If @var{a} is zero, the result is
 186 undefined.
 187 @end deftypefn
 188
 189 @deftypefn {Runtime Function} int __ctzsi2 (int @var{a})
 190 @deftypefnx {Runtime Function} int __ctzdi2 (long @var{a})
 191 @deftypefnx {Runtime Function} int __ctzti2 (long long @var{a})
 192 These functions return the number of trailing 0-bits in @var{a}, starting
 193 at the least significant bit position.  If @var{a} is zero, the result is
 194 undefined.
 195 @end deftypefn
 196
 197 @deftypefn {Runtime Function} int __ffsdi2 (long @var{a})
 198 @deftypefnx {Runtime Function} int __ffsti2 (long long @var{a})
 199 These functions return the index of the least significant 1-bit in @var{a},
 200 or the value zero if @var{a} is zero.  The least significant bit is index
 201 one.
 202 @end deftypefn
 203
 204 @deftypefn {Runtime Function} int __paritysi2 (int @var{a})
 205 @deftypefnx {Runtime Function} int __paritydi2 (long @var{a})
 206 @deftypefnx {Runtime Function} int __parityti2 (long long @var{a})
 207 These functions return the value zero if the number of bits set in
 208 @var{a} is even, and the value one otherwise.
 209 @end deftypefn
 210
 211 @deftypefn {Runtime Function} int __popcountsi2 (int @var{a})
 212 @deftypefnx {Runtime Function} int __popcountdi2 (long @var{a})
 213 @deftypefnx {Runtime Function} int __popcountti2 (long long @var{a})
 214 These functions return the number of bits set in @var{a}.
 215 @end deftypefn
 216
 217 @deftypefn {Runtime Function} int32_t __bswapsi2 (int32_t @var{a})
 218 @deftypefnx {Runtime Function} int64_t __bswapdi2 (int64_t @var{a})
 219 These functions return the @var{a} byteswapped.
 220 @end deftypefn
 221
 222 @node Soft float library routines
 223 @section Routines for floating point emulation
 224 @cindex soft float library
 225 @cindex arithmetic library
 226 @cindex math library
 227 @opindex msoft-float
 228
 229 The software floating point library is used on machines which do not
 230 have hardware support for floating point.  It is also used whenever
 231 @option{-msoft-float} is used to disable generation of floating point
 232 instructions.  (Not all targets support this switch.)
 233
 234 For compatibility with other compilers, the floating point emulation
 235 routines can be renamed with the @code{DECLARE_LIBRARY_RENAMES} macro
 236 (@pxref{Library Calls}).  In this section, the default names are used.
 237
 238 Presently the library does not support @code{XFmode}, which is used
 239 for @code{long double} on some architectures.
 240
 241 @subsection Arithmetic functions
 242
 243 @deftypefn {Runtime Function} float __addsf3 (float @var{a}, float @var{b})
 244 @deftypefnx {Runtime Function} double __adddf3 (double @var{a}, double @var{b})
 245 @deftypefnx {Runtime Function} {long double} __addtf3 (long double @var{a}, long double @var{b})
 246 @deftypefnx {Runtime Function} {long double} __addxf3 (long double @var{a}, long double @var{b})
 247 These functions return the sum of @var{a} and @var{b}.
 248 @end deftypefn
 249
 250 @deftypefn {Runtime Function} float __subsf3 (float @var{a}, float @var{b})
 251 @deftypefnx {Runtime Function} double __subdf3 (double @var{a}, double @var{b})
 252 @deftypefnx {Runtime Function} {long double} __subtf3 (long double @var{a}, long double @var{b})
 253 @deftypefnx {Runtime Function} {long double} __subxf3 (long double @var{a}, long double @var{b})
 254 These functions return the difference between @var{b} and @var{a};
 255 that is, @w{@math{@var{a} - @var{b}}}.
 256 @end deftypefn
 257
 258 @deftypefn {Runtime Function} float __mulsf3 (float @var{a}, float @var{b})
 259 @deftypefnx {Runtime Function} double __muldf3 (double @var{a}, double @var{b})
 260 @deftypefnx {Runtime Function} {long double} __multf3 (long double @var{a}, long double @var{b})
 261 @deftypefnx {Runtime Function} {long double} __mulxf3 (long double @var{a}, long double @var{b})
 262 These functions return the product of @var{a} and @var{b}.
 263 @end deftypefn
 264
 265 @deftypefn {Runtime Function} float __divsf3 (float @var{a}, float @var{b})
 266 @deftypefnx {Runtime Function} double __divdf3 (double @var{a}, double @var{b})
 267 @deftypefnx {Runtime Function} {long double} __divtf3 (long double @var{a}, long double @var{b})
 268 @deftypefnx {Runtime Function} {long double} __divxf3 (long double @var{a}, long double @var{b})
 269 These functions return the quotient of @var{a} and @var{b}; that is,
 270 @w{@math{@var{a} / @var{b}}}.
 271 @end deftypefn
 272
 273 @deftypefn {Runtime Function} float __negsf2 (float @var{a})
 274 @deftypefnx {Runtime Function} double __negdf2 (double @var{a})
 275 @deftypefnx {Runtime Function} {long double} __negtf2 (long double @var{a})
 276 @deftypefnx {Runtime Function} {long double} __negxf2 (long double @var{a})
 277 These functions return the negation of @var{a}.  They simply flip the
 278 sign bit, so they can produce negative zero and negative NaN@.
 279 @end deftypefn
 280
 281 @subsection Conversion functions
 282
 283 @deftypefn {Runtime Function} double __extendsfdf2 (float @var{a})
 284 @deftypefnx {Runtime Function} {long double} __extendsftf2 (float @var{a})
 285 @deftypefnx {Runtime Function} {long double} __extendsfxf2 (float @var{a})
 286 @deftypefnx {Runtime Function} {long double} __extenddftf2 (double @var{a})
 287 @deftypefnx {Runtime Function} {long double} __extenddfxf2 (double @var{a})
 288 These functions extend @var{a} to the wider mode of their return
 289 type.
 290 @end deftypefn
 291
 292 @deftypefn {Runtime Function} double __truncxfdf2 (long double @var{a})
 293 @deftypefnx {Runtime Function} double __trunctfdf2 (long double @var{a})
 294 @deftypefnx {Runtime Function} float __truncxfsf2 (long double @var{a})
 295 @deftypefnx {Runtime Function} float __trunctfsf2 (long double @var{a})
 296 @deftypefnx {Runtime Function} float __truncdfsf2 (double @var{a})
 297 These functions truncate @var{a} to the narrower mode of their return
 298 type, rounding toward zero.
 299 @end deftypefn
 300
 301 @deftypefn {Runtime Function} int __fixsfsi (float @var{a})
 302 @deftypefnx {Runtime Function} int __fixdfsi (double @var{a})
 303 @deftypefnx {Runtime Function} int __fixtfsi (long double @var{a})
 304 @deftypefnx {Runtime Function} int __fixxfsi (long double @var{a})
 305 These functions convert @var{a} to a signed integer, rounding toward zero.
 306 @end deftypefn
 307
 308 @deftypefn {Runtime Function} long __fixsfdi (float @var{a})
 309 @deftypefnx {Runtime Function} long __fixdfdi (double @var{a})
 310 @deftypefnx {Runtime Function} long __fixtfdi (long double @var{a})
 311 @deftypefnx {Runtime Function} long __fixxfdi (long double @var{a})
 312 These functions convert @var{a} to a signed long, rounding toward zero.
 313 @end deftypefn
 314
 315 @deftypefn {Runtime Function} {long long} __fixsfti (float @var{a})
 316 @deftypefnx {Runtime Function} {long long} __fixdfti (double @var{a})
 317 @deftypefnx {Runtime Function} {long long} __fixtfti (long double @var{a})
 318 @deftypefnx {Runtime Function} {long long} __fixxfti (long double @var{a})
 319 These functions convert @var{a} to a signed long long, rounding toward zero.
 320 @end deftypefn
 321
 322 @deftypefn {Runtime Function} {unsigned int} __fixunssfsi (float @var{a})
 323 @deftypefnx {Runtime Function} {unsigned int} __fixunsdfsi (double @var{a})
 324 @deftypefnx {Runtime Function} {unsigned int} __fixunstfsi (long double @var{a})
 325 @deftypefnx {Runtime Function} {unsigned int} __fixunsxfsi (long double @var{a})
 326 These functions convert @var{a} to an unsigned integer, rounding
 327 toward zero.  Negative values all become zero.
 328 @end deftypefn
 329
 330 @deftypefn {Runtime Function} {unsigned long} __fixunssfdi (float @var{a})
 331 @deftypefnx {Runtime Function} {unsigned long} __fixunsdfdi (double @var{a})
 332 @deftypefnx {Runtime Function} {unsigned long} __fixunstfdi (long double @var{a})
 333 @deftypefnx {Runtime Function} {unsigned long} __fixunsxfdi (long double @var{a})
 334 These functions convert @var{a} to an unsigned long, rounding
 335 toward zero.  Negative values all become zero.
 336 @end deftypefn
 337
 338 @deftypefn {Runtime Function} {unsigned long long} __fixunssfti (float @var{a})
 339 @deftypefnx {Runtime Function} {unsigned long long} __fixunsdfti (double @var{a})
 340 @deftypefnx {Runtime Function} {unsigned long long} __fixunstfti (long double @var{a})
 341 @deftypefnx {Runtime Function} {unsigned long long} __fixunsxfti (long double @var{a})
 342 These functions convert @var{a} to an unsigned long long, rounding
 343 toward zero.  Negative values all become zero.
 344 @end deftypefn
 345
 346 @deftypefn {Runtime Function} float __floatsisf (int @var{i})
 347 @deftypefnx {Runtime Function} double __floatsidf (int @var{i})
 348 @deftypefnx {Runtime Function} {long double} __floatsitf (int @var{i})
 349 @deftypefnx {Runtime Function} {long double} __floatsixf (int @var{i})
 350 These functions convert @var{i}, a signed integer, to floating point.
 351 @end deftypefn
 352
 353 @deftypefn {Runtime Function} float __floatdisf (long @var{i})
 354 @deftypefnx {Runtime Function} double __floatdidf (long @var{i})
 355 @deftypefnx {Runtime Function} {long double} __floatditf (long @var{i})
 356 @deftypefnx {Runtime Function} {long double} __floatdixf (long @var{i})
 357 These functions convert @var{i}, a signed long, to floating point.
 358 @end deftypefn
 359
 360 @deftypefn {Runtime Function} float __floattisf (long long @var{i})
 361 @deftypefnx {Runtime Function} double __floattidf (long long @var{i})
 362 @deftypefnx {Runtime Function} {long double} __floattitf (long long @var{i})
 363 @deftypefnx {Runtime Function} {long double} __floattixf (long long @var{i})
 364 These functions convert @var{i}, a signed long long, to floating point.
 365 @end deftypefn
 366
 367 @deftypefn {Runtime Function} float __floatunsisf (unsigned int @var{i})
 368 @deftypefnx {Runtime Function} double __floatunsidf (unsigned int @var{i})
 369 @deftypefnx {Runtime Function} {long double} __floatunsitf (unsigned int @var{i})
 370 @deftypefnx {Runtime Function} {long double} __floatunsixf (unsigned int @var{i})
 371 These functions convert @var{i}, an unsigned integer, to floating point.
 372 @end deftypefn
 373
 374 @deftypefn {Runtime Function} float __floatundisf (unsigned long @var{i})
 375 @deftypefnx {Runtime Function} double __floatundidf (unsigned long @var{i})
 376 @deftypefnx {Runtime Function} {long double} __floatunditf (unsigned long @var{i})
 377 @deftypefnx {Runtime Function} {long double} __floatundixf (unsigned long @var{i})
 378 These functions convert @var{i}, an unsigned long, to floating point.
 379 @end deftypefn
 380
 381 @deftypefn {Runtime Function} float __floatuntisf (unsigned long long @var{i})
 382 @deftypefnx {Runtime Function} double __floatuntidf (unsigned long long @var{i})
 383 @deftypefnx {Runtime Function} {long double} __floatuntitf (unsigned long long @var{i})
 384 @deftypefnx {Runtime Function} {long double} __floatuntixf (unsigned long long @var{i})
 385 These functions convert @var{i}, an unsigned long long, to floating point.
 386 @end deftypefn
 387
 388 @subsection Comparison functions
 389
 390 There are two sets of basic comparison functions.
 391
 392 @deftypefn {Runtime Function} int __cmpsf2 (float @var{a}, float @var{b})
 393 @deftypefnx {Runtime Function} int __cmpdf2 (double @var{a}, double @var{b})
 394 @deftypefnx {Runtime Function} int __cmptf2 (long double @var{a}, long double @var{b})
 395 These functions calculate @math{a <=> b}.  That is, if @var{a} is less
 396 than @var{b}, they return @minus{}1; if @var{a} is greater than @var{b}, they
 397 return 1; and if @var{a} and @var{b} are equal they return 0.  If
 398 either argument is NaN they return 1, but you should not rely on this;
 399 if NaN is a possibility, use one of the higher-level comparison
 400 functions.
 401 @end deftypefn
 402
 403 @deftypefn {Runtime Function} int __unordsf2 (float @var{a}, float @var{b})
 404 @deftypefnx {Runtime Function} int __unorddf2 (double @var{a}, double @var{b})
 405 @deftypefnx {Runtime Function} int __unordtf2 (long double @var{a}, long double @var{b})
 406 These functions return a nonzero value if either argument is NaN, otherwise 0.
 407 @end deftypefn
 408
 409 There is also a complete group of higher level functions which
 410 correspond directly to comparison operators.  They implement the ISO C
 411 semantics for floating-point comparisons, taking NaN into account.
 412 Pay careful attention to the return values defined for each set.
 413 Under the hood, all of these routines are implemented as
 414
 415 @smallexample
 416   if (__unord@var{X}f2 (a, b))
 417     return @var{E};
 418   return __cmp@var{X}f2 (a, b);
 419 @end smallexample
 420
 421 @noindent
 422 where @var{E} is a constant chosen to give the proper behavior for
 423 NaN@.  Thus, the meaning of the return value is different for each set.
 424 Do not rely on this implementation; only the semantics documented
 425 below are guaranteed.
 426
 427 @deftypefn {Runtime Function} int __eqsf2 (float @var{a}, float @var{b})
 428 @deftypefnx {Runtime Function} int __eqdf2 (double @var{a}, double @var{b})
 429 @deftypefnx {Runtime Function} int __eqtf2 (long double @var{a}, long double @var{b})
 430 These functions return zero if neither argument is NaN, and @var{a} and
 431 @var{b} are equal.
 432 @end deftypefn
 433
 434 @deftypefn {Runtime Function} int __nesf2 (float @var{a}, float @var{b})
 435 @deftypefnx {Runtime Function} int __nedf2 (double @var{a}, double @var{b})
 436 @deftypefnx {Runtime Function} int __netf2 (long double @var{a}, long double @var{b})
 437 These functions return a nonzero value if either argument is NaN, or
 438 if @var{a} and @var{b} are unequal.
 439 @end deftypefn
 440
 441 @deftypefn {Runtime Function} int __gesf2 (float @var{a}, float @var{b})
 442 @deftypefnx {Runtime Function} int __gedf2 (double @var{a}, double @var{b})
 443 @deftypefnx {Runtime Function} int __getf2 (long double @var{a}, long double @var{b})
 444 These functions return a value greater than or equal to zero if
 445 neither argument is NaN, and @var{a} is greater than or equal to
 446 @var{b}.
 447 @end deftypefn
 448
 449 @deftypefn {Runtime Function} int __ltsf2 (float @var{a}, float @var{b})
 450 @deftypefnx {Runtime Function} int __ltdf2 (double @var{a}, double @var{b})
 451 @deftypefnx {Runtime Function} int __lttf2 (long double @var{a}, long double @var{b})
 452 These functions return a value less than zero if neither argument is
 453 NaN, and @var{a} is strictly less than @var{b}.
 454 @end deftypefn
 455
 456 @deftypefn {Runtime Function} int __lesf2 (float @var{a}, float @var{b})
 457 @deftypefnx {Runtime Function} int __ledf2 (double @var{a}, double @var{b})
 458 @deftypefnx {Runtime Function} int __letf2 (long double @var{a}, long double @var{b})
 459 These functions return a value less than or equal to zero if neither
 460 argument is NaN, and @var{a} is less than or equal to @var{b}.
 461 @end deftypefn
 462
 463 @deftypefn {Runtime Function} int __gtsf2 (float @var{a}, float @var{b})
 464 @deftypefnx {Runtime Function} int __gtdf2 (double @var{a}, double @var{b})
 465 @deftypefnx {Runtime Function} int __gttf2 (long double @var{a}, long double @var{b})
 466 These functions return a value greater than zero if neither argument
 467 is NaN, and @var{a} is strictly greater than @var{b}.
 468 @end deftypefn
 469
 470 @subsection Other floating-point functions
 471
 472 @deftypefn {Runtime Function} float __powisf2 (float @var{a}, int @var{b})
 473 @deftypefnx {Runtime Function} double __powidf2 (double @var{a}, int @var{b})
 474 @deftypefnx {Runtime Function} {long double} __powitf2 (long double @var{a}, int @var{b})
 475 @deftypefnx {Runtime Function} {long double} __powixf2 (long double @var{a}, int @var{b})
 476 These functions convert raise @var{a} to the power @var{b}.
 477 @end deftypefn
 478
 479 @deftypefn {Runtime Function} {complex float} __mulsc3 (float @var{a}, float @var{b}, float @var{c}, float @var{d})
 480 @deftypefnx {Runtime Function} {complex double} __muldc3 (double @var{a}, double @var{b}, double @var{c}, double @var{d})
 481 @deftypefnx {Runtime Function} {complex long double} __multc3 (long double @var{a}, long double @var{b}, long double @var{c}, long double @var{d})
 482 @deftypefnx {Runtime Function} {complex long double} __mulxc3 (long double @var{a}, long double @var{b}, long double @var{c}, long double @var{d})
 483 These functions return the product of @math{@var{a} + i@var{b}} and
 484 @math{@var{c} + i@var{d}}, following the rules of C99 Annex G@.
 485 @end deftypefn
 486
 487 @deftypefn {Runtime Function} {complex float} __divsc3 (float @var{a}, float @var{b}, float @var{c}, float @var{d})
 488 @deftypefnx {Runtime Function} {complex double} __divdc3 (double @var{a}, double @var{b}, double @var{c}, double @var{d})
 489 @deftypefnx {Runtime Function} {complex long double} __divtc3 (long double @var{a}, long double @var{b}, long double @var{c}, long double @var{d})
 490 @deftypefnx {Runtime Function} {complex long double} __divxc3 (long double @var{a}, long double @var{b}, long double @var{c}, long double @var{d})
 491 These functions return the quotient of @math{@var{a} + i@var{b}} and
 492 @math{@var{c} + i@var{d}} (i.e., @math{(@var{a} + i@var{b}) / (@var{c}
 493 + i@var{d})}), following the rules of C99 Annex G@.
 494 @end deftypefn
 495
 496 @node Decimal float library routines
 497 @section Routines for decimal floating point emulation
 498 @cindex decimal float library
 499 @cindex IEEE 754-2008
 500
 501 The software decimal floating point library implements IEEE 754-2008
 502 decimal floating point arithmetic and is only activated on selected
 503 targets.
 504
 505 The software decimal floating point library supports either DPD
 506 (Densely Packed Decimal) or BID (Binary Integer Decimal) encoding
 507 as selected at configure time.
 508
 509
 510 @subsection Arithmetic functions
 511
 512 @deftypefn {Runtime Function} _Decimal32 __dpd_addsd3 (_Decimal32 @var{a}, _Decimal32 @var{b})
 513 @deftypefnx {Runtime Function} _Decimal32 __bid_addsd3 (_Decimal32 @var{a}, _Decimal32 @var{b})
 514 @deftypefnx {Runtime Function} _Decimal64 __dpd_adddd3 (_Decimal64 @var{a}, _Decimal64 @var{b})
 515 @deftypefnx {Runtime Function} _Decimal64 __bid_adddd3 (_Decimal64 @var{a}, _Decimal64 @var{b})
 516 @deftypefnx {Runtime Function} _Decimal128 __dpd_addtd3 (_Decimal128 @var{a}, _Decimal128 @var{b})
 517 @deftypefnx {Runtime Function} _Decimal128 __bid_addtd3 (_Decimal128 @var{a}, _Decimal128 @var{b})
 518 These functions return the sum of @var{a} and @var{b}.
 519 @end deftypefn
 520
 521 @deftypefn {Runtime Function} _Decimal32 __dpd_subsd3 (_Decimal32 @var{a}, _Decimal32 @var{b})
 522 @deftypefnx {Runtime Function} _Decimal32 __bid_subsd3 (_Decimal32 @var{a}, _Decimal32 @var{b})
 523 @deftypefnx {Runtime Function} _Decimal64 __dpd_subdd3 (_Decimal64 @var{a}, _Decimal64 @var{b})
 524 @deftypefnx {Runtime Function} _Decimal64 __bid_subdd3 (_Decimal64 @var{a}, _Decimal64 @var{b})
 525 @deftypefnx {Runtime Function} _Decimal128 __dpd_subtd3 (_Decimal128 @var{a}, _Decimal128 @var{b})
 526 @deftypefnx {Runtime Function} _Decimal128 __bid_subtd3 (_Decimal128 @var{a}, _Decimal128 @var{b})
 527 These functions return the difference between @var{b} and @var{a};
 528 that is, @w{@math{@var{a} - @var{b}}}.
 529 @end deftypefn
 530
 531 @deftypefn {Runtime Function} _Decimal32 __dpd_mulsd3 (_Decimal32 @var{a}, _Decimal32 @var{b})
 532 @deftypefnx {Runtime Function} _Decimal32 __bid_mulsd3 (_Decimal32 @var{a}, _Decimal32 @var{b})
 533 @deftypefnx {Runtime Function} _Decimal64 __dpd_muldd3 (_Decimal64 @var{a}, _Decimal64 @var{b})
 534 @deftypefnx {Runtime Function} _Decimal64 __bid_muldd3 (_Decimal64 @var{a}, _Decimal64 @var{b})
 535 @deftypefnx {Runtime Function} _Decimal128 __dpd_multd3 (_Decimal128 @var{a}, _Decimal128 @var{b})
 536 @deftypefnx {Runtime Function} _Decimal128 __bid_multd3 (_Decimal128 @var{a}, _Decimal128 @var{b})
 537 These functions return the product of @var{a} and @var{b}.
 538 @end deftypefn
 539
 540 @deftypefn {Runtime Function} _Decimal32 __dpd_divsd3 (_Decimal32 @var{a}, _Decimal32 @var{b})
 541 @deftypefnx {Runtime Function} _Decimal32 __bid_divsd3 (_Decimal32 @var{a}, _Decimal32 @var{b})
 542 @deftypefnx {Runtime Function} _Decimal64 __dpd_divdd3 (_Decimal64 @var{a}, _Decimal64 @var{b})
 543 @deftypefnx {Runtime Function} _Decimal64 __bid_divdd3 (_Decimal64 @var{a}, _Decimal64 @var{b})
 544 @deftypefnx {Runtime Function} _Decimal128 __dpd_divtd3 (_Decimal128 @var{a}, _Decimal128 @var{b})
 545 @deftypefnx {Runtime Function} _Decimal128 __bid_divtd3 (_Decimal128 @var{a}, _Decimal128 @var{b})
 546 These functions return the quotient of @var{a} and @var{b}; that is,
 547 @w{@math{@var{a} / @var{b}}}.
 548 @end deftypefn
 549
 550 @deftypefn {Runtime Function} _Decimal32 __dpd_negsd2 (_Decimal32 @var{a})
 551 @deftypefnx {Runtime Function} _Decimal32 __bid_negsd2 (_Decimal32 @var{a})
 552 @deftypefnx {Runtime Function} _Decimal64 __dpd_negdd2 (_Decimal64 @var{a})
 553 @deftypefnx {Runtime Function} _Decimal64 __bid_negdd2 (_Decimal64 @var{a})
 554 @deftypefnx {Runtime Function} _Decimal128 __dpd_negtd2 (_Decimal128 @var{a})
 555 @deftypefnx {Runtime Function} _Decimal128 __bid_negtd2 (_Decimal128 @var{a})
 556 These functions return the negation of @var{a}.  They simply flip the
 557 sign bit, so they can produce negative zero and negative NaN@.
 558 @end deftypefn
 559
 560 @subsection Conversion functions
 561
 562 @deftypefn {Runtime Function} _Decimal64 __dpd_extendsddd2 (_Decimal32 @var{a})
 563 @deftypefnx {Runtime Function} _Decimal64 __bid_extendsddd2 (_Decimal32 @var{a})
 564 @deftypefnx {Runtime Function} _Decimal128 __dpd_extendsdtd2 (_Decimal32 @var{a})
 565 @deftypefnx {Runtime Function} _Decimal128 __bid_extendsdtd2 (_Decimal32 @var{a})
 566 @deftypefnx {Runtime Function} _Decimal128 __dpd_extendddtd2 (_Decimal64 @var{a})
 567 @deftypefnx {Runtime Function} _Decimal128 __bid_extendddtd2 (_Decimal64 @var{a})
 568 @deftypefnx {Runtime Function} _Decimal32 __dpd_truncddsd2 (_Decimal64 @var{a})
 569 @deftypefnx {Runtime Function} _Decimal32 __bid_truncddsd2 (_Decimal64 @var{a})
 570 @deftypefnx {Runtime Function} _Decimal32 __dpd_trunctdsd2 (_Decimal128 @var{a})
 571 @deftypefnx {Runtime Function} _Decimal32 __bid_trunctdsd2 (_Decimal128 @var{a})
 572 @deftypefnx {Runtime Function} _Decimal64 __dpd_trunctddd2 (_Decimal128 @var{a})
 573 @deftypefnx {Runtime Function} _Decimal64 __bid_trunctddd2 (_Decimal128 @var{a})
 574 These functions convert the value @var{a} from one decimal floating type
 575 to another.
 576 @end deftypefn
 577
 578 @deftypefn {Runtime Function} _Decimal64 __dpd_extendsfdd (float @var{a})
 579 @deftypefnx {Runtime Function} _Decimal64 __bid_extendsfdd (float @var{a})
 580 @deftypefnx {Runtime Function} _Decimal128 __dpd_extendsftd (float @var{a})
 581 @deftypefnx {Runtime Function} _Decimal128 __bid_extendsftd (float @var{a})
 582 @deftypefnx {Runtime Function} _Decimal128 __dpd_extenddftd (double @var{a})
 583 @deftypefnx {Runtime Function} _Decimal128 __bid_extenddftd (double @var{a})
 584 @deftypefnx {Runtime Function} _Decimal128 __dpd_extendxftd ({long double} @var{a})
 585 @deftypefnx {Runtime Function} _Decimal128 __bid_extendxftd ({long double} @var{a})
 586 @deftypefnx {Runtime Function} _Decimal32 __dpd_truncdfsd (double @var{a})
 587 @deftypefnx {Runtime Function} _Decimal32 __bid_truncdfsd (double @var{a})
 588 @deftypefnx {Runtime Function} _Decimal32 __dpd_truncxfsd ({long double} @var{a})
 589 @deftypefnx {Runtime Function} _Decimal32 __bid_truncxfsd ({long double} @var{a})
 590 @deftypefnx {Runtime Function} _Decimal32 __dpd_trunctfsd ({long double} @var{a})
 591 @deftypefnx {Runtime Function} _Decimal32 __bid_trunctfsd ({long double} @var{a})
 592 @deftypefnx {Runtime Function} _Decimal64 __dpd_truncxfdd ({long double} @var{a})
 593 @deftypefnx {Runtime Function} _Decimal64 __bid_truncxfdd ({long double} @var{a})
 594 @deftypefnx {Runtime Function} _Decimal64 __dpd_trunctfdd ({long double} @var{a})
 595 @deftypefnx {Runtime Function} _Decimal64 __bid_trunctfdd ({long double} @var{a})
 596 These functions convert the value of @var{a} from a binary floating type
 597 to a decimal floating type of a different size.
 598 @end deftypefn
 599
 600 @deftypefn {Runtime Function} float __dpd_truncddsf (_Decimal64 @var{a})
 601 @deftypefnx {Runtime Function} float __bid_truncddsf (_Decimal64 @var{a})
 602 @deftypefnx {Runtime Function} float __dpd_trunctdsf (_Decimal128 @var{a})
 603 @deftypefnx {Runtime Function} float __bid_trunctdsf (_Decimal128 @var{a})
 604 @deftypefnx {Runtime Function} double __dpd_extendsddf (_Decimal32 @var{a})
 605 @deftypefnx {Runtime Function} double __bid_extendsddf (_Decimal32 @var{a})
 606 @deftypefnx {Runtime Function} double __dpd_trunctddf (_Decimal128 @var{a})
 607 @deftypefnx {Runtime Function} double __bid_trunctddf (_Decimal128 @var{a})
 608 @deftypefnx {Runtime Function} {long double} __dpd_extendsdxf (_Decimal32 @var{a})
 609 @deftypefnx {Runtime Function} {long double} __bid_extendsdxf (_Decimal32 @var{a})
 610 @deftypefnx {Runtime Function} {long double} __dpd_extendddxf (_Decimal64 @var{a})
 611 @deftypefnx {Runtime Function} {long double} __bid_extendddxf (_Decimal64 @var{a})
 612 @deftypefnx {Runtime Function} {long double} __dpd_trunctdxf (_Decimal128 @var{a})
 613 @deftypefnx {Runtime Function} {long double} __bid_trunctdxf (_Decimal128 @var{a})
 614 @deftypefnx {Runtime Function} {long double} __dpd_extendsdtf (_Decimal32 @var{a})
 615 @deftypefnx {Runtime Function} {long double} __bid_extendsdtf (_Decimal32 @var{a})
 616 @deftypefnx {Runtime Function} {long double} __dpd_extendddtf (_Decimal64 @var{a})
 617 @deftypefnx {Runtime Function} {long double} __bid_extendddtf (_Decimal64 @var{a})
 618 These functions convert the value of @var{a} from a decimal floating type
 619 to a binary floating type of a different size.
 620 @end deftypefn
 621
 622 @deftypefn {Runtime Function} _Decimal32 __dpd_extendsfsd (float @var{a})
 623 @deftypefnx {Runtime Function} _Decimal32 __bid_extendsfsd (float @var{a})
 624 @deftypefnx {Runtime Function} _Decimal64 __dpd_extenddfdd (double @var{a})
 625 @deftypefnx {Runtime Function} _Decimal64 __bid_extenddfdd (double @var{a})
 626 @deftypefnx {Runtime Function} _Decimal128 __dpd_extendtftd ({long double} @var{a})
 627 @deftypefnx {Runtime Function} _Decimal128 __bid_extendtftd ({long double} @var{a})
 628 @deftypefnx {Runtime Function} float __dpd_truncsdsf (_Decimal32 @var{a})
 629 @deftypefnx {Runtime Function} float __bid_truncsdsf (_Decimal32 @var{a})
 630 @deftypefnx {Runtime Function} double __dpd_truncdddf (_Decimal64 @var{a})
 631 @deftypefnx {Runtime Function} double __bid_truncdddf (_Decimal64 @var{a})
 632 @deftypefnx {Runtime Function} {long double} __dpd_trunctdtf (_Decimal128 @var{a})
 633 @deftypefnx {Runtime Function} {long double} __bid_trunctdtf (_Decimal128 @var{a})
 634 These functions convert the value of @var{a} between decimal and
 635 binary floating types of the same size.
 636 @end deftypefn
 637
 638 @deftypefn {Runtime Function} int __dpd_fixsdsi (_Decimal32 @var{a})
 639 @deftypefnx {Runtime Function} int __bid_fixsdsi (_Decimal32 @var{a})
 640 @deftypefnx {Runtime Function} int __dpd_fixddsi (_Decimal64 @var{a})
 641 @deftypefnx {Runtime Function} int __bid_fixddsi (_Decimal64 @var{a})
 642 @deftypefnx {Runtime Function} int __dpd_fixtdsi (_Decimal128 @var{a})
 643 @deftypefnx {Runtime Function} int __bid_fixtdsi (_Decimal128 @var{a})
 644 These functions convert @var{a} to a signed integer.
 645 @end deftypefn
 646
 647 @deftypefn {Runtime Function} long __dpd_fixsddi (_Decimal32 @var{a})
 648 @deftypefnx {Runtime Function} long __bid_fixsddi (_Decimal32 @var{a})
 649 @deftypefnx {Runtime Function} long __dpd_fixdddi (_Decimal64 @var{a})
 650 @deftypefnx {Runtime Function} long __bid_fixdddi (_Decimal64 @var{a})
 651 @deftypefnx {Runtime Function} long __dpd_fixtddi (_Decimal128 @var{a})
 652 @deftypefnx {Runtime Function} long __bid_fixtddi (_Decimal128 @var{a})
 653 These functions convert @var{a} to a signed long.
 654 @end deftypefn
 655
 656 @deftypefn {Runtime Function} {unsigned int} __dpd_fixunssdsi (_Decimal32 @var{a})
 657 @deftypefnx {Runtime Function} {unsigned int} __bid_fixunssdsi (_Decimal32 @var{a})
 658 @deftypefnx {Runtime Function} {unsigned int} __dpd_fixunsddsi (_Decimal64 @var{a})
 659 @deftypefnx {Runtime Function} {unsigned int} __bid_fixunsddsi (_Decimal64 @var{a})
 660 @deftypefnx {Runtime Function} {unsigned int} __dpd_fixunstdsi (_Decimal128 @var{a})
 661 @deftypefnx {Runtime Function} {unsigned int} __bid_fixunstdsi (_Decimal128 @var{a})
 662 These functions convert @var{a} to an unsigned integer.  Negative values all become zero.
 663 @end deftypefn
 664
 665 @deftypefn {Runtime Function} {unsigned long} __dpd_fixunssddi (_Decimal32 @var{a})
 666 @deftypefnx {Runtime Function} {unsigned long} __bid_fixunssddi (_Decimal32 @var{a})
 667 @deftypefnx {Runtime Function} {unsigned long} __dpd_fixunsdddi (_Decimal64 @var{a})
 668 @deftypefnx {Runtime Function} {unsigned long} __bid_fixunsdddi (_Decimal64 @var{a})
 669 @deftypefnx {Runtime Function} {unsigned long} __dpd_fixunstddi (_Decimal128 @var{a})
 670 @deftypefnx {Runtime Function} {unsigned long} __bid_fixunstddi (_Decimal128 @var{a})
 671 These functions convert @var{a} to an unsigned long.  Negative values
 672 all become zero.
 673 @end deftypefn
 674
 675 @deftypefn {Runtime Function} _Decimal32 __dpd_floatsisd (int @var{i})
 676 @deftypefnx {Runtime Function} _Decimal32 __bid_floatsisd (int @var{i})
 677 @deftypefnx {Runtime Function} _Decimal64 __dpd_floatsidd (int @var{i})
 678 @deftypefnx {Runtime Function} _Decimal64 __bid_floatsidd (int @var{i})
 679 @deftypefnx {Runtime Function} _Decimal128 __dpd_floatsitd (int @var{i})
 680 @deftypefnx {Runtime Function} _Decimal128 __bid_floatsitd (int @var{i})
 681 These functions convert @var{i}, a signed integer, to decimal floating point.
 682 @end deftypefn
 683
 684 @deftypefn {Runtime Function} _Decimal32 __dpd_floatdisd (long @var{i})
 685 @deftypefnx {Runtime Function} _Decimal32 __bid_floatdisd (long @var{i})
 686 @deftypefnx {Runtime Function} _Decimal64 __dpd_floatdidd (long @var{i})
 687 @deftypefnx {Runtime Function} _Decimal64 __bid_floatdidd (long @var{i})
 688 @deftypefnx {Runtime Function} _Decimal128 __dpd_floatditd (long @var{i})
 689 @deftypefnx {Runtime Function} _Decimal128 __bid_floatditd (long @var{i})
 690 These functions convert @var{i}, a signed long, to decimal floating point.
 691 @end deftypefn
 692
 693 @deftypefn {Runtime Function} _Decimal32 __dpd_floatunssisd (unsigned int @var{i})
 694 @deftypefnx {Runtime Function} _Decimal32 __bid_floatunssisd (unsigned int @var{i})
 695 @deftypefnx {Runtime Function} _Decimal64 __dpd_floatunssidd (unsigned int @var{i})
 696 @deftypefnx {Runtime Function} _Decimal64 __bid_floatunssidd (unsigned int @var{i})
 697 @deftypefnx {Runtime Function} _Decimal128 __dpd_floatunssitd (unsigned int @var{i})
 698 @deftypefnx {Runtime Function} _Decimal128 __bid_floatunssitd (unsigned int @var{i})
 699 These functions convert @var{i}, an unsigned integer, to decimal floating point.
 700 @end deftypefn
 701
 702 @deftypefn {Runtime Function} _Decimal32 __dpd_floatunsdisd (unsigned long @var{i})
 703 @deftypefnx {Runtime Function} _Decimal32 __bid_floatunsdisd (unsigned long @var{i})
 704 @deftypefnx {Runtime Function} _Decimal64 __dpd_floatunsdidd (unsigned long @var{i})
 705 @deftypefnx {Runtime Function} _Decimal64 __bid_floatunsdidd (unsigned long @var{i})
 706 @deftypefnx {Runtime Function} _Decimal128 __dpd_floatunsditd (unsigned long @var{i})
 707 @deftypefnx {Runtime Function} _Decimal128 __bid_floatunsditd (unsigned long @var{i})
 708 These functions convert @var{i}, an unsigned long, to decimal floating point.
 709 @end deftypefn
 710
 711 @subsection Comparison functions
 712
 713 @deftypefn {Runtime Function} int __dpd_unordsd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
 714 @deftypefnx {Runtime Function} int __bid_unordsd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
 715 @deftypefnx {Runtime Function} int __dpd_unorddd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
 716 @deftypefnx {Runtime Function} int __bid_unorddd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
 717 @deftypefnx {Runtime Function} int __dpd_unordtd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
 718 @deftypefnx {Runtime Function} int __bid_unordtd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
 719 These functions return a nonzero value if either argument is NaN, otherwise 0.
 720 @end deftypefn
 721
 722 There is also a complete group of higher level functions which
 723 correspond directly to comparison operators.  They implement the ISO C
 724 semantics for floating-point comparisons, taking NaN into account.
 725 Pay careful attention to the return values defined for each set.
 726 Under the hood, all of these routines are implemented as
 727
 728 @smallexample
 729   if (__bid_unord@var{X}d2 (a, b))
 730     return @var{E};
 731   return __bid_cmp@var{X}d2 (a, b);
 732 @end smallexample
 733
 734 @noindent
 735 where @var{E} is a constant chosen to give the proper behavior for
 736 NaN@.  Thus, the meaning of the return value is different for each set.
 737 Do not rely on this implementation; only the semantics documented
 738 below are guaranteed.
 739
 740 @deftypefn {Runtime Function} int __dpd_eqsd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
 741 @deftypefnx {Runtime Function} int __bid_eqsd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
 742 @deftypefnx {Runtime Function} int __dpd_eqdd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
 743 @deftypefnx {Runtime Function} int __bid_eqdd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
 744 @deftypefnx {Runtime Function} int __dpd_eqtd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
 745 @deftypefnx {Runtime Function} int __bid_eqtd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
 746 These functions return zero if neither argument is NaN, and @var{a} and
 747 @var{b} are equal.
 748 @end deftypefn
 749
 750 @deftypefn {Runtime Function} int __dpd_nesd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
 751 @deftypefnx {Runtime Function} int __bid_nesd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
 752 @deftypefnx {Runtime Function} int __dpd_nedd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
 753 @deftypefnx {Runtime Function} int __bid_nedd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
 754 @deftypefnx {Runtime Function} int __dpd_netd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
 755 @deftypefnx {Runtime Function} int __bid_netd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
 756 These functions return a nonzero value if either argument is NaN, or
 757 if @var{a} and @var{b} are unequal.
 758 @end deftypefn
 759
 760 @deftypefn {Runtime Function} int __dpd_gesd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
 761 @deftypefnx {Runtime Function} int __bid_gesd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
 762 @deftypefnx {Runtime Function} int __dpd_gedd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
 763 @deftypefnx {Runtime Function} int __bid_gedd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
 764 @deftypefnx {Runtime Function} int __dpd_getd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
 765 @deftypefnx {Runtime Function} int __bid_getd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
 766 These functions return a value greater than or equal to zero if
 767 neither argument is NaN, and @var{a} is greater than or equal to
 768 @var{b}.
 769 @end deftypefn
 770
 771 @deftypefn {Runtime Function} int __dpd_ltsd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
 772 @deftypefnx {Runtime Function} int __bid_ltsd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
 773 @deftypefnx {Runtime Function} int __dpd_ltdd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
 774 @deftypefnx {Runtime Function} int __bid_ltdd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
 775 @deftypefnx {Runtime Function} int __dpd_lttd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
 776 @deftypefnx {Runtime Function} int __bid_lttd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
 777 These functions return a value less than zero if neither argument is
 778 NaN, and @var{a} is strictly less than @var{b}.
 779 @end deftypefn
 780
 781 @deftypefn {Runtime Function} int __dpd_lesd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
 782 @deftypefnx {Runtime Function} int __bid_lesd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
 783 @deftypefnx {Runtime Function} int __dpd_ledd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
 784 @deftypefnx {Runtime Function} int __bid_ledd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
 785 @deftypefnx {Runtime Function} int __dpd_letd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
 786 @deftypefnx {Runtime Function} int __bid_letd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
 787 These functions return a value less than or equal to zero if neither
 788 argument is NaN, and @var{a} is less than or equal to @var{b}.
 789 @end deftypefn
 790
 791 @deftypefn {Runtime Function} int __dpd_gtsd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
 792 @deftypefnx {Runtime Function} int __bid_gtsd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
 793 @deftypefnx {Runtime Function} int __dpd_gtdd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
 794 @deftypefnx {Runtime Function} int __bid_gtdd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
 795 @deftypefnx {Runtime Function} int __dpd_gttd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
 796 @deftypefnx {Runtime Function} int __bid_gttd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
 797 These functions return a value greater than zero if neither argument
 798 is NaN, and @var{a} is strictly greater than @var{b}.
 799 @end deftypefn
 800
 801 @node Fixed-point fractional library routines
 802 @section Routines for fixed-point fractional emulation
 803 @cindex fixed-point fractional library
 804 @cindex fractional types
 805 @cindex Embedded C
 806
 807 The software fixed-point library implements fixed-point fractional
 808 arithmetic, and is only activated on selected targets.
 809
 810 For ease of comprehension @code{fract} is an alias for the
 811 @code{_Fract} type, @code{accum} an alias for @code{_Accum}, and
 812 @code{sat} an alias for @code{_Sat}.
 813
 814 For illustrative purposes, in this section the fixed-point fractional type
 815 @code{@w{short fract}} is assumed to correspond to machine mode @code{QQmode};
 816 @code{@w{unsigned short fract}} to @code{UQQmode};
 817 @code{fract} to @code{HQmode};
 818 @code{@w{unsigned fract}} to @code{UHQmode};
 819 @code{@w{long fract}} to @code{SQmode};
 820 @code{@w{unsigned long fract}} to @code{USQmode};
 821 @code{@w{long long fract}} to @code{DQmode};
 822 and @code{@w{unsigned long long fract}} to @code{UDQmode}.
 823 Similarly the fixed-point accumulator type
 824 @code{@w{short accum}} corresponds to @code{HAmode};
 825 @code{@w{unsigned short accum}} to @code{UHAmode};
 826 @code{accum} to @code{SAmode};
 827 @code{@w{unsigned accum}} to @code{USAmode};
 828 @code{@w{long accum}} to @code{DAmode};
 829 @code{@w{unsigned long accum}} to @code{UDAmode};
 830 @code{@w{long long accum}} to @code{TAmode};
 831 and @code{@w{unsigned long long accum}} to @code{UTAmode}.
 832
 833 @subsection Arithmetic functions
 834
 835 @deftypefn {Runtime Function} {short fract} __addqq3 (short fract @var{a}, short fract @var{b})
 836 @deftypefnx {Runtime Function} {fract} __addhq3 (fract @var{a}, fract @var{b})
 837 @deftypefnx {Runtime Function} {long fract} __addsq3 (long fract @var{a}, long fract @var{b})
 838 @deftypefnx {Runtime Function} {long long fract} __adddq3 (long long fract @var{a}, long long fract @var{b})
 839 @deftypefnx {Runtime Function} {unsigned short fract} __adduqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
 840 @deftypefnx {Runtime Function} {unsigned fract} __adduhq3 (unsigned fract @var{a}, unsigned fract @var{b})
 841 @deftypefnx {Runtime Function} {unsigned long fract} __addusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
 842 @deftypefnx {Runtime Function} {unsigned long long fract} __addudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
 843 @deftypefnx {Runtime Function} {short accum} __addha3 (short accum @var{a}, short accum @var{b})
 844 @deftypefnx {Runtime Function} {accum} __addsa3 (accum @var{a}, accum @var{b})
 845 @deftypefnx {Runtime Function} {long accum} __addda3 (long accum @var{a}, long accum @var{b})
 846 @deftypefnx {Runtime Function} {long long accum} __addta3 (long long accum @var{a}, long long accum @var{b})
 847 @deftypefnx {Runtime Function} {unsigned short accum} __adduha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
 848 @deftypefnx {Runtime Function} {unsigned accum} __addusa3 (unsigned accum @var{a}, unsigned accum @var{b})
 849 @deftypefnx {Runtime Function} {unsigned long accum} __adduda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
 850 @deftypefnx {Runtime Function} {unsigned long long accum} __adduta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
 851 These functions return the sum of @var{a} and @var{b}.
 852 @end deftypefn
 853
 854 @deftypefn {Runtime Function} {short fract} __ssaddqq3 (short fract @var{a}, short fract @var{b})
 855 @deftypefnx {Runtime Function} {fract} __ssaddhq3 (fract @var{a}, fract @var{b})
 856 @deftypefnx {Runtime Function} {long fract} __ssaddsq3 (long fract @var{a}, long fract @var{b})
 857 @deftypefnx {Runtime Function} {long long fract} __ssadddq3 (long long fract @var{a}, long long fract @var{b})
 858 @deftypefnx {Runtime Function} {short accum} __ssaddha3 (short accum @var{a}, short accum @var{b})
 859 @deftypefnx {Runtime Function} {accum} __ssaddsa3 (accum @var{a}, accum @var{b})
 860 @deftypefnx {Runtime Function} {long accum} __ssaddda3 (long accum @var{a}, long accum @var{b})
 861 @deftypefnx {Runtime Function} {long long accum} __ssaddta3 (long long accum @var{a}, long long accum @var{b})
 862 These functions return the sum of @var{a} and @var{b} with signed saturation.
 863 @end deftypefn
 864
 865 @deftypefn {Runtime Function} {unsigned short fract} __usadduqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
 866 @deftypefnx {Runtime Function} {unsigned fract} __usadduhq3 (unsigned fract @var{a}, unsigned fract @var{b})
 867 @deftypefnx {Runtime Function} {unsigned long fract} __usaddusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
 868 @deftypefnx {Runtime Function} {unsigned long long fract} __usaddudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
 869 @deftypefnx {Runtime Function} {unsigned short accum} __usadduha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
 870 @deftypefnx {Runtime Function} {unsigned accum} __usaddusa3 (unsigned accum @var{a}, unsigned accum @var{b})
 871 @deftypefnx {Runtime Function} {unsigned long accum} __usadduda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
 872 @deftypefnx {Runtime Function} {unsigned long long accum} __usadduta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
 873 These functions return the sum of @var{a} and @var{b} with unsigned saturation.
 874 @end deftypefn
 875
 876 @deftypefn {Runtime Function} {short fract} __subqq3 (short fract @var{a}, short fract @var{b})
 877 @deftypefnx {Runtime Function} {fract} __subhq3 (fract @var{a}, fract @var{b})
 878 @deftypefnx {Runtime Function} {long fract} __subsq3 (long fract @var{a}, long fract @var{b})
 879 @deftypefnx {Runtime Function} {long long fract} __subdq3 (long long fract @var{a}, long long fract @var{b})
 880 @deftypefnx {Runtime Function} {unsigned short fract} __subuqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
 881 @deftypefnx {Runtime Function} {unsigned fract} __subuhq3 (unsigned fract @var{a}, unsigned fract @var{b})
 882 @deftypefnx {Runtime Function} {unsigned long fract} __subusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
 883 @deftypefnx {Runtime Function} {unsigned long long fract} __subudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
 884 @deftypefnx {Runtime Function} {short accum} __subha3 (short accum @var{a}, short accum @var{b})
 885 @deftypefnx {Runtime Function} {accum} __subsa3 (accum @var{a}, accum @var{b})
 886 @deftypefnx {Runtime Function} {long accum} __subda3 (long accum @var{a}, long accum @var{b})
 887 @deftypefnx {Runtime Function} {long long accum} __subta3 (long long accum @var{a}, long long accum @var{b})
 888 @deftypefnx {Runtime Function} {unsigned short accum} __subuha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
 889 @deftypefnx {Runtime Function} {unsigned accum} __subusa3 (unsigned accum @var{a}, unsigned accum @var{b})
 890 @deftypefnx {Runtime Function} {unsigned long accum} __subuda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
 891 @deftypefnx {Runtime Function} {unsigned long long accum} __subuta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
 892 These functions return the difference of @var{a} and @var{b};
 893 that is, @code{@var{a} - @var{b}}.
 894 @end deftypefn
 895
 896 @deftypefn {Runtime Function} {short fract} __sssubqq3 (short fract @var{a}, short fract @var{b})
 897 @deftypefnx {Runtime Function} {fract} __sssubhq3 (fract @var{a}, fract @var{b})
 898 @deftypefnx {Runtime Function} {long fract} __sssubsq3 (long fract @var{a}, long fract @var{b})
 899 @deftypefnx {Runtime Function} {long long fract} __sssubdq3 (long long fract @var{a}, long long fract @var{b})
 900 @deftypefnx {Runtime Function} {short accum} __sssubha3 (short accum @var{a}, short accum @var{b})
 901 @deftypefnx {Runtime Function} {accum} __sssubsa3 (accum @var{a}, accum @var{b})
 902 @deftypefnx {Runtime Function} {long accum} __sssubda3 (long accum @var{a}, long accum @var{b})
 903 @deftypefnx {Runtime Function} {long long accum} __sssubta3 (long long accum @var{a}, long long accum @var{b})
 904 These functions return the difference of @var{a} and @var{b} with signed
 905 saturation;  that is, @code{@var{a} - @var{b}}.
 906 @end deftypefn
 907
 908 @deftypefn {Runtime Function} {unsigned short fract} __ussubuqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
 909 @deftypefnx {Runtime Function} {unsigned fract} __ussubuhq3 (unsigned fract @var{a}, unsigned fract @var{b})
 910 @deftypefnx {Runtime Function} {unsigned long fract} __ussubusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
 911 @deftypefnx {Runtime Function} {unsigned long long fract} __ussubudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
 912 @deftypefnx {Runtime Function} {unsigned short accum} __ussubuha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
 913 @deftypefnx {Runtime Function} {unsigned accum} __ussubusa3 (unsigned accum @var{a}, unsigned accum @var{b})
 914 @deftypefnx {Runtime Function} {unsigned long accum} __ussubuda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
 915 @deftypefnx {Runtime Function} {unsigned long long accum} __ussubuta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
 916 These functions return the difference of @var{a} and @var{b} with unsigned
 917 saturation;  that is, @code{@var{a} - @var{b}}.
 918 @end deftypefn
 919
 920 @deftypefn {Runtime Function} {short fract} __mulqq3 (short fract @var{a}, short fract @var{b})
 921 @deftypefnx {Runtime Function} {fract} __mulhq3 (fract @var{a}, fract @var{b})
 922 @deftypefnx {Runtime Function} {long fract} __mulsq3 (long fract @var{a}, long fract @var{b})
 923 @deftypefnx {Runtime Function} {long long fract} __muldq3 (long long fract @var{a}, long long fract @var{b})
 924 @deftypefnx {Runtime Function} {unsigned short fract} __muluqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
 925 @deftypefnx {Runtime Function} {unsigned fract} __muluhq3 (unsigned fract @var{a}, unsigned fract @var{b})
 926 @deftypefnx {Runtime Function} {unsigned long fract} __mulusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
 927 @deftypefnx {Runtime Function} {unsigned long long fract} __muludq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
 928 @deftypefnx {Runtime Function} {short accum} __mulha3 (short accum @var{a}, short accum @var{b})
 929 @deftypefnx {Runtime Function} {accum} __mulsa3 (accum @var{a}, accum @var{b})
 930 @deftypefnx {Runtime Function} {long accum} __mulda3 (long accum @var{a}, long accum @var{b})
 931 @deftypefnx {Runtime Function} {long long accum} __multa3 (long long accum @var{a}, long long accum @var{b})
 932 @deftypefnx {Runtime Function} {unsigned short accum} __muluha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
 933 @deftypefnx {Runtime Function} {unsigned accum} __mulusa3 (unsigned accum @var{a}, unsigned accum @var{b})
 934 @deftypefnx {Runtime Function} {unsigned long accum} __muluda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
 935 @deftypefnx {Runtime Function} {unsigned long long accum} __muluta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
 936 These functions return the product of @var{a} and @var{b}.
 937 @end deftypefn
 938
 939 @deftypefn {Runtime Function} {short fract} __ssmulqq3 (short fract @var{a}, short fract @var{b})
 940 @deftypefnx {Runtime Function} {fract} __ssmulhq3 (fract @var{a}, fract @var{b})
 941 @deftypefnx {Runtime Function} {long fract} __ssmulsq3 (long fract @var{a}, long fract @var{b})
 942 @deftypefnx {Runtime Function} {long long fract} __ssmuldq3 (long long fract @var{a}, long long fract @var{b})
 943 @deftypefnx {Runtime Function} {short accum} __ssmulha3 (short accum @var{a}, short accum @var{b})
 944 @deftypefnx {Runtime Function} {accum} __ssmulsa3 (accum @var{a}, accum @var{b})
 945 @deftypefnx {Runtime Function} {long accum} __ssmulda3 (long accum @var{a}, long accum @var{b})
 946 @deftypefnx {Runtime Function} {long long accum} __ssmulta3 (long long accum @var{a}, long long accum @var{b})
 947 These functions return the product of @var{a} and @var{b} with signed
 948 saturation.
 949 @end deftypefn
 950
 951 @deftypefn {Runtime Function} {unsigned short fract} __usmuluqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
 952 @deftypefnx {Runtime Function} {unsigned fract} __usmuluhq3 (unsigned fract @var{a}, unsigned fract @var{b})
 953 @deftypefnx {Runtime Function} {unsigned long fract} __usmulusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
 954 @deftypefnx {Runtime Function} {unsigned long long fract} __usmuludq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
 955 @deftypefnx {Runtime Function} {unsigned short accum} __usmuluha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
 956 @deftypefnx {Runtime Function} {unsigned accum} __usmulusa3 (unsigned accum @var{a}, unsigned accum @var{b})
 957 @deftypefnx {Runtime Function} {unsigned long accum} __usmuluda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
 958 @deftypefnx {Runtime Function} {unsigned long long accum} __usmuluta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
 959 These functions return the product of @var{a} and @var{b} with unsigned
 960 saturation.
 961 @end deftypefn
 962
 963 @deftypefn {Runtime Function} {short fract} __divqq3 (short fract @var{a}, short fract @var{b})
 964 @deftypefnx {Runtime Function} {fract} __divhq3 (fract @var{a}, fract @var{b})
 965 @deftypefnx {Runtime Function} {long fract} __divsq3 (long fract @var{a}, long fract @var{b})
 966 @deftypefnx {Runtime Function} {long long fract} __divdq3 (long long fract @var{a}, long long fract @var{b})
 967 @deftypefnx {Runtime Function} {short accum} __divha3 (short accum @var{a}, short accum @var{b})
 968 @deftypefnx {Runtime Function} {accum} __divsa3 (accum @var{a}, accum @var{b})
 969 @deftypefnx {Runtime Function} {long accum} __divda3 (long accum @var{a}, long accum @var{b})
 970 @deftypefnx {Runtime Function} {long long accum} __divta3 (long long accum @var{a}, long long accum @var{b})
 971 These functions return the quotient of the signed division of @var{a}
 972 and @var{b}.
 973 @end deftypefn
 974
 975 @deftypefn {Runtime Function} {unsigned short fract} __udivuqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
 976 @deftypefnx {Runtime Function} {unsigned fract} __udivuhq3 (unsigned fract @var{a}, unsigned fract @var{b})
 977 @deftypefnx {Runtime Function} {unsigned long fract} __udivusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
 978 @deftypefnx {Runtime Function} {unsigned long long fract} __udivudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
 979 @deftypefnx {Runtime Function} {unsigned short accum} __udivuha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
 980 @deftypefnx {Runtime Function} {unsigned accum} __udivusa3 (unsigned accum @var{a}, unsigned accum @var{b})
 981 @deftypefnx {Runtime Function} {unsigned long accum} __udivuda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
 982 @deftypefnx {Runtime Function} {unsigned long long accum} __udivuta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
 983 These functions return the quotient of the unsigned division of @var{a}
 984 and @var{b}.
 985 @end deftypefn
 986
 987 @deftypefn {Runtime Function} {short fract} __ssdivqq3 (short fract @var{a}, short fract @var{b})
 988 @deftypefnx {Runtime Function} {fract} __ssdivhq3 (fract @var{a}, fract @var{b})
 989 @deftypefnx {Runtime Function} {long fract} __ssdivsq3 (long fract @var{a}, long fract @var{b})
 990 @deftypefnx {Runtime Function} {long long fract} __ssdivdq3 (long long fract @var{a}, long long fract @var{b})
 991 @deftypefnx {Runtime Function} {short accum} __ssdivha3 (short accum @var{a}, short accum @var{b})
 992 @deftypefnx {Runtime Function} {accum} __ssdivsa3 (accum @var{a}, accum @var{b})
 993 @deftypefnx {Runtime Function} {long accum} __ssdivda3 (long accum @var{a}, long accum @var{b})
 994 @deftypefnx {Runtime Function} {long long accum} __ssdivta3 (long long accum @var{a}, long long accum @var{b})
 995 These functions return the quotient of the signed division of @var{a}
 996 and @var{b} with signed saturation.
 997 @end deftypefn
 998
 999 @deftypefn {Runtime Function} {unsigned short fract} __usdivuqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
1000 @deftypefnx {Runtime Function} {unsigned fract} __usdivuhq3 (unsigned fract @var{a}, unsigned fract @var{b})
1001 @deftypefnx {Runtime Function} {unsigned long fract} __usdivusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
1002 @deftypefnx {Runtime Function} {unsigned long long fract} __usdivudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
1003 @deftypefnx {Runtime Function} {unsigned short accum} __usdivuha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
1004 @deftypefnx {Runtime Function} {unsigned accum} __usdivusa3 (unsigned accum @var{a}, unsigned accum @var{b})
1005 @deftypefnx {Runtime Function} {unsigned long accum} __usdivuda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
1006 @deftypefnx {Runtime Function} {unsigned long long accum} __usdivuta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
1007 These functions return the quotient of the unsigned division of @var{a}
1008 and @var{b} with unsigned saturation.
1009 @end deftypefn
1010
1011 @deftypefn {Runtime Function} {short fract} __negqq2 (short fract @var{a})
1012 @deftypefnx {Runtime Function} {fract} __neghq2 (fract @var{a})
1013 @deftypefnx {Runtime Function} {long fract} __negsq2 (long fract @var{a})
1014 @deftypefnx {Runtime Function} {long long fract} __negdq2 (long long fract @var{a})
1015 @deftypefnx {Runtime Function} {unsigned short fract} __neguqq2 (unsigned short fract @var{a})
1016 @deftypefnx {Runtime Function} {unsigned fract} __neguhq2 (unsigned fract @var{a})
1017 @deftypefnx {Runtime Function} {unsigned long fract} __negusq2 (unsigned long fract @var{a})
1018 @deftypefnx {Runtime Function} {unsigned long long fract} __negudq2 (unsigned long long fract @var{a})
1019 @deftypefnx {Runtime Function} {short accum} __negha2 (short accum @var{a})
1020 @deftypefnx {Runtime Function} {accum} __negsa2 (accum @var{a})
1021 @deftypefnx {Runtime Function} {long accum} __negda2 (long accum @var{a})
1022 @deftypefnx {Runtime Function} {long long accum} __negta2 (long long accum @var{a})
1023 @deftypefnx {Runtime Function} {unsigned short accum} __neguha2 (unsigned short accum @var{a})
1024 @deftypefnx {Runtime Function} {unsigned accum} __negusa2 (unsigned accum @var{a})
1025 @deftypefnx {Runtime Function} {unsigned long accum} __neguda2 (unsigned long accum @var{a})
1026 @deftypefnx {Runtime Function} {unsigned long long accum} __neguta2 (unsigned long long accum @var{a})
1027 These functions return the negation of @var{a}.
1028 @end deftypefn
1029
1030 @deftypefn {Runtime Function} {short fract} __ssnegqq2 (short fract @var{a})
1031 @deftypefnx {Runtime Function} {fract} __ssneghq2 (fract @var{a})
1032 @deftypefnx {Runtime Function} {long fract} __ssnegsq2 (long fract @var{a})
1033 @deftypefnx {Runtime Function} {long long fract} __ssnegdq2 (long long fract @var{a})
1034 @deftypefnx {Runtime Function} {short accum} __ssnegha2 (short accum @var{a})
1035 @deftypefnx {Runtime Function} {accum} __ssnegsa2 (accum @var{a})
1036 @deftypefnx {Runtime Function} {long accum} __ssnegda2 (long accum @var{a})
1037 @deftypefnx {Runtime Function} {long long accum} __ssnegta2 (long long accum @var{a})
1038 These functions return the negation of @var{a} with signed saturation.
1039 @end deftypefn
1040
1041 @deftypefn {Runtime Function} {unsigned short fract} __usneguqq2 (unsigned short fract @var{a})
1042 @deftypefnx {Runtime Function} {unsigned fract} __usneguhq2 (unsigned fract @var{a})
1043 @deftypefnx {Runtime Function} {unsigned long fract} __usnegusq2 (unsigned long fract @var{a})
1044 @deftypefnx {Runtime Function} {unsigned long long fract} __usnegudq2 (unsigned long long fract @var{a})
1045 @deftypefnx {Runtime Function} {unsigned short accum} __usneguha2 (unsigned short accum @var{a})
1046 @deftypefnx {Runtime Function} {unsigned accum} __usnegusa2 (unsigned accum @var{a})
1047 @deftypefnx {Runtime Function} {unsigned long accum} __usneguda2 (unsigned long accum @var{a})
1048 @deftypefnx {Runtime Function} {unsigned long long accum} __usneguta2 (unsigned long long accum @var{a})
1049 These functions return the negation of @var{a} with unsigned saturation.
1050 @end deftypefn
1051
1052 @deftypefn {Runtime Function} {short fract} __ashlqq3 (short fract @var{a}, int @var{b})
1053 @deftypefnx {Runtime Function} {fract} __ashlhq3 (fract @var{a}, int @var{b})
1054 @deftypefnx {Runtime Function} {long fract} __ashlsq3 (long fract @var{a}, int @var{b})
1055 @deftypefnx {Runtime Function} {long long fract} __ashldq3 (long long fract @var{a}, int @var{b})
1056 @deftypefnx {Runtime Function} {unsigned short fract} __ashluqq3 (unsigned short fract @var{a}, int @var{b})
1057 @deftypefnx {Runtime Function} {unsigned fract} __ashluhq3 (unsigned fract @var{a}, int @var{b})
1058 @deftypefnx {Runtime Function} {unsigned long fract} __ashlusq3 (unsigned long fract @var{a}, int @var{b})
1059 @deftypefnx {Runtime Function} {unsigned long long fract} __ashludq3 (unsigned long long fract @var{a}, int @var{b})
1060 @deftypefnx {Runtime Function} {short accum} __ashlha3 (short accum @var{a}, int @var{b})
1061 @deftypefnx {Runtime Function} {accum} __ashlsa3 (accum @var{a}, int @var{b})
1062 @deftypefnx {Runtime Function} {long accum} __ashlda3 (long accum @var{a}, int @var{b})
1063 @deftypefnx {Runtime Function} {long long accum} __ashlta3 (long long accum @var{a}, int @var{b})
1064 @deftypefnx {Runtime Function} {unsigned short accum} __ashluha3 (unsigned short accum @var{a}, int @var{b})
1065 @deftypefnx {Runtime Function} {unsigned accum} __ashlusa3 (unsigned accum @var{a}, int @var{b})
1066 @deftypefnx {Runtime Function} {unsigned long accum} __ashluda3 (unsigned long accum @var{a}, int @var{b})
1067 @deftypefnx {Runtime Function} {unsigned long long accum} __ashluta3 (unsigned long long accum @var{a}, int @var{b})
1068 These functions return the result of shifting @var{a} left by @var{b} bits.
1069 @end deftypefn
1070
1071 @deftypefn {Runtime Function} {short fract} __ashrqq3 (short fract @var{a}, int @var{b})
1072 @deftypefnx {Runtime Function} {fract} __ashrhq3 (fract @var{a}, int @var{b})
1073 @deftypefnx {Runtime Function} {long fract} __ashrsq3 (long fract @var{a}, int @var{b})
1074 @deftypefnx {Runtime Function} {long long fract} __ashrdq3 (long long fract @var{a}, int @var{b})
1075 @deftypefnx {Runtime Function} {short accum} __ashrha3 (short accum @var{a}, int @var{b})
1076 @deftypefnx {Runtime Function} {accum} __ashrsa3 (accum @var{a}, int @var{b})
1077 @deftypefnx {Runtime Function} {long accum} __ashrda3 (long accum @var{a}, int @var{b})
1078 @deftypefnx {Runtime Function} {long long accum} __ashrta3 (long long accum @var{a}, int @var{b})
1079 These functions return the result of arithmetically shifting @var{a} right
1080 by @var{b} bits.
1081 @end deftypefn
1082
1083 @deftypefn {Runtime Function} {unsigned short fract} __lshruqq3 (unsigned short fract @var{a}, int @var{b})
1084 @deftypefnx {Runtime Function} {unsigned fract} __lshruhq3 (unsigned fract @var{a}, int @var{b})
1085 @deftypefnx {Runtime Function} {unsigned long fract} __lshrusq3 (unsigned long fract @var{a}, int @var{b})
1086 @deftypefnx {Runtime Function} {unsigned long long fract} __lshrudq3 (unsigned long long fract @var{a}, int @var{b})
1087 @deftypefnx {Runtime Function} {unsigned short accum} __lshruha3 (unsigned short accum @var{a}, int @var{b})
1088 @deftypefnx {Runtime Function} {unsigned accum} __lshrusa3 (unsigned accum @var{a}, int @var{b})
1089 @deftypefnx {Runtime Function} {unsigned long accum} __lshruda3 (unsigned long accum @var{a}, int @var{b})
1090 @deftypefnx {Runtime Function} {unsigned long long accum} __lshruta3 (unsigned long long accum @var{a}, int @var{b})
1091 These functions return the result of logically shifting @var{a} right
1092 by @var{b} bits.
1093 @end deftypefn
1094
1095 @deftypefn {Runtime Function} {fract} __ssashlhq3 (fract @var{a}, int @var{b})
1096 @deftypefnx {Runtime Function} {long fract} __ssashlsq3 (long fract @var{a}, int @var{b})
1097 @deftypefnx {Runtime Function} {long long fract} __ssashldq3 (long long fract @var{a}, int @var{b})
1098 @deftypefnx {Runtime Function} {short accum} __ssashlha3 (short accum @var{a}, int @var{b})
1099 @deftypefnx {Runtime Function} {accum} __ssashlsa3 (accum @var{a}, int @var{b})
1100 @deftypefnx {Runtime Function} {long accum} __ssashlda3 (long accum @var{a}, int @var{b})
1101 @deftypefnx {Runtime Function} {long long accum} __ssashlta3 (long long accum @var{a}, int @var{b})
1102 These functions return the result of shifting @var{a} left by @var{b} bits
1103 with signed saturation.
1104 @end deftypefn
1105
1106 @deftypefn {Runtime Function} {unsigned short fract} __usashluqq3 (unsigned short fract @var{a}, int @var{b})
1107 @deftypefnx {Runtime Function} {unsigned fract} __usashluhq3 (unsigned fract @var{a}, int @var{b})
1108 @deftypefnx {Runtime Function} {unsigned long fract} __usashlusq3 (unsigned long fract @var{a}, int @var{b})
1109 @deftypefnx {Runtime Function} {unsigned long long fract} __usashludq3 (unsigned long long fract @var{a}, int @var{b})
1110 @deftypefnx {Runtime Function} {unsigned short accum} __usashluha3 (unsigned short accum @var{a}, int @var{b})
1111 @deftypefnx {Runtime Function} {unsigned accum} __usashlusa3 (unsigned accum @var{a}, int @var{b})
1112 @deftypefnx {Runtime Function} {unsigned long accum} __usashluda3 (unsigned long accum @var{a}, int @var{b})
1113 @deftypefnx {Runtime Function} {unsigned long long accum} __usashluta3 (unsigned long long accum @var{a}, int @var{b})
1114 These functions return the result of shifting @var{a} left by @var{b} bits
1115 with unsigned saturation.
1116 @end deftypefn
1117
1118 @subsection Comparison functions
1119
1120 The following functions implement fixed-point comparisons.  These functions
1121 implement a low-level compare, upon which the higher level comparison
1122 operators (such as less than and greater than or equal to) can be
1123 constructed.  The returned values lie in the range zero to two, to allow
1124 the high-level operators to be implemented by testing the returned
1125 result using either signed or unsigned comparison.
1126
1127 @deftypefn {Runtime Function} {int} __cmpqq2 (short fract @var{a}, short fract @var{b})
1128 @deftypefnx {Runtime Function} {int} __cmphq2 (fract @var{a}, fract @var{b})
1129 @deftypefnx {Runtime Function} {int} __cmpsq2 (long fract @var{a}, long fract @var{b})
1130 @deftypefnx {Runtime Function} {int} __cmpdq2 (long long fract @var{a}, long long fract @var{b})
1131 @deftypefnx {Runtime Function} {int} __cmpuqq2 (unsigned short fract @var{a}, unsigned short fract @var{b})
1132 @deftypefnx {Runtime Function} {int} __cmpuhq2 (unsigned fract @var{a}, unsigned fract @var{b})
1133 @deftypefnx {Runtime Function} {int} __cmpusq2 (unsigned long fract @var{a}, unsigned long fract @var{b})
1134 @deftypefnx {Runtime Function} {int} __cmpudq2 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
1135 @deftypefnx {Runtime Function} {int} __cmpha2 (short accum @var{a}, short accum @var{b})
1136 @deftypefnx {Runtime Function} {int} __cmpsa2 (accum @var{a}, accum @var{b})
1137 @deftypefnx {Runtime Function} {int} __cmpda2 (long accum @var{a}, long accum @var{b})
1138 @deftypefnx {Runtime Function} {int} __cmpta2 (long long accum @var{a}, long long accum @var{b})
1139 @deftypefnx {Runtime Function} {int} __cmpuha2 (unsigned short accum @var{a}, unsigned short accum @var{b})
1140 @deftypefnx {Runtime Function} {int} __cmpusa2 (unsigned accum @var{a}, unsigned accum @var{b})
1141 @deftypefnx {Runtime Function} {int} __cmpuda2 (unsigned long accum @var{a}, unsigned long accum @var{b})
1142 @deftypefnx {Runtime Function} {int} __cmputa2 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
1143 These functions perform a signed or unsigned comparison of @var{a} and
1144 @var{b} (depending on the selected machine mode).  If @var{a} is less
1145 than @var{b}, they return 0; if @var{a} is greater than @var{b}, they
1146 return 2; and if @var{a} and @var{b} are equal they return 1.
1147 @end deftypefn
1148
1149 @subsection Conversion functions
1150
1151 @deftypefn {Runtime Function} {fract} __fractqqhq2 (short fract @var{a})
1152 @deftypefnx {Runtime Function} {long fract} __fractqqsq2 (short fract @var{a})
1153 @deftypefnx {Runtime Function} {long long fract} __fractqqdq2 (short fract @var{a})
1154 @deftypefnx {Runtime Function} {short accum} __fractqqha (short fract @var{a})
1155 @deftypefnx {Runtime Function} {accum} __fractqqsa (short fract @var{a})
1156 @deftypefnx {Runtime Function} {long accum} __fractqqda (short fract @var{a})
1157 @deftypefnx {Runtime Function} {long long accum} __fractqqta (short fract @var{a})
1158 @deftypefnx {Runtime Function} {unsigned short fract} __fractqquqq (short fract @var{a})
1159 @deftypefnx {Runtime Function} {unsigned fract} __fractqquhq (short fract @var{a})
1160 @deftypefnx {Runtime Function} {unsigned long fract} __fractqqusq (short fract @var{a})
1161 @deftypefnx {Runtime Function} {unsigned long long fract} __fractqqudq (short fract @var{a})
1162 @deftypefnx {Runtime Function} {unsigned short accum} __fractqquha (short fract @var{a})
1163 @deftypefnx {Runtime Function} {unsigned accum} __fractqqusa (short fract @var{a})
1164 @deftypefnx {Runtime Function} {unsigned long accum} __fractqquda (short fract @var{a})
1165 @deftypefnx {Runtime Function} {unsigned long long accum} __fractqquta (short fract @var{a})
1166 @deftypefnx {Runtime Function} {signed char} __fractqqqi (short fract @var{a})
1167 @deftypefnx {Runtime Function} {short} __fractqqhi (short fract @var{a})
1168 @deftypefnx {Runtime Function} {int} __fractqqsi (short fract @var{a})
1169 @deftypefnx {Runtime Function} {long} __fractqqdi (short fract @var{a})
1170 @deftypefnx {Runtime Function} {long long} __fractqqti (short fract @var{a})
1171 @deftypefnx {Runtime Function} {float} __fractqqsf (short fract @var{a})
1172 @deftypefnx {Runtime Function} {double} __fractqqdf (short fract @var{a})
1173 @deftypefnx {Runtime Function} {short fract} __fracthqqq2 (fract @var{a})
1174 @deftypefnx {Runtime Function} {long fract} __fracthqsq2 (fract @var{a})
1175 @deftypefnx {Runtime Function} {long long fract} __fracthqdq2 (fract @var{a})
1176 @deftypefnx {Runtime Function} {short accum} __fracthqha (fract @var{a})
1177 @deftypefnx {Runtime Function} {accum} __fracthqsa (fract @var{a})
1178 @deftypefnx {Runtime Function} {long accum} __fracthqda (fract @var{a})
1179 @deftypefnx {Runtime Function} {long long accum} __fracthqta (fract @var{a})
1180 @deftypefnx {Runtime Function} {unsigned short fract} __fracthquqq (fract @var{a})
1181 @deftypefnx {Runtime Function} {unsigned fract} __fracthquhq (fract @var{a})
1182 @deftypefnx {Runtime Function} {unsigned long fract} __fracthqusq (fract @var{a})
1183 @deftypefnx {Runtime Function} {unsigned long long fract} __fracthqudq (fract @var{a})
1184 @deftypefnx {Runtime Function} {unsigned short accum} __fracthquha (fract @var{a})
1185 @deftypefnx {Runtime Function} {unsigned accum} __fracthqusa (fract @var{a})
1186 @deftypefnx {Runtime Function} {unsigned long accum} __fracthquda (fract @var{a})
1187 @deftypefnx {Runtime Function} {unsigned long long accum} __fracthquta (fract @var{a})
1188 @deftypefnx {Runtime Function} {signed char} __fracthqqi (fract @var{a})
1189 @deftypefnx {Runtime Function} {short} __fracthqhi (fract @var{a})
1190 @deftypefnx {Runtime Function} {int} __fracthqsi (fract @var{a})
1191 @deftypefnx {Runtime Function} {long} __fracthqdi (fract @var{a})
1192 @deftypefnx {Runtime Function} {long long} __fracthqti (fract @var{a})
1193 @deftypefnx {Runtime Function} {float} __fracthqsf (fract @var{a})
1194 @deftypefnx {Runtime Function} {double} __fracthqdf (fract @var{a})
1195 @deftypefnx {Runtime Function} {short fract} __fractsqqq2 (long fract @var{a})
1196 @deftypefnx {Runtime Function} {fract} __fractsqhq2 (long fract @var{a})
1197 @deftypefnx {Runtime Function} {long long fract} __fractsqdq2 (long fract @var{a})
1198 @deftypefnx {Runtime Function} {short accum} __fractsqha (long fract @var{a})
1199 @deftypefnx {Runtime Function} {accum} __fractsqsa (long fract @var{a})
1200 @deftypefnx {Runtime Function} {long accum} __fractsqda (long fract @var{a})
1201 @deftypefnx {Runtime Function} {long long accum} __fractsqta (long fract @var{a})
1202 @deftypefnx {Runtime Function} {unsigned short fract} __fractsquqq (long fract @var{a})
1203 @deftypefnx {Runtime Function} {unsigned fract} __fractsquhq (long fract @var{a})
1204 @deftypefnx {Runtime Function} {unsigned long fract} __fractsqusq (long fract @var{a})
1205 @deftypefnx {Runtime Function} {unsigned long long fract} __fractsqudq (long fract @var{a})
1206 @deftypefnx {Runtime Function} {unsigned short accum} __fractsquha (long fract @var{a})
1207 @deftypefnx {Runtime Function} {unsigned accum} __fractsqusa (long fract @var{a})
1208 @deftypefnx {Runtime Function} {unsigned long accum} __fractsquda (long fract @var{a})
1209 @deftypefnx {Runtime Function} {unsigned long long accum} __fractsquta (long fract @var{a})
1210 @deftypefnx {Runtime Function} {signed char} __fractsqqi (long fract @var{a})
1211 @deftypefnx {Runtime Function} {short} __fractsqhi (long fract @var{a})
1212 @deftypefnx {Runtime Function} {int} __fractsqsi (long fract @var{a})
1213 @deftypefnx {Runtime Function} {long} __fractsqdi (long fract @var{a})
1214 @deftypefnx {Runtime Function} {long long} __fractsqti (long fract @var{a})
1215 @deftypefnx {Runtime Function} {float} __fractsqsf (long fract @var{a})
1216 @deftypefnx {Runtime Function} {double} __fractsqdf (long fract @var{a})
1217 @deftypefnx {Runtime Function} {short fract} __fractdqqq2 (long long fract @var{a})
1218 @deftypefnx {Runtime Function} {fract} __fractdqhq2 (long long fract @var{a})
1219 @deftypefnx {Runtime Function} {long fract} __fractdqsq2 (long long fract @var{a})
1220 @deftypefnx {Runtime Function} {short accum} __fractdqha (long long fract @var{a})
1221 @deftypefnx {Runtime Function} {accum} __fractdqsa (long long fract @var{a})
1222 @deftypefnx {Runtime Function} {long accum} __fractdqda (long long fract @var{a})
1223 @deftypefnx {Runtime Function} {long long accum} __fractdqta (long long fract @var{a})
1224 @deftypefnx {Runtime Function} {unsigned short fract} __fractdquqq (long long fract @var{a})
1225 @deftypefnx {Runtime Function} {unsigned fract} __fractdquhq (long long fract @var{a})
1226 @deftypefnx {Runtime Function} {unsigned long fract} __fractdqusq (long long fract @var{a})
1227 @deftypefnx {Runtime Function} {unsigned long long fract} __fractdqudq (long long fract @var{a})
1228 @deftypefnx {Runtime Function} {unsigned short accum} __fractdquha (long long fract @var{a})
1229 @deftypefnx {Runtime Function} {unsigned accum} __fractdqusa (long long fract @var{a})
1230 @deftypefnx {Runtime Function} {unsigned long accum} __fractdquda (long long fract @var{a})
1231 @deftypefnx {Runtime Function} {unsigned long long accum} __fractdquta (long long fract @var{a})
1232 @deftypefnx {Runtime Function} {signed char} __fractdqqi (long long fract @var{a})
1233 @deftypefnx {Runtime Function} {short} __fractdqhi (long long fract @var{a})
1234 @deftypefnx {Runtime Function} {int} __fractdqsi (long long fract @var{a})
1235 @deftypefnx {Runtime Function} {long} __fractdqdi (long long fract @var{a})
1236 @deftypefnx {Runtime Function} {long long} __fractdqti (long long fract @var{a})
1237 @deftypefnx {Runtime Function} {float} __fractdqsf (long long fract @var{a})
1238 @deftypefnx {Runtime Function} {double} __fractdqdf (long long fract @var{a})
1239 @deftypefnx {Runtime Function} {short fract} __fracthaqq (short accum @var{a})
1240 @deftypefnx {Runtime Function} {fract} __fracthahq (short accum @var{a})
1241 @deftypefnx {Runtime Function} {long fract} __fracthasq (short accum @var{a})
1242 @deftypefnx {Runtime Function} {long long fract} __fracthadq (short accum @var{a})
1243 @deftypefnx {Runtime Function} {accum} __fracthasa2 (short accum @var{a})
1244 @deftypefnx {Runtime Function} {long accum} __fracthada2 (short accum @var{a})
1245 @deftypefnx {Runtime Function} {long long accum} __fracthata2 (short accum @var{a})
1246 @deftypefnx {Runtime Function} {unsigned short fract} __fracthauqq (short accum @var{a})
1247 @deftypefnx {Runtime Function} {unsigned fract} __fracthauhq (short accum @var{a})
1248 @deftypefnx {Runtime Function} {unsigned long fract} __fracthausq (short accum @var{a})
1249 @deftypefnx {Runtime Function} {unsigned long long fract} __fracthaudq (short accum @var{a})
1250 @deftypefnx {Runtime Function} {unsigned short accum} __fracthauha (short accum @var{a})
1251 @deftypefnx {Runtime Function} {unsigned accum} __fracthausa (short accum @var{a})
1252 @deftypefnx {Runtime Function} {unsigned long accum} __fracthauda (short accum @var{a})
1253 @deftypefnx {Runtime Function} {unsigned long long accum} __fracthauta (short accum @var{a})
1254 @deftypefnx {Runtime Function} {signed char} __fracthaqi (short accum @var{a})
1255 @deftypefnx {Runtime Function} {short} __fracthahi (short accum @var{a})
1256 @deftypefnx {Runtime Function} {int} __fracthasi (short accum @var{a})
1257 @deftypefnx {Runtime Function} {long} __fracthadi (short accum @var{a})
1258 @deftypefnx {Runtime Function} {long long} __fracthati (short accum @var{a})
1259 @deftypefnx {Runtime Function} {float} __fracthasf (short accum @var{a})
1260 @deftypefnx {Runtime Function} {double} __fracthadf (short accum @var{a})
1261 @deftypefnx {Runtime Function} {short fract} __fractsaqq (accum @var{a})
1262 @deftypefnx {Runtime Function} {fract} __fractsahq (accum @var{a})
1263 @deftypefnx {Runtime Function} {long fract} __fractsasq (accum @var{a})
1264 @deftypefnx {Runtime Function} {long long fract} __fractsadq (accum @var{a})
1265 @deftypefnx {Runtime Function} {short accum} __fractsaha2 (accum @var{a})
1266 @deftypefnx {Runtime Function} {long accum} __fractsada2 (accum @var{a})
1267 @deftypefnx {Runtime Function} {long long accum} __fractsata2 (accum @var{a})
1268 @deftypefnx {Runtime Function} {unsigned short fract} __fractsauqq (accum @var{a})
1269 @deftypefnx {Runtime Function} {unsigned fract} __fractsauhq (accum @var{a})
1270 @deftypefnx {Runtime Function} {unsigned long fract} __fractsausq (accum @var{a})
1271 @deftypefnx {Runtime Function} {unsigned long long fract} __fractsaudq (accum @var{a})
1272 @deftypefnx {Runtime Function} {unsigned short accum} __fractsauha (accum @var{a})
1273 @deftypefnx {Runtime Function} {unsigned accum} __fractsausa (accum @var{a})
1274 @deftypefnx {Runtime Function} {unsigned long accum} __fractsauda (accum @var{a})
1275 @deftypefnx {Runtime Function} {unsigned long long accum} __fractsauta (accum @var{a})
1276 @deftypefnx {Runtime Function} {signed char} __fractsaqi (accum @var{a})
1277 @deftypefnx {Runtime Function} {short} __fractsahi (accum @var{a})
1278 @deftypefnx {Runtime Function} {int} __fractsasi (accum @var{a})
1279 @deftypefnx {Runtime Function} {long} __fractsadi (accum @var{a})
1280 @deftypefnx {Runtime Function} {long long} __fractsati (accum @var{a})
1281 @deftypefnx {Runtime Function} {float} __fractsasf (accum @var{a})
1282 @deftypefnx {Runtime Function} {double} __fractsadf (accum @var{a})
1283 @deftypefnx {Runtime Function} {short fract} __fractdaqq (long accum @var{a})
1284 @deftypefnx {Runtime Function} {fract} __fractdahq (long accum @var{a})
1285 @deftypefnx {Runtime Function} {long fract} __fractdasq (long accum @var{a})
1286 @deftypefnx {Runtime Function} {long long fract} __fractdadq (long accum @var{a})
1287 @deftypefnx {Runtime Function} {short accum} __fractdaha2 (long accum @var{a})
1288 @deftypefnx {Runtime Function} {accum} __fractdasa2 (long accum @var{a})
1289 @deftypefnx {Runtime Function} {long long accum} __fractdata2 (long accum @var{a})
1290 @deftypefnx {Runtime Function} {unsigned short fract} __fractdauqq (long accum @var{a})
1291 @deftypefnx {Runtime Function} {unsigned fract} __fractdauhq (long accum @var{a})
1292 @deftypefnx {Runtime Function} {unsigned long fract} __fractdausq (long accum @var{a})
1293 @deftypefnx {Runtime Function} {unsigned long long fract} __fractdaudq (long accum @var{a})
1294 @deftypefnx {Runtime Function} {unsigned short accum} __fractdauha (long accum @var{a})
1295 @deftypefnx {Runtime Function} {unsigned accum} __fractdausa (long accum @var{a})
1296 @deftypefnx {Runtime Function} {unsigned long accum} __fractdauda (long accum @var{a})
1297 @deftypefnx {Runtime Function} {unsigned long long accum} __fractdauta (long accum @var{a})
1298 @deftypefnx {Runtime Function} {signed char} __fractdaqi (long accum @var{a})
1299 @deftypefnx {Runtime Function} {short} __fractdahi (long accum @var{a})
1300 @deftypefnx {Runtime Function} {int} __fractdasi (long accum @var{a})
1301 @deftypefnx {Runtime Function} {long} __fractdadi (long accum @var{a})
1302 @deftypefnx {Runtime Function} {long long} __fractdati (long accum @var{a})
1303 @deftypefnx {Runtime Function} {float} __fractdasf (long accum @var{a})
1304 @deftypefnx {Runtime Function} {double} __fractdadf (long accum @var{a})
1305 @deftypefnx {Runtime Function} {short fract} __fracttaqq (long long accum @var{a})
1306 @deftypefnx {Runtime Function} {fract} __fracttahq (long long accum @var{a})
1307 @deftypefnx {Runtime Function} {long fract} __fracttasq (long long accum @var{a})
1308 @deftypefnx {Runtime Function} {long long fract} __fracttadq (long long accum @var{a})
1309 @deftypefnx {Runtime Function} {short accum} __fracttaha2 (long long accum @var{a})
1310 @deftypefnx {Runtime Function} {accum} __fracttasa2 (long long accum @var{a})
1311 @deftypefnx {Runtime Function} {long accum} __fracttada2 (long long accum @var{a})
1312 @deftypefnx {Runtime Function} {unsigned short fract} __fracttauqq (long long accum @var{a})
1313 @deftypefnx {Runtime Function} {unsigned fract} __fracttauhq (long long accum @var{a})
1314 @deftypefnx {Runtime Function} {unsigned long fract} __fracttausq (long long accum @var{a})
1315 @deftypefnx {Runtime Function} {unsigned long long fract} __fracttaudq (long long accum @var{a})
1316 @deftypefnx {Runtime Function} {unsigned short accum} __fracttauha (long long accum @var{a})
1317 @deftypefnx {Runtime Function} {unsigned accum} __fracttausa (long long accum @var{a})
1318 @deftypefnx {Runtime Function} {unsigned long accum} __fracttauda (long long accum @var{a})
1319 @deftypefnx {Runtime Function} {unsigned long long accum} __fracttauta (long long accum @var{a})
1320 @deftypefnx {Runtime Function} {signed char} __fracttaqi (long long accum @var{a})
1321 @deftypefnx {Runtime Function} {short} __fracttahi (long long accum @var{a})
1322 @deftypefnx {Runtime Function} {int} __fracttasi (long long accum @var{a})
1323 @deftypefnx {Runtime Function} {long} __fracttadi (long long accum @var{a})
1324 @deftypefnx {Runtime Function} {long long} __fracttati (long long accum @var{a})
1325 @deftypefnx {Runtime Function} {float} __fracttasf (long long accum @var{a})
1326 @deftypefnx {Runtime Function} {double} __fracttadf (long long accum @var{a})
1327 @deftypefnx {Runtime Function} {short fract} __fractuqqqq (unsigned short fract @var{a})
1328 @deftypefnx {Runtime Function} {fract} __fractuqqhq (unsigned short fract @var{a})
1329 @deftypefnx {Runtime Function} {long fract} __fractuqqsq (unsigned short fract @var{a})
1330 @deftypefnx {Runtime Function} {long long fract} __fractuqqdq (unsigned short fract @var{a})
1331 @deftypefnx {Runtime Function} {short accum} __fractuqqha (unsigned short fract @var{a})
1332 @deftypefnx {Runtime Function} {accum} __fractuqqsa (unsigned short fract @var{a})
1333 @deftypefnx {Runtime Function} {long accum} __fractuqqda (unsigned short fract @var{a})
1334 @deftypefnx {Runtime Function} {long long accum} __fractuqqta (unsigned short fract @var{a})
1335 @deftypefnx {Runtime Function} {unsigned fract} __fractuqquhq2 (unsigned short fract @var{a})
1336 @deftypefnx {Runtime Function} {unsigned long fract} __fractuqqusq2 (unsigned short fract @var{a})
1337 @deftypefnx {Runtime Function} {unsigned long long fract} __fractuqqudq2 (unsigned short fract @var{a})
1338 @deftypefnx {Runtime Function} {unsigned short accum} __fractuqquha (unsigned short fract @var{a})
1339 @deftypefnx {Runtime Function} {unsigned accum} __fractuqqusa (unsigned short fract @var{a})
1340 @deftypefnx {Runtime Function} {unsigned long accum} __fractuqquda (unsigned short fract @var{a})
1341 @deftypefnx {Runtime Function} {unsigned long long accum} __fractuqquta (unsigned short fract @var{a})
1342 @deftypefnx {Runtime Function} {signed char} __fractuqqqi (unsigned short fract @var{a})
1343 @deftypefnx {Runtime Function} {short} __fractuqqhi (unsigned short fract @var{a})
1344 @deftypefnx {Runtime Function} {int} __fractuqqsi (unsigned short fract @var{a})
1345 @deftypefnx {Runtime Function} {long} __fractuqqdi (unsigned short fract @var{a})
1346 @deftypefnx {Runtime Function} {long long} __fractuqqti (unsigned short fract @var{a})
1347 @deftypefnx {Runtime Function} {float} __fractuqqsf (unsigned short fract @var{a})
1348 @deftypefnx {Runtime Function} {double} __fractuqqdf (unsigned short fract @var{a})
1349 @deftypefnx {Runtime Function} {short fract} __fractuhqqq (unsigned fract @var{a})
1350 @deftypefnx {Runtime Function} {fract} __fractuhqhq (unsigned fract @var{a})
1351 @deftypefnx {Runtime Function} {long fract} __fractuhqsq (unsigned fract @var{a})
1352 @deftypefnx {Runtime Function} {long long fract} __fractuhqdq (unsigned fract @var{a})
1353 @deftypefnx {Runtime Function} {short accum} __fractuhqha (unsigned fract @var{a})
1354 @deftypefnx {Runtime Function} {accum} __fractuhqsa (unsigned fract @var{a})
1355 @deftypefnx {Runtime Function} {long accum} __fractuhqda (unsigned fract @var{a})
1356 @deftypefnx {Runtime Function} {long long accum} __fractuhqta (unsigned fract @var{a})
1357 @deftypefnx {Runtime Function} {unsigned short fract} __fractuhquqq2 (unsigned fract @var{a})
1358 @deftypefnx {Runtime Function} {unsigned long fract} __fractuhqusq2 (unsigned fract @var{a})
1359 @deftypefnx {Runtime Function} {unsigned long long fract} __fractuhqudq2 (unsigned fract @var{a})
1360 @deftypefnx {Runtime Function} {unsigned short accum} __fractuhquha (unsigned fract @var{a})
1361 @deftypefnx {Runtime Function} {unsigned accum} __fractuhqusa (unsigned fract @var{a})
1362 @deftypefnx {Runtime Function} {unsigned long accum} __fractuhquda (unsigned fract @var{a})
1363 @deftypefnx {Runtime Function} {unsigned long long accum} __fractuhquta (unsigned fract @var{a})
1364 @deftypefnx {Runtime Function} {signed char} __fractuhqqi (unsigned fract @var{a})
1365 @deftypefnx {Runtime Function} {short} __fractuhqhi (unsigned fract @var{a})
1366 @deftypefnx {Runtime Function} {int} __fractuhqsi (unsigned fract @var{a})
1367 @deftypefnx {Runtime Function} {long} __fractuhqdi (unsigned fract @var{a})
1368 @deftypefnx {Runtime Function} {long long} __fractuhqti (unsigned fract @var{a})
1369 @deftypefnx {Runtime Function} {float} __fractuhqsf (unsigned fract @var{a})
1370 @deftypefnx {Runtime Function} {double} __fractuhqdf (unsigned fract @var{a})
1371 @deftypefnx {Runtime Function} {short fract} __fractusqqq (unsigned long fract @var{a})
1372 @deftypefnx {Runtime Function} {fract} __fractusqhq (unsigned long fract @var{a})
1373 @deftypefnx {Runtime Function} {long fract} __fractusqsq (unsigned long fract @var{a})
1374 @deftypefnx {Runtime Function} {long long fract} __fractusqdq (unsigned long fract @var{a})
1375 @deftypefnx {Runtime Function} {short accum} __fractusqha (unsigned long fract @var{a})
1376 @deftypefnx {Runtime Function} {accum} __fractusqsa (unsigned long fract @var{a})
1377 @deftypefnx {Runtime Function} {long accum} __fractusqda (unsigned long fract @var{a})
1378 @deftypefnx {Runtime Function} {long long accum} __fractusqta (unsigned long fract @var{a})
1379 @deftypefnx {Runtime Function} {unsigned short fract} __fractusquqq2 (unsigned long fract @var{a})
1380 @deftypefnx {Runtime Function} {unsigned fract} __fractusquhq2 (unsigned long fract @var{a})
1381 @deftypefnx {Runtime Function} {unsigned long long fract} __fractusqudq2 (unsigned long fract @var{a})
1382 @deftypefnx {Runtime Function} {unsigned short accum} __fractusquha (unsigned long fract @var{a})
1383 @deftypefnx {Runtime Function} {unsigned accum} __fractusqusa (unsigned long fract @var{a})
1384 @deftypefnx {Runtime Function} {unsigned long accum} __fractusquda (unsigned long fract @var{a})
1385 @deftypefnx {Runtime Function} {unsigned long long accum} __fractusquta (unsigned long fract @var{a})
1386 @deftypefnx {Runtime Function} {signed char} __fractusqqi (unsigned long fract @var{a})
1387 @deftypefnx {Runtime Function} {short} __fractusqhi (unsigned long fract @var{a})
1388 @deftypefnx {Runtime Function} {int} __fractusqsi (unsigned long fract @var{a})
1389 @deftypefnx {Runtime Function} {long} __fractusqdi (unsigned long fract @var{a})
1390 @deftypefnx {Runtime Function} {long long} __fractusqti (unsigned long fract @var{a})
1391 @deftypefnx {Runtime Function} {float} __fractusqsf (unsigned long fract @var{a})
1392 @deftypefnx {Runtime Function} {double} __fractusqdf (unsigned long fract @var{a})
1393 @deftypefnx {Runtime Function} {short fract} __fractudqqq (unsigned long long fract @var{a})
1394 @deftypefnx {Runtime Function} {fract} __fractudqhq (unsigned long long fract @var{a})
1395 @deftypefnx {Runtime Function} {long fract} __fractudqsq (unsigned long long fract @var{a})
1396 @deftypefnx {Runtime Function} {long long fract} __fractudqdq (unsigned long long fract @var{a})
1397 @deftypefnx {Runtime Function} {short accum} __fractudqha (unsigned long long fract @var{a})
1398 @deftypefnx {Runtime Function} {accum} __fractudqsa (unsigned long long fract @var{a})
1399 @deftypefnx {Runtime Function} {long accum} __fractudqda (unsigned long long fract @var{a})
1400 @deftypefnx {Runtime Function} {long long accum} __fractudqta (unsigned long long fract @var{a})
1401 @deftypefnx {Runtime Function} {unsigned short fract} __fractudquqq2 (unsigned long long fract @var{a})
1402 @deftypefnx {Runtime Function} {unsigned fract} __fractudquhq2 (unsigned long long fract @var{a})
1403 @deftypefnx {Runtime Function} {unsigned long fract} __fractudqusq2 (unsigned long long fract @var{a})
1404 @deftypefnx {Runtime Function} {unsigned short accum} __fractudquha (unsigned long long fract @var{a})
1405 @deftypefnx {Runtime Function} {unsigned accum} __fractudqusa (unsigned long long fract @var{a})
1406 @deftypefnx {Runtime Function} {unsigned long accum} __fractudquda (unsigned long long fract @var{a})
1407 @deftypefnx {Runtime Function} {unsigned long long accum} __fractudquta (unsigned long long fract @var{a})
1408 @deftypefnx {Runtime Function} {signed char} __fractudqqi (unsigned long long fract @var{a})
1409 @deftypefnx {Runtime Function} {short} __fractudqhi (unsigned long long fract @var{a})
1410 @deftypefnx {Runtime Function} {int} __fractudqsi (unsigned long long fract @var{a})
1411 @deftypefnx {Runtime Function} {long} __fractudqdi (unsigned long long fract @var{a})
1412 @deftypefnx {Runtime Function} {long long} __fractudqti (unsigned long long fract @var{a})
1413 @deftypefnx {Runtime Function} {float} __fractudqsf (unsigned long long fract @var{a})
1414 @deftypefnx {Runtime Function} {double} __fractudqdf (unsigned long long fract @var{a})
1415 @deftypefnx {Runtime Function} {short fract} __fractuhaqq (unsigned short accum @var{a})
1416 @deftypefnx {Runtime Function} {fract} __fractuhahq (unsigned short accum @var{a})
1417 @deftypefnx {Runtime Function} {long fract} __fractuhasq (unsigned short accum @var{a})
1418 @deftypefnx {Runtime Function} {long long fract} __fractuhadq (unsigned short accum @var{a})
1419 @deftypefnx {Runtime Function} {short accum} __fractuhaha (unsigned short accum @var{a})
1420 @deftypefnx {Runtime Function} {accum} __fractuhasa (unsigned short accum @var{a})
1421 @deftypefnx {Runtime Function} {long accum} __fractuhada (unsigned short accum @var{a})
1422 @deftypefnx {Runtime Function} {long long accum} __fractuhata (unsigned short accum @var{a})
1423 @deftypefnx {Runtime Function} {unsigned short fract} __fractuhauqq (unsigned short accum @var{a})
1424 @deftypefnx {Runtime Function} {unsigned fract} __fractuhauhq (unsigned short accum @var{a})
1425 @deftypefnx {Runtime Function} {unsigned long fract} __fractuhausq (unsigned short accum @var{a})
1426 @deftypefnx {Runtime Function} {unsigned long long fract} __fractuhaudq (unsigned short accum @var{a})
1427 @deftypefnx {Runtime Function} {unsigned accum} __fractuhausa2 (unsigned short accum @var{a})
1428 @deftypefnx {Runtime Function} {unsigned long accum} __fractuhauda2 (unsigned short accum @var{a})
1429 @deftypefnx {Runtime Function} {unsigned long long accum} __fractuhauta2 (unsigned short accum @var{a})
1430 @deftypefnx {Runtime Function} {signed char} __fractuhaqi (unsigned short accum @var{a})
1431 @deftypefnx {Runtime Function} {short} __fractuhahi (unsigned short accum @var{a})
1432 @deftypefnx {Runtime Function} {int} __fractuhasi (unsigned short accum @var{a})
1433 @deftypefnx {Runtime Function} {long} __fractuhadi (unsigned short accum @var{a})
1434 @deftypefnx {Runtime Function} {long long} __fractuhati (unsigned short accum @var{a})
1435 @deftypefnx {Runtime Function} {float} __fractuhasf (unsigned short accum @var{a})
1436 @deftypefnx {Runtime Function} {double} __fractuhadf (unsigned short accum @var{a})
1437 @deftypefnx {Runtime Function} {short fract} __fractusaqq (unsigned accum @var{a})
1438 @deftypefnx {Runtime Function} {fract} __fractusahq (unsigned accum @var{a})
1439 @deftypefnx {Runtime Function} {long fract} __fractusasq (unsigned accum @var{a})
1440 @deftypefnx {Runtime Function} {long long fract} __fractusadq (unsigned accum @var{a})
1441 @deftypefnx {Runtime Function} {short accum} __fractusaha (unsigned accum @var{a})
1442 @deftypefnx {Runtime Function} {accum} __fractusasa (unsigned accum @var{a})
1443 @deftypefnx {Runtime Function} {long accum} __fractusada (unsigned accum @var{a})
1444 @deftypefnx {Runtime Function} {long long accum} __fractusata (unsigned accum @var{a})
1445 @deftypefnx {Runtime Function} {unsigned short fract} __fractusauqq (unsigned accum @var{a})
1446 @deftypefnx {Runtime Function} {unsigned fract} __fractusauhq (unsigned accum @var{a})
1447 @deftypefnx {Runtime Function} {unsigned long fract} __fractusausq (unsigned accum @var{a})
1448 @deftypefnx {Runtime Function} {unsigned long long fract} __fractusaudq (unsigned accum @var{a})
1449 @deftypefnx {Runtime Function} {unsigned short accum} __fractusauha2 (unsigned accum @var{a})
1450 @deftypefnx {Runtime Function} {unsigned long accum} __fractusauda2 (unsigned accum @var{a})
1451 @deftypefnx {Runtime Function} {unsigned long long accum} __fractusauta2 (unsigned accum @var{a})
1452 @deftypefnx {Runtime Function} {signed char} __fractusaqi (unsigned accum @var{a})
1453 @deftypefnx {Runtime Function} {short} __fractusahi (unsigned accum @var{a})
1454 @deftypefnx {Runtime Function} {int} __fractusasi (unsigned accum @var{a})
1455 @deftypefnx {Runtime Function} {long} __fractusadi (unsigned accum @var{a})
1456 @deftypefnx {Runtime Function} {long long} __fractusati (unsigned accum @var{a})
1457 @deftypefnx {Runtime Function} {float} __fractusasf (unsigned accum @var{a})
1458 @deftypefnx {Runtime Function} {double} __fractusadf (unsigned accum @var{a})
1459 @deftypefnx {Runtime Function} {short fract} __fractudaqq (unsigned long accum @var{a})
1460 @deftypefnx {Runtime Function} {fract} __fractudahq (unsigned long accum @var{a})
1461 @deftypefnx {Runtime Function} {long fract} __fractudasq (unsigned long accum @var{a})
1462 @deftypefnx {Runtime Function} {long long fract} __fractudadq (unsigned long accum @var{a})
1463 @deftypefnx {Runtime Function} {short accum} __fractudaha (unsigned long accum @var{a})
1464 @deftypefnx {Runtime Function} {accum} __fractudasa (unsigned long accum @var{a})
1465 @deftypefnx {Runtime Function} {long accum} __fractudada (unsigned long accum @var{a})
1466 @deftypefnx {Runtime Function} {long long accum} __fractudata (unsigned long accum @var{a})
1467 @deftypefnx {Runtime Function} {unsigned short fract} __fractudauqq (unsigned long accum @var{a})
1468 @deftypefnx {Runtime Function} {unsigned fract} __fractudauhq (unsigned long accum @var{a})
1469 @deftypefnx {Runtime Function} {unsigned long fract} __fractudausq (unsigned long accum @var{a})
1470 @deftypefnx {Runtime Function} {unsigned long long fract} __fractudaudq (unsigned long accum @var{a})
1471 @deftypefnx {Runtime Function} {unsigned short accum} __fractudauha2 (unsigned long accum @var{a})
1472 @deftypefnx {Runtime Function} {unsigned accum} __fractudausa2 (unsigned long accum @var{a})
1473 @deftypefnx {Runtime Function} {unsigned long long accum} __fractudauta2 (unsigned long accum @var{a})
1474 @deftypefnx {Runtime Function} {signed char} __fractudaqi (unsigned long accum @var{a})
1475 @deftypefnx {Runtime Function} {short} __fractudahi (unsigned long accum @var{a})
1476 @deftypefnx {Runtime Function} {int} __fractudasi (unsigned long accum @var{a})
1477 @deftypefnx {Runtime Function} {long} __fractudadi (unsigned long accum @var{a})
1478 @deftypefnx {Runtime Function} {long long} __fractudati (unsigned long accum @var{a})
1479 @deftypefnx {Runtime Function} {float} __fractudasf (unsigned long accum @var{a})
1480 @deftypefnx {Runtime Function} {double} __fractudadf (unsigned long accum @var{a})
1481 @deftypefnx {Runtime Function} {short fract} __fractutaqq (unsigned long long accum @var{a})
1482 @deftypefnx {Runtime Function} {fract} __fractutahq (unsigned long long accum @var{a})
1483 @deftypefnx {Runtime Function} {long fract} __fractutasq (unsigned long long accum @var{a})
1484 @deftypefnx {Runtime Function} {long long fract} __fractutadq (unsigned long long accum @var{a})
1485 @deftypefnx {Runtime Function} {short accum} __fractutaha (unsigned long long accum @var{a})
1486 @deftypefnx {Runtime Function} {accum} __fractutasa (unsigned long long accum @var{a})
1487 @deftypefnx {Runtime Function} {long accum} __fractutada (unsigned long long accum @var{a})
1488 @deftypefnx {Runtime Function} {long long accum} __fractutata (unsigned long long accum @var{a})
1489 @deftypefnx {Runtime Function} {unsigned short fract} __fractutauqq (unsigned long long accum @var{a})
1490 @deftypefnx {Runtime Function} {unsigned fract} __fractutauhq (unsigned long long accum @var{a})
1491 @deftypefnx {Runtime Function} {unsigned long fract} __fractutausq (unsigned long long accum @var{a})
1492 @deftypefnx {Runtime Function} {unsigned long long fract} __fractutaudq (unsigned long long accum @var{a})
1493 @deftypefnx {Runtime Function} {unsigned short accum} __fractutauha2 (unsigned long long accum @var{a})
1494 @deftypefnx {Runtime Function} {unsigned accum} __fractutausa2 (unsigned long long accum @var{a})
1495 @deftypefnx {Runtime Function} {unsigned long accum} __fractutauda2 (unsigned long long accum @var{a})
1496 @deftypefnx {Runtime Function} {signed char} __fractutaqi (unsigned long long accum @var{a})
1497 @deftypefnx {Runtime Function} {short} __fractutahi (unsigned long long accum @var{a})
1498 @deftypefnx {Runtime Function} {int} __fractutasi (unsigned long long accum @var{a})
1499 @deftypefnx {Runtime Function} {long} __fractutadi (unsigned long long accum @var{a})
1500 @deftypefnx {Runtime Function} {long long} __fractutati (unsigned long long accum @var{a})
1501 @deftypefnx {Runtime Function} {float} __fractutasf (unsigned long long accum @var{a})
1502 @deftypefnx {Runtime Function} {double} __fractutadf (unsigned long long accum @var{a})
1503 @deftypefnx {Runtime Function} {short fract} __fractqiqq (signed char @var{a})
1504 @deftypefnx {Runtime Function} {fract} __fractqihq (signed char @var{a})
1505 @deftypefnx {Runtime Function} {long fract} __fractqisq (signed char @var{a})
1506 @deftypefnx {Runtime Function} {long long fract} __fractqidq (signed char @var{a})
1507 @deftypefnx {Runtime Function} {short accum} __fractqiha (signed char @var{a})
1508 @deftypefnx {Runtime Function} {accum} __fractqisa (signed char @var{a})
1509 @deftypefnx {Runtime Function} {long accum} __fractqida (signed char @var{a})
1510 @deftypefnx {Runtime Function} {long long accum} __fractqita (signed char @var{a})
1511 @deftypefnx {Runtime Function} {unsigned short fract} __fractqiuqq (signed char @var{a})
1512 @deftypefnx {Runtime Function} {unsigned fract} __fractqiuhq (signed char @var{a})
1513 @deftypefnx {Runtime Function} {unsigned long fract} __fractqiusq (signed char @var{a})
1514 @deftypefnx {Runtime Function} {unsigned long long fract} __fractqiudq (signed char @var{a})
1515 @deftypefnx {Runtime Function} {unsigned short accum} __fractqiuha (signed char @var{a})
1516 @deftypefnx {Runtime Function} {unsigned accum} __fractqiusa (signed char @var{a})
1517 @deftypefnx {Runtime Function} {unsigned long accum} __fractqiuda (signed char @var{a})
1518 @deftypefnx {Runtime Function} {unsigned long long accum} __fractqiuta (signed char @var{a})
1519 @deftypefnx {Runtime Function} {short fract} __fracthiqq (short @var{a})
1520 @deftypefnx {Runtime Function} {fract} __fracthihq (short @var{a})
1521 @deftypefnx {Runtime Function} {long fract} __fracthisq (short @var{a})
1522 @deftypefnx {Runtime Function} {long long fract} __fracthidq (short @var{a})
1523 @deftypefnx {Runtime Function} {short accum} __fracthiha (short @var{a})
1524 @deftypefnx {Runtime Function} {accum} __fracthisa (short @var{a})
1525 @deftypefnx {Runtime Function} {long accum} __fracthida (short @var{a})
1526 @deftypefnx {Runtime Function} {long long accum} __fracthita (short @var{a})
1527 @deftypefnx {Runtime Function} {unsigned short fract} __fracthiuqq (short @var{a})
1528 @deftypefnx {Runtime Function} {unsigned fract} __fracthiuhq (short @var{a})
1529 @deftypefnx {Runtime Function} {unsigned long fract} __fracthiusq (short @var{a})
1530 @deftypefnx {Runtime Function} {unsigned long long fract} __fracthiudq (short @var{a})
1531 @deftypefnx {Runtime Function} {unsigned short accum} __fracthiuha (short @var{a})
1532 @deftypefnx {Runtime Function} {unsigned accum} __fracthiusa (short @var{a})
1533 @deftypefnx {Runtime Function} {unsigned long accum} __fracthiuda (short @var{a})
1534 @deftypefnx {Runtime Function} {unsigned long long accum} __fracthiuta (short @var{a})
1535 @deftypefnx {Runtime Function} {short fract} __fractsiqq (int @var{a})
1536 @deftypefnx {Runtime Function} {fract} __fractsihq (int @var{a})
1537 @deftypefnx {Runtime Function} {long fract} __fractsisq (int @var{a})
1538 @deftypefnx {Runtime Function} {long long fract} __fractsidq (int @var{a})
1539 @deftypefnx {Runtime Function} {short accum} __fractsiha (int @var{a})
1540 @deftypefnx {Runtime Function} {accum} __fractsisa (int @var{a})
1541 @deftypefnx {Runtime Function} {long accum} __fractsida (int @var{a})
1542 @deftypefnx {Runtime Function} {long long accum} __fractsita (int @var{a})
1543 @deftypefnx {Runtime Function} {unsigned short fract} __fractsiuqq (int @var{a})
1544 @deftypefnx {Runtime Function} {unsigned fract} __fractsiuhq (int @var{a})
1545 @deftypefnx {Runtime Function} {unsigned long fract} __fractsiusq (int @var{a})
1546 @deftypefnx {Runtime Function} {unsigned long long fract} __fractsiudq (int @var{a})
1547 @deftypefnx {Runtime Function} {unsigned short accum} __fractsiuha (int @var{a})
1548 @deftypefnx {Runtime Function} {unsigned accum} __fractsiusa (int @var{a})
1549 @deftypefnx {Runtime Function} {unsigned long accum} __fractsiuda (int @var{a})
1550 @deftypefnx {Runtime Function} {unsigned long long accum} __fractsiuta (int @var{a})
1551 @deftypefnx {Runtime Function} {short fract} __fractdiqq (long @var{a})
1552 @deftypefnx {Runtime Function} {fract} __fractdihq (long @var{a})
1553 @deftypefnx {Runtime Function} {long fract} __fractdisq (long @var{a})
1554 @deftypefnx {Runtime Function} {long long fract} __fractdidq (long @var{a})
1555 @deftypefnx {Runtime Function} {short accum} __fractdiha (long @var{a})
1556 @deftypefnx {Runtime Function} {accum} __fractdisa (long @var{a})
1557 @deftypefnx {Runtime Function} {long accum} __fractdida (long @var{a})
1558 @deftypefnx {Runtime Function} {long long accum} __fractdita (long @var{a})
1559 @deftypefnx {Runtime Function} {unsigned short fract} __fractdiuqq (long @var{a})
1560 @deftypefnx {Runtime Function} {unsigned fract} __fractdiuhq (long @var{a})
1561 @deftypefnx {Runtime Function} {unsigned long fract} __fractdiusq (long @var{a})
1562 @deftypefnx {Runtime Function} {unsigned long long fract} __fractdiudq (long @var{a})
1563 @deftypefnx {Runtime Function} {unsigned short accum} __fractdiuha (long @var{a})
1564 @deftypefnx {Runtime Function} {unsigned accum} __fractdiusa (long @var{a})
1565 @deftypefnx {Runtime Function} {unsigned long accum} __fractdiuda (long @var{a})
1566 @deftypefnx {Runtime Function} {unsigned long long accum} __fractdiuta (long @var{a})
1567 @deftypefnx {Runtime Function} {short fract} __fracttiqq (long long @var{a})
1568 @deftypefnx {Runtime Function} {fract} __fracttihq (long long @var{a})
1569 @deftypefnx {Runtime Function} {long fract} __fracttisq (long long @var{a})
1570 @deftypefnx {Runtime Function} {long long fract} __fracttidq (long long @var{a})
1571 @deftypefnx {Runtime Function} {short accum} __fracttiha (long long @var{a})
1572 @deftypefnx {Runtime Function} {accum} __fracttisa (long long @var{a})
1573 @deftypefnx {Runtime Function} {long accum} __fracttida (long long @var{a})
1574 @deftypefnx {Runtime Function} {long long accum} __fracttita (long long @var{a})
1575 @deftypefnx {Runtime Function} {unsigned short fract} __fracttiuqq (long long @var{a})
1576 @deftypefnx {Runtime Function} {unsigned fract} __fracttiuhq (long long @var{a})
1577 @deftypefnx {Runtime Function} {unsigned long fract} __fracttiusq (long long @var{a})
1578 @deftypefnx {Runtime Function} {unsigned long long fract} __fracttiudq (long long @var{a})
1579 @deftypefnx {Runtime Function} {unsigned short accum} __fracttiuha (long long @var{a})
1580 @deftypefnx {Runtime Function} {unsigned accum} __fracttiusa (long long @var{a})
1581 @deftypefnx {Runtime Function} {unsigned long accum} __fracttiuda (long long @var{a})
1582 @deftypefnx {Runtime Function} {unsigned long long accum} __fracttiuta (long long @var{a})
1583 @deftypefnx {Runtime Function} {short fract} __fractsfqq (float @var{a})
1584 @deftypefnx {Runtime Function} {fract} __fractsfhq (float @var{a})
1585 @deftypefnx {Runtime Function} {long fract} __fractsfsq (float @var{a})
1586 @deftypefnx {Runtime Function} {long long fract} __fractsfdq (float @var{a})
1587 @deftypefnx {Runtime Function} {short accum} __fractsfha (float @var{a})
1588 @deftypefnx {Runtime Function} {accum} __fractsfsa (float @var{a})
1589 @deftypefnx {Runtime Function} {long accum} __fractsfda (float @var{a})
1590 @deftypefnx {Runtime Function} {long long accum} __fractsfta (float @var{a})
1591 @deftypefnx {Runtime Function} {unsigned short fract} __fractsfuqq (float @var{a})
1592 @deftypefnx {Runtime Function} {unsigned fract} __fractsfuhq (float @var{a})
1593 @deftypefnx {Runtime Function} {unsigned long fract} __fractsfusq (float @var{a})
1594 @deftypefnx {Runtime Function} {unsigned long long fract} __fractsfudq (float @var{a})
1595 @deftypefnx {Runtime Function} {unsigned short accum} __fractsfuha (float @var{a})
1596 @deftypefnx {Runtime Function} {unsigned accum} __fractsfusa (float @var{a})
1597 @deftypefnx {Runtime Function} {unsigned long accum} __fractsfuda (float @var{a})
1598 @deftypefnx {Runtime Function} {unsigned long long accum} __fractsfuta (float @var{a})
1599 @deftypefnx {Runtime Function} {short fract} __fractdfqq (double @var{a})
1600 @deftypefnx {Runtime Function} {fract} __fractdfhq (double @var{a})
1601 @deftypefnx {Runtime Function} {long fract} __fractdfsq (double @var{a})
1602 @deftypefnx {Runtime Function} {long long fract} __fractdfdq (double @var{a})
1603 @deftypefnx {Runtime Function} {short accum} __fractdfha (double @var{a})
1604 @deftypefnx {Runtime Function} {accum} __fractdfsa (double @var{a})
1605 @deftypefnx {Runtime Function} {long accum} __fractdfda (double @var{a})
1606 @deftypefnx {Runtime Function} {long long accum} __fractdfta (double @var{a})
1607 @deftypefnx {Runtime Function} {unsigned short fract} __fractdfuqq (double @var{a})
1608 @deftypefnx {Runtime Function} {unsigned fract} __fractdfuhq (double @var{a})
1609 @deftypefnx {Runtime Function} {unsigned long fract} __fractdfusq (double @var{a})
1610 @deftypefnx {Runtime Function} {unsigned long long fract} __fractdfudq (double @var{a})
1611 @deftypefnx {Runtime Function} {unsigned short accum} __fractdfuha (double @var{a})
1612 @deftypefnx {Runtime Function} {unsigned accum} __fractdfusa (double @var{a})
1613 @deftypefnx {Runtime Function} {unsigned long accum} __fractdfuda (double @var{a})
1614 @deftypefnx {Runtime Function} {unsigned long long accum} __fractdfuta (double @var{a})
1615 These functions convert from fractional and signed non-fractionals to
1616 fractionals and signed non-fractionals, without saturation.
1617 @end deftypefn
1618
1619 @deftypefn {Runtime Function} {fract} __satfractqqhq2 (short fract @var{a})
1620 @deftypefnx {Runtime Function} {long fract} __satfractqqsq2 (short fract @var{a})
1621 @deftypefnx {Runtime Function} {long long fract} __satfractqqdq2 (short fract @var{a})
1622 @deftypefnx {Runtime Function} {short accum} __satfractqqha (short fract @var{a})
1623 @deftypefnx {Runtime Function} {accum} __satfractqqsa (short fract @var{a})
1624 @deftypefnx {Runtime Function} {long accum} __satfractqqda (short fract @var{a})
1625 @deftypefnx {Runtime Function} {long long accum} __satfractqqta (short fract @var{a})
1626 @deftypefnx {Runtime Function} {unsigned short fract} __satfractqquqq (short fract @var{a})
1627 @deftypefnx {Runtime Function} {unsigned fract} __satfractqquhq (short fract @var{a})
1628 @deftypefnx {Runtime Function} {unsigned long fract} __satfractqqusq (short fract @var{a})
1629 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractqqudq (short fract @var{a})
1630 @deftypefnx {Runtime Function} {unsigned short accum} __satfractqquha (short fract @var{a})
1631 @deftypefnx {Runtime Function} {unsigned accum} __satfractqqusa (short fract @var{a})
1632 @deftypefnx {Runtime Function} {unsigned long accum} __satfractqquda (short fract @var{a})
1633 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractqquta (short fract @var{a})
1634 @deftypefnx {Runtime Function} {short fract} __satfracthqqq2 (fract @var{a})
1635 @deftypefnx {Runtime Function} {long fract} __satfracthqsq2 (fract @var{a})
1636 @deftypefnx {Runtime Function} {long long fract} __satfracthqdq2 (fract @var{a})
1637 @deftypefnx {Runtime Function} {short accum} __satfracthqha (fract @var{a})
1638 @deftypefnx {Runtime Function} {accum} __satfracthqsa (fract @var{a})
1639 @deftypefnx {Runtime Function} {long accum} __satfracthqda (fract @var{a})
1640 @deftypefnx {Runtime Function} {long long accum} __satfracthqta (fract @var{a})
1641 @deftypefnx {Runtime Function} {unsigned short fract} __satfracthquqq (fract @var{a})
1642 @deftypefnx {Runtime Function} {unsigned fract} __satfracthquhq (fract @var{a})
1643 @deftypefnx {Runtime Function} {unsigned long fract} __satfracthqusq (fract @var{a})
1644 @deftypefnx {Runtime Function} {unsigned long long fract} __satfracthqudq (fract @var{a})
1645 @deftypefnx {Runtime Function} {unsigned short accum} __satfracthquha (fract @var{a})
1646 @deftypefnx {Runtime Function} {unsigned accum} __satfracthqusa (fract @var{a})
1647 @deftypefnx {Runtime Function} {unsigned long accum} __satfracthquda (fract @var{a})
1648 @deftypefnx {Runtime Function} {unsigned long long accum} __satfracthquta (fract @var{a})
1649 @deftypefnx {Runtime Function} {short fract} __satfractsqqq2 (long fract @var{a})
1650 @deftypefnx {Runtime Function} {fract} __satfractsqhq2 (long fract @var{a})
1651 @deftypefnx {Runtime Function} {long long fract} __satfractsqdq2 (long fract @var{a})
1652 @deftypefnx {Runtime Function} {short accum} __satfractsqha (long fract @var{a})
1653 @deftypefnx {Runtime Function} {accum} __satfractsqsa (long fract @var{a})
1654 @deftypefnx {Runtime Function} {long accum} __satfractsqda (long fract @var{a})
1655 @deftypefnx {Runtime Function} {long long accum} __satfractsqta (long fract @var{a})
1656 @deftypefnx {Runtime Function} {unsigned short fract} __satfractsquqq (long fract @var{a})
1657 @deftypefnx {Runtime Function} {unsigned fract} __satfractsquhq (long fract @var{a})
1658 @deftypefnx {Runtime Function} {unsigned long fract} __satfractsqusq (long fract @var{a})
1659 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractsqudq (long fract @var{a})
1660 @deftypefnx {Runtime Function} {unsigned short accum} __satfractsquha (long fract @var{a})
1661 @deftypefnx {Runtime Function} {unsigned accum} __satfractsqusa (long fract @var{a})
1662 @deftypefnx {Runtime Function} {unsigned long accum} __satfractsquda (long fract @var{a})
1663 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractsquta (long fract @var{a})
1664 @deftypefnx {Runtime Function} {short fract} __satfractdqqq2 (long long fract @var{a})
1665 @deftypefnx {Runtime Function} {fract} __satfractdqhq2 (long long fract @var{a})
1666 @deftypefnx {Runtime Function} {long fract} __satfractdqsq2 (long long fract @var{a})
1667 @deftypefnx {Runtime Function} {short accum} __satfractdqha (long long fract @var{a})
1668 @deftypefnx {Runtime Function} {accum} __satfractdqsa (long long fract @var{a})
1669 @deftypefnx {Runtime Function} {long accum} __satfractdqda (long long fract @var{a})
1670 @deftypefnx {Runtime Function} {long long accum} __satfractdqta (long long fract @var{a})
1671 @deftypefnx {Runtime Function} {unsigned short fract} __satfractdquqq (long long fract @var{a})
1672 @deftypefnx {Runtime Function} {unsigned fract} __satfractdquhq (long long fract @var{a})
1673 @deftypefnx {Runtime Function} {unsigned long fract} __satfractdqusq (long long fract @var{a})
1674 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractdqudq (long long fract @var{a})
1675 @deftypefnx {Runtime Function} {unsigned short accum} __satfractdquha (long long fract @var{a})
1676 @deftypefnx {Runtime Function} {unsigned accum} __satfractdqusa (long long fract @var{a})
1677 @deftypefnx {Runtime Function} {unsigned long accum} __satfractdquda (long long fract @var{a})
1678 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractdquta (long long fract @var{a})
1679 @deftypefnx {Runtime Function} {short fract} __satfracthaqq (short accum @var{a})
1680 @deftypefnx {Runtime Function} {fract} __satfracthahq (short accum @var{a})
1681 @deftypefnx {Runtime Function} {long fract} __satfracthasq (short accum @var{a})
1682 @deftypefnx {Runtime Function} {long long fract} __satfracthadq (short accum @var{a})
1683 @deftypefnx {Runtime Function} {accum} __satfracthasa2 (short accum @var{a})
1684 @deftypefnx {Runtime Function} {long accum} __satfracthada2 (short accum @var{a})
1685 @deftypefnx {Runtime Function} {long long accum} __satfracthata2 (short accum @var{a})
1686 @deftypefnx {Runtime Function} {unsigned short fract} __satfracthauqq (short accum @var{a})
1687 @deftypefnx {Runtime Function} {unsigned fract} __satfracthauhq (short accum @var{a})
1688 @deftypefnx {Runtime Function} {unsigned long fract} __satfracthausq (short accum @var{a})
1689 @deftypefnx {Runtime Function} {unsigned long long fract} __satfracthaudq (short accum @var{a})
1690 @deftypefnx {Runtime Function} {unsigned short accum} __satfracthauha (short accum @var{a})
1691 @deftypefnx {Runtime Function} {unsigned accum} __satfracthausa (short accum @var{a})
1692 @deftypefnx {Runtime Function} {unsigned long accum} __satfracthauda (short accum @var{a})
1693 @deftypefnx {Runtime Function} {unsigned long long accum} __satfracthauta (short accum @var{a})
1694 @deftypefnx {Runtime Function} {short fract} __satfractsaqq (accum @var{a})
1695 @deftypefnx {Runtime Function} {fract} __satfractsahq (accum @var{a})
1696 @deftypefnx {Runtime Function} {long fract} __satfractsasq (accum @var{a})
1697 @deftypefnx {Runtime Function} {long long fract} __satfractsadq (accum @var{a})
1698 @deftypefnx {Runtime Function} {short accum} __satfractsaha2 (accum @var{a})
1699 @deftypefnx {Runtime Function} {long accum} __satfractsada2 (accum @var{a})
1700 @deftypefnx {Runtime Function} {long long accum} __satfractsata2 (accum @var{a})
1701 @deftypefnx {Runtime Function} {unsigned short fract} __satfractsauqq (accum @var{a})
1702 @deftypefnx {Runtime Function} {unsigned fract} __satfractsauhq (accum @var{a})
1703 @deftypefnx {Runtime Function} {unsigned long fract} __satfractsausq (accum @var{a})
1704 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractsaudq (accum @var{a})
1705 @deftypefnx {Runtime Function} {unsigned short accum} __satfractsauha (accum @var{a})
1706 @deftypefnx {Runtime Function} {unsigned accum} __satfractsausa (accum @var{a})
1707 @deftypefnx {Runtime Function} {unsigned long accum} __satfractsauda (accum @var{a})
1708 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractsauta (accum @var{a})
1709 @deftypefnx {Runtime Function} {short fract} __satfractdaqq (long accum @var{a})
1710 @deftypefnx {Runtime Function} {fract} __satfractdahq (long accum @var{a})
1711 @deftypefnx {Runtime Function} {long fract} __satfractdasq (long accum @var{a})
1712 @deftypefnx {Runtime Function} {long long fract} __satfractdadq (long accum @var{a})
1713 @deftypefnx {Runtime Function} {short accum} __satfractdaha2 (long accum @var{a})
1714 @deftypefnx {Runtime Function} {accum} __satfractdasa2 (long accum @var{a})
1715 @deftypefnx {Runtime Function} {long long accum} __satfractdata2 (long accum @var{a})
1716 @deftypefnx {Runtime Function} {unsigned short fract} __satfractdauqq (long accum @var{a})
1717 @deftypefnx {Runtime Function} {unsigned fract} __satfractdauhq (long accum @var{a})
1718 @deftypefnx {Runtime Function} {unsigned long fract} __satfractdausq (long accum @var{a})
1719 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractdaudq (long accum @var{a})
1720 @deftypefnx {Runtime Function} {unsigned short accum} __satfractdauha (long accum @var{a})
1721 @deftypefnx {Runtime Function} {unsigned accum} __satfractdausa (long accum @var{a})
1722 @deftypefnx {Runtime Function} {unsigned long accum} __satfractdauda (long accum @var{a})
1723 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractdauta (long accum @var{a})
1724 @deftypefnx {Runtime Function} {short fract} __satfracttaqq (long long accum @var{a})
1725 @deftypefnx {Runtime Function} {fract} __satfracttahq (long long accum @var{a})
1726 @deftypefnx {Runtime Function} {long fract} __satfracttasq (long long accum @var{a})
1727 @deftypefnx {Runtime Function} {long long fract} __satfracttadq (long long accum @var{a})
1728 @deftypefnx {Runtime Function} {short accum} __satfracttaha2 (long long accum @var{a})
1729 @deftypefnx {Runtime Function} {accum} __satfracttasa2 (long long accum @var{a})
1730 @deftypefnx {Runtime Function} {long accum} __satfracttada2 (long long accum @var{a})
1731 @deftypefnx {Runtime Function} {unsigned short fract} __satfracttauqq (long long accum @var{a})
1732 @deftypefnx {Runtime Function} {unsigned fract} __satfracttauhq (long long accum @var{a})
1733 @deftypefnx {Runtime Function} {unsigned long fract} __satfracttausq (long long accum @var{a})
1734 @deftypefnx {Runtime Function} {unsigned long long fract} __satfracttaudq (long long accum @var{a})
1735 @deftypefnx {Runtime Function} {unsigned short accum} __satfracttauha (long long accum @var{a})
1736 @deftypefnx {Runtime Function} {unsigned accum} __satfracttausa (long long accum @var{a})
1737 @deftypefnx {Runtime Function} {unsigned long accum} __satfracttauda (long long accum @var{a})
1738 @deftypefnx {Runtime Function} {unsigned long long accum} __satfracttauta (long long accum @var{a})
1739 @deftypefnx {Runtime Function} {short fract} __satfractuqqqq (unsigned short fract @var{a})
1740 @deftypefnx {Runtime Function} {fract} __satfractuqqhq (unsigned short fract @var{a})
1741 @deftypefnx {Runtime Function} {long fract} __satfractuqqsq (unsigned short fract @var{a})
1742 @deftypefnx {Runtime Function} {long long fract} __satfractuqqdq (unsigned short fract @var{a})
1743 @deftypefnx {Runtime Function} {short accum} __satfractuqqha (unsigned short fract @var{a})
1744 @deftypefnx {Runtime Function} {accum} __satfractuqqsa (unsigned short fract @var{a})
1745 @deftypefnx {Runtime Function} {long accum} __satfractuqqda (unsigned short fract @var{a})
1746 @deftypefnx {Runtime Function} {long long accum} __satfractuqqta (unsigned short fract @var{a})
1747 @deftypefnx {Runtime Function} {unsigned fract} __satfractuqquhq2 (unsigned short fract @var{a})
1748 @deftypefnx {Runtime Function} {unsigned long fract} __satfractuqqusq2 (unsigned short fract @var{a})
1749 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractuqqudq2 (unsigned short fract @var{a})
1750 @deftypefnx {Runtime Function} {unsigned short accum} __satfractuqquha (unsigned short fract @var{a})
1751 @deftypefnx {Runtime Function} {unsigned accum} __satfractuqqusa (unsigned short fract @var{a})
1752 @deftypefnx {Runtime Function} {unsigned long accum} __satfractuqquda (unsigned short fract @var{a})
1753 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractuqquta (unsigned short fract @var{a})
1754 @deftypefnx {Runtime Function} {short fract} __satfractuhqqq (unsigned fract @var{a})
1755 @deftypefnx {Runtime Function} {fract} __satfractuhqhq (unsigned fract @var{a})
1756 @deftypefnx {Runtime Function} {long fract} __satfractuhqsq (unsigned fract @var{a})
1757 @deftypefnx {Runtime Function} {long long fract} __satfractuhqdq (unsigned fract @var{a})
1758 @deftypefnx {Runtime Function} {short accum} __satfractuhqha (unsigned fract @var{a})
1759 @deftypefnx {Runtime Function} {accum} __satfractuhqsa (unsigned fract @var{a})
1760 @deftypefnx {Runtime Function} {long accum} __satfractuhqda (unsigned fract @var{a})
1761 @deftypefnx {Runtime Function} {long long accum} __satfractuhqta (unsigned fract @var{a})
1762 @deftypefnx {Runtime Function} {unsigned short fract} __satfractuhquqq2 (unsigned fract @var{a})
1763 @deftypefnx {Runtime Function} {unsigned long fract} __satfractuhqusq2 (unsigned fract @var{a})
1764 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractuhqudq2 (unsigned fract @var{a})
1765 @deftypefnx {Runtime Function} {unsigned short accum} __satfractuhquha (unsigned fract @var{a})
1766 @deftypefnx {Runtime Function} {unsigned accum} __satfractuhqusa (unsigned fract @var{a})
1767 @deftypefnx {Runtime Function} {unsigned long accum} __satfractuhquda (unsigned fract @var{a})
1768 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractuhquta (unsigned fract @var{a})
1769 @deftypefnx {Runtime Function} {short fract} __satfractusqqq (unsigned long fract @var{a})
1770 @deftypefnx {Runtime Function} {fract} __satfractusqhq (unsigned long fract @var{a})
1771 @deftypefnx {Runtime Function} {long fract} __satfractusqsq (unsigned long fract @var{a})
1772 @deftypefnx {Runtime Function} {long long fract} __satfractusqdq (unsigned long fract @var{a})
1773 @deftypefnx {Runtime Function} {short accum} __satfractusqha (unsigned long fract @var{a})
1774 @deftypefnx {Runtime Function} {accum} __satfractusqsa (unsigned long fract @var{a})
1775 @deftypefnx {Runtime Function} {long accum} __satfractusqda (unsigned long fract @var{a})
1776 @deftypefnx {Runtime Function} {long long accum} __satfractusqta (unsigned long fract @var{a})
1777 @deftypefnx {Runtime Function} {unsigned short fract} __satfractusquqq2 (unsigned long fract @var{a})
1778 @deftypefnx {Runtime Function} {unsigned fract} __satfractusquhq2 (unsigned long fract @var{a})
1779 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractusqudq2 (unsigned long fract @var{a})
1780 @deftypefnx {Runtime Function} {unsigned short accum} __satfractusquha (unsigned long fract @var{a})
1781 @deftypefnx {Runtime Function} {unsigned accum} __satfractusqusa (unsigned long fract @var{a})
1782 @deftypefnx {Runtime Function} {unsigned long accum} __satfractusquda (unsigned long fract @var{a})
1783 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractusquta (unsigned long fract @var{a})
1784 @deftypefnx {Runtime Function} {short fract} __satfractudqqq (unsigned long long fract @var{a})
1785 @deftypefnx {Runtime Function} {fract} __satfractudqhq (unsigned long long fract @var{a})
1786 @deftypefnx {Runtime Function} {long fract} __satfractudqsq (unsigned long long fract @var{a})
1787 @deftypefnx {Runtime Function} {long long fract} __satfractudqdq (unsigned long long fract @var{a})
1788 @deftypefnx {Runtime Function} {short accum} __satfractudqha (unsigned long long fract @var{a})
1789 @deftypefnx {Runtime Function} {accum} __satfractudqsa (unsigned long long fract @var{a})
1790 @deftypefnx {Runtime Function} {long accum} __satfractudqda (unsigned long long fract @var{a})
1791 @deftypefnx {Runtime Function} {long long accum} __satfractudqta (unsigned long long fract @var{a})
1792 @deftypefnx {Runtime Function} {unsigned short fract} __satfractudquqq2 (unsigned long long fract @var{a})
1793 @deftypefnx {Runtime Function} {unsigned fract} __satfractudquhq2 (unsigned long long fract @var{a})
1794 @deftypefnx {Runtime Function} {unsigned long fract} __satfractudqusq2 (unsigned long long fract @var{a})
1795 @deftypefnx {Runtime Function} {unsigned short accum} __satfractudquha (unsigned long long fract @var{a})
1796 @deftypefnx {Runtime Function} {unsigned accum} __satfractudqusa (unsigned long long fract @var{a})
1797 @deftypefnx {Runtime Function} {unsigned long accum} __satfractudquda (unsigned long long fract @var{a})
1798 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractudquta (unsigned long long fract @var{a})
1799 @deftypefnx {Runtime Function} {short fract} __satfractuhaqq (unsigned short accum @var{a})
1800 @deftypefnx {Runtime Function} {fract} __satfractuhahq (unsigned short accum @var{a})
1801 @deftypefnx {Runtime Function} {long fract} __satfractuhasq (unsigned short accum @var{a})
1802 @deftypefnx {Runtime Function} {long long fract} __satfractuhadq (unsigned short accum @var{a})
1803 @deftypefnx {Runtime Function} {short accum} __satfractuhaha (unsigned short accum @var{a})
1804 @deftypefnx {Runtime Function} {accum} __satfractuhasa (unsigned short accum @var{a})
1805 @deftypefnx {Runtime Function} {long accum} __satfractuhada (unsigned short accum @var{a})
1806 @deftypefnx {Runtime Function} {long long accum} __satfractuhata (unsigned short accum @var{a})
1807 @deftypefnx {Runtime Function} {unsigned short fract} __satfractuhauqq (unsigned short accum @var{a})
1808 @deftypefnx {Runtime Function} {unsigned fract} __satfractuhauhq (unsigned short accum @var{a})
1809 @deftypefnx {Runtime Function} {unsigned long fract} __satfractuhausq (unsigned short accum @var{a})
1810 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractuhaudq (unsigned short accum @var{a})
1811 @deftypefnx {Runtime Function} {unsigned accum} __satfractuhausa2 (unsigned short accum @var{a})
1812 @deftypefnx {Runtime Function} {unsigned long accum} __satfractuhauda2 (unsigned short accum @var{a})
1813 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractuhauta2 (unsigned short accum @var{a})
1814 @deftypefnx {Runtime Function} {short fract} __satfractusaqq (unsigned accum @var{a})
1815 @deftypefnx {Runtime Function} {fract} __satfractusahq (unsigned accum @var{a})
1816 @deftypefnx {Runtime Function} {long fract} __satfractusasq (unsigned accum @var{a})
1817 @deftypefnx {Runtime Function} {long long fract} __satfractusadq (unsigned accum @var{a})
1818 @deftypefnx {Runtime Function} {short accum} __satfractusaha (unsigned accum @var{a})
1819 @deftypefnx {Runtime Function} {accum} __satfractusasa (unsigned accum @var{a})
1820 @deftypefnx {Runtime Function} {long accum} __satfractusada (unsigned accum @var{a})
1821 @deftypefnx {Runtime Function} {long long accum} __satfractusata (unsigned accum @var{a})
1822 @deftypefnx {Runtime Function} {unsigned short fract} __satfractusauqq (unsigned accum @var{a})
1823 @deftypefnx {Runtime Function} {unsigned fract} __satfractusauhq (unsigned accum @var{a})
1824 @deftypefnx {Runtime Function} {unsigned long fract} __satfractusausq (unsigned accum @var{a})
1825 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractusaudq (unsigned accum @var{a})
1826 @deftypefnx {Runtime Function} {unsigned short accum} __satfractusauha2 (unsigned accum @var{a})
1827 @deftypefnx {Runtime Function} {unsigned long accum} __satfractusauda2 (unsigned accum @var{a})
1828 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractusauta2 (unsigned accum @var{a})
1829 @deftypefnx {Runtime Function} {short fract} __satfractudaqq (unsigned long accum @var{a})
1830 @deftypefnx {Runtime Function} {fract} __satfractudahq (unsigned long accum @var{a})
1831 @deftypefnx {Runtime Function} {long fract} __satfractudasq (unsigned long accum @var{a})
1832 @deftypefnx {Runtime Function} {long long fract} __satfractudadq (unsigned long accum @var{a})
1833 @deftypefnx {Runtime Function} {short accum} __satfractudaha (unsigned long accum @var{a})
1834 @deftypefnx {Runtime Function} {accum} __satfractudasa (unsigned long accum @var{a})
1835 @deftypefnx {Runtime Function} {long accum} __satfractudada (unsigned long accum @var{a})
1836 @deftypefnx {Runtime Function} {long long accum} __satfractudata (unsigned long accum @var{a})
1837 @deftypefnx {Runtime Function} {unsigned short fract} __satfractudauqq (unsigned long accum @var{a})
1838 @deftypefnx {Runtime Function} {unsigned fract} __satfractudauhq (unsigned long accum @var{a})
1839 @deftypefnx {Runtime Function} {unsigned long fract} __satfractudausq (unsigned long accum @var{a})
1840 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractudaudq (unsigned long accum @var{a})
1841 @deftypefnx {Runtime Function} {unsigned short accum} __satfractudauha2 (unsigned long accum @var{a})
1842 @deftypefnx {Runtime Function} {unsigned accum} __satfractudausa2 (unsigned long accum @var{a})
1843 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractudauta2 (unsigned long accum @var{a})
1844 @deftypefnx {Runtime Function} {short fract} __satfractutaqq (unsigned long long accum @var{a})
1845 @deftypefnx {Runtime Function} {fract} __satfractutahq (unsigned long long accum @var{a})
1846 @deftypefnx {Runtime Function} {long fract} __satfractutasq (unsigned long long accum @var{a})
1847 @deftypefnx {Runtime Function} {long long fract} __satfractutadq (unsigned long long accum @var{a})
1848 @deftypefnx {Runtime Function} {short accum} __satfractutaha (unsigned long long accum @var{a})
1849 @deftypefnx {Runtime Function} {accum} __satfractutasa (unsigned long long accum @var{a})
1850 @deftypefnx {Runtime Function} {long accum} __satfractutada (unsigned long long accum @var{a})
1851 @deftypefnx {Runtime Function} {long long accum} __satfractutata (unsigned long long accum @var{a})
1852 @deftypefnx {Runtime Function} {unsigned short fract} __satfractutauqq (unsigned long long accum @var{a})
1853 @deftypefnx {Runtime Function} {unsigned fract} __satfractutauhq (unsigned long long accum @var{a})
1854 @deftypefnx {Runtime Function} {unsigned long fract} __satfractutausq (unsigned long long accum @var{a})
1855 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractutaudq (unsigned long long accum @var{a})
1856 @deftypefnx {Runtime Function} {unsigned short accum} __satfractutauha2 (unsigned long long accum @var{a})
1857 @deftypefnx {Runtime Function} {unsigned accum} __satfractutausa2 (unsigned long long accum @var{a})
1858 @deftypefnx {Runtime Function} {unsigned long accum} __satfractutauda2 (unsigned long long accum @var{a})
1859 @deftypefnx {Runtime Function} {short fract} __satfractqiqq (signed char @var{a})
1860 @deftypefnx {Runtime Function} {fract} __satfractqihq (signed char @var{a})
1861 @deftypefnx {Runtime Function} {long fract} __satfractqisq (signed char @var{a})
1862 @deftypefnx {Runtime Function} {long long fract} __satfractqidq (signed char @var{a})
1863 @deftypefnx {Runtime Function} {short accum} __satfractqiha (signed char @var{a})
1864 @deftypefnx {Runtime Function} {accum} __satfractqisa (signed char @var{a})
1865 @deftypefnx {Runtime Function} {long accum} __satfractqida (signed char @var{a})
1866 @deftypefnx {Runtime Function} {long long accum} __satfractqita (signed char @var{a})
1867 @deftypefnx {Runtime Function} {unsigned short fract} __satfractqiuqq (signed char @var{a})
1868 @deftypefnx {Runtime Function} {unsigned fract} __satfractqiuhq (signed char @var{a})
1869 @deftypefnx {Runtime Function} {unsigned long fract} __satfractqiusq (signed char @var{a})
1870 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractqiudq (signed char @var{a})
1871 @deftypefnx {Runtime Function} {unsigned short accum} __satfractqiuha (signed char @var{a})
1872 @deftypefnx {Runtime Function} {unsigned accum} __satfractqiusa (signed char @var{a})
1873 @deftypefnx {Runtime Function} {unsigned long accum} __satfractqiuda (signed char @var{a})
1874 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractqiuta (signed char @var{a})
1875 @deftypefnx {Runtime Function} {short fract} __satfracthiqq (short @var{a})
1876 @deftypefnx {Runtime Function} {fract} __satfracthihq (short @var{a})
1877 @deftypefnx {Runtime Function} {long fract} __satfracthisq (short @var{a})
1878 @deftypefnx {Runtime Function} {long long fract} __satfracthidq (short @var{a})
1879 @deftypefnx {Runtime Function} {short accum} __satfracthiha (short @var{a})
1880 @deftypefnx {Runtime Function} {accum} __satfracthisa (short @var{a})
1881 @deftypefnx {Runtime Function} {long accum} __satfracthida (short @var{a})
1882 @deftypefnx {Runtime Function} {long long accum} __satfracthita (short @var{a})
1883 @deftypefnx {Runtime Function} {unsigned short fract} __satfracthiuqq (short @var{a})
1884 @deftypefnx {Runtime Function} {unsigned fract} __satfracthiuhq (short @var{a})
1885 @deftypefnx {Runtime Function} {unsigned long fract} __satfracthiusq (short @var{a})
1886 @deftypefnx {Runtime Function} {unsigned long long fract} __satfracthiudq (short @var{a})
1887 @deftypefnx {Runtime Function} {unsigned short accum} __satfracthiuha (short @var{a})
1888 @deftypefnx {Runtime Function} {unsigned accum} __satfracthiusa (short @var{a})
1889 @deftypefnx {Runtime Function} {unsigned long accum} __satfracthiuda (short @var{a})
1890 @deftypefnx {Runtime Function} {unsigned long long accum} __satfracthiuta (short @var{a})
1891 @deftypefnx {Runtime Function} {short fract} __satfractsiqq (int @var{a})
1892 @deftypefnx {Runtime Function} {fract} __satfractsihq (int @var{a})
1893 @deftypefnx {Runtime Function} {long fract} __satfractsisq (int @var{a})
1894 @deftypefnx {Runtime Function} {long long fract} __satfractsidq (int @var{a})
1895 @deftypefnx {Runtime Function} {short accum} __satfractsiha (int @var{a})
1896 @deftypefnx {Runtime Function} {accum} __satfractsisa (int @var{a})
1897 @deftypefnx {Runtime Function} {long accum} __satfractsida (int @var{a})
1898 @deftypefnx {Runtime Function} {long long accum} __satfractsita (int @var{a})
1899 @deftypefnx {Runtime Function} {unsigned short fract} __satfractsiuqq (int @var{a})
1900 @deftypefnx {Runtime Function} {unsigned fract} __satfractsiuhq (int @var{a})
1901 @deftypefnx {Runtime Function} {unsigned long fract} __satfractsiusq (int @var{a})
1902 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractsiudq (int @var{a})
1903 @deftypefnx {Runtime Function} {unsigned short accum} __satfractsiuha (int @var{a})
1904 @deftypefnx {Runtime Function} {unsigned accum} __satfractsiusa (int @var{a})
1905 @deftypefnx {Runtime Function} {unsigned long accum} __satfractsiuda (int @var{a})
1906 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractsiuta (int @var{a})
1907 @deftypefnx {Runtime Function} {short fract} __satfractdiqq (long @var{a})
1908 @deftypefnx {Runtime Function} {fract} __satfractdihq (long @var{a})
1909 @deftypefnx {Runtime Function} {long fract} __satfractdisq (long @var{a})
1910 @deftypefnx {Runtime Function} {long long fract} __satfractdidq (long @var{a})
1911 @deftypefnx {Runtime Function} {short accum} __satfractdiha (long @var{a})
1912 @deftypefnx {Runtime Function} {accum} __satfractdisa (long @var{a})
1913 @deftypefnx {Runtime Function} {long accum} __satfractdida (long @var{a})
1914 @deftypefnx {Runtime Function} {long long accum} __satfractdita (long @var{a})
1915 @deftypefnx {Runtime Function} {unsigned short fract} __satfractdiuqq (long @var{a})
1916 @deftypefnx {Runtime Function} {unsigned fract} __satfractdiuhq (long @var{a})
1917 @deftypefnx {Runtime Function} {unsigned long fract} __satfractdiusq (long @var{a})
1918 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractdiudq (long @var{a})
1919 @deftypefnx {Runtime Function} {unsigned short accum} __satfractdiuha (long @var{a})
1920 @deftypefnx {Runtime Function} {unsigned accum} __satfractdiusa (long @var{a})
1921 @deftypefnx {Runtime Function} {unsigned long accum} __satfractdiuda (long @var{a})
1922 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractdiuta (long @var{a})
1923 @deftypefnx {Runtime Function} {short fract} __satfracttiqq (long long @var{a})
1924 @deftypefnx {Runtime Function} {fract} __satfracttihq (long long @var{a})
1925 @deftypefnx {Runtime Function} {long fract} __satfracttisq (long long @var{a})
1926 @deftypefnx {Runtime Function} {long long fract} __satfracttidq (long long @var{a})
1927 @deftypefnx {Runtime Function} {short accum} __satfracttiha (long long @var{a})
1928 @deftypefnx {Runtime Function} {accum} __satfracttisa (long long @var{a})
1929 @deftypefnx {Runtime Function} {long accum} __satfracttida (long long @var{a})
1930 @deftypefnx {Runtime Function} {long long accum} __satfracttita (long long @var{a})
1931 @deftypefnx {Runtime Function} {unsigned short fract} __satfracttiuqq (long long @var{a})
1932 @deftypefnx {Runtime Function} {unsigned fract} __satfracttiuhq (long long @var{a})
1933 @deftypefnx {Runtime Function} {unsigned long fract} __satfracttiusq (long long @var{a})
1934 @deftypefnx {Runtime Function} {unsigned long long fract} __satfracttiudq (long long @var{a})
1935 @deftypefnx {Runtime Function} {unsigned short accum} __satfracttiuha (long long @var{a})
1936 @deftypefnx {Runtime Function} {unsigned accum} __satfracttiusa (long long @var{a})
1937 @deftypefnx {Runtime Function} {unsigned long accum} __satfracttiuda (long long @var{a})
1938 @deftypefnx {Runtime Function} {unsigned long long accum} __satfracttiuta (long long @var{a})
1939 @deftypefnx {Runtime Function} {short fract} __satfractsfqq (float @var{a})
1940 @deftypefnx {Runtime Function} {fract} __satfractsfhq (float @var{a})
1941 @deftypefnx {Runtime Function} {long fract} __satfractsfsq (float @var{a})
1942 @deftypefnx {Runtime Function} {long long fract} __satfractsfdq (float @var{a})
1943 @deftypefnx {Runtime Function} {short accum} __satfractsfha (float @var{a})
1944 @deftypefnx {Runtime Function} {accum} __satfractsfsa (float @var{a})
1945 @deftypefnx {Runtime Function} {long accum} __satfractsfda (float @var{a})
1946 @deftypefnx {Runtime Function} {long long accum} __satfractsfta (float @var{a})
1947 @deftypefnx {Runtime Function} {unsigned short fract} __satfractsfuqq (float @var{a})
1948 @deftypefnx {Runtime Function} {unsigned fract} __satfractsfuhq (float @var{a})
1949 @deftypefnx {Runtime Function} {unsigned long fract} __satfractsfusq (float @var{a})
1950 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractsfudq (float @var{a})
1951 @deftypefnx {Runtime Function} {unsigned short accum} __satfractsfuha (float @var{a})
1952 @deftypefnx {Runtime Function} {unsigned accum} __satfractsfusa (float @var{a})
1953 @deftypefnx {Runtime Function} {unsigned long accum} __satfractsfuda (float @var{a})
1954 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractsfuta (float @var{a})
1955 @deftypefnx {Runtime Function} {short fract} __satfractdfqq (double @var{a})
1956 @deftypefnx {Runtime Function} {fract} __satfractdfhq (double @var{a})
1957 @deftypefnx {Runtime Function} {long fract} __satfractdfsq (double @var{a})
1958 @deftypefnx {Runtime Function} {long long fract} __satfractdfdq (double @var{a})
1959 @deftypefnx {Runtime Function} {short accum} __satfractdfha (double @var{a})
1960 @deftypefnx {Runtime Function} {accum} __satfractdfsa (double @var{a})
1961 @deftypefnx {Runtime Function} {long accum} __satfractdfda (double @var{a})
1962 @deftypefnx {Runtime Function} {long long accum} __satfractdfta (double @var{a})
1963 @deftypefnx {Runtime Function} {unsigned short fract} __satfractdfuqq (double @var{a})
1964 @deftypefnx {Runtime Function} {unsigned fract} __satfractdfuhq (double @var{a})
1965 @deftypefnx {Runtime Function} {unsigned long fract} __satfractdfusq (double @var{a})
1966 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractdfudq (double @var{a})
1967 @deftypefnx {Runtime Function} {unsigned short accum} __satfractdfuha (double @var{a})
1968 @deftypefnx {Runtime Function} {unsigned accum} __satfractdfusa (double @var{a})
1969 @deftypefnx {Runtime Function} {unsigned long accum} __satfractdfuda (double @var{a})
1970 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractdfuta (double @var{a})
1971 The functions convert from fractional and signed non-fractionals to
1972 fractionals, with saturation.
1973 @end deftypefn
1974
1975 @deftypefn {Runtime Function} {unsigned char} __fractunsqqqi (short fract @var{a})
1976 @deftypefnx {Runtime Function} {unsigned short} __fractunsqqhi (short fract @var{a})
1977 @deftypefnx {Runtime Function} {unsigned int} __fractunsqqsi (short fract @var{a})
1978 @deftypefnx {Runtime Function} {unsigned long} __fractunsqqdi (short fract @var{a})
1979 @deftypefnx {Runtime Function} {unsigned long long} __fractunsqqti (short fract @var{a})
1980 @deftypefnx {Runtime Function} {unsigned char} __fractunshqqi (fract @var{a})
1981 @deftypefnx {Runtime Function} {unsigned short} __fractunshqhi (fract @var{a})
1982 @deftypefnx {Runtime Function} {unsigned int} __fractunshqsi (fract @var{a})
1983 @deftypefnx {Runtime Function} {unsigned long} __fractunshqdi (fract @var{a})
1984 @deftypefnx {Runtime Function} {unsigned long long} __fractunshqti (fract @var{a})
1985 @deftypefnx {Runtime Function} {unsigned char} __fractunssqqi (long fract @var{a})
1986 @deftypefnx {Runtime Function} {unsigned short} __fractunssqhi (long fract @var{a})
1987 @deftypefnx {Runtime Function} {unsigned int} __fractunssqsi (long fract @var{a})
1988 @deftypefnx {Runtime Function} {unsigned long} __fractunssqdi (long fract @var{a})
1989 @deftypefnx {Runtime Function} {unsigned long long} __fractunssqti (long fract @var{a})
1990 @deftypefnx {Runtime Function} {unsigned char} __fractunsdqqi (long long fract @var{a})
1991 @deftypefnx {Runtime Function} {unsigned short} __fractunsdqhi (long long fract @var{a})
1992 @deftypefnx {Runtime Function} {unsigned int} __fractunsdqsi (long long fract @var{a})
1993 @deftypefnx {Runtime Function} {unsigned long} __fractunsdqdi (long long fract @var{a})
1994 @deftypefnx {Runtime Function} {unsigned long long} __fractunsdqti (long long fract @var{a})
1995 @deftypefnx {Runtime Function} {unsigned char} __fractunshaqi (short accum @var{a})
1996 @deftypefnx {Runtime Function} {unsigned short} __fractunshahi (short accum @var{a})
1997 @deftypefnx {Runtime Function} {unsigned int} __fractunshasi (short accum @var{a})
1998 @deftypefnx {Runtime Function} {unsigned long} __fractunshadi (short accum @var{a})
1999 @deftypefnx {Runtime Function} {unsigned long long} __fractunshati (short accum @var{a})
2000 @deftypefnx {Runtime Function} {unsigned char} __fractunssaqi (accum @var{a})
2001 @deftypefnx {Runtime Function} {unsigned short} __fractunssahi (accum @var{a})
2002 @deftypefnx {Runtime Function} {unsigned int} __fractunssasi (accum @var{a})
2003 @deftypefnx {Runtime Function} {unsigned long} __fractunssadi (accum @var{a})
2004 @deftypefnx {Runtime Function} {unsigned long long} __fractunssati (accum @var{a})
2005 @deftypefnx {Runtime Function} {unsigned char} __fractunsdaqi (long accum @var{a})
2006 @deftypefnx {Runtime Function} {unsigned short} __fractunsdahi (long accum @var{a})
2007 @deftypefnx {Runtime Function} {unsigned int} __fractunsdasi (long accum @var{a})
2008 @deftypefnx {Runtime Function} {unsigned long} __fractunsdadi (long accum @var{a})
2009 @deftypefnx {Runtime Function} {unsigned long long} __fractunsdati (long accum @var{a})
2010 @deftypefnx {Runtime Function} {unsigned char} __fractunstaqi (long long accum @var{a})
2011 @deftypefnx {Runtime Function} {unsigned short} __fractunstahi (long long accum @var{a})
2012 @deftypefnx {Runtime Function} {unsigned int} __fractunstasi (long long accum @var{a})
2013 @deftypefnx {Runtime Function} {unsigned long} __fractunstadi (long long accum @var{a})
2014 @deftypefnx {Runtime Function} {unsigned long long} __fractunstati (long long accum @var{a})
2015 @deftypefnx {Runtime Function} {unsigned char} __fractunsuqqqi (unsigned short fract @var{a})
2016 @deftypefnx {Runtime Function} {unsigned short} __fractunsuqqhi (unsigned short fract @var{a})
2017 @deftypefnx {Runtime Function} {unsigned int} __fractunsuqqsi (unsigned short fract @var{a})
2018 @deftypefnx {Runtime Function} {unsigned long} __fractunsuqqdi (unsigned short fract @var{a})
2019 @deftypefnx {Runtime Function} {unsigned long long} __fractunsuqqti (unsigned short fract @var{a})
2020 @deftypefnx {Runtime Function} {unsigned char} __fractunsuhqqi (unsigned fract @var{a})
2021 @deftypefnx {Runtime Function} {unsigned short} __fractunsuhqhi (unsigned fract @var{a})
2022 @deftypefnx {Runtime Function} {unsigned int} __fractunsuhqsi (unsigned fract @var{a})
2023 @deftypefnx {Runtime Function} {unsigned long} __fractunsuhqdi (unsigned fract @var{a})
2024 @deftypefnx {Runtime Function} {unsigned long long} __fractunsuhqti (unsigned fract @var{a})
2025 @deftypefnx {Runtime Function} {unsigned char} __fractunsusqqi (unsigned long fract @var{a})
2026 @deftypefnx {Runtime Function} {unsigned short} __fractunsusqhi (unsigned long fract @var{a})
2027 @deftypefnx {Runtime Function} {unsigned int} __fractunsusqsi (unsigned long fract @var{a})
2028 @deftypefnx {Runtime Function} {unsigned long} __fractunsusqdi (unsigned long fract @var{a})
2029 @deftypefnx {Runtime Function} {unsigned long long} __fractunsusqti (unsigned long fract @var{a})
2030 @deftypefnx {Runtime Function} {unsigned char} __fractunsudqqi (unsigned long long fract @var{a})
2031 @deftypefnx {Runtime Function} {unsigned short} __fractunsudqhi (unsigned long long fract @var{a})
2032 @deftypefnx {Runtime Function} {unsigned int} __fractunsudqsi (unsigned long long fract @var{a})
2033 @deftypefnx {Runtime Function} {unsigned long} __fractunsudqdi (unsigned long long fract @var{a})
2034 @deftypefnx {Runtime Function} {unsigned long long} __fractunsudqti (unsigned long long fract @var{a})
2035 @deftypefnx {Runtime Function} {unsigned char} __fractunsuhaqi (unsigned short accum @var{a})
2036 @deftypefnx {Runtime Function} {unsigned short} __fractunsuhahi (unsigned short accum @var{a})
2037 @deftypefnx {Runtime Function} {unsigned int} __fractunsuhasi (unsigned short accum @var{a})
2038 @deftypefnx {Runtime Function} {unsigned long} __fractunsuhadi (unsigned short accum @var{a})
2039 @deftypefnx {Runtime Function} {unsigned long long} __fractunsuhati (unsigned short accum @var{a})
2040 @deftypefnx {Runtime Function} {unsigned char} __fractunsusaqi (unsigned accum @var{a})
2041 @deftypefnx {Runtime Function} {unsigned short} __fractunsusahi (unsigned accum @var{a})
2042 @deftypefnx {Runtime Function} {unsigned int} __fractunsusasi (unsigned accum @var{a})
2043 @deftypefnx {Runtime Function} {unsigned long} __fractunsusadi (unsigned accum @var{a})
2044 @deftypefnx {Runtime Function} {unsigned long long} __fractunsusati (unsigned accum @var{a})
2045 @deftypefnx {Runtime Function} {unsigned char} __fractunsudaqi (unsigned long accum @var{a})
2046 @deftypefnx {Runtime Function} {unsigned short} __fractunsudahi (unsigned long accum @var{a})
2047 @deftypefnx {Runtime Function} {unsigned int} __fractunsudasi (unsigned long accum @var{a})
2048 @deftypefnx {Runtime Function} {unsigned long} __fractunsudadi (unsigned long accum @var{a})
2049 @deftypefnx {Runtime Function} {unsigned long long} __fractunsudati (unsigned long accum @var{a})
2050 @deftypefnx {Runtime Function} {unsigned char} __fractunsutaqi (unsigned long long accum @var{a})
2051 @deftypefnx {Runtime Function} {unsigned short} __fractunsutahi (unsigned long long accum @var{a})
2052 @deftypefnx {Runtime Function} {unsigned int} __fractunsutasi (unsigned long long accum @var{a})
2053 @deftypefnx {Runtime Function} {unsigned long} __fractunsutadi (unsigned long long accum @var{a})
2054 @deftypefnx {Runtime Function} {unsigned long long} __fractunsutati (unsigned long long accum @var{a})
2055 @deftypefnx {Runtime Function} {short fract} __fractunsqiqq (unsigned char @var{a})
2056 @deftypefnx {Runtime Function} {fract} __fractunsqihq (unsigned char @var{a})
2057 @deftypefnx {Runtime Function} {long fract} __fractunsqisq (unsigned char @var{a})
2058 @deftypefnx {Runtime Function} {long long fract} __fractunsqidq (unsigned char @var{a})
2059 @deftypefnx {Runtime Function} {short accum} __fractunsqiha (unsigned char @var{a})
2060 @deftypefnx {Runtime Function} {accum} __fractunsqisa (unsigned char @var{a})
2061 @deftypefnx {Runtime Function} {long accum} __fractunsqida (unsigned char @var{a})
2062 @deftypefnx {Runtime Function} {long long accum} __fractunsqita (unsigned char @var{a})
2063 @deftypefnx {Runtime Function} {unsigned short fract} __fractunsqiuqq (unsigned char @var{a})
2064 @deftypefnx {Runtime Function} {unsigned fract} __fractunsqiuhq (unsigned char @var{a})
2065 @deftypefnx {Runtime Function} {unsigned long fract} __fractunsqiusq (unsigned char @var{a})
2066 @deftypefnx {Runtime Function} {unsigned long long fract} __fractunsqiudq (unsigned char @var{a})
2067 @deftypefnx {Runtime Function} {unsigned short accum} __fractunsqiuha (unsigned char @var{a})
2068 @deftypefnx {Runtime Function} {unsigned accum} __fractunsqiusa (unsigned char @var{a})
2069 @deftypefnx {Runtime Function} {unsigned long accum} __fractunsqiuda (unsigned char @var{a})
2070 @deftypefnx {Runtime Function} {unsigned long long accum} __fractunsqiuta (unsigned char @var{a})
2071 @deftypefnx {Runtime Function} {short fract} __fractunshiqq (unsigned short @var{a})
2072 @deftypefnx {Runtime Function} {fract} __fractunshihq (unsigned short @var{a})
2073 @deftypefnx {Runtime Function} {long fract} __fractunshisq (unsigned short @var{a})
2074 @deftypefnx {Runtime Function} {long long fract} __fractunshidq (unsigned short @var{a})
2075 @deftypefnx {Runtime Function} {short accum} __fractunshiha (unsigned short @var{a})
2076 @deftypefnx {Runtime Function} {accum} __fractunshisa (unsigned short @var{a})
2077 @deftypefnx {Runtime Function} {long accum} __fractunshida (unsigned short @var{a})
2078 @deftypefnx {Runtime Function} {long long accum} __fractunshita (unsigned short @var{a})
2079 @deftypefnx {Runtime Function} {unsigned short fract} __fractunshiuqq (unsigned short @var{a})
2080 @deftypefnx {Runtime Function} {unsigned fract} __fractunshiuhq (unsigned short @var{a})
2081 @deftypefnx {Runtime Function} {unsigned long fract} __fractunshiusq (unsigned short @var{a})
2082 @deftypefnx {Runtime Function} {unsigned long long fract} __fractunshiudq (unsigned short @var{a})
2083 @deftypefnx {Runtime Function} {unsigned short accum} __fractunshiuha (unsigned short @var{a})
2084 @deftypefnx {Runtime Function} {unsigned accum} __fractunshiusa (unsigned short @var{a})
2085 @deftypefnx {Runtime Function} {unsigned long accum} __fractunshiuda (unsigned short @var{a})
2086 @deftypefnx {Runtime Function} {unsigned long long accum} __fractunshiuta (unsigned short @var{a})
2087 @deftypefnx {Runtime Function} {short fract} __fractunssiqq (unsigned int @var{a})
2088 @deftypefnx {Runtime Function} {fract} __fractunssihq (unsigned int @var{a})
2089 @deftypefnx {Runtime Function} {long fract} __fractunssisq (unsigned int @var{a})
2090 @deftypefnx {Runtime Function} {long long fract} __fractunssidq (unsigned int @var{a})
2091 @deftypefnx {Runtime Function} {short accum} __fractunssiha (unsigned int @var{a})
2092 @deftypefnx {Runtime Function} {accum} __fractunssisa (unsigned int @var{a})
2093 @deftypefnx {Runtime Function} {long accum} __fractunssida (unsigned int @var{a})
2094 @deftypefnx {Runtime Function} {long long accum} __fractunssita (unsigned int @var{a})
2095 @deftypefnx {Runtime Function} {unsigned short fract} __fractunssiuqq (unsigned int @var{a})
2096 @deftypefnx {Runtime Function} {unsigned fract} __fractunssiuhq (unsigned int @var{a})
2097 @deftypefnx {Runtime Function} {unsigned long fract} __fractunssiusq (unsigned int @var{a})
2098 @deftypefnx {Runtime Function} {unsigned long long fract} __fractunssiudq (unsigned int @var{a})
2099 @deftypefnx {Runtime Function} {unsigned short accum} __fractunssiuha (unsigned int @var{a})
2100 @deftypefnx {Runtime Function} {unsigned accum} __fractunssiusa (unsigned int @var{a})
2101 @deftypefnx {Runtime Function} {unsigned long accum} __fractunssiuda (unsigned int @var{a})
2102 @deftypefnx {Runtime Function} {unsigned long long accum} __fractunssiuta (unsigned int @var{a})
2103 @deftypefnx {Runtime Function} {short fract} __fractunsdiqq (unsigned long @var{a})
2104 @deftypefnx {Runtime Function} {fract} __fractunsdihq (unsigned long @var{a})
2105 @deftypefnx {Runtime Function} {long fract} __fractunsdisq (unsigned long @var{a})
2106 @deftypefnx {Runtime Function} {long long fract} __fractunsdidq (unsigned long @var{a})
2107 @deftypefnx {Runtime Function} {short accum} __fractunsdiha (unsigned long @var{a})
2108 @deftypefnx {Runtime Function} {accum} __fractunsdisa (unsigned long @var{a})
2109 @deftypefnx {Runtime Function} {long accum} __fractunsdida (unsigned long @var{a})
2110 @deftypefnx {Runtime Function} {long long accum} __fractunsdita (unsigned long @var{a})
2111 @deftypefnx {Runtime Function} {unsigned short fract} __fractunsdiuqq (unsigned long @var{a})
2112 @deftypefnx {Runtime Function} {unsigned fract} __fractunsdiuhq (unsigned long @var{a})
2113 @deftypefnx {Runtime Function} {unsigned long fract} __fractunsdiusq (unsigned long @var{a})
2114 @deftypefnx {Runtime Function} {unsigned long long fract} __fractunsdiudq (unsigned long @var{a})
2115 @deftypefnx {Runtime Function} {unsigned short accum} __fractunsdiuha (unsigned long @var{a})
2116 @deftypefnx {Runtime Function} {unsigned accum} __fractunsdiusa (unsigned long @var{a})
2117 @deftypefnx {Runtime Function} {unsigned long accum} __fractunsdiuda (unsigned long @var{a})
2118 @deftypefnx {Runtime Function} {unsigned long long accum} __fractunsdiuta (unsigned long @var{a})
2119 @deftypefnx {Runtime Function} {short fract} __fractunstiqq (unsigned long long @var{a})
2120 @deftypefnx {Runtime Function} {fract} __fractunstihq (unsigned long long @var{a})
2121 @deftypefnx {Runtime Function} {long fract} __fractunstisq (unsigned long long @var{a})
2122 @deftypefnx {Runtime Function} {long long fract} __fractunstidq (unsigned long long @var{a})
2123 @deftypefnx {Runtime Function} {short accum} __fractunstiha (unsigned long long @var{a})
2124 @deftypefnx {Runtime Function} {accum} __fractunstisa (unsigned long long @var{a})
2125 @deftypefnx {Runtime Function} {long accum} __fractunstida (unsigned long long @var{a})
2126 @deftypefnx {Runtime Function} {long long accum} __fractunstita (unsigned long long @var{a})
2127 @deftypefnx {Runtime Function} {unsigned short fract} __fractunstiuqq (unsigned long long @var{a})
2128 @deftypefnx {Runtime Function} {unsigned fract} __fractunstiuhq (unsigned long long @var{a})
2129 @deftypefnx {Runtime Function} {unsigned long fract} __fractunstiusq (unsigned long long @var{a})
2130 @deftypefnx {Runtime Function} {unsigned long long fract} __fractunstiudq (unsigned long long @var{a})
2131 @deftypefnx {Runtime Function} {unsigned short accum} __fractunstiuha (unsigned long long @var{a})
2132 @deftypefnx {Runtime Function} {unsigned accum} __fractunstiusa (unsigned long long @var{a})
2133 @deftypefnx {Runtime Function} {unsigned long accum} __fractunstiuda (unsigned long long @var{a})
2134 @deftypefnx {Runtime Function} {unsigned long long accum} __fractunstiuta (unsigned long long @var{a})
2135 These functions convert from fractionals to unsigned non-fractionals;
2136 and from unsigned non-fractionals to fractionals, without saturation.
2137 @end deftypefn
2138
2139 @deftypefn {Runtime Function} {short fract} __satfractunsqiqq (unsigned char @var{a})
2140 @deftypefnx {Runtime Function} {fract} __satfractunsqihq (unsigned char @var{a})
2141 @deftypefnx {Runtime Function} {long fract} __satfractunsqisq (unsigned char @var{a})
2142 @deftypefnx {Runtime Function} {long long fract} __satfractunsqidq (unsigned char @var{a})
2143 @deftypefnx {Runtime Function} {short accum} __satfractunsqiha (unsigned char @var{a})
2144 @deftypefnx {Runtime Function} {accum} __satfractunsqisa (unsigned char @var{a})
2145 @deftypefnx {Runtime Function} {long accum} __satfractunsqida (unsigned char @var{a})
2146 @deftypefnx {Runtime Function} {long long accum} __satfractunsqita (unsigned char @var{a})
2147 @deftypefnx {Runtime Function} {unsigned short fract} __satfractunsqiuqq (unsigned char @var{a})
2148 @deftypefnx {Runtime Function} {unsigned fract} __satfractunsqiuhq (unsigned char @var{a})
2149 @deftypefnx {Runtime Function} {unsigned long fract} __satfractunsqiusq (unsigned char @var{a})
2150 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractunsqiudq (unsigned char @var{a})
2151 @deftypefnx {Runtime Function} {unsigned short accum} __satfractunsqiuha (unsigned char @var{a})
2152 @deftypefnx {Runtime Function} {unsigned accum} __satfractunsqiusa (unsigned char @var{a})
2153 @deftypefnx {Runtime Function} {unsigned long accum} __satfractunsqiuda (unsigned char @var{a})
2154 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractunsqiuta (unsigned char @var{a})
2155 @deftypefnx {Runtime Function} {short fract} __satfractunshiqq (unsigned short @var{a})
2156 @deftypefnx {Runtime Function} {fract} __satfractunshihq (unsigned short @var{a})
2157 @deftypefnx {Runtime Function} {long fract} __satfractunshisq (unsigned short @var{a})
2158 @deftypefnx {Runtime Function} {long long fract} __satfractunshidq (unsigned short @var{a})
2159 @deftypefnx {Runtime Function} {short accum} __satfractunshiha (unsigned short @var{a})
2160 @deftypefnx {Runtime Function} {accum} __satfractunshisa (unsigned short @var{a})
2161 @deftypefnx {Runtime Function} {long accum} __satfractunshida (unsigned short @var{a})
2162 @deftypefnx {Runtime Function} {long long accum} __satfractunshita (unsigned short @var{a})
2163 @deftypefnx {Runtime Function} {unsigned short fract} __satfractunshiuqq (unsigned short @var{a})
2164 @deftypefnx {Runtime Function} {unsigned fract} __satfractunshiuhq (unsigned short @var{a})
2165 @deftypefnx {Runtime Function} {unsigned long fract} __satfractunshiusq (unsigned short @var{a})
2166 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractunshiudq (unsigned short @var{a})
2167 @deftypefnx {Runtime Function} {unsigned short accum} __satfractunshiuha (unsigned short @var{a})
2168 @deftypefnx {Runtime Function} {unsigned accum} __satfractunshiusa (unsigned short @var{a})
2169 @deftypefnx {Runtime Function} {unsigned long accum} __satfractunshiuda (unsigned short @var{a})
2170 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractunshiuta (unsigned short @var{a})
2171 @deftypefnx {Runtime Function} {short fract} __satfractunssiqq (unsigned int @var{a})
2172 @deftypefnx {Runtime Function} {fract} __satfractunssihq (unsigned int @var{a})
2173 @deftypefnx {Runtime Function} {long fract} __satfractunssisq (unsigned int @var{a})
2174 @deftypefnx {Runtime Function} {long long fract} __satfractunssidq (unsigned int @var{a})
2175 @deftypefnx {Runtime Function} {short accum} __satfractunssiha (unsigned int @var{a})
2176 @deftypefnx {Runtime Function} {accum} __satfractunssisa (unsigned int @var{a})
2177 @deftypefnx {Runtime Function} {long accum} __satfractunssida (unsigned int @var{a})
2178 @deftypefnx {Runtime Function} {long long accum} __satfractunssita (unsigned int @var{a})
2179 @deftypefnx {Runtime Function} {unsigned short fract} __satfractunssiuqq (unsigned int @var{a})
2180 @deftypefnx {Runtime Function} {unsigned fract} __satfractunssiuhq (unsigned int @var{a})
2181 @deftypefnx {Runtime Function} {unsigned long fract} __satfractunssiusq (unsigned int @var{a})
2182 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractunssiudq (unsigned int @var{a})
2183 @deftypefnx {Runtime Function} {unsigned short accum} __satfractunssiuha (unsigned int @var{a})
2184 @deftypefnx {Runtime Function} {unsigned accum} __satfractunssiusa (unsigned int @var{a})
2185 @deftypefnx {Runtime Function} {unsigned long accum} __satfractunssiuda (unsigned int @var{a})
2186 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractunssiuta (unsigned int @var{a})
2187 @deftypefnx {Runtime Function} {short fract} __satfractunsdiqq (unsigned long @var{a})
2188 @deftypefnx {Runtime Function} {fract} __satfractunsdihq (unsigned long @var{a})
2189 @deftypefnx {Runtime Function} {long fract} __satfractunsdisq (unsigned long @var{a})
2190 @deftypefnx {Runtime Function} {long long fract} __satfractunsdidq (unsigned long @var{a})
2191 @deftypefnx {Runtime Function} {short accum} __satfractunsdiha (unsigned long @var{a})
2192 @deftypefnx {Runtime Function} {accum} __satfractunsdisa (unsigned long @var{a})
2193 @deftypefnx {Runtime Function} {long accum} __satfractunsdida (unsigned long @var{a})
2194 @deftypefnx {Runtime Function} {long long accum} __satfractunsdita (unsigned long @var{a})
2195 @deftypefnx {Runtime Function} {unsigned short fract} __satfractunsdiuqq (unsigned long @var{a})
2196 @deftypefnx {Runtime Function} {unsigned fract} __satfractunsdiuhq (unsigned long @var{a})
2197 @deftypefnx {Runtime Function} {unsigned long fract} __satfractunsdiusq (unsigned long @var{a})
2198 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractunsdiudq (unsigned long @var{a})
2199 @deftypefnx {Runtime Function} {unsigned short accum} __satfractunsdiuha (unsigned long @var{a})
2200 @deftypefnx {Runtime Function} {unsigned accum} __satfractunsdiusa (unsigned long @var{a})
2201 @deftypefnx {Runtime Function} {unsigned long accum} __satfractunsdiuda (unsigned long @var{a})
2202 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractunsdiuta (unsigned long @var{a})
2203 @deftypefnx {Runtime Function} {short fract} __satfractunstiqq (unsigned long long @var{a})
2204 @deftypefnx {Runtime Function} {fract} __satfractunstihq (unsigned long long @var{a})
2205 @deftypefnx {Runtime Function} {long fract} __satfractunstisq (unsigned long long @var{a})
2206 @deftypefnx {Runtime Function} {long long fract} __satfractunstidq (unsigned long long @var{a})
2207 @deftypefnx {Runtime Function} {short accum} __satfractunstiha (unsigned long long @var{a})
2208 @deftypefnx {Runtime Function} {accum} __satfractunstisa (unsigned long long @var{a})
2209 @deftypefnx {Runtime Function} {long accum} __satfractunstida (unsigned long long @var{a})
2210 @deftypefnx {Runtime Function} {long long accum} __satfractunstita (unsigned long long @var{a})
2211 @deftypefnx {Runtime Function} {unsigned short fract} __satfractunstiuqq (unsigned long long @var{a})
2212 @deftypefnx {Runtime Function} {unsigned fract} __satfractunstiuhq (unsigned long long @var{a})
2213 @deftypefnx {Runtime Function} {unsigned long fract} __satfractunstiusq (unsigned long long @var{a})
2214 @deftypefnx {Runtime Function} {unsigned long long fract} __satfractunstiudq (unsigned long long @var{a})
2215 @deftypefnx {Runtime Function} {unsigned short accum} __satfractunstiuha (unsigned long long @var{a})
2216 @deftypefnx {Runtime Function} {unsigned accum} __satfractunstiusa (unsigned long long @var{a})
2217 @deftypefnx {Runtime Function} {unsigned long accum} __satfractunstiuda (unsigned long long @var{a})
2218 @deftypefnx {Runtime Function} {unsigned long long accum} __satfractunstiuta (unsigned long long @var{a})
2219 These functions convert from unsigned non-fractionals to fractionals,
2220 with saturation.
2221 @end deftypefn
2222
2223 @node Exception handling routines
2224 @section Language-independent routines for exception handling
2225
2226 document me!
2227
2228 @smallexample
2229   _Unwind_DeleteException
2230   _Unwind_Find_FDE
2231   _Unwind_ForcedUnwind
2232   _Unwind_GetGR
2233   _Unwind_GetIP
2234   _Unwind_GetLanguageSpecificData
2235   _Unwind_GetRegionStart
2236   _Unwind_GetTextRelBase
2237   _Unwind_GetDataRelBase
2238   _Unwind_RaiseException
2239   _Unwind_Resume
2240   _Unwind_SetGR
2241   _Unwind_SetIP
2242   _Unwind_FindEnclosingFunction
2243   _Unwind_SjLj_Register
2244   _Unwind_SjLj_Unregister
2245   _Unwind_SjLj_RaiseException
2246   _Unwind_SjLj_ForcedUnwind
2247   _Unwind_SjLj_Resume
2248   __deregister_frame
2249   __deregister_frame_info
2250   __deregister_frame_info_bases
2251   __register_frame
2252   __register_frame_info
2253   __register_frame_info_bases
2254   __register_frame_info_table
2255   __register_frame_info_table_bases
2256   __register_frame_table
2257 @end smallexample
2258
2259 @node Miscellaneous routines
2260 @section Miscellaneous runtime library routines
2261
2262 @subsection Cache control functions
2263 @deftypefn {Runtime Function} void __clear_cache (char *@var{beg}, char *@var{end})
2264 This function clears the instruction cache between @var{beg} and @var{end}.
2265 @end deftypefn
2266
2267 @subsection Split stack functions and variables
2268 @deftypefn {Runtime Function} {void *} __splitstack_find (void *@var{segment_arg}, @
2269 void *@var{sp}, size_t @var{len}, void **@var{next_segment}, @
2270 void **@var{next_sp}, void **@var{initial_sp})
2271 When using @option{-fsplit-stack}, this call may be used to iterate
2272 over the stack segments.  It may be called like this:
2273 @smallexample
2274   void *next_segment = NULL;
2275   void *next_sp = NULL;
2276   void *initial_sp = NULL;
2277   void *stack;
2278   size_t stack_size;
2279   while ((stack = __splitstack_find (next_segment, next_sp,
2280                                      &stack_size, &next_segment,
2281                                      &next_sp, &initial_sp))
2282          != NULL)
2283     @{
2284       /* Stack segment starts at stack and is
2285          stack_size bytes long.  */
2286     @}
2287 @end smallexample
2288
2289 There is no way to iterate over the stack segments of a different
2290 thread.  However, what is permitted is for one thread to call this
2291 with the @var{segment_arg} and @var{sp} arguments NULL, to pass
2292 @var{next_segment}, @var{next_sp}, and @var{initial_sp} to a different
2293 thread, and then to suspend one way or another.  A different thread
2294 may run the subsequent @code{__splitstack_find} iterations.  Of
2295 course, this will only work if the first thread is suspended while the
2296 second thread is calling @code{__splitstack_find}.  If not, the second
2297 thread could be looking at the stack while it is changing, and
2298 anything could happen.
2299 @end deftypefn
2300
2301 @defvar __morestack_segments
2302 @defvarx __morestack_current_segment
2303 @defvarx __morestack_initial_sp
2304 Internal variables used by the @option{-fsplit-stack} implementation.
2305 @end defvar