gcc/doc/libgcc.texi

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