xref: /dragonfly/contrib/gcc-4.7/gcc/doc/libgcc.texi (revision 0db87cb7) 
1@c Copyright (C) 2003, 2004, 2005, 2006, 2007, 2010
2@c Free Software Foundation, Inc.
3@c This is part of the GCC manual.
4@c For copying conditions, see the file gcc.texi.
5@c Contributed by Aldy Hernandez <aldy@quesejoda.com>
6
7@node Libgcc
8@chapter The GCC low-level runtime library
9
10GCC provides a low-level runtime library, @file{libgcc.a} or
11@file{libgcc_s.so.1} on some platforms.  GCC generates calls to
12routines in this library automatically, whenever it needs to perform
13some operation that is too complicated to emit inline code for.
14
15Most of the routines in @code{libgcc} handle arithmetic operations
16that the target processor cannot perform directly.  This includes
17integer multiply and divide on some machines, and all floating-point
18and fixed-point operations on other machines.  @code{libgcc} also includes
19routines for exception handling, and a handful of miscellaneous operations.
20
21Some of these routines can be defined in mostly machine-independent C@.
22Others must be hand-written in assembly language for each processor
23that needs them.
24
25GCC will also generate calls to C library routines, such as
26@code{memcpy} and @code{memset}, in some cases.  The set of routines
27that GCC may possibly use is documented in @ref{Other
28Builtins,,,gcc, Using the GNU Compiler Collection (GCC)}.
29
30These routines take arguments and return values of a specific machine
31mode, not a specific C type.  @xref{Machine Modes}, for an explanation
32of this concept.  For illustrative purposes, in this chapter the
33floating point type @code{float} is assumed to correspond to @code{SFmode};
34@code{double} to @code{DFmode}; and @code{@w{long double}} to both
35@code{TFmode} and @code{XFmode}.  Similarly, the integer types @code{int}
36and @code{@w{unsigned int}} correspond to @code{SImode}; @code{long} and
37@code{@w{unsigned long}} to @code{DImode}; and @code{@w{long long}} and
38@code{@w{unsigned long long}} to @code{TImode}.
39
40@menu
41* Integer library routines::
42* Soft float library routines::
43* Decimal float library routines::
44* Fixed-point fractional library routines::
45* Exception handling routines::
46* Miscellaneous routines::
47@end menu
48
49@node Integer library routines
50@section Routines for integer arithmetic
51
52The integer arithmetic routines are used on platforms that don't provide
53hardware support for arithmetic operations on some modes.
54
55@subsection Arithmetic functions
56
57@deftypefn {Runtime Function} int __ashlsi3 (int @var{a}, int @var{b})
58@deftypefnx {Runtime Function} long __ashldi3 (long @var{a}, int @var{b})
59@deftypefnx {Runtime Function} {long long} __ashlti3 (long long @var{a}, int @var{b})
60These functions return the result of shifting @var{a} left by @var{b} bits.
61@end deftypefn
62
63@deftypefn {Runtime Function} int __ashrsi3 (int @var{a}, int @var{b})
64@deftypefnx {Runtime Function} long __ashrdi3 (long @var{a}, int @var{b})
65@deftypefnx {Runtime Function} {long long} __ashrti3 (long long @var{a}, int @var{b})
66These functions return the result of arithmetically shifting @var{a} right
67by @var{b} bits.
68@end deftypefn
69
70@deftypefn {Runtime Function} int __divsi3 (int @var{a}, int @var{b})
71@deftypefnx {Runtime Function} long __divdi3 (long @var{a}, long @var{b})
72@deftypefnx {Runtime Function} {long long} __divti3 (long long @var{a}, long long @var{b})
73These functions return the quotient of the signed division of @var{a} and
74@var{b}.
75@end deftypefn
76
77@deftypefn {Runtime Function} int __lshrsi3 (int @var{a}, int @var{b})
78@deftypefnx {Runtime Function} long __lshrdi3 (long @var{a}, int @var{b})
79@deftypefnx {Runtime Function} {long long} __lshrti3 (long long @var{a}, int @var{b})
80These functions return the result of logically shifting @var{a} right by
81@var{b} bits.
82@end deftypefn
83
84@deftypefn {Runtime Function} int __modsi3 (int @var{a}, int @var{b})
85@deftypefnx {Runtime Function} long __moddi3 (long @var{a}, long @var{b})
86@deftypefnx {Runtime Function} {long long} __modti3 (long long @var{a}, long long @var{b})
87These functions return the remainder of the signed division of @var{a}
88and @var{b}.
89@end deftypefn
90
91@deftypefn {Runtime Function} int __mulsi3 (int @var{a}, int @var{b})
92@deftypefnx {Runtime Function} long __muldi3 (long @var{a}, long @var{b})
93@deftypefnx {Runtime Function} {long long} __multi3 (long long @var{a}, long long @var{b})
94These functions return the product of @var{a} and @var{b}.
95@end deftypefn
96
97@deftypefn {Runtime Function} long __negdi2 (long @var{a})
98@deftypefnx {Runtime Function} {long long} __negti2 (long long @var{a})
99These functions return the negation of @var{a}.
100@end deftypefn
101
102@deftypefn {Runtime Function} {unsigned int} __udivsi3 (unsigned int @var{a}, unsigned int @var{b})
103@deftypefnx {Runtime Function} {unsigned long} __udivdi3 (unsigned long @var{a}, unsigned long @var{b})
104@deftypefnx {Runtime Function} {unsigned long long} __udivti3 (unsigned long long @var{a}, unsigned long long @var{b})
105These functions return the quotient of the unsigned division of @var{a}
106and @var{b}.
107@end deftypefn
108
109@deftypefn {Runtime Function} {unsigned long} __udivmoddi4 (unsigned long @var{a}, unsigned long @var{b}, unsigned long *@var{c})
110@deftypefnx {Runtime Function} {unsigned long long} __udivmodti4 (unsigned long long @var{a}, unsigned long long @var{b}, unsigned long long *@var{c})
111These functions calculate both the quotient and remainder of the unsigned
112division of @var{a} and @var{b}.  The return value is the quotient, and
113the remainder is placed in variable pointed to by @var{c}.
114@end deftypefn
115
116@deftypefn {Runtime Function} {unsigned int} __umodsi3 (unsigned int @var{a}, unsigned int @var{b})
117@deftypefnx {Runtime Function} {unsigned long} __umoddi3 (unsigned long @var{a}, unsigned long @var{b})
118@deftypefnx {Runtime Function} {unsigned long long} __umodti3 (unsigned long long @var{a}, unsigned long long @var{b})
119These functions return the remainder of the unsigned division of @var{a}
120and @var{b}.
121@end deftypefn
122
123@subsection Comparison functions
124
125The following functions implement integral comparisons.  These functions
126implement a low-level compare, upon which the higher level comparison
127operators (such as less than and greater than or equal to) can be
128constructed.  The returned values lie in the range zero to two, to allow
129the high-level operators to be implemented by testing the returned
130result using either signed or unsigned comparison.
131
132@deftypefn {Runtime Function} int __cmpdi2 (long @var{a}, long @var{b})
133@deftypefnx {Runtime Function} int __cmpti2 (long long @var{a}, long long @var{b})
134These functions perform a signed comparison of @var{a} and @var{b}.  If
135@var{a} is less than @var{b}, they return 0; if @var{a} is greater than
136@var{b}, they return 2; and if @var{a} and @var{b} are equal they return 1.
137@end deftypefn
138
139@deftypefn {Runtime Function} int __ucmpdi2 (unsigned long @var{a}, unsigned long @var{b})
140@deftypefnx {Runtime Function} int __ucmpti2 (unsigned long long @var{a}, unsigned long long @var{b})
141These functions perform an unsigned comparison of @var{a} and @var{b}.
142If @var{a} is less than @var{b}, they return 0; if @var{a} is greater than
143@var{b}, they return 2; and if @var{a} and @var{b} are equal they return 1.
144@end deftypefn
145
146@subsection Trapping arithmetic functions
147
148The following functions implement trapping arithmetic.  These functions
149call the libc function @code{abort} upon signed arithmetic overflow.
150
151@deftypefn {Runtime Function} int __absvsi2 (int @var{a})
152@deftypefnx {Runtime Function} long __absvdi2 (long @var{a})
153These functions return the absolute value of @var{a}.
154@end deftypefn
155
156@deftypefn {Runtime Function} int __addvsi3 (int @var{a}, int @var{b})
157@deftypefnx {Runtime Function} long __addvdi3 (long @var{a}, long @var{b})
158These functions return the sum of @var{a} and @var{b}; that is
159@code{@var{a} + @var{b}}.
160@end deftypefn
161
162@deftypefn {Runtime Function} int __mulvsi3 (int @var{a}, int @var{b})
163@deftypefnx {Runtime Function} long __mulvdi3 (long @var{a}, long @var{b})
164The functions return the product of @var{a} and @var{b}; that is
165@code{@var{a} * @var{b}}.
166@end deftypefn
167
168@deftypefn {Runtime Function} int __negvsi2 (int @var{a})
169@deftypefnx {Runtime Function} long __negvdi2 (long @var{a})
170These functions return the negation of @var{a}; that is @code{-@var{a}}.
171@end deftypefn
172
173@deftypefn {Runtime Function} int __subvsi3 (int @var{a}, int @var{b})
174@deftypefnx {Runtime Function} long __subvdi3 (long @var{a}, long @var{b})
175These functions return the difference between @var{b} and @var{a};
176that is @code{@var{a} - @var{b}}.
177@end deftypefn
178
179@subsection Bit operations
180
181@deftypefn {Runtime Function} int __clzsi2 (int @var{a})
182@deftypefnx {Runtime Function} int __clzdi2 (long @var{a})
183@deftypefnx {Runtime Function} int __clzti2 (long long @var{a})
184These functions return the number of leading 0-bits in @var{a}, starting
185at the most significant bit position.  If @var{a} is zero, the result is
186undefined.
187@end deftypefn
188
189@deftypefn {Runtime Function} int __ctzsi2 (int @var{a})
190@deftypefnx {Runtime Function} int __ctzdi2 (long @var{a})
191@deftypefnx {Runtime Function} int __ctzti2 (long long @var{a})
192These functions return the number of trailing 0-bits in @var{a}, starting
193at the least significant bit position.  If @var{a} is zero, the result is
194undefined.
195@end deftypefn
196
197@deftypefn {Runtime Function} int __ffsdi2 (long @var{a})
198@deftypefnx {Runtime Function} int __ffsti2 (long long @var{a})
199These functions return the index of the least significant 1-bit in @var{a},
200or the value zero if @var{a} is zero.  The least significant bit is index
201one.
202@end deftypefn
203
204@deftypefn {Runtime Function} int __paritysi2 (int @var{a})
205@deftypefnx {Runtime Function} int __paritydi2 (long @var{a})
206@deftypefnx {Runtime Function} int __parityti2 (long long @var{a})
207These functions return the value zero if the number of bits set in
208@var{a} is even, and the value one otherwise.
209@end deftypefn
210
211@deftypefn {Runtime Function} int __popcountsi2 (int @var{a})
212@deftypefnx {Runtime Function} int __popcountdi2 (long @var{a})
213@deftypefnx {Runtime Function} int __popcountti2 (long long @var{a})
214These functions return the number of bits set in @var{a}.
215@end deftypefn
216
217@deftypefn {Runtime Function} int32_t __bswapsi2 (int32_t @var{a})
218@deftypefnx {Runtime Function} int64_t __bswapdi2 (int64_t @var{a})
219These functions return the @var{a} byteswapped.
220@end deftypefn
221
222@node Soft float library routines
223@section Routines for floating point emulation
224@cindex soft float library
225@cindex arithmetic library
226@cindex math library
227@opindex msoft-float
228
229The software floating point library is used on machines which do not
230have hardware support for floating point.  It is also used whenever
231@option{-msoft-float} is used to disable generation of floating point
232instructions.  (Not all targets support this switch.)
233
234For compatibility with other compilers, the floating point emulation
235routines can be renamed with the @code{DECLARE_LIBRARY_RENAMES} macro
236(@pxref{Library Calls}).  In this section, the default names are used.
237
238Presently the library does not support @code{XFmode}, which is used
239for @code{long double} on some architectures.
240
241@subsection Arithmetic functions
242
243@deftypefn {Runtime Function} float __addsf3 (float @var{a}, float @var{b})
244@deftypefnx {Runtime Function} double __adddf3 (double @var{a}, double @var{b})
245@deftypefnx {Runtime Function} {long double} __addtf3 (long double @var{a}, long double @var{b})
246@deftypefnx {Runtime Function} {long double} __addxf3 (long double @var{a}, long double @var{b})
247These functions return the sum of @var{a} and @var{b}.
248@end deftypefn
249
250@deftypefn {Runtime Function} float __subsf3 (float @var{a}, float @var{b})
251@deftypefnx {Runtime Function} double __subdf3 (double @var{a}, double @var{b})
252@deftypefnx {Runtime Function} {long double} __subtf3 (long double @var{a}, long double @var{b})
253@deftypefnx {Runtime Function} {long double} __subxf3 (long double @var{a}, long double @var{b})
254These functions return the difference between @var{b} and @var{a};
255that is, @w{@math{@var{a} - @var{b}}}.
256@end deftypefn
257
258@deftypefn {Runtime Function} float __mulsf3 (float @var{a}, float @var{b})
259@deftypefnx {Runtime Function} double __muldf3 (double @var{a}, double @var{b})
260@deftypefnx {Runtime Function} {long double} __multf3 (long double @var{a}, long double @var{b})
261@deftypefnx {Runtime Function} {long double} __mulxf3 (long double @var{a}, long double @var{b})
262These functions return the product of @var{a} and @var{b}.
263@end deftypefn
264
265@deftypefn {Runtime Function} float __divsf3 (float @var{a}, float @var{b})
266@deftypefnx {Runtime Function} double __divdf3 (double @var{a}, double @var{b})
267@deftypefnx {Runtime Function} {long double} __divtf3 (long double @var{a}, long double @var{b})
268@deftypefnx {Runtime Function} {long double} __divxf3 (long double @var{a}, long double @var{b})
269These functions return the quotient of @var{a} and @var{b}; that is,
270@w{@math{@var{a} / @var{b}}}.
271@end deftypefn
272
273@deftypefn {Runtime Function} float __negsf2 (float @var{a})
274@deftypefnx {Runtime Function} double __negdf2 (double @var{a})
275@deftypefnx {Runtime Function} {long double} __negtf2 (long double @var{a})
276@deftypefnx {Runtime Function} {long double} __negxf2 (long double @var{a})
277These functions return the negation of @var{a}.  They simply flip the
278sign bit, so they can produce negative zero and negative NaN@.
279@end deftypefn
280
281@subsection Conversion functions
282
283@deftypefn {Runtime Function} double __extendsfdf2 (float @var{a})
284@deftypefnx {Runtime Function} {long double} __extendsftf2 (float @var{a})
285@deftypefnx {Runtime Function} {long double} __extendsfxf2 (float @var{a})
286@deftypefnx {Runtime Function} {long double} __extenddftf2 (double @var{a})
287@deftypefnx {Runtime Function} {long double} __extenddfxf2 (double @var{a})
288These functions extend @var{a} to the wider mode of their return
289type.
290@end deftypefn
291
292@deftypefn {Runtime Function} double __truncxfdf2 (long double @var{a})
293@deftypefnx {Runtime Function} double __trunctfdf2 (long double @var{a})
294@deftypefnx {Runtime Function} float __truncxfsf2 (long double @var{a})
295@deftypefnx {Runtime Function} float __trunctfsf2 (long double @var{a})
296@deftypefnx {Runtime Function} float __truncdfsf2 (double @var{a})
297These functions truncate @var{a} to the narrower mode of their return
298type, rounding toward zero.
299@end deftypefn
300
301@deftypefn {Runtime Function} int __fixsfsi (float @var{a})
302@deftypefnx {Runtime Function} int __fixdfsi (double @var{a})
303@deftypefnx {Runtime Function} int __fixtfsi (long double @var{a})
304@deftypefnx {Runtime Function} int __fixxfsi (long double @var{a})
305These functions convert @var{a} to a signed integer, rounding toward zero.
306@end deftypefn
307
308@deftypefn {Runtime Function} long __fixsfdi (float @var{a})
309@deftypefnx {Runtime Function} long __fixdfdi (double @var{a})
310@deftypefnx {Runtime Function} long __fixtfdi (long double @var{a})
311@deftypefnx {Runtime Function} long __fixxfdi (long double @var{a})
312These functions convert @var{a} to a signed long, rounding toward zero.
313@end deftypefn
314
315@deftypefn {Runtime Function} {long long} __fixsfti (float @var{a})
316@deftypefnx {Runtime Function} {long long} __fixdfti (double @var{a})
317@deftypefnx {Runtime Function} {long long} __fixtfti (long double @var{a})
318@deftypefnx {Runtime Function} {long long} __fixxfti (long double @var{a})
319These functions convert @var{a} to a signed long long, rounding toward zero.
320@end deftypefn
321
322@deftypefn {Runtime Function} {unsigned int} __fixunssfsi (float @var{a})
323@deftypefnx {Runtime Function} {unsigned int} __fixunsdfsi (double @var{a})
324@deftypefnx {Runtime Function} {unsigned int} __fixunstfsi (long double @var{a})
325@deftypefnx {Runtime Function} {unsigned int} __fixunsxfsi (long double @var{a})
326These functions convert @var{a} to an unsigned integer, rounding
327toward zero.  Negative values all become zero.
328@end deftypefn
329
330@deftypefn {Runtime Function} {unsigned long} __fixunssfdi (float @var{a})
331@deftypefnx {Runtime Function} {unsigned long} __fixunsdfdi (double @var{a})
332@deftypefnx {Runtime Function} {unsigned long} __fixunstfdi (long double @var{a})
333@deftypefnx {Runtime Function} {unsigned long} __fixunsxfdi (long double @var{a})
334These functions convert @var{a} to an unsigned long, rounding
335toward zero.  Negative values all become zero.
336@end deftypefn
337
338@deftypefn {Runtime Function} {unsigned long long} __fixunssfti (float @var{a})
339@deftypefnx {Runtime Function} {unsigned long long} __fixunsdfti (double @var{a})
340@deftypefnx {Runtime Function} {unsigned long long} __fixunstfti (long double @var{a})
341@deftypefnx {Runtime Function} {unsigned long long} __fixunsxfti (long double @var{a})
342These functions convert @var{a} to an unsigned long long, rounding
343toward zero.  Negative values all become zero.
344@end deftypefn
345
346@deftypefn {Runtime Function} float __floatsisf (int @var{i})
347@deftypefnx {Runtime Function} double __floatsidf (int @var{i})
348@deftypefnx {Runtime Function} {long double} __floatsitf (int @var{i})
349@deftypefnx {Runtime Function} {long double} __floatsixf (int @var{i})
350These functions convert @var{i}, a signed integer, to floating point.
351@end deftypefn
352
353@deftypefn {Runtime Function} float __floatdisf (long @var{i})
354@deftypefnx {Runtime Function} double __floatdidf (long @var{i})
355@deftypefnx {Runtime Function} {long double} __floatditf (long @var{i})
356@deftypefnx {Runtime Function} {long double} __floatdixf (long @var{i})
357These functions convert @var{i}, a signed long, to floating point.
358@end deftypefn
359
360@deftypefn {Runtime Function} float __floattisf (long long @var{i})
361@deftypefnx {Runtime Function} double __floattidf (long long @var{i})
362@deftypefnx {Runtime Function} {long double} __floattitf (long long @var{i})
363@deftypefnx {Runtime Function} {long double} __floattixf (long long @var{i})
364These functions convert @var{i}, a signed long long, to floating point.
365@end deftypefn
366
367@deftypefn {Runtime Function} float __floatunsisf (unsigned int @var{i})
368@deftypefnx {Runtime Function} double __floatunsidf (unsigned int @var{i})
369@deftypefnx {Runtime Function} {long double} __floatunsitf (unsigned int @var{i})
370@deftypefnx {Runtime Function} {long double} __floatunsixf (unsigned int @var{i})
371These functions convert @var{i}, an unsigned integer, to floating point.
372@end deftypefn
373
374@deftypefn {Runtime Function} float __floatundisf (unsigned long @var{i})
375@deftypefnx {Runtime Function} double __floatundidf (unsigned long @var{i})
376@deftypefnx {Runtime Function} {long double} __floatunditf (unsigned long @var{i})
377@deftypefnx {Runtime Function} {long double} __floatundixf (unsigned long @var{i})
378These functions convert @var{i}, an unsigned long, to floating point.
379@end deftypefn
380
381@deftypefn {Runtime Function} float __floatuntisf (unsigned long long @var{i})
382@deftypefnx {Runtime Function} double __floatuntidf (unsigned long long @var{i})
383@deftypefnx {Runtime Function} {long double} __floatuntitf (unsigned long long @var{i})
384@deftypefnx {Runtime Function} {long double} __floatuntixf (unsigned long long @var{i})
385These functions convert @var{i}, an unsigned long long, to floating point.
386@end deftypefn
387
388@subsection Comparison functions
389
390There are two sets of basic comparison functions.
391
392@deftypefn {Runtime Function} int __cmpsf2 (float @var{a}, float @var{b})
393@deftypefnx {Runtime Function} int __cmpdf2 (double @var{a}, double @var{b})
394@deftypefnx {Runtime Function} int __cmptf2 (long double @var{a}, long double @var{b})
395These functions calculate @math{a <=> b}.  That is, if @var{a} is less
396than @var{b}, they return @minus{}1; if @var{a} is greater than @var{b}, they
397return 1; and if @var{a} and @var{b} are equal they return 0.  If
398either argument is NaN they return 1, but you should not rely on this;
399if NaN is a possibility, use one of the higher-level comparison
400functions.
401@end deftypefn
402
403@deftypefn {Runtime Function} int __unordsf2 (float @var{a}, float @var{b})
404@deftypefnx {Runtime Function} int __unorddf2 (double @var{a}, double @var{b})
405@deftypefnx {Runtime Function} int __unordtf2 (long double @var{a}, long double @var{b})
406These functions return a nonzero value if either argument is NaN, otherwise 0.
407@end deftypefn
408
409There is also a complete group of higher level functions which
410correspond directly to comparison operators.  They implement the ISO C
411semantics for floating-point comparisons, taking NaN into account.
412Pay careful attention to the return values defined for each set.
413Under the hood, all of these routines are implemented as
414
415@smallexample
416  if (__unord@var{X}f2 (a, b))
417    return @var{E};
418  return __cmp@var{X}f2 (a, b);
419@end smallexample
420
421@noindent
422where @var{E} is a constant chosen to give the proper behavior for
423NaN@.  Thus, the meaning of the return value is different for each set.
424Do not rely on this implementation; only the semantics documented
425below are guaranteed.
426
427@deftypefn {Runtime Function} int __eqsf2 (float @var{a}, float @var{b})
428@deftypefnx {Runtime Function} int __eqdf2 (double @var{a}, double @var{b})
429@deftypefnx {Runtime Function} int __eqtf2 (long double @var{a}, long double @var{b})
430These functions return zero if neither argument is NaN, and @var{a} and
431@var{b} are equal.
432@end deftypefn
433
434@deftypefn {Runtime Function} int __nesf2 (float @var{a}, float @var{b})
435@deftypefnx {Runtime Function} int __nedf2 (double @var{a}, double @var{b})
436@deftypefnx {Runtime Function} int __netf2 (long double @var{a}, long double @var{b})
437These functions return a nonzero value if either argument is NaN, or
438if @var{a} and @var{b} are unequal.
439@end deftypefn
440
441@deftypefn {Runtime Function} int __gesf2 (float @var{a}, float @var{b})
442@deftypefnx {Runtime Function} int __gedf2 (double @var{a}, double @var{b})
443@deftypefnx {Runtime Function} int __getf2 (long double @var{a}, long double @var{b})
444These functions return a value greater than or equal to zero if
445neither argument is NaN, and @var{a} is greater than or equal to
446@var{b}.
447@end deftypefn
448
449@deftypefn {Runtime Function} int __ltsf2 (float @var{a}, float @var{b})
450@deftypefnx {Runtime Function} int __ltdf2 (double @var{a}, double @var{b})
451@deftypefnx {Runtime Function} int __lttf2 (long double @var{a}, long double @var{b})
452These functions return a value less than zero if neither argument is
453NaN, and @var{a} is strictly less than @var{b}.
454@end deftypefn
455
456@deftypefn {Runtime Function} int __lesf2 (float @var{a}, float @var{b})
457@deftypefnx {Runtime Function} int __ledf2 (double @var{a}, double @var{b})
458@deftypefnx {Runtime Function} int __letf2 (long double @var{a}, long double @var{b})
459These functions return a value less than or equal to zero if neither
460argument is NaN, and @var{a} is less than or equal to @var{b}.
461@end deftypefn
462
463@deftypefn {Runtime Function} int __gtsf2 (float @var{a}, float @var{b})
464@deftypefnx {Runtime Function} int __gtdf2 (double @var{a}, double @var{b})
465@deftypefnx {Runtime Function} int __gttf2 (long double @var{a}, long double @var{b})
466These functions return a value greater than zero if neither argument
467is NaN, and @var{a} is strictly greater than @var{b}.
468@end deftypefn
469
470@subsection Other floating-point functions
471
472@deftypefn {Runtime Function} float __powisf2 (float @var{a}, int @var{b})
473@deftypefnx {Runtime Function} double __powidf2 (double @var{a}, int @var{b})
474@deftypefnx {Runtime Function} {long double} __powitf2 (long double @var{a}, int @var{b})
475@deftypefnx {Runtime Function} {long double} __powixf2 (long double @var{a}, int @var{b})
476These functions convert raise @var{a} to the power @var{b}.
477@end deftypefn
478
479@deftypefn {Runtime Function} {complex float} __mulsc3 (float @var{a}, float @var{b}, float @var{c}, float @var{d})
480@deftypefnx {Runtime Function} {complex double} __muldc3 (double @var{a}, double @var{b}, double @var{c}, double @var{d})
481@deftypefnx {Runtime Function} {complex long double} __multc3 (long double @var{a}, long double @var{b}, long double @var{c}, long double @var{d})
482@deftypefnx {Runtime Function} {complex long double} __mulxc3 (long double @var{a}, long double @var{b}, long double @var{c}, long double @var{d})
483These functions return the product of @math{@var{a} + i@var{b}} and
484@math{@var{c} + i@var{d}}, following the rules of C99 Annex G@.
485@end deftypefn
486
487@deftypefn {Runtime Function} {complex float} __divsc3 (float @var{a}, float @var{b}, float @var{c}, float @var{d})
488@deftypefnx {Runtime Function} {complex double} __divdc3 (double @var{a}, double @var{b}, double @var{c}, double @var{d})
489@deftypefnx {Runtime Function} {complex long double} __divtc3 (long double @var{a}, long double @var{b}, long double @var{c}, long double @var{d})
490@deftypefnx {Runtime Function} {complex long double} __divxc3 (long double @var{a}, long double @var{b}, long double @var{c}, long double @var{d})
491These functions return the quotient of @math{@var{a} + i@var{b}} and
492@math{@var{c} + i@var{d}} (i.e., @math{(@var{a} + i@var{b}) / (@var{c}
493+ i@var{d})}), following the rules of C99 Annex G@.
494@end deftypefn
495
496@node Decimal float library routines
497@section Routines for decimal floating point emulation
498@cindex decimal float library
499@cindex IEEE 754-2008
500
501The software decimal floating point library implements IEEE 754-2008
502decimal floating point arithmetic and is only activated on selected
503targets.
504
505The software decimal floating point library supports either DPD
506(Densely Packed Decimal) or BID (Binary Integer Decimal) encoding
507as selected at configure time.
508
509
510@subsection Arithmetic functions
511
512@deftypefn {Runtime Function} _Decimal32 __dpd_addsd3 (_Decimal32 @var{a}, _Decimal32 @var{b})
513@deftypefnx {Runtime Function} _Decimal32 __bid_addsd3 (_Decimal32 @var{a}, _Decimal32 @var{b})
514@deftypefnx {Runtime Function} _Decimal64 __dpd_adddd3 (_Decimal64 @var{a}, _Decimal64 @var{b})
515@deftypefnx {Runtime Function} _Decimal64 __bid_adddd3 (_Decimal64 @var{a}, _Decimal64 @var{b})
516@deftypefnx {Runtime Function} _Decimal128 __dpd_addtd3 (_Decimal128 @var{a}, _Decimal128 @var{b})
517@deftypefnx {Runtime Function} _Decimal128 __bid_addtd3 (_Decimal128 @var{a}, _Decimal128 @var{b})
518These functions return the sum of @var{a} and @var{b}.
519@end deftypefn
520
521@deftypefn {Runtime Function} _Decimal32 __dpd_subsd3 (_Decimal32 @var{a}, _Decimal32 @var{b})
522@deftypefnx {Runtime Function} _Decimal32 __bid_subsd3 (_Decimal32 @var{a}, _Decimal32 @var{b})
523@deftypefnx {Runtime Function} _Decimal64 __dpd_subdd3 (_Decimal64 @var{a}, _Decimal64 @var{b})
524@deftypefnx {Runtime Function} _Decimal64 __bid_subdd3 (_Decimal64 @var{a}, _Decimal64 @var{b})
525@deftypefnx {Runtime Function} _Decimal128 __dpd_subtd3 (_Decimal128 @var{a}, _Decimal128 @var{b})
526@deftypefnx {Runtime Function} _Decimal128 __bid_subtd3 (_Decimal128 @var{a}, _Decimal128 @var{b})
527These functions return the difference between @var{b} and @var{a};
528that is, @w{@math{@var{a} - @var{b}}}.
529@end deftypefn
530
531@deftypefn {Runtime Function} _Decimal32 __dpd_mulsd3 (_Decimal32 @var{a}, _Decimal32 @var{b})
532@deftypefnx {Runtime Function} _Decimal32 __bid_mulsd3 (_Decimal32 @var{a}, _Decimal32 @var{b})
533@deftypefnx {Runtime Function} _Decimal64 __dpd_muldd3 (_Decimal64 @var{a}, _Decimal64 @var{b})
534@deftypefnx {Runtime Function} _Decimal64 __bid_muldd3 (_Decimal64 @var{a}, _Decimal64 @var{b})
535@deftypefnx {Runtime Function} _Decimal128 __dpd_multd3 (_Decimal128 @var{a}, _Decimal128 @var{b})
536@deftypefnx {Runtime Function} _Decimal128 __bid_multd3 (_Decimal128 @var{a}, _Decimal128 @var{b})
537These functions return the product of @var{a} and @var{b}.
538@end deftypefn
539
540@deftypefn {Runtime Function} _Decimal32 __dpd_divsd3 (_Decimal32 @var{a}, _Decimal32 @var{b})
541@deftypefnx {Runtime Function} _Decimal32 __bid_divsd3 (_Decimal32 @var{a}, _Decimal32 @var{b})
542@deftypefnx {Runtime Function} _Decimal64 __dpd_divdd3 (_Decimal64 @var{a}, _Decimal64 @var{b})
543@deftypefnx {Runtime Function} _Decimal64 __bid_divdd3 (_Decimal64 @var{a}, _Decimal64 @var{b})
544@deftypefnx {Runtime Function} _Decimal128 __dpd_divtd3 (_Decimal128 @var{a}, _Decimal128 @var{b})
545@deftypefnx {Runtime Function} _Decimal128 __bid_divtd3 (_Decimal128 @var{a}, _Decimal128 @var{b})
546These functions return the quotient of @var{a} and @var{b}; that is,
547@w{@math{@var{a} / @var{b}}}.
548@end deftypefn
549
550@deftypefn {Runtime Function} _Decimal32 __dpd_negsd2 (_Decimal32 @var{a})
551@deftypefnx {Runtime Function} _Decimal32 __bid_negsd2 (_Decimal32 @var{a})
552@deftypefnx {Runtime Function} _Decimal64 __dpd_negdd2 (_Decimal64 @var{a})
553@deftypefnx {Runtime Function} _Decimal64 __bid_negdd2 (_Decimal64 @var{a})
554@deftypefnx {Runtime Function} _Decimal128 __dpd_negtd2 (_Decimal128 @var{a})
555@deftypefnx {Runtime Function} _Decimal128 __bid_negtd2 (_Decimal128 @var{a})
556These functions return the negation of @var{a}.  They simply flip the
557sign bit, so they can produce negative zero and negative NaN@.
558@end deftypefn
559
560@subsection Conversion functions
561
562@deftypefn {Runtime Function} _Decimal64 __dpd_extendsddd2 (_Decimal32 @var{a})
563@deftypefnx {Runtime Function} _Decimal64 __bid_extendsddd2 (_Decimal32 @var{a})
564@deftypefnx {Runtime Function} _Decimal128 __dpd_extendsdtd2 (_Decimal32 @var{a})
565@deftypefnx {Runtime Function} _Decimal128 __bid_extendsdtd2 (_Decimal32 @var{a})
566@deftypefnx {Runtime Function} _Decimal128 __dpd_extendddtd2 (_Decimal64 @var{a})
567@deftypefnx {Runtime Function} _Decimal128 __bid_extendddtd2 (_Decimal64 @var{a})
568@deftypefnx {Runtime Function} _Decimal32 __dpd_truncddsd2 (_Decimal64 @var{a})
569@deftypefnx {Runtime Function} _Decimal32 __bid_truncddsd2 (_Decimal64 @var{a})
570@deftypefnx {Runtime Function} _Decimal32 __dpd_trunctdsd2 (_Decimal128 @var{a})
571@deftypefnx {Runtime Function} _Decimal32 __bid_trunctdsd2 (_Decimal128 @var{a})
572@deftypefnx {Runtime Function} _Decimal64 __dpd_trunctddd2 (_Decimal128 @var{a})
573@deftypefnx {Runtime Function} _Decimal64 __bid_trunctddd2 (_Decimal128 @var{a})
574These functions convert the value @var{a} from one decimal floating type
575to another.
576@end deftypefn
577
578@deftypefn {Runtime Function} _Decimal64 __dpd_extendsfdd (float @var{a})
579@deftypefnx {Runtime Function} _Decimal64 __bid_extendsfdd (float @var{a})
580@deftypefnx {Runtime Function} _Decimal128 __dpd_extendsftd (float @var{a})
581@deftypefnx {Runtime Function} _Decimal128 __bid_extendsftd (float @var{a})
582@deftypefnx {Runtime Function} _Decimal128 __dpd_extenddftd (double @var{a})
583@deftypefnx {Runtime Function} _Decimal128 __bid_extenddftd (double @var{a})
584@deftypefnx {Runtime Function} _Decimal128 __dpd_extendxftd ({long double} @var{a})
585@deftypefnx {Runtime Function} _Decimal128 __bid_extendxftd ({long double} @var{a})
586@deftypefnx {Runtime Function} _Decimal32 __dpd_truncdfsd (double @var{a})
587@deftypefnx {Runtime Function} _Decimal32 __bid_truncdfsd (double @var{a})
588@deftypefnx {Runtime Function} _Decimal32 __dpd_truncxfsd ({long double} @var{a})
589@deftypefnx {Runtime Function} _Decimal32 __bid_truncxfsd ({long double} @var{a})
590@deftypefnx {Runtime Function} _Decimal32 __dpd_trunctfsd ({long double} @var{a})
591@deftypefnx {Runtime Function} _Decimal32 __bid_trunctfsd ({long double} @var{a})
592@deftypefnx {Runtime Function} _Decimal64 __dpd_truncxfdd ({long double} @var{a})
593@deftypefnx {Runtime Function} _Decimal64 __bid_truncxfdd ({long double} @var{a})
594@deftypefnx {Runtime Function} _Decimal64 __dpd_trunctfdd ({long double} @var{a})
595@deftypefnx {Runtime Function} _Decimal64 __bid_trunctfdd ({long double} @var{a})
596These functions convert the value of @var{a} from a binary floating type
597to a decimal floating type of a different size.
598@end deftypefn
599
600@deftypefn {Runtime Function} float __dpd_truncddsf (_Decimal64 @var{a})
601@deftypefnx {Runtime Function} float __bid_truncddsf (_Decimal64 @var{a})
602@deftypefnx {Runtime Function} float __dpd_trunctdsf (_Decimal128 @var{a})
603@deftypefnx {Runtime Function} float __bid_trunctdsf (_Decimal128 @var{a})
604@deftypefnx {Runtime Function} double __dpd_extendsddf (_Decimal32 @var{a})
605@deftypefnx {Runtime Function} double __bid_extendsddf (_Decimal32 @var{a})
606@deftypefnx {Runtime Function} double __dpd_trunctddf (_Decimal128 @var{a})
607@deftypefnx {Runtime Function} double __bid_trunctddf (_Decimal128 @var{a})
608@deftypefnx {Runtime Function} {long double} __dpd_extendsdxf (_Decimal32 @var{a})
609@deftypefnx {Runtime Function} {long double} __bid_extendsdxf (_Decimal32 @var{a})
610@deftypefnx {Runtime Function} {long double} __dpd_extendddxf (_Decimal64 @var{a})
611@deftypefnx {Runtime Function} {long double} __bid_extendddxf (_Decimal64 @var{a})
612@deftypefnx {Runtime Function} {long double} __dpd_trunctdxf (_Decimal128 @var{a})
613@deftypefnx {Runtime Function} {long double} __bid_trunctdxf (_Decimal128 @var{a})
614@deftypefnx {Runtime Function} {long double} __dpd_extendsdtf (_Decimal32 @var{a})
615@deftypefnx {Runtime Function} {long double} __bid_extendsdtf (_Decimal32 @var{a})
616@deftypefnx {Runtime Function} {long double} __dpd_extendddtf (_Decimal64 @var{a})
617@deftypefnx {Runtime Function} {long double} __bid_extendddtf (_Decimal64 @var{a})
618These functions convert the value of @var{a} from a decimal floating type
619to a binary floating type of a different size.
620@end deftypefn
621
622@deftypefn {Runtime Function} _Decimal32 __dpd_extendsfsd (float @var{a})
623@deftypefnx {Runtime Function} _Decimal32 __bid_extendsfsd (float @var{a})
624@deftypefnx {Runtime Function} _Decimal64 __dpd_extenddfdd (double @var{a})
625@deftypefnx {Runtime Function} _Decimal64 __bid_extenddfdd (double @var{a})
626@deftypefnx {Runtime Function} _Decimal128 __dpd_extendtftd ({long double} @var{a})
627@deftypefnx {Runtime Function} _Decimal128 __bid_extendtftd ({long double} @var{a})
628@deftypefnx {Runtime Function} float __dpd_truncsdsf (_Decimal32 @var{a})
629@deftypefnx {Runtime Function} float __bid_truncsdsf (_Decimal32 @var{a})
630@deftypefnx {Runtime Function} double __dpd_truncdddf (_Decimal64 @var{a})
631@deftypefnx {Runtime Function} double __bid_truncdddf (_Decimal64 @var{a})
632@deftypefnx {Runtime Function} {long double} __dpd_trunctdtf (_Decimal128 @var{a})
633@deftypefnx {Runtime Function} {long double} __bid_trunctdtf (_Decimal128 @var{a})
634These functions convert the value of @var{a} between decimal and
635binary floating types of the same size.
636@end deftypefn
637
638@deftypefn {Runtime Function} int __dpd_fixsdsi (_Decimal32 @var{a})
639@deftypefnx {Runtime Function} int __bid_fixsdsi (_Decimal32 @var{a})
640@deftypefnx {Runtime Function} int __dpd_fixddsi (_Decimal64 @var{a})
641@deftypefnx {Runtime Function} int __bid_fixddsi (_Decimal64 @var{a})
642@deftypefnx {Runtime Function} int __dpd_fixtdsi (_Decimal128 @var{a})
643@deftypefnx {Runtime Function} int __bid_fixtdsi (_Decimal128 @var{a})
644These functions convert @var{a} to a signed integer.
645@end deftypefn
646
647@deftypefn {Runtime Function} long __dpd_fixsddi (_Decimal32 @var{a})
648@deftypefnx {Runtime Function} long __bid_fixsddi (_Decimal32 @var{a})
649@deftypefnx {Runtime Function} long __dpd_fixdddi (_Decimal64 @var{a})
650@deftypefnx {Runtime Function} long __bid_fixdddi (_Decimal64 @var{a})
651@deftypefnx {Runtime Function} long __dpd_fixtddi (_Decimal128 @var{a})
652@deftypefnx {Runtime Function} long __bid_fixtddi (_Decimal128 @var{a})
653These functions convert @var{a} to a signed long.
654@end deftypefn
655
656@deftypefn {Runtime Function} {unsigned int} __dpd_fixunssdsi (_Decimal32 @var{a})
657@deftypefnx {Runtime Function} {unsigned int} __bid_fixunssdsi (_Decimal32 @var{a})
658@deftypefnx {Runtime Function} {unsigned int} __dpd_fixunsddsi (_Decimal64 @var{a})
659@deftypefnx {Runtime Function} {unsigned int} __bid_fixunsddsi (_Decimal64 @var{a})
660@deftypefnx {Runtime Function} {unsigned int} __dpd_fixunstdsi (_Decimal128 @var{a})
661@deftypefnx {Runtime Function} {unsigned int} __bid_fixunstdsi (_Decimal128 @var{a})
662These functions convert @var{a} to an unsigned integer.  Negative values all become zero.
663@end deftypefn
664
665@deftypefn {Runtime Function} {unsigned long} __dpd_fixunssddi (_Decimal32 @var{a})
666@deftypefnx {Runtime Function} {unsigned long} __bid_fixunssddi (_Decimal32 @var{a})
667@deftypefnx {Runtime Function} {unsigned long} __dpd_fixunsdddi (_Decimal64 @var{a})
668@deftypefnx {Runtime Function} {unsigned long} __bid_fixunsdddi (_Decimal64 @var{a})
669@deftypefnx {Runtime Function} {unsigned long} __dpd_fixunstddi (_Decimal128 @var{a})
670@deftypefnx {Runtime Function} {unsigned long} __bid_fixunstddi (_Decimal128 @var{a})
671These functions convert @var{a} to an unsigned long.  Negative values
672all become zero.
673@end deftypefn
674
675@deftypefn {Runtime Function} _Decimal32 __dpd_floatsisd (int @var{i})
676@deftypefnx {Runtime Function} _Decimal32 __bid_floatsisd (int @var{i})
677@deftypefnx {Runtime Function} _Decimal64 __dpd_floatsidd (int @var{i})
678@deftypefnx {Runtime Function} _Decimal64 __bid_floatsidd (int @var{i})
679@deftypefnx {Runtime Function} _Decimal128 __dpd_floatsitd (int @var{i})
680@deftypefnx {Runtime Function} _Decimal128 __bid_floatsitd (int @var{i})
681These functions convert @var{i}, a signed integer, to decimal floating point.
682@end deftypefn
683
684@deftypefn {Runtime Function} _Decimal32 __dpd_floatdisd (long @var{i})
685@deftypefnx {Runtime Function} _Decimal32 __bid_floatdisd (long @var{i})
686@deftypefnx {Runtime Function} _Decimal64 __dpd_floatdidd (long @var{i})
687@deftypefnx {Runtime Function} _Decimal64 __bid_floatdidd (long @var{i})
688@deftypefnx {Runtime Function} _Decimal128 __dpd_floatditd (long @var{i})
689@deftypefnx {Runtime Function} _Decimal128 __bid_floatditd (long @var{i})
690These functions convert @var{i}, a signed long, to decimal floating point.
691@end deftypefn
692
693@deftypefn {Runtime Function} _Decimal32 __dpd_floatunssisd (unsigned int @var{i})
694@deftypefnx {Runtime Function} _Decimal32 __bid_floatunssisd (unsigned int @var{i})
695@deftypefnx {Runtime Function} _Decimal64 __dpd_floatunssidd (unsigned int @var{i})
696@deftypefnx {Runtime Function} _Decimal64 __bid_floatunssidd (unsigned int @var{i})
697@deftypefnx {Runtime Function} _Decimal128 __dpd_floatunssitd (unsigned int @var{i})
698@deftypefnx {Runtime Function} _Decimal128 __bid_floatunssitd (unsigned int @var{i})
699These functions convert @var{i}, an unsigned integer, to decimal floating point.
700@end deftypefn
701
702@deftypefn {Runtime Function} _Decimal32 __dpd_floatunsdisd (unsigned long @var{i})
703@deftypefnx {Runtime Function} _Decimal32 __bid_floatunsdisd (unsigned long @var{i})
704@deftypefnx {Runtime Function} _Decimal64 __dpd_floatunsdidd (unsigned long @var{i})
705@deftypefnx {Runtime Function} _Decimal64 __bid_floatunsdidd (unsigned long @var{i})
706@deftypefnx {Runtime Function} _Decimal128 __dpd_floatunsditd (unsigned long @var{i})
707@deftypefnx {Runtime Function} _Decimal128 __bid_floatunsditd (unsigned long @var{i})
708These functions convert @var{i}, an unsigned long, to decimal floating point.
709@end deftypefn
710
711@subsection Comparison functions
712
713@deftypefn {Runtime Function} int __dpd_unordsd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
714@deftypefnx {Runtime Function} int __bid_unordsd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
715@deftypefnx {Runtime Function} int __dpd_unorddd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
716@deftypefnx {Runtime Function} int __bid_unorddd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
717@deftypefnx {Runtime Function} int __dpd_unordtd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
718@deftypefnx {Runtime Function} int __bid_unordtd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
719These functions return a nonzero value if either argument is NaN, otherwise 0.
720@end deftypefn
721
722There is also a complete group of higher level functions which
723correspond directly to comparison operators.  They implement the ISO C
724semantics for floating-point comparisons, taking NaN into account.
725Pay careful attention to the return values defined for each set.
726Under the hood, all of these routines are implemented as
727
728@smallexample
729  if (__bid_unord@var{X}d2 (a, b))
730    return @var{E};
731  return __bid_cmp@var{X}d2 (a, b);
732@end smallexample
733
734@noindent
735where @var{E} is a constant chosen to give the proper behavior for
736NaN@.  Thus, the meaning of the return value is different for each set.
737Do not rely on this implementation; only the semantics documented
738below are guaranteed.
739
740@deftypefn {Runtime Function} int __dpd_eqsd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
741@deftypefnx {Runtime Function} int __bid_eqsd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
742@deftypefnx {Runtime Function} int __dpd_eqdd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
743@deftypefnx {Runtime Function} int __bid_eqdd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
744@deftypefnx {Runtime Function} int __dpd_eqtd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
745@deftypefnx {Runtime Function} int __bid_eqtd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
746These functions return zero if neither argument is NaN, and @var{a} and
747@var{b} are equal.
748@end deftypefn
749
750@deftypefn {Runtime Function} int __dpd_nesd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
751@deftypefnx {Runtime Function} int __bid_nesd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
752@deftypefnx {Runtime Function} int __dpd_nedd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
753@deftypefnx {Runtime Function} int __bid_nedd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
754@deftypefnx {Runtime Function} int __dpd_netd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
755@deftypefnx {Runtime Function} int __bid_netd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
756These functions return a nonzero value if either argument is NaN, or
757if @var{a} and @var{b} are unequal.
758@end deftypefn
759
760@deftypefn {Runtime Function} int __dpd_gesd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
761@deftypefnx {Runtime Function} int __bid_gesd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
762@deftypefnx {Runtime Function} int __dpd_gedd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
763@deftypefnx {Runtime Function} int __bid_gedd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
764@deftypefnx {Runtime Function} int __dpd_getd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
765@deftypefnx {Runtime Function} int __bid_getd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
766These functions return a value greater than or equal to zero if
767neither argument is NaN, and @var{a} is greater than or equal to
768@var{b}.
769@end deftypefn
770
771@deftypefn {Runtime Function} int __dpd_ltsd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
772@deftypefnx {Runtime Function} int __bid_ltsd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
773@deftypefnx {Runtime Function} int __dpd_ltdd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
774@deftypefnx {Runtime Function} int __bid_ltdd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
775@deftypefnx {Runtime Function} int __dpd_lttd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
776@deftypefnx {Runtime Function} int __bid_lttd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
777These functions return a value less than zero if neither argument is
778NaN, and @var{a} is strictly less than @var{b}.
779@end deftypefn
780
781@deftypefn {Runtime Function} int __dpd_lesd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
782@deftypefnx {Runtime Function} int __bid_lesd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
783@deftypefnx {Runtime Function} int __dpd_ledd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
784@deftypefnx {Runtime Function} int __bid_ledd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
785@deftypefnx {Runtime Function} int __dpd_letd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
786@deftypefnx {Runtime Function} int __bid_letd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
787These functions return a value less than or equal to zero if neither
788argument is NaN, and @var{a} is less than or equal to @var{b}.
789@end deftypefn
790
791@deftypefn {Runtime Function} int __dpd_gtsd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
792@deftypefnx {Runtime Function} int __bid_gtsd2 (_Decimal32 @var{a}, _Decimal32 @var{b})
793@deftypefnx {Runtime Function} int __dpd_gtdd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
794@deftypefnx {Runtime Function} int __bid_gtdd2 (_Decimal64 @var{a}, _Decimal64 @var{b})
795@deftypefnx {Runtime Function} int __dpd_gttd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
796@deftypefnx {Runtime Function} int __bid_gttd2 (_Decimal128 @var{a}, _Decimal128 @var{b})
797These functions return a value greater than zero if neither argument
798is NaN, and @var{a} is strictly greater than @var{b}.
799@end deftypefn
800
801@node Fixed-point fractional library routines
802@section Routines for fixed-point fractional emulation
803@cindex fixed-point fractional library
804@cindex fractional types
805@cindex Embedded C
806
807The software fixed-point library implements fixed-point fractional
808arithmetic, and is only activated on selected targets.
809
810For ease of comprehension @code{fract} is an alias for the
811@code{_Fract} type, @code{accum} an alias for @code{_Accum}, and
812@code{sat} an alias for @code{_Sat}.
813
814For illustrative purposes, in this section the fixed-point fractional type
815@code{@w{short fract}} is assumed to correspond to machine mode @code{QQmode};
816@code{@w{unsigned short fract}} to @code{UQQmode};
817@code{fract} to @code{HQmode};
818@code{@w{unsigned fract}} to @code{UHQmode};
819@code{@w{long fract}} to @code{SQmode};
820@code{@w{unsigned long fract}} to @code{USQmode};
821@code{@w{long long fract}} to @code{DQmode};
822and @code{@w{unsigned long long fract}} to @code{UDQmode}.
823Similarly the fixed-point accumulator type
824@code{@w{short accum}} corresponds to @code{HAmode};
825@code{@w{unsigned short accum}} to @code{UHAmode};
826@code{accum} to @code{SAmode};
827@code{@w{unsigned accum}} to @code{USAmode};
828@code{@w{long accum}} to @code{DAmode};
829@code{@w{unsigned long accum}} to @code{UDAmode};
830@code{@w{long long accum}} to @code{TAmode};
831and @code{@w{unsigned long long accum}} to @code{UTAmode}.
832
833@subsection Arithmetic functions
834
835@deftypefn {Runtime Function} {short fract} __addqq3 (short fract @var{a}, short fract @var{b})
836@deftypefnx {Runtime Function} {fract} __addhq3 (fract @var{a}, fract @var{b})
837@deftypefnx {Runtime Function} {long fract} __addsq3 (long fract @var{a}, long fract @var{b})
838@deftypefnx {Runtime Function} {long long fract} __adddq3 (long long fract @var{a}, long long fract @var{b})
839@deftypefnx {Runtime Function} {unsigned short fract} __adduqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
840@deftypefnx {Runtime Function} {unsigned fract} __adduhq3 (unsigned fract @var{a}, unsigned fract @var{b})
841@deftypefnx {Runtime Function} {unsigned long fract} __addusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
842@deftypefnx {Runtime Function} {unsigned long long fract} __addudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
843@deftypefnx {Runtime Function} {short accum} __addha3 (short accum @var{a}, short accum @var{b})
844@deftypefnx {Runtime Function} {accum} __addsa3 (accum @var{a}, accum @var{b})
845@deftypefnx {Runtime Function} {long accum} __addda3 (long accum @var{a}, long accum @var{b})
846@deftypefnx {Runtime Function} {long long accum} __addta3 (long long accum @var{a}, long long accum @var{b})
847@deftypefnx {Runtime Function} {unsigned short accum} __adduha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
848@deftypefnx {Runtime Function} {unsigned accum} __addusa3 (unsigned accum @var{a}, unsigned accum @var{b})
849@deftypefnx {Runtime Function} {unsigned long accum} __adduda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
850@deftypefnx {Runtime Function} {unsigned long long accum} __adduta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
851These functions return the sum of @var{a} and @var{b}.
852@end deftypefn
853
854@deftypefn {Runtime Function} {short fract} __ssaddqq3 (short fract @var{a}, short fract @var{b})
855@deftypefnx {Runtime Function} {fract} __ssaddhq3 (fract @var{a}, fract @var{b})
856@deftypefnx {Runtime Function} {long fract} __ssaddsq3 (long fract @var{a}, long fract @var{b})
857@deftypefnx {Runtime Function} {long long fract} __ssadddq3 (long long fract @var{a}, long long fract @var{b})
858@deftypefnx {Runtime Function} {short accum} __ssaddha3 (short accum @var{a}, short accum @var{b})
859@deftypefnx {Runtime Function} {accum} __ssaddsa3 (accum @var{a}, accum @var{b})
860@deftypefnx {Runtime Function} {long accum} __ssaddda3 (long accum @var{a}, long accum @var{b})
861@deftypefnx {Runtime Function} {long long accum} __ssaddta3 (long long accum @var{a}, long long accum @var{b})
862These functions return the sum of @var{a} and @var{b} with signed saturation.
863@end deftypefn
864
865@deftypefn {Runtime Function} {unsigned short fract} __usadduqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
866@deftypefnx {Runtime Function} {unsigned fract} __usadduhq3 (unsigned fract @var{a}, unsigned fract @var{b})
867@deftypefnx {Runtime Function} {unsigned long fract} __usaddusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
868@deftypefnx {Runtime Function} {unsigned long long fract} __usaddudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
869@deftypefnx {Runtime Function} {unsigned short accum} __usadduha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
870@deftypefnx {Runtime Function} {unsigned accum} __usaddusa3 (unsigned accum @var{a}, unsigned accum @var{b})
871@deftypefnx {Runtime Function} {unsigned long accum} __usadduda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
872@deftypefnx {Runtime Function} {unsigned long long accum} __usadduta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
873These functions return the sum of @var{a} and @var{b} with unsigned saturation.
874@end deftypefn
875
876@deftypefn {Runtime Function} {short fract} __subqq3 (short fract @var{a}, short fract @var{b})
877@deftypefnx {Runtime Function} {fract} __subhq3 (fract @var{a}, fract @var{b})
878@deftypefnx {Runtime Function} {long fract} __subsq3 (long fract @var{a}, long fract @var{b})
879@deftypefnx {Runtime Function} {long long fract} __subdq3 (long long fract @var{a}, long long fract @var{b})
880@deftypefnx {Runtime Function} {unsigned short fract} __subuqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
881@deftypefnx {Runtime Function} {unsigned fract} __subuhq3 (unsigned fract @var{a}, unsigned fract @var{b})
882@deftypefnx {Runtime Function} {unsigned long fract} __subusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
883@deftypefnx {Runtime Function} {unsigned long long fract} __subudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
884@deftypefnx {Runtime Function} {short accum} __subha3 (short accum @var{a}, short accum @var{b})
885@deftypefnx {Runtime Function} {accum} __subsa3 (accum @var{a}, accum @var{b})
886@deftypefnx {Runtime Function} {long accum} __subda3 (long accum @var{a}, long accum @var{b})
887@deftypefnx {Runtime Function} {long long accum} __subta3 (long long accum @var{a}, long long accum @var{b})
888@deftypefnx {Runtime Function} {unsigned short accum} __subuha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
889@deftypefnx {Runtime Function} {unsigned accum} __subusa3 (unsigned accum @var{a}, unsigned accum @var{b})
890@deftypefnx {Runtime Function} {unsigned long accum} __subuda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
891@deftypefnx {Runtime Function} {unsigned long long accum} __subuta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
892These functions return the difference of @var{a} and @var{b};
893that is, @code{@var{a} - @var{b}}.
894@end deftypefn
895
896@deftypefn {Runtime Function} {short fract} __sssubqq3 (short fract @var{a}, short fract @var{b})
897@deftypefnx {Runtime Function} {fract} __sssubhq3 (fract @var{a}, fract @var{b})
898@deftypefnx {Runtime Function} {long fract} __sssubsq3 (long fract @var{a}, long fract @var{b})
899@deftypefnx {Runtime Function} {long long fract} __sssubdq3 (long long fract @var{a}, long long fract @var{b})
900@deftypefnx {Runtime Function} {short accum} __sssubha3 (short accum @var{a}, short accum @var{b})
901@deftypefnx {Runtime Function} {accum} __sssubsa3 (accum @var{a}, accum @var{b})
902@deftypefnx {Runtime Function} {long accum} __sssubda3 (long accum @var{a}, long accum @var{b})
903@deftypefnx {Runtime Function} {long long accum} __sssubta3 (long long accum @var{a}, long long accum @var{b})
904These functions return the difference of @var{a} and @var{b} with signed
905saturation;  that is, @code{@var{a} - @var{b}}.
906@end deftypefn
907
908@deftypefn {Runtime Function} {unsigned short fract} __ussubuqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
909@deftypefnx {Runtime Function} {unsigned fract} __ussubuhq3 (unsigned fract @var{a}, unsigned fract @var{b})
910@deftypefnx {Runtime Function} {unsigned long fract} __ussubusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
911@deftypefnx {Runtime Function} {unsigned long long fract} __ussubudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
912@deftypefnx {Runtime Function} {unsigned short accum} __ussubuha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
913@deftypefnx {Runtime Function} {unsigned accum} __ussubusa3 (unsigned accum @var{a}, unsigned accum @var{b})
914@deftypefnx {Runtime Function} {unsigned long accum} __ussubuda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
915@deftypefnx {Runtime Function} {unsigned long long accum} __ussubuta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
916These functions return the difference of @var{a} and @var{b} with unsigned
917saturation;  that is, @code{@var{a} - @var{b}}.
918@end deftypefn
919
920@deftypefn {Runtime Function} {short fract} __mulqq3 (short fract @var{a}, short fract @var{b})
921@deftypefnx {Runtime Function} {fract} __mulhq3 (fract @var{a}, fract @var{b})
922@deftypefnx {Runtime Function} {long fract} __mulsq3 (long fract @var{a}, long fract @var{b})
923@deftypefnx {Runtime Function} {long long fract} __muldq3 (long long fract @var{a}, long long fract @var{b})
924@deftypefnx {Runtime Function} {unsigned short fract} __muluqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
925@deftypefnx {Runtime Function} {unsigned fract} __muluhq3 (unsigned fract @var{a}, unsigned fract @var{b})
926@deftypefnx {Runtime Function} {unsigned long fract} __mulusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
927@deftypefnx {Runtime Function} {unsigned long long fract} __muludq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
928@deftypefnx {Runtime Function} {short accum} __mulha3 (short accum @var{a}, short accum @var{b})
929@deftypefnx {Runtime Function} {accum} __mulsa3 (accum @var{a}, accum @var{b})
930@deftypefnx {Runtime Function} {long accum} __mulda3 (long accum @var{a}, long accum @var{b})
931@deftypefnx {Runtime Function} {long long accum} __multa3 (long long accum @var{a}, long long accum @var{b})
932@deftypefnx {Runtime Function} {unsigned short accum} __muluha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
933@deftypefnx {Runtime Function} {unsigned accum} __mulusa3 (unsigned accum @var{a}, unsigned accum @var{b})
934@deftypefnx {Runtime Function} {unsigned long accum} __muluda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
935@deftypefnx {Runtime Function} {unsigned long long accum} __muluta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
936These functions return the product of @var{a} and @var{b}.
937@end deftypefn
938
939@deftypefn {Runtime Function} {short fract} __ssmulqq3 (short fract @var{a}, short fract @var{b})
940@deftypefnx {Runtime Function} {fract} __ssmulhq3 (fract @var{a}, fract @var{b})
941@deftypefnx {Runtime Function} {long fract} __ssmulsq3 (long fract @var{a}, long fract @var{b})
942@deftypefnx {Runtime Function} {long long fract} __ssmuldq3 (long long fract @var{a}, long long fract @var{b})
943@deftypefnx {Runtime Function} {short accum} __ssmulha3 (short accum @var{a}, short accum @var{b})
944@deftypefnx {Runtime Function} {accum} __ssmulsa3 (accum @var{a}, accum @var{b})
945@deftypefnx {Runtime Function} {long accum} __ssmulda3 (long accum @var{a}, long accum @var{b})
946@deftypefnx {Runtime Function} {long long accum} __ssmulta3 (long long accum @var{a}, long long accum @var{b})
947These functions return the product of @var{a} and @var{b} with signed
948saturation.
949@end deftypefn
950
951@deftypefn {Runtime Function} {unsigned short fract} __usmuluqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
952@deftypefnx {Runtime Function} {unsigned fract} __usmuluhq3 (unsigned fract @var{a}, unsigned fract @var{b})
953@deftypefnx {Runtime Function} {unsigned long fract} __usmulusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
954@deftypefnx {Runtime Function} {unsigned long long fract} __usmuludq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
955@deftypefnx {Runtime Function} {unsigned short accum} __usmuluha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
956@deftypefnx {Runtime Function} {unsigned accum} __usmulusa3 (unsigned accum @var{a}, unsigned accum @var{b})
957@deftypefnx {Runtime Function} {unsigned long accum} __usmuluda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
958@deftypefnx {Runtime Function} {unsigned long long accum} __usmuluta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
959These functions return the product of @var{a} and @var{b} with unsigned
960saturation.
961@end deftypefn
962
963@deftypefn {Runtime Function} {short fract} __divqq3 (short fract @var{a}, short fract @var{b})
964@deftypefnx {Runtime Function} {fract} __divhq3 (fract @var{a}, fract @var{b})
965@deftypefnx {Runtime Function} {long fract} __divsq3 (long fract @var{a}, long fract @var{b})
966@deftypefnx {Runtime Function} {long long fract} __divdq3 (long long fract @var{a}, long long fract @var{b})
967@deftypefnx {Runtime Function} {short accum} __divha3 (short accum @var{a}, short accum @var{b})
968@deftypefnx {Runtime Function} {accum} __divsa3 (accum @var{a}, accum @var{b})
969@deftypefnx {Runtime Function} {long accum} __divda3 (long accum @var{a}, long accum @var{b})
970@deftypefnx {Runtime Function} {long long accum} __divta3 (long long accum @var{a}, long long accum @var{b})
971These functions return the quotient of the signed division of @var{a}
972and @var{b}.
973@end deftypefn
974
975@deftypefn {Runtime Function} {unsigned short fract} __udivuqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
976@deftypefnx {Runtime Function} {unsigned fract} __udivuhq3 (unsigned fract @var{a}, unsigned fract @var{b})
977@deftypefnx {Runtime Function} {unsigned long fract} __udivusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
978@deftypefnx {Runtime Function} {unsigned long long fract} __udivudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
979@deftypefnx {Runtime Function} {unsigned short accum} __udivuha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
980@deftypefnx {Runtime Function} {unsigned accum} __udivusa3 (unsigned accum @var{a}, unsigned accum @var{b})
981@deftypefnx {Runtime Function} {unsigned long accum} __udivuda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
982@deftypefnx {Runtime Function} {unsigned long long accum} __udivuta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
983These functions return the quotient of the unsigned division of @var{a}
984and @var{b}.
985@end deftypefn
986
987@deftypefn {Runtime Function} {short fract} __ssdivqq3 (short fract @var{a}, short fract @var{b})
988@deftypefnx {Runtime Function} {fract} __ssdivhq3 (fract @var{a}, fract @var{b})
989@deftypefnx {Runtime Function} {long fract} __ssdivsq3 (long fract @var{a}, long fract @var{b})
990@deftypefnx {Runtime Function} {long long fract} __ssdivdq3 (long long fract @var{a}, long long fract @var{b})
991@deftypefnx {Runtime Function} {short accum} __ssdivha3 (short accum @var{a}, short accum @var{b})
992@deftypefnx {Runtime Function} {accum} __ssdivsa3 (accum @var{a}, accum @var{b})
993@deftypefnx {Runtime Function} {long accum} __ssdivda3 (long accum @var{a}, long accum @var{b})
994@deftypefnx {Runtime Function} {long long accum} __ssdivta3 (long long accum @var{a}, long long accum @var{b})
995These functions return the quotient of the signed division of @var{a}
996and @var{b} with signed saturation.
997@end deftypefn
998
999@deftypefn {Runtime Function} {unsigned short fract} __usdivuqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
1000@deftypefnx {Runtime Function} {unsigned fract} __usdivuhq3 (unsigned fract @var{a}, unsigned fract @var{b})
1001@deftypefnx {Runtime Function} {unsigned long fract} __usdivusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
1002@deftypefnx {Runtime Function} {unsigned long long fract} __usdivudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
1003@deftypefnx {Runtime Function} {unsigned short accum} __usdivuha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
1004@deftypefnx {Runtime Function} {unsigned accum} __usdivusa3 (unsigned accum @var{a}, unsigned accum @var{b})
1005@deftypefnx {Runtime Function} {unsigned long accum} __usdivuda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
1006@deftypefnx {Runtime Function} {unsigned long long accum} __usdivuta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
1007These functions return the quotient of the unsigned division of @var{a}
1008and @var{b} with unsigned saturation.
1009@end deftypefn
1010
1011@deftypefn {Runtime Function} {short fract} __negqq2 (short fract @var{a})
1012@deftypefnx {Runtime Function} {fract} __neghq2 (fract @var{a})
1013@deftypefnx {Runtime Function} {long fract} __negsq2 (long fract @var{a})
1014@deftypefnx {Runtime Function} {long long fract} __negdq2 (long long fract @var{a})
1015@deftypefnx {Runtime Function} {unsigned short fract} __neguqq2 (unsigned short fract @var{a})
1016@deftypefnx {Runtime Function} {unsigned fract} __neguhq2 (unsigned fract @var{a})
1017@deftypefnx {Runtime Function} {unsigned long fract} __negusq2 (unsigned long fract @var{a})
1018@deftypefnx {Runtime Function} {unsigned long long fract} __negudq2 (unsigned long long fract @var{a})
1019@deftypefnx {Runtime Function} {short accum} __negha2 (short accum @var{a})
1020@deftypefnx {Runtime Function} {accum} __negsa2 (accum @var{a})
1021@deftypefnx {Runtime Function} {long accum} __negda2 (long accum @var{a})
1022@deftypefnx {Runtime Function} {long long accum} __negta2 (long long accum @var{a})
1023@deftypefnx {Runtime Function} {unsigned short accum} __neguha2 (unsigned short accum @var{a})
1024@deftypefnx {Runtime Function} {unsigned accum} __negusa2 (unsigned accum @var{a})
1025@deftypefnx {Runtime Function} {unsigned long accum} __neguda2 (unsigned long accum @var{a})
1026@deftypefnx {Runtime Function} {unsigned long long accum} __neguta2 (unsigned long long accum @var{a})
1027These functions return the negation of @var{a}.
1028@end deftypefn
1029
1030@deftypefn {Runtime Function} {short fract} __ssnegqq2 (short fract @var{a})
1031@deftypefnx {Runtime Function} {fract} __ssneghq2 (fract @var{a})
1032@deftypefnx {Runtime Function} {long fract} __ssnegsq2 (long fract @var{a})
1033@deftypefnx {Runtime Function} {long long fract} __ssnegdq2 (long long fract @var{a})
1034@deftypefnx {Runtime Function} {short accum} __ssnegha2 (short accum @var{a})
1035@deftypefnx {Runtime Function} {accum} __ssnegsa2 (accum @var{a})
1036@deftypefnx {Runtime Function} {long accum} __ssnegda2 (long accum @var{a})
1037@deftypefnx {Runtime Function} {long long accum} __ssnegta2 (long long accum @var{a})
1038These functions return the negation of @var{a} with signed saturation.
1039@end deftypefn
1040
1041@deftypefn {Runtime Function} {unsigned short fract} __usneguqq2 (unsigned short fract @var{a})
1042@deftypefnx {Runtime Function} {unsigned fract} __usneguhq2 (unsigned fract @var{a})
1043@deftypefnx {Runtime Function} {unsigned long fract} __usnegusq2 (unsigned long fract @var{a})
1044@deftypefnx {Runtime Function} {unsigned long long fract} __usnegudq2 (unsigned long long fract @var{a})
1045@deftypefnx {Runtime Function} {unsigned short accum} __usneguha2 (unsigned short accum @var{a})
1046@deftypefnx {Runtime Function} {unsigned accum} __usnegusa2 (unsigned accum @var{a})
1047@deftypefnx {Runtime Function} {unsigned long accum} __usneguda2 (unsigned long accum @var{a})
1048@deftypefnx {Runtime Function} {unsigned long long accum} __usneguta2 (unsigned long long accum @var{a})
1049These functions return the negation of @var{a} with unsigned saturation.
1050@end deftypefn
1051
1052@deftypefn {Runtime Function} {short fract} __ashlqq3 (short fract @var{a}, int @var{b})
1053@deftypefnx {Runtime Function} {fract} __ashlhq3 (fract @var{a}, int @var{b})
1054@deftypefnx {Runtime Function} {long fract} __ashlsq3 (long fract @var{a}, int @var{b})
1055@deftypefnx {Runtime Function} {long long fract} __ashldq3 (long long fract @var{a}, int @var{b})
1056@deftypefnx {Runtime Function} {unsigned short fract} __ashluqq3 (unsigned short fract @var{a}, int @var{b})
1057@deftypefnx {Runtime Function} {unsigned fract} __ashluhq3 (unsigned fract @var{a}, int @var{b})
1058@deftypefnx {Runtime Function} {unsigned long fract} __ashlusq3 (unsigned long fract @var{a}, int @var{b})
1059@deftypefnx {Runtime Function} {unsigned long long fract} __ashludq3 (unsigned long long fract @var{a}, int @var{b})
1060@deftypefnx {Runtime Function} {short accum} __ashlha3 (short accum @var{a}, int @var{b})
1061@deftypefnx {Runtime Function} {accum} __ashlsa3 (accum @var{a}, int @var{b})
1062@deftypefnx {Runtime Function} {long accum} __ashlda3 (long accum @var{a}, int @var{b})
1063@deftypefnx {Runtime Function} {long long accum} __ashlta3 (long long accum @var{a}, int @var{b})
1064@deftypefnx {Runtime Function} {unsigned short accum} __ashluha3 (unsigned short accum @var{a}, int @var{b})
1065@deftypefnx {Runtime Function} {unsigned accum} __ashlusa3 (unsigned accum @var{a}, int @var{b})
1066@deftypefnx {Runtime Function} {unsigned long accum} __ashluda3 (unsigned long accum @var{a}, int @var{b})
1067@deftypefnx {Runtime Function} {unsigned long long accum} __ashluta3 (unsigned long long accum @var{a}, int @var{b})
1068These functions return the result of shifting @var{a} left by @var{b} bits.
1069@end deftypefn
1070
1071@deftypefn {Runtime Function} {short fract} __ashrqq3 (short fract @var{a}, int @var{b})
1072@deftypefnx {Runtime Function} {fract} __ashrhq3 (fract @var{a}, int @var{b})
1073@deftypefnx {Runtime Function} {long fract} __ashrsq3 (long fract @var{a}, int @var{b})
1074@deftypefnx {Runtime Function} {long long fract} __ashrdq3 (long long fract @var{a}, int @var{b})
1075@deftypefnx {Runtime Function} {short accum} __ashrha3 (short accum @var{a}, int @var{b})
1076@deftypefnx {Runtime Function} {accum} __ashrsa3 (accum @var{a}, int @var{b})
1077@deftypefnx {Runtime Function} {long accum} __ashrda3 (long accum @var{a}, int @var{b})
1078@deftypefnx {Runtime Function} {long long accum} __ashrta3 (long long accum @var{a}, int @var{b})
1079These functions return the result of arithmetically shifting @var{a} right
1080by @var{b} bits.
1081@end deftypefn
1082
1083@deftypefn {Runtime Function} {unsigned short fract} __lshruqq3 (unsigned short fract @var{a}, int @var{b})
1084@deftypefnx {Runtime Function} {unsigned fract} __lshruhq3 (unsigned fract @var{a}, int @var{b})
1085@deftypefnx {Runtime Function} {unsigned long fract} __lshrusq3 (unsigned long fract @var{a}, int @var{b})
1086@deftypefnx {Runtime Function} {unsigned long long fract} __lshrudq3 (unsigned long long fract @var{a}, int @var{b})
1087@deftypefnx {Runtime Function} {unsigned short accum} __lshruha3 (unsigned short accum @var{a}, int @var{b})
1088@deftypefnx {Runtime Function} {unsigned accum} __lshrusa3 (unsigned accum @var{a}, int @var{b})
1089@deftypefnx {Runtime Function} {unsigned long accum} __lshruda3 (unsigned long accum @var{a}, int @var{b})
1090@deftypefnx {Runtime Function} {unsigned long long accum} __lshruta3 (unsigned long long accum @var{a}, int @var{b})
1091These functions return the result of logically shifting @var{a} right
1092by @var{b} bits.
1093@end deftypefn
1094
1095@deftypefn {Runtime Function} {fract} __ssashlhq3 (fract @var{a}, int @var{b})
1096@deftypefnx {Runtime Function} {long fract} __ssashlsq3 (long fract @var{a}, int @var{b})
1097@deftypefnx {Runtime Function} {long long fract} __ssashldq3 (long long fract @var{a}, int @var{b})
1098@deftypefnx {Runtime Function} {short accum} __ssashlha3 (short accum @var{a}, int @var{b})
1099@deftypefnx {Runtime Function} {accum} __ssashlsa3 (accum @var{a}, int @var{b})
1100@deftypefnx {Runtime Function} {long accum} __ssashlda3 (long accum @var{a}, int @var{b})
1101@deftypefnx {Runtime Function} {long long accum} __ssashlta3 (long long accum @var{a}, int @var{b})
1102These functions return the result of shifting @var{a} left by @var{b} bits
1103with signed saturation.
1104@end deftypefn
1105
1106@deftypefn {Runtime Function} {unsigned short fract} __usashluqq3 (unsigned short fract @var{a}, int @var{b})
1107@deftypefnx {Runtime Function} {unsigned fract} __usashluhq3 (unsigned fract @var{a}, int @var{b})
1108@deftypefnx {Runtime Function} {unsigned long fract} __usashlusq3 (unsigned long fract @var{a}, int @var{b})
1109@deftypefnx {Runtime Function} {unsigned long long fract} __usashludq3 (unsigned long long fract @var{a}, int @var{b})
1110@deftypefnx {Runtime Function} {unsigned short accum} __usashluha3 (unsigned short accum @var{a}, int @var{b})
1111@deftypefnx {Runtime Function} {unsigned accum} __usashlusa3 (unsigned accum @var{a}, int @var{b})
1112@deftypefnx {Runtime Function} {unsigned long accum} __usashluda3 (unsigned long accum @var{a}, int @var{b})
1113@deftypefnx {Runtime Function} {unsigned long long accum} __usashluta3 (unsigned long long accum @var{a}, int @var{b})
1114These functions return the result of shifting @var{a} left by @var{b} bits
1115with unsigned saturation.
1116@end deftypefn
1117
1118@subsection Comparison functions
1119
1120The following functions implement fixed-point comparisons.  These functions
1121implement a low-level compare, upon which the higher level comparison
1122operators (such as less than and greater than or equal to) can be
1123constructed.  The returned values lie in the range zero to two, to allow
1124the high-level operators to be implemented by testing the returned
1125result using either signed or unsigned comparison.
1126
1127@deftypefn {Runtime Function} {int} __cmpqq2 (short fract @var{a}, short fract @var{b})
1128@deftypefnx {Runtime Function} {int} __cmphq2 (fract @var{a}, fract @var{b})
1129@deftypefnx {Runtime Function} {int} __cmpsq2 (long fract @var{a}, long fract @var{b})
1130@deftypefnx {Runtime Function} {int} __cmpdq2 (long long fract @var{a}, long long fract @var{b})
1131@deftypefnx {Runtime Function} {int} __cmpuqq2 (unsigned short fract @var{a}, unsigned short fract @var{b})
1132@deftypefnx {Runtime Function} {int} __cmpuhq2 (unsigned fract @var{a}, unsigned fract @var{b})
1133@deftypefnx {Runtime Function} {int} __cmpusq2 (unsigned long fract @var{a}, unsigned long fract @var{b})
1134@deftypefnx {Runtime Function} {int} __cmpudq2 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
1135@deftypefnx {Runtime Function} {int} __cmpha2 (short accum @var{a}, short accum @var{b})
1136@deftypefnx {Runtime Function} {int} __cmpsa2 (accum @var{a}, accum @var{b})
1137@deftypefnx {Runtime Function} {int} __cmpda2 (long accum @var{a}, long accum @var{b})
1138@deftypefnx {Runtime Function} {int} __cmpta2 (long long accum @var{a}, long long accum @var{b})
1139@deftypefnx {Runtime Function} {int} __cmpuha2 (unsigned short accum @var{a}, unsigned short accum @var{b})
1140@deftypefnx {Runtime Function} {int} __cmpusa2 (unsigned accum @var{a}, unsigned accum @var{b})
1141@deftypefnx {Runtime Function} {int} __cmpuda2 (unsigned long accum @var{a}, unsigned long accum @var{b})
1142@deftypefnx {Runtime Function} {int} __cmputa2 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
1143These functions perform a signed or unsigned comparison of @var{a} and
1144@var{b} (depending on the selected machine mode).  If @var{a} is less
1145than @var{b}, they return 0; if @var{a} is greater than @var{b}, they
1146return 2; and if @var{a} and @var{b} are equal they return 1.
1147@end deftypefn
1148
1149@subsection Conversion functions
1150
1151@deftypefn {Runtime Function} {fract} __fractqqhq2 (short fract @var{a})
1152@deftypefnx {Runtime Function} {long fract} __fractqqsq2 (short fract @var{a})
1153@deftypefnx {Runtime Function} {long long fract} __fractqqdq2 (short fract @var{a})
1154@deftypefnx {Runtime Function} {short accum} __fractqqha (short fract @var{a})
1155@deftypefnx {Runtime Function} {accum} __fractqqsa (short fract @var{a})
1156@deftypefnx {Runtime Function} {long accum} __fractqqda (short fract @var{a})
1157@deftypefnx {Runtime Function} {long long accum} __fractqqta (short fract @var{a})
1158@deftypefnx {Runtime Function} {unsigned short fract} __fractqquqq (short fract @var{a})
1159@deftypefnx {Runtime Function} {unsigned fract} __fractqquhq (short fract @var{a})
1160@deftypefnx {Runtime Function} {unsigned long fract} __fractqqusq (short fract @var{a})
1161@deftypefnx {Runtime Function} {unsigned long long fract} __fractqqudq (short fract @var{a})
1162@deftypefnx {Runtime Function} {unsigned short accum} __fractqquha (short fract @var{a})
1163@deftypefnx {Runtime Function} {unsigned accum} __fractqqusa (short fract @var{a})
1164@deftypefnx {Runtime Function} {unsigned long accum} __fractqquda (short fract @var{a})
1165@deftypefnx {Runtime Function} {unsigned long long accum} __fractqquta (short fract @var{a})
1166@deftypefnx {Runtime Function} {signed char} __fractqqqi (short fract @var{a})
1167@deftypefnx {Runtime Function} {short} __fractqqhi (short fract @var{a})
1168@deftypefnx {Runtime Function} {int} __fractqqsi (short fract @var{a})
1169@deftypefnx {Runtime Function} {long} __fractqqdi (short fract @var{a})
1170@deftypefnx {Runtime Function} {long long} __fractqqti (short fract @var{a})
1171@deftypefnx {Runtime Function} {float} __fractqqsf (short fract @var{a})
1172@deftypefnx {Runtime Function} {double} __fractqqdf (short fract @var{a})
1173@deftypefnx {Runtime Function} {short fract} __fracthqqq2 (fract @var{a})
1174@deftypefnx {Runtime Function} {long fract} __fracthqsq2 (fract @var{a})
1175@deftypefnx {Runtime Function} {long long fract} __fracthqdq2 (fract @var{a})
1176@deftypefnx {Runtime Function} {short accum} __fracthqha (fract @var{a})
1177@deftypefnx {Runtime Function} {accum} __fracthqsa (fract @var{a})
1178@deftypefnx {Runtime Function} {long accum} __fracthqda (fract @var{a})
1179@deftypefnx {Runtime Function} {long long accum} __fracthqta (fract @var{a})
1180@deftypefnx {Runtime Function} {unsigned short fract} __fracthquqq (fract @var{a})
1181@deftypefnx {Runtime Function} {unsigned fract} __fracthquhq (fract @var{a})
1182@deftypefnx {Runtime Function} {unsigned long fract} __fracthqusq (fract @var{a})
1183@deftypefnx {Runtime Function} {unsigned long long fract} __fracthqudq (fract @var{a})
1184@deftypefnx {Runtime Function} {unsigned short accum} __fracthquha (fract @var{a})
1185@deftypefnx {Runtime Function} {unsigned accum} __fracthqusa (fract @var{a})
1186@deftypefnx {Runtime Function} {unsigned long accum} __fracthquda (fract @var{a})
1187@deftypefnx {Runtime Function} {unsigned long long accum} __fracthquta (fract @var{a})
1188@deftypefnx {Runtime Function} {signed char} __fracthqqi (fract @var{a})
1189@deftypefnx {Runtime Function} {short} __fracthqhi (fract @var{a})
1190@deftypefnx {Runtime Function} {int} __fracthqsi (fract @var{a})
1191@deftypefnx {Runtime Function} {long} __fracthqdi (fract @var{a})
1192@deftypefnx {Runtime Function} {long long} __fracthqti (fract @var{a})
1193@deftypefnx {Runtime Function} {float} __fracthqsf (fract @var{a})
1194@deftypefnx {Runtime Function} {double} __fracthqdf (fract @var{a})
1195@deftypefnx {Runtime Function} {short fract} __fractsqqq2 (long fract @var{a})
1196@deftypefnx {Runtime Function} {fract} __fractsqhq2 (long fract @var{a})
1197@deftypefnx {Runtime Function} {long long fract} __fractsqdq2 (long fract @var{a})
1198@deftypefnx {Runtime Function} {short accum} __fractsqha (long fract @var{a})
1199@deftypefnx {Runtime Function} {accum} __fractsqsa (long fract @var{a})
1200@deftypefnx {Runtime Function} {long accum} __fractsqda (long fract @var{a})
1201@deftypefnx {Runtime Function} {long long accum} __fractsqta (long fract @var{a})
1202@deftypefnx {Runtime Function} {unsigned short fract} __fractsquqq (long fract @var{a})
1203@deftypefnx {Runtime Function} {unsigned fract} __fractsquhq (long fract @var{a})
1204@deftypefnx {Runtime Function} {unsigned long fract} __fractsqusq (long fract @var{a})
1205@deftypefnx {Runtime Function} {unsigned long long fract} __fractsqudq (long fract @var{a})
1206@deftypefnx {Runtime Function} {unsigned short accum} __fractsquha (long fract @var{a})
1207@deftypefnx {Runtime Function} {unsigned accum} __fractsqusa (long fract @var{a})
1208@deftypefnx {Runtime Function} {unsigned long accum} __fractsquda (long fract @var{a})
1209@deftypefnx {Runtime Function} {unsigned long long accum} __fractsquta (long fract @var{a})
1210@deftypefnx {Runtime Function} {signed char} __fractsqqi (long fract @var{a})
1211@deftypefnx {Runtime Function} {short} __fractsqhi (long fract @var{a})
1212@deftypefnx {Runtime Function} {int} __fractsqsi (long fract @var{a})
1213@deftypefnx {Runtime Function} {long} __fractsqdi (long fract @var{a})
1214@deftypefnx {Runtime Function} {long long} __fractsqti (long fract @var{a})
1215@deftypefnx {Runtime Function} {float} __fractsqsf (long fract @var{a})
1216@deftypefnx {Runtime Function} {double} __fractsqdf (long fract @var{a})
1217@deftypefnx {Runtime Function} {short fract} __fractdqqq2 (long long fract @var{a})
1218@deftypefnx {Runtime Function} {fract} __fractdqhq2 (long long fract @var{a})
1219@deftypefnx {Runtime Function} {long fract} __fractdqsq2 (long long fract @var{a})
1220@deftypefnx {Runtime Function} {short accum} __fractdqha (long long fract @var{a})
1221@deftypefnx {Runtime Function} {accum} __fractdqsa (long long fract @var{a})
1222@deftypefnx {Runtime Function} {long accum} __fractdqda (long long fract @var{a})
1223@deftypefnx {Runtime Function} {long long accum} __fractdqta (long long fract @var{a})
1224@deftypefnx {Runtime Function} {unsigned short fract} __fractdquqq (long long fract @var{a})
1225@deftypefnx {Runtime Function} {unsigned fract} __fractdquhq (long long fract @var{a})
1226@deftypefnx {Runtime Function} {unsigned long fract} __fractdqusq (long long fract @var{a})
1227@deftypefnx {Runtime Function} {unsigned long long fract} __fractdqudq (long long fract @var{a})
1228@deftypefnx {Runtime Function} {unsigned short accum} __fractdquha (long long fract @var{a})
1229@deftypefnx {Runtime Function} {unsigned accum} __fractdqusa (long long fract @var{a})
1230@deftypefnx {Runtime Function} {unsigned long accum} __fractdquda (long long fract @var{a})
1231@deftypefnx {Runtime Function} {unsigned long long accum} __fractdquta (long long fract @var{a})
1232@deftypefnx {Runtime Function} {signed char} __fractdqqi (long long fract @var{a})
1233@deftypefnx {Runtime Function} {short} __fractdqhi (long long fract @var{a})
1234@deftypefnx {Runtime Function} {int} __fractdqsi (long long fract @var{a})
1235@deftypefnx {Runtime Function} {long} __fractdqdi (long long fract @var{a})
1236@deftypefnx {Runtime Function} {long long} __fractdqti (long long fract @var{a})
1237@deftypefnx {Runtime Function} {float} __fractdqsf (long long fract @var{a})
1238@deftypefnx {Runtime Function} {double} __fractdqdf (long long fract @var{a})
1239@deftypefnx {Runtime Function} {short fract} __fracthaqq (short accum @var{a})
1240@deftypefnx {Runtime Function} {fract} __fracthahq (short accum @var{a})
1241@deftypefnx {Runtime Function} {long fract} __fracthasq (short accum @var{a})
1242@deftypefnx {Runtime Function} {long long fract} __fracthadq (short accum @var{a})
1243@deftypefnx {Runtime Function} {accum} __fracthasa2 (short accum @var{a})
1244@deftypefnx {Runtime Function} {long accum} __fracthada2 (short accum @var{a})
1245@deftypefnx {Runtime Function} {long long accum} __fracthata2 (short accum @var{a})
1246@deftypefnx {Runtime Function} {unsigned short fract} __fracthauqq (short accum @var{a})
1247@deftypefnx {Runtime Function} {unsigned fract} __fracthauhq (short accum @var{a})
1248@deftypefnx {Runtime Function} {unsigned long fract} __fracthausq (short accum @var{a})
1249@deftypefnx {Runtime Function} {unsigned long long fract} __fracthaudq (short accum @var{a})
1250@deftypefnx {Runtime Function} {unsigned short accum} __fracthauha (short accum @var{a})
1251@deftypefnx {Runtime Function} {unsigned accum} __fracthausa (short accum @var{a})
1252@deftypefnx {Runtime Function} {unsigned long accum} __fracthauda (short accum @var{a})
1253@deftypefnx {Runtime Function} {unsigned long long accum} __fracthauta (short accum @var{a})
1254@deftypefnx {Runtime Function} {signed char} __fracthaqi (short accum @var{a})
1255@deftypefnx {Runtime Function} {short} __fracthahi (short accum @var{a})
1256@deftypefnx {Runtime Function} {int} __fracthasi (short accum @var{a})
1257@deftypefnx {Runtime Function} {long} __fracthadi (short accum @var{a})
1258@deftypefnx {Runtime Function} {long long} __fracthati (short accum @var{a})
1259@deftypefnx {Runtime Function} {float} __fracthasf (short accum @var{a})
1260@deftypefnx {Runtime Function} {double} __fracthadf (short accum @var{a})
1261@deftypefnx {Runtime Function} {short fract} __fractsaqq (accum @var{a})
1262@deftypefnx {Runtime Function} {fract} __fractsahq (accum @var{a})
1263@deftypefnx {Runtime Function} {long fract} __fractsasq (accum @var{a})
1264@deftypefnx {Runtime Function} {long long fract} __fractsadq (accum @var{a})
1265@deftypefnx {Runtime Function} {short accum} __fractsaha2 (accum @var{a})
1266@deftypefnx {Runtime Function} {long accum} __fractsada2 (accum @var{a})
1267@deftypefnx {Runtime Function} {long long accum} __fractsata2 (accum @var{a})
1268@deftypefnx {Runtime Function} {unsigned short fract} __fractsauqq (accum @var{a})
1269@deftypefnx {Runtime Function} {unsigned fract} __fractsauhq (accum @var{a})
1270@deftypefnx {Runtime Function} {unsigned long fract} __fractsausq (accum @var{a})
1271@deftypefnx {Runtime Function} {unsigned long long fract} __fractsaudq (accum @var{a})
1272@deftypefnx {Runtime Function} {unsigned short accum} __fractsauha (accum @var{a})
1273@deftypefnx {Runtime Function} {unsigned accum} __fractsausa (accum @var{a})
1274@deftypefnx {Runtime Function} {unsigned long accum} __fractsauda (accum @var{a})
1275@deftypefnx {Runtime Function} {unsigned long long accum} __fractsauta (accum @var{a})
1276@deftypefnx {Runtime Function} {signed char} __fractsaqi (accum @var{a})
1277@deftypefnx {Runtime Function} {short} __fractsahi (accum @var{a})
1278@deftypefnx {Runtime Function} {int} __fractsasi (accum @var{a})
1279@deftypefnx {Runtime Function} {long} __fractsadi (accum @var{a})
1280@deftypefnx {Runtime Function} {long long} __fractsati (accum @var{a})
1281@deftypefnx {Runtime Function} {float} __fractsasf (accum @var{a})
1282@deftypefnx {Runtime Function} {double} __fractsadf (accum @var{a})
1283@deftypefnx {Runtime Function} {short fract} __fractdaqq (long accum @var{a})
1284@deftypefnx {Runtime Function} {fract} __fractdahq (long accum @var{a})
1285@deftypefnx {Runtime Function} {long fract} __fractdasq (long accum @var{a})
1286@deftypefnx {Runtime Function} {long long fract} __fractdadq (long accum @var{a})
1287@deftypefnx {Runtime Function} {short accum} __fractdaha2 (long accum @var{a})
1288@deftypefnx {Runtime Function} {accum} __fractdasa2 (long accum @var{a})
1289@deftypefnx {Runtime Function} {long long accum} __fractdata2 (long accum @var{a})
1290@deftypefnx {Runtime Function} {unsigned short fract} __fractdauqq (long accum @var{a})
1291@deftypefnx {Runtime Function} {unsigned fract} __fractdauhq (long accum @var{a})
1292@deftypefnx {Runtime Function} {unsigned long fract} __fractdausq (long accum @var{a})
1293@deftypefnx {Runtime Function} {unsigned long long fract} __fractdaudq (long accum @var{a})
1294@deftypefnx {Runtime Function} {unsigned short accum} __fractdauha (long accum @var{a})
1295@deftypefnx {Runtime Function} {unsigned accum} __fractdausa (long accum @var{a})
1296@deftypefnx {Runtime Function} {unsigned long accum} __fractdauda (long accum @var{a})
1297@deftypefnx {Runtime Function} {unsigned long long accum} __fractdauta (long accum @var{a})
1298@deftypefnx {Runtime Function} {signed char} __fractdaqi (long accum @var{a})
1299@deftypefnx {Runtime Function} {short} __fractdahi (long accum @var{a})
1300@deftypefnx {Runtime Function} {int} __fractdasi (long accum @var{a})
1301@deftypefnx {Runtime Function} {long} __fractdadi (long accum @var{a})
1302@deftypefnx {Runtime Function} {long long} __fractdati (long accum @var{a})
1303@deftypefnx {Runtime Function} {float} __fractdasf (long accum @var{a})
1304@deftypefnx {Runtime Function} {double} __fractdadf (long accum @var{a})
1305@deftypefnx {Runtime Function} {short fract} __fracttaqq (long long accum @var{a})
1306@deftypefnx {Runtime Function} {fract} __fracttahq (long long accum @var{a})
1307@deftypefnx {Runtime Function} {long fract} __fracttasq (long long accum @var{a})
1308@deftypefnx {Runtime Function} {long long fract} __fracttadq (long long accum @var{a})
1309@deftypefnx {Runtime Function} {short accum} __fracttaha2 (long long accum @var{a})
1310@deftypefnx {Runtime Function} {accum} __fracttasa2 (long long accum @var{a})
1311@deftypefnx {Runtime Function} {long accum} __fracttada2 (long long accum @var{a})
1312@deftypefnx {Runtime Function} {unsigned short fract} __fracttauqq (long long accum @var{a})
1313@deftypefnx {Runtime Function} {unsigned fract} __fracttauhq (long long accum @var{a})
1314@deftypefnx {Runtime Function} {unsigned long fract} __fracttausq (long long accum @var{a})
1315@deftypefnx {Runtime Function} {unsigned long long fract} __fracttaudq (long long accum @var{a})
1316@deftypefnx {Runtime Function} {unsigned short accum} __fracttauha (long long accum @var{a})
1317@deftypefnx {Runtime Function} {unsigned accum} __fracttausa (long long accum @var{a})
1318@deftypefnx {Runtime Function} {unsigned long accum} __fracttauda (long long accum @var{a})
1319@deftypefnx {Runtime Function} {unsigned long long accum} __fracttauta (long long accum @var{a})
1320@deftypefnx {Runtime Function} {signed char} __fracttaqi (long long accum @var{a})
1321@deftypefnx {Runtime Function} {short} __fracttahi (long long accum @var{a})
1322@deftypefnx {Runtime Function} {int} __fracttasi (long long accum @var{a})
1323@deftypefnx {Runtime Function} {long} __fracttadi (long long accum @var{a})
1324@deftypefnx {Runtime Function} {long long} __fracttati (long long accum @var{a})
1325@deftypefnx {Runtime Function} {float} __fracttasf (long long accum @var{a})
1326@deftypefnx {Runtime Function} {double} __fracttadf (long long accum @var{a})
1327@deftypefnx {Runtime Function} {short fract} __fractuqqqq (unsigned short fract @var{a})
1328@deftypefnx {Runtime Function} {fract} __fractuqqhq (unsigned short fract @var{a})
1329@deftypefnx {Runtime Function} {long fract} __fractuqqsq (unsigned short fract @var{a})
1330@deftypefnx {Runtime Function} {long long fract} __fractuqqdq (unsigned short fract @var{a})
1331@deftypefnx {Runtime Function} {short accum} __fractuqqha (unsigned short fract @var{a})
1332@deftypefnx {Runtime Function} {accum} __fractuqqsa (unsigned short fract @var{a})
1333@deftypefnx {Runtime Function} {long accum} __fractuqqda (unsigned short fract @var{a})
1334@deftypefnx {Runtime Function} {long long accum} __fractuqqta (unsigned short fract @var{a})
1335@deftypefnx {Runtime Function} {unsigned fract} __fractuqquhq2 (unsigned short fract @var{a})
1336@deftypefnx {Runtime Function} {unsigned long fract} __fractuqqusq2 (unsigned short fract @var{a})
1337@deftypefnx {Runtime Function} {unsigned long long fract} __fractuqqudq2 (unsigned short fract @var{a})
1338@deftypefnx {Runtime Function} {unsigned short accum} __fractuqquha (unsigned short fract @var{a})
1339@deftypefnx {Runtime Function} {unsigned accum} __fractuqqusa (unsigned short fract @var{a})
1340@deftypefnx {Runtime Function} {unsigned long accum} __fractuqquda (unsigned short fract @var{a})
1341@deftypefnx {Runtime Function} {unsigned long long accum} __fractuqquta (unsigned short fract @var{a})
1342@deftypefnx {Runtime Function} {signed char} __fractuqqqi (unsigned short fract @var{a})
1343@deftypefnx {Runtime Function} {short} __fractuqqhi (unsigned short fract @var{a})
1344@deftypefnx {Runtime Function} {int} __fractuqqsi (unsigned short fract @var{a})
1345@deftypefnx {Runtime Function} {long} __fractuqqdi (unsigned short fract @var{a})
1346@deftypefnx {Runtime Function} {long long} __fractuqqti (unsigned short fract @var{a})
1347@deftypefnx {Runtime Function} {float} __fractuqqsf (unsigned short fract @var{a})
1348@deftypefnx {Runtime Function} {double} __fractuqqdf (unsigned short fract @var{a})
1349@deftypefnx {Runtime Function} {short fract} __fractuhqqq (unsigned fract @var{a})
1350@deftypefnx {Runtime Function} {fract} __fractuhqhq (unsigned fract @var{a})
1351@deftypefnx {Runtime Function} {long fract} __fractuhqsq (unsigned fract @var{a})
1352@deftypefnx {Runtime Function} {long long fract} __fractuhqdq (unsigned fract @var{a})
1353@deftypefnx {Runtime Function} {short accum} __fractuhqha (unsigned fract @var{a})
1354@deftypefnx {Runtime Function} {accum} __fractuhqsa (unsigned fract @var{a})
1355@deftypefnx {Runtime Function} {long accum} __fractuhqda (unsigned fract @var{a})
1356@deftypefnx {Runtime Function} {long long accum} __fractuhqta (unsigned fract @var{a})
1357@deftypefnx {Runtime Function} {unsigned short fract} __fractuhquqq2 (unsigned fract @var{a})
1358@deftypefnx {Runtime Function} {unsigned long fract} __fractuhqusq2 (unsigned fract @var{a})
1359@deftypefnx {Runtime Function} {unsigned long long fract} __fractuhqudq2 (unsigned fract @var{a})
1360@deftypefnx {Runtime Function} {unsigned short accum} __fractuhquha (unsigned fract @var{a})
1361@deftypefnx {Runtime Function} {unsigned accum} __fractuhqusa (unsigned fract @var{a})
1362@deftypefnx {Runtime Function} {unsigned long accum} __fractuhquda (unsigned fract @var{a})
1363@deftypefnx {Runtime Function} {unsigned long long accum} __fractuhquta (unsigned fract @var{a})
1364@deftypefnx {Runtime Function} {signed char} __fractuhqqi (unsigned fract @var{a})
1365@deftypefnx {Runtime Function} {short} __fractuhqhi (unsigned fract @var{a})
1366@deftypefnx {Runtime Function} {int} __fractuhqsi (unsigned fract @var{a})
1367@deftypefnx {Runtime Function} {long} __fractuhqdi (unsigned fract @var{a})
1368@deftypefnx {Runtime Function} {long long} __fractuhqti (unsigned fract @var{a})
1369@deftypefnx {Runtime Function} {float} __fractuhqsf (unsigned fract @var{a})
1370@deftypefnx {Runtime Function} {double} __fractuhqdf (unsigned fract @var{a})
1371@deftypefnx {Runtime Function} {short fract} __fractusqqq (unsigned long fract @var{a})
1372@deftypefnx {Runtime Function} {fract} __fractusqhq (unsigned long fract @var{a})
1373@deftypefnx {Runtime Function} {long fract} __fractusqsq (unsigned long fract @var{a})
1374@deftypefnx {Runtime Function} {long long fract} __fractusqdq (unsigned long fract @var{a})
1375@deftypefnx {Runtime Function} {short accum} __fractusqha (unsigned long fract @var{a})
1376@deftypefnx {Runtime Function} {accum} __fractusqsa (unsigned long fract @var{a})
1377@deftypefnx {Runtime Function} {long accum} __fractusqda (unsigned long fract @var{a})
1378@deftypefnx {Runtime Function} {long long accum} __fractusqta (unsigned long fract @var{a})
1379@deftypefnx {Runtime Function} {unsigned short fract} __fractusquqq2 (unsigned long fract @var{a})
1380@deftypefnx {Runtime Function} {unsigned fract} __fractusquhq2 (unsigned long fract @var{a})
1381@deftypefnx {Runtime Function} {unsigned long long fract} __fractusqudq2 (unsigned long fract @var{a})
1382@deftypefnx {Runtime Function} {unsigned short accum} __fractusquha (unsigned long fract @var{a})
1383@deftypefnx {Runtime Function} {unsigned accum} __fractusqusa (unsigned long fract @var{a})
1384@deftypefnx {Runtime Function} {unsigned long accum} __fractusquda (unsigned long fract @var{a})
1385@deftypefnx {Runtime Function} {unsigned long long accum} __fractusquta (unsigned long fract @var{a})
1386@deftypefnx {Runtime Function} {signed char} __fractusqqi (unsigned long fract @var{a})
1387@deftypefnx {Runtime Function} {short} __fractusqhi (unsigned long fract @var{a})
1388@deftypefnx {Runtime Function} {int} __fractusqsi (unsigned long fract @var{a})
1389@deftypefnx {Runtime Function} {long} __fractusqdi (unsigned long fract @var{a})
1390@deftypefnx {Runtime Function} {long long} __fractusqti (unsigned long fract @var{a})
1391@deftypefnx {Runtime Function} {float} __fractusqsf (unsigned long fract @var{a})
1392@deftypefnx {Runtime Function} {double} __fractusqdf (unsigned long fract @var{a})
1393@deftypefnx {Runtime Function} {short fract} __fractudqqq (unsigned long long fract @var{a})
1394@deftypefnx {Runtime Function} {fract} __fractudqhq (unsigned long long fract @var{a})
1395@deftypefnx {Runtime Function} {long fract} __fractudqsq (unsigned long long fract @var{a})
1396@deftypefnx {Runtime Function} {long long fract} __fractudqdq (unsigned long long fract @var{a})
1397@deftypefnx {Runtime Function} {short accum} __fractudqha (unsigned long long fract @var{a})
1398@deftypefnx {Runtime Function} {accum} __fractudqsa (unsigned long long fract @var{a})
1399@deftypefnx {Runtime Function} {long accum} __fractudqda (unsigned long long fract @var{a})
1400@deftypefnx {Runtime Function} {long long accum} __fractudqta (unsigned long long fract @var{a})
1401@deftypefnx {Runtime Function} {unsigned short fract} __fractudquqq2 (unsigned long long fract @var{a})
1402@deftypefnx {Runtime Function} {unsigned fract} __fractudquhq2 (unsigned long long fract @var{a})
1403@deftypefnx {Runtime Function} {unsigned long fract} __fractudqusq2 (unsigned long long fract @var{a})
1404@deftypefnx {Runtime Function} {unsigned short accum} __fractudquha (unsigned long long fract @var{a})
1405@deftypefnx {Runtime Function} {unsigned accum} __fractudqusa (unsigned long long fract @var{a})
1406@deftypefnx {Runtime Function} {unsigned long accum} __fractudquda (unsigned long long fract @var{a})
1407@deftypefnx {Runtime Function} {unsigned long long accum} __fractudquta (unsigned long long fract @var{a})
1408@deftypefnx {Runtime Function} {signed char} __fractudqqi (unsigned long long fract @var{a})
1409@deftypefnx {Runtime Function} {short} __fractudqhi (unsigned long long fract @var{a})
1410@deftypefnx {Runtime Function} {int} __fractudqsi (unsigned long long fract @var{a})
1411@deftypefnx {Runtime Function} {long} __fractudqdi (unsigned long long fract @var{a})
1412@deftypefnx {Runtime Function} {long long} __fractudqti (unsigned long long fract @var{a})
1413@deftypefnx {Runtime Function} {float} __fractudqsf (unsigned long long fract @var{a})
1414@deftypefnx {Runtime Function} {double} __fractudqdf (unsigned long long fract @var{a})
1415@deftypefnx {Runtime Function} {short fract} __fractuhaqq (unsigned short accum @var{a})
1416@deftypefnx {Runtime Function} {fract} __fractuhahq (unsigned short accum @var{a})
1417@deftypefnx {Runtime Function} {long fract} __fractuhasq (unsigned short accum @var{a})
1418@deftypefnx {Runtime Function} {long long fract} __fractuhadq (unsigned short accum @var{a})
1419@deftypefnx {Runtime Function} {short accum} __fractuhaha (unsigned short accum @var{a})
1420@deftypefnx {Runtime Function} {accum} __fractuhasa (unsigned short accum @var{a})
1421@deftypefnx {Runtime Function} {long accum} __fractuhada (unsigned short accum @var{a})
1422@deftypefnx {Runtime Function} {long long accum} __fractuhata (unsigned short accum @var{a})
1423@deftypefnx {Runtime Function} {unsigned short fract} __fractuhauqq (unsigned short accum @var{a})
1424@deftypefnx {Runtime Function} {unsigned fract} __fractuhauhq (unsigned short accum @var{a})
1425@deftypefnx {Runtime Function} {unsigned long fract} __fractuhausq (unsigned short accum @var{a})
1426@deftypefnx {Runtime Function} {unsigned long long fract} __fractuhaudq (unsigned short accum @var{a})
1427@deftypefnx {Runtime Function} {unsigned accum} __fractuhausa2 (unsigned short accum @var{a})
1428@deftypefnx {Runtime Function} {unsigned long accum} __fractuhauda2 (unsigned short accum @var{a})
1429@deftypefnx {Runtime Function} {unsigned long long accum} __fractuhauta2 (unsigned short accum @var{a})
1430@deftypefnx {Runtime Function} {signed char} __fractuhaqi (unsigned short accum @var{a})
1431@deftypefnx {Runtime Function} {short} __fractuhahi (unsigned short accum @var{a})
1432@deftypefnx {Runtime Function} {int} __fractuhasi (unsigned short accum @var{a})
1433@deftypefnx {Runtime Function} {long} __fractuhadi (unsigned short accum @var{a})
1434@deftypefnx {Runtime Function} {long long} __fractuhati (unsigned short accum @var{a})
1435@deftypefnx {Runtime Function} {float} __fractuhasf (unsigned short accum @var{a})
1436@deftypefnx {Runtime Function} {double} __fractuhadf (unsigned short accum @var{a})
1437@deftypefnx {Runtime Function} {short fract} __fractusaqq (unsigned accum @var{a})
1438@deftypefnx {Runtime Function} {fract} __fractusahq (unsigned accum @var{a})
1439@deftypefnx {Runtime Function} {long fract} __fractusasq (unsigned accum @var{a})
1440@deftypefnx {Runtime Function} {long long fract} __fractusadq (unsigned accum @var{a})
1441@deftypefnx {Runtime Function} {short accum} __fractusaha (unsigned accum @var{a})
1442@deftypefnx {Runtime Function} {accum} __fractusasa (unsigned accum @var{a})
1443@deftypefnx {Runtime Function} {long accum} __fractusada (unsigned accum @var{a})
1444@deftypefnx {Runtime Function} {long long accum} __fractusata (unsigned accum @var{a})
1445@deftypefnx {Runtime Function} {unsigned short fract} __fractusauqq (unsigned accum @var{a})
1446@deftypefnx {Runtime Function} {unsigned fract} __fractusauhq (unsigned accum @var{a})
1447@deftypefnx {Runtime Function} {unsigned long fract} __fractusausq (unsigned accum @var{a})
1448@deftypefnx {Runtime Function} {unsigned long long fract} __fractusaudq (unsigned accum @var{a})
1449@deftypefnx {Runtime Function} {unsigned short accum} __fractusauha2 (unsigned accum @var{a})
1450@deftypefnx {Runtime Function} {unsigned long accum} __fractusauda2 (unsigned accum @var{a})
1451@deftypefnx {Runtime Function} {unsigned long long accum} __fractusauta2 (unsigned accum @var{a})
1452@deftypefnx {Runtime Function} {signed char} __fractusaqi (unsigned accum @var{a})
1453@deftypefnx {Runtime Function} {short} __fractusahi (unsigned accum @var{a})
1454@deftypefnx {Runtime Function} {int} __fractusasi (unsigned accum @var{a})
1455@deftypefnx {Runtime Function} {long} __fractusadi (unsigned accum @var{a})
1456@deftypefnx {Runtime Function} {long long} __fractusati (unsigned accum @var{a})
1457@deftypefnx {Runtime Function} {float} __fractusasf (unsigned accum @var{a})
1458@deftypefnx {Runtime Function} {double} __fractusadf (unsigned accum @var{a})
1459@deftypefnx {Runtime Function} {short fract} __fractudaqq (unsigned long accum @var{a})
1460@deftypefnx {Runtime Function} {fract} __fractudahq (unsigned long accum @var{a})
1461@deftypefnx {Runtime Function} {long fract} __fractudasq (unsigned long accum @var{a})
1462@deftypefnx {Runtime Function} {long long fract} __fractudadq (unsigned long accum @var{a})
1463@deftypefnx {Runtime Function} {short accum} __fractudaha (unsigned long accum @var{a})
1464@deftypefnx {Runtime Function} {accum} __fractudasa (unsigned long accum @var{a})
1465@deftypefnx {Runtime Function} {long accum} __fractudada (unsigned long accum @var{a})
1466@deftypefnx {Runtime Function} {long long accum} __fractudata (unsigned long accum @var{a})
1467@deftypefnx {Runtime Function} {unsigned short fract} __fractudauqq (unsigned long accum @var{a})
1468@deftypefnx {Runtime Function} {unsigned fract} __fractudauhq (unsigned long accum @var{a})
1469@deftypefnx {Runtime Function} {unsigned long fract} __fractudausq (unsigned long accum @var{a})
1470@deftypefnx {Runtime Function} {unsigned long long fract} __fractudaudq (unsigned long accum @var{a})
1471@deftypefnx {Runtime Function} {unsigned short accum} __fractudauha2 (unsigned long accum @var{a})
1472@deftypefnx {Runtime Function} {unsigned accum} __fractudausa2 (unsigned long accum @var{a})
1473@deftypefnx {Runtime Function} {unsigned long long accum} __fractudauta2 (unsigned long accum @var{a})
1474@deftypefnx {Runtime Function} {signed char} __fractudaqi (unsigned long accum @var{a})
1475@deftypefnx {Runtime Function} {short} __fractudahi (unsigned long accum @var{a})
1476@deftypefnx {Runtime Function} {int} __fractudasi (unsigned long accum @var{a})
1477@deftypefnx {Runtime Function} {long} __fractudadi (unsigned long accum @var{a})
1478@deftypefnx {Runtime Function} {long long} __fractudati (unsigned long accum @var{a})
1479@deftypefnx {Runtime Function} {float} __fractudasf (unsigned long accum @var{a})
1480@deftypefnx {Runtime Function} {double} __fractudadf (unsigned long accum @var{a})
1481@deftypefnx {Runtime Function} {short fract} __fractutaqq (unsigned long long accum @var{a})
1482@deftypefnx {Runtime Function} {fract} __fractutahq (unsigned long long accum @var{a})
1483@deftypefnx {Runtime Function} {long fract} __fractutasq (unsigned long long accum @var{a})
1484@deftypefnx {Runtime Function} {long long fract} __fractutadq (unsigned long long accum @var{a})
1485@deftypefnx {Runtime Function} {short accum} __fractutaha (unsigned long long accum @var{a})
1486@deftypefnx {Runtime Function} {accum} __fractutasa (unsigned long long accum @var{a})
1487@deftypefnx {Runtime Function} {long accum} __fractutada (unsigned long long accum @var{a})
1488@deftypefnx {Runtime Function} {long long accum} __fractutata (unsigned long long accum @var{a})
1489@deftypefnx {Runtime Function} {unsigned short fract} __fractutauqq (unsigned long long accum @var{a})
1490@deftypefnx {Runtime Function} {unsigned fract} __fractutauhq (unsigned long long accum @var{a})
1491@deftypefnx {Runtime Function} {unsigned long fract} __fractutausq (unsigned long long accum @var{a})
1492@deftypefnx {Runtime Function} {unsigned long long fract} __fractutaudq (unsigned long long accum @var{a})
1493@deftypefnx {Runtime Function} {unsigned short accum} __fractutauha2 (unsigned long long accum @var{a})
1494@deftypefnx {Runtime Function} {unsigned accum} __fractutausa2 (unsigned long long accum @var{a})
1495@deftypefnx {Runtime Function} {unsigned long accum} __fractutauda2 (unsigned long long accum @var{a})
1496@deftypefnx {Runtime Function} {signed char} __fractutaqi (unsigned long long accum @var{a})
1497@deftypefnx {Runtime Function} {short} __fractutahi (unsigned long long accum @var{a})
1498@deftypefnx {Runtime Function} {int} __fractutasi (unsigned long long accum @var{a})
1499@deftypefnx {Runtime Function} {long} __fractutadi (unsigned long long accum @var{a})
1500@deftypefnx {Runtime Function} {long long} __fractutati (unsigned long long accum @var{a})
1501@deftypefnx {Runtime Function} {float} __fractutasf (unsigned long long accum @var{a})
1502@deftypefnx {Runtime Function} {double} __fractutadf (unsigned long long accum @var{a})
1503@deftypefnx {Runtime Function} {short fract} __fractqiqq (signed char @var{a})
1504@deftypefnx {Runtime Function} {fract} __fractqihq (signed char @var{a})
1505@deftypefnx {Runtime Function} {long fract} __fractqisq (signed char @var{a})
1506@deftypefnx {Runtime Function} {long long fract} __fractqidq (signed char @var{a})
1507@deftypefnx {Runtime Function} {short accum} __fractqiha (signed char @var{a})
1508@deftypefnx {Runtime Function} {accum} __fractqisa (signed char @var{a})
1509@deftypefnx {Runtime Function} {long accum} __fractqida (signed char @var{a})
1510@deftypefnx {Runtime Function} {long long accum} __fractqita (signed char @var{a})
1511@deftypefnx {Runtime Function} {unsigned short fract} __fractqiuqq (signed char @var{a})
1512@deftypefnx {Runtime Function} {unsigned fract} __fractqiuhq (signed char @var{a})
1513@deftypefnx {Runtime Function} {unsigned long fract} __fractqiusq (signed char @var{a})
1514@deftypefnx {Runtime Function} {unsigned long long fract} __fractqiudq (signed char @var{a})
1515@deftypefnx {Runtime Function} {unsigned short accum} __fractqiuha (signed char @var{a})
1516@deftypefnx {Runtime Function} {unsigned accum} __fractqiusa (signed char @var{a})
1517@deftypefnx {Runtime Function} {unsigned long accum} __fractqiuda (signed char @var{a})
1518@deftypefnx {Runtime Function} {unsigned long long accum} __fractqiuta (signed char @var{a})
1519@deftypefnx {Runtime Function} {short fract} __fracthiqq (short @var{a})
1520@deftypefnx {Runtime Function} {fract} __fracthihq (short @var{a})
1521@deftypefnx {Runtime Function} {long fract} __fracthisq (short @var{a})
1522@deftypefnx {Runtime Function} {long long fract} __fracthidq (short @var{a})
1523@deftypefnx {Runtime Function} {short accum} __fracthiha (short @var{a})
1524@deftypefnx {Runtime Function} {accum} __fracthisa (short @var{a})
1525@deftypefnx {Runtime Function} {long accum} __fracthida (short @var{a})
1526@deftypefnx {Runtime Function} {long long accum} __fracthita (short @var{a})
1527@deftypefnx {Runtime Function} {unsigned short fract} __fracthiuqq (short @var{a})
1528@deftypefnx {Runtime Function} {unsigned fract} __fracthiuhq (short @var{a})
1529@deftypefnx {Runtime Function} {unsigned long fract} __fracthiusq (short @var{a})
1530@deftypefnx {Runtime Function} {unsigned long long fract} __fracthiudq (short @var{a})
1531@deftypefnx {Runtime Function} {unsigned short accum} __fracthiuha (short @var{a})
1532@deftypefnx {Runtime Function} {unsigned accum} __fracthiusa (short @var{a})
1533@deftypefnx {Runtime Function} {unsigned long accum} __fracthiuda (short @var{a})
1534@deftypefnx {Runtime Function} {unsigned long long accum} __fracthiuta (short @var{a})
1535@deftypefnx {Runtime Function} {short fract} __fractsiqq (int @var{a})
1536@deftypefnx {Runtime Function} {fract} __fractsihq (int @var{a})
1537@deftypefnx {Runtime Function} {long fract} __fractsisq (int @var{a})
1538@deftypefnx {Runtime Function} {long long fract} __fractsidq (int @var{a})
1539@deftypefnx {Runtime Function} {short accum} __fractsiha (int @var{a})
1540@deftypefnx {Runtime Function} {accum} __fractsisa (int @var{a})
1541@deftypefnx {Runtime Function} {long accum} __fractsida (int @var{a})
1542@deftypefnx {Runtime Function} {long long accum} __fractsita (int @var{a})
1543@deftypefnx {Runtime Function} {unsigned short fract} __fractsiuqq (int @var{a})
1544@deftypefnx {Runtime Function} {unsigned fract} __fractsiuhq (int @var{a})
1545@deftypefnx {Runtime Function} {unsigned long fract} __fractsiusq (int @var{a})
1546@deftypefnx {Runtime Function} {unsigned long long fract} __fractsiudq (int @var{a})
1547@deftypefnx {Runtime Function} {unsigned short accum} __fractsiuha (int @var{a})
1548@deftypefnx {Runtime Function} {unsigned accum} __fractsiusa (int @var{a})
1549@deftypefnx {Runtime Function} {unsigned long accum} __fractsiuda (int @var{a})
1550@deftypefnx {Runtime Function} {unsigned long long accum} __fractsiuta (int @var{a})
1551@deftypefnx {Runtime Function} {short fract} __fractdiqq (long @var{a})
1552@deftypefnx {Runtime Function} {fract} __fractdihq (long @var{a})
1553@deftypefnx {Runtime Function} {long fract} __fractdisq (long @var{a})
1554@deftypefnx {Runtime Function} {long long fract} __fractdidq (long @var{a})
1555@deftypefnx {Runtime Function} {short accum} __fractdiha (long @var{a})
1556@deftypefnx {Runtime Function} {accum} __fractdisa (long @var{a})
1557@deftypefnx {Runtime Function} {long accum} __fractdida (long @var{a})
1558@deftypefnx {Runtime Function} {long long accum} __fractdita (long @var{a})
1559@deftypefnx {Runtime Function} {unsigned short fract} __fractdiuqq (long @var{a})
1560@deftypefnx {Runtime Function} {unsigned fract} __fractdiuhq (long @var{a})
1561@deftypefnx {Runtime Function} {unsigned long fract} __fractdiusq (long @var{a})
1562@deftypefnx {Runtime Function} {unsigned long long fract} __fractdiudq (long @var{a})
1563@deftypefnx {Runtime Function} {unsigned short accum} __fractdiuha (long @var{a})
1564@deftypefnx {Runtime Function} {unsigned accum} __fractdiusa (long @var{a})
1565@deftypefnx {Runtime Function} {unsigned long accum} __fractdiuda (long @var{a})
1566@deftypefnx {Runtime Function} {unsigned long long accum} __fractdiuta (long @var{a})
1567@deftypefnx {Runtime Function} {short fract} __fracttiqq (long long @var{a})
1568@deftypefnx {Runtime Function} {fract} __fracttihq (long long @var{a})
1569@deftypefnx {Runtime Function} {long fract} __fracttisq (long long @var{a})
1570@deftypefnx {Runtime Function} {long long fract} __fracttidq (long long @var{a})
1571@deftypefnx {Runtime Function} {short accum} __fracttiha (long long @var{a})
1572@deftypefnx {Runtime Function} {accum} __fracttisa (long long @var{a})
1573@deftypefnx {Runtime Function} {long accum} __fracttida (long long @var{a})
1574@deftypefnx {Runtime Function} {long long accum} __fracttita (long long @var{a})
1575@deftypefnx {Runtime Function} {unsigned short fract} __fracttiuqq (long long @var{a})
1576@deftypefnx {Runtime Function} {unsigned fract} __fracttiuhq (long long @var{a})
1577@deftypefnx {Runtime Function} {unsigned long fract} __fracttiusq (long long @var{a})
1578@deftypefnx {Runtime Function} {unsigned long long fract} __fracttiudq (long long @var{a})
1579@deftypefnx {Runtime Function} {unsigned short accum} __fracttiuha (long long @var{a})
1580@deftypefnx {Runtime Function} {unsigned accum} __fracttiusa (long long @var{a})
1581@deftypefnx {Runtime Function} {unsigned long accum} __fracttiuda (long long @var{a})
1582@deftypefnx {Runtime Function} {unsigned long long accum} __fracttiuta (long long @var{a})
1583@deftypefnx {Runtime Function} {short fract} __fractsfqq (float @var{a})
1584@deftypefnx {Runtime Function} {fract} __fractsfhq (float @var{a})
1585@deftypefnx {Runtime Function} {long fract} __fractsfsq (float @var{a})
1586@deftypefnx {Runtime Function} {long long fract} __fractsfdq (float @var{a})
1587@deftypefnx {Runtime Function} {short accum} __fractsfha (float @var{a})
1588@deftypefnx {Runtime Function} {accum} __fractsfsa (float @var{a})
1589@deftypefnx {Runtime Function} {long accum} __fractsfda (float @var{a})
1590@deftypefnx {Runtime Function} {long long accum} __fractsfta (float @var{a})
1591@deftypefnx {Runtime Function} {unsigned short fract} __fractsfuqq (float @var{a})
1592@deftypefnx {Runtime Function} {unsigned fract} __fractsfuhq (float @var{a})
1593@deftypefnx {Runtime Function} {unsigned long fract} __fractsfusq (float @var{a})
1594@deftypefnx {Runtime Function} {unsigned long long fract} __fractsfudq (float @var{a})
1595@deftypefnx {Runtime Function} {unsigned short accum} __fractsfuha (float @var{a})
1596@deftypefnx {Runtime Function} {unsigned accum} __fractsfusa (float @var{a})
1597@deftypefnx {Runtime Function} {unsigned long accum} __fractsfuda (float @var{a})
1598@deftypefnx {Runtime Function} {unsigned long long accum} __fractsfuta (float @var{a})
1599@deftypefnx {Runtime Function} {short fract} __fractdfqq (double @var{a})
1600@deftypefnx {Runtime Function} {fract} __fractdfhq (double @var{a})
1601@deftypefnx {Runtime Function} {long fract} __fractdfsq (double @var{a})
1602@deftypefnx {Runtime Function} {long long fract} __fractdfdq (double @var{a})
1603@deftypefnx {Runtime Function} {short accum} __fractdfha (double @var{a})
1604@deftypefnx {Runtime Function} {accum} __fractdfsa (double @var{a})
1605@deftypefnx {Runtime Function} {long accum} __fractdfda (double @var{a})
1606@deftypefnx {Runtime Function} {long long accum} __fractdfta (double @var{a})
1607@deftypefnx {Runtime Function} {unsigned short fract} __fractdfuqq (double @var{a})
1608@deftypefnx {Runtime Function} {unsigned fract} __fractdfuhq (double @var{a})
1609@deftypefnx {Runtime Function} {unsigned long fract} __fractdfusq (double @var{a})
1610@deftypefnx {Runtime Function} {unsigned long long fract} __fractdfudq (double @var{a})
1611@deftypefnx {Runtime Function} {unsigned short accum} __fractdfuha (double @var{a})
1612@deftypefnx {Runtime Function} {unsigned accum} __fractdfusa (double @var{a})
1613@deftypefnx {Runtime Function} {unsigned long accum} __fractdfuda (double @var{a})
1614@deftypefnx {Runtime Function} {unsigned long long accum} __fractdfuta (double @var{a})
1615These functions convert from fractional and signed non-fractionals to
1616fractionals and signed non-fractionals, without saturation.
1617@end deftypefn
1618
1619@deftypefn {Runtime Function} {fract} __satfractqqhq2 (short fract @var{a})
1620@deftypefnx {Runtime Function} {long fract} __satfractqqsq2 (short fract @var{a})
1621@deftypefnx {Runtime Function} {long long fract} __satfractqqdq2 (short fract @var{a})
1622@deftypefnx {Runtime Function} {short accum} __satfractqqha (short fract @var{a})
1623@deftypefnx {Runtime Function} {accum} __satfractqqsa (short fract @var{a})
1624@deftypefnx {Runtime Function} {long accum} __satfractqqda (short fract @var{a})
1625@deftypefnx {Runtime Function} {long long accum} __satfractqqta (short fract @var{a})
1626@deftypefnx {Runtime Function} {unsigned short fract} __satfractqquqq (short fract @var{a})
1627@deftypefnx {Runtime Function} {unsigned fract} __satfractqquhq (short fract @var{a})
1628@deftypefnx {Runtime Function} {unsigned long fract} __satfractqqusq (short fract @var{a})
1629@deftypefnx {Runtime Function} {unsigned long long fract} __satfractqqudq (short fract @var{a})
1630@deftypefnx {Runtime Function} {unsigned short accum} __satfractqquha (short fract @var{a})
1631@deftypefnx {Runtime Function} {unsigned accum} __satfractqqusa (short fract @var{a})
1632@deftypefnx {Runtime Function} {unsigned long accum} __satfractqquda (short fract @var{a})
1633@deftypefnx {Runtime Function} {unsigned long long accum} __satfractqquta (short fract @var{a})
1634@deftypefnx {Runtime Function} {short fract} __satfracthqqq2 (fract @var{a})
1635@deftypefnx {Runtime Function} {long fract} __satfracthqsq2 (fract @var{a})
1636@deftypefnx {Runtime Function} {long long fract} __satfracthqdq2 (fract @var{a})
1637@deftypefnx {Runtime Function} {short accum} __satfracthqha (fract @var{a})
1638@deftypefnx {Runtime Function} {accum} __satfracthqsa (fract @var{a})
1639@deftypefnx {Runtime Function} {long accum} __satfracthqda (fract @var{a})
1640@deftypefnx {Runtime Function} {long long accum} __satfracthqta (fract @var{a})
1641@deftypefnx {Runtime Function} {unsigned short fract} __satfracthquqq (fract @var{a})
1642@deftypefnx {Runtime Function} {unsigned fract} __satfracthquhq (fract @var{a})
1643@deftypefnx {Runtime Function} {unsigned long fract} __satfracthqusq (fract @var{a})
1644@deftypefnx {Runtime Function} {unsigned long long fract} __satfracthqudq (fract @var{a})
1645@deftypefnx {Runtime Function} {unsigned short accum} __satfracthquha (fract @var{a})
1646@deftypefnx {Runtime Function} {unsigned accum} __satfracthqusa (fract @var{a})
1647@deftypefnx {Runtime Function} {unsigned long accum} __satfracthquda (fract @var{a})
1648@deftypefnx {Runtime Function} {unsigned long long accum} __satfracthquta (fract @var{a})
1649@deftypefnx {Runtime Function} {short fract} __satfractsqqq2 (long fract @var{a})
1650@deftypefnx {Runtime Function} {fract} __satfractsqhq2 (long fract @var{a})
1651@deftypefnx {Runtime Function} {long long fract} __satfractsqdq2 (long fract @var{a})
1652@deftypefnx {Runtime Function} {short accum} __satfractsqha (long fract @var{a})
1653@deftypefnx {Runtime Function} {accum} __satfractsqsa (long fract @var{a})
1654@deftypefnx {Runtime Function} {long accum} __satfractsqda (long fract @var{a})
1655@deftypefnx {Runtime Function} {long long accum} __satfractsqta (long fract @var{a})
1656@deftypefnx {Runtime Function} {unsigned short fract} __satfractsquqq (long fract @var{a})
1657@deftypefnx {Runtime Function} {unsigned fract} __satfractsquhq (long fract @var{a})
1658@deftypefnx {Runtime Function} {unsigned long fract} __satfractsqusq (long fract @var{a})
1659@deftypefnx {Runtime Function} {unsigned long long fract} __satfractsqudq (long fract @var{a})
1660@deftypefnx {Runtime Function} {unsigned short accum} __satfractsquha (long fract @var{a})
1661@deftypefnx {Runtime Function} {unsigned accum} __satfractsqusa (long fract @var{a})
1662@deftypefnx {Runtime Function} {unsigned long accum} __satfractsquda (long fract @var{a})
1663@deftypefnx {Runtime Function} {unsigned long long accum} __satfractsquta (long fract @var{a})
1664@deftypefnx {Runtime Function} {short fract} __satfractdqqq2 (long long fract @var{a})
1665@deftypefnx {Runtime Function} {fract} __satfractdqhq2 (long long fract @var{a})
1666@deftypefnx {Runtime Function} {long fract} __satfractdqsq2 (long long fract @var{a})
1667@deftypefnx {Runtime Function} {short accum} __satfractdqha (long long fract @var{a})
1668@deftypefnx {Runtime Function} {accum} __satfractdqsa (long long fract @var{a})
1669@deftypefnx {Runtime Function} {long accum} __satfractdqda (long long fract @var{a})
1670@deftypefnx {Runtime Function} {long long accum} __satfractdqta (long long fract @var{a})
1671@deftypefnx {Runtime Function} {unsigned short fract} __satfractdquqq (long long fract @var{a})
1672@deftypefnx {Runtime Function} {unsigned fract} __satfractdquhq (long long fract @var{a})
1673@deftypefnx {Runtime Function} {unsigned long fract} __satfractdqusq (long long fract @var{a})
1674@deftypefnx {Runtime Function} {unsigned long long fract} __satfractdqudq (long long fract @var{a})
1675@deftypefnx {Runtime Function} {unsigned short accum} __satfractdquha (long long fract @var{a})
1676@deftypefnx {Runtime Function} {unsigned accum} __satfractdqusa (long long fract @var{a})
1677@deftypefnx {Runtime Function} {unsigned long accum} __satfractdquda (long long fract @var{a})
1678@deftypefnx {Runtime Function} {unsigned long long accum} __satfractdquta (long long fract @var{a})
1679@deftypefnx {Runtime Function} {short fract} __satfracthaqq (short accum @var{a})
1680@deftypefnx {Runtime Function} {fract} __satfracthahq (short accum @var{a})
1681@deftypefnx {Runtime Function} {long fract} __satfracthasq (short accum @var{a})
1682@deftypefnx {Runtime Function} {long long fract} __satfracthadq (short accum @var{a})
1683@deftypefnx {Runtime Function} {accum} __satfracthasa2 (short accum @var{a})
1684@deftypefnx {Runtime Function} {long accum} __satfracthada2 (short accum @var{a})
1685@deftypefnx {Runtime Function} {long long accum} __satfracthata2 (short accum @var{a})
1686@deftypefnx {Runtime Function} {unsigned short fract} __satfracthauqq (short accum @var{a})
1687@deftypefnx {Runtime Function} {unsigned fract} __satfracthauhq (short accum @var{a})
1688@deftypefnx {Runtime Function} {unsigned long fract} __satfracthausq (short accum @var{a})
1689@deftypefnx {Runtime Function} {unsigned long long fract} __satfracthaudq (short accum @var{a})
1690@deftypefnx {Runtime Function} {unsigned short accum} __satfracthauha (short accum @var{a})
1691@deftypefnx {Runtime Function} {unsigned accum} __satfracthausa (short accum @var{a})
1692@deftypefnx {Runtime Function} {unsigned long accum} __satfracthauda (short accum @var{a})
1693@deftypefnx {Runtime Function} {unsigned long long accum} __satfracthauta (short accum @var{a})
1694@deftypefnx {Runtime Function} {short fract} __satfractsaqq (accum @var{a})
1695@deftypefnx {Runtime Function} {fract} __satfractsahq (accum @var{a})
1696@deftypefnx {Runtime Function} {long fract} __satfractsasq (accum @var{a})
1697@deftypefnx {Runtime Function} {long long fract} __satfractsadq (accum @var{a})
1698@deftypefnx {Runtime Function} {short accum} __satfractsaha2 (accum @var{a})
1699@deftypefnx {Runtime Function} {long accum} __satfractsada2 (accum @var{a})
1700@deftypefnx {Runtime Function} {long long accum} __satfractsata2 (accum @var{a})
1701@deftypefnx {Runtime Function} {unsigned short fract} __satfractsauqq (accum @var{a})
1702@deftypefnx {Runtime Function} {unsigned fract} __satfractsauhq (accum @var{a})
1703@deftypefnx {Runtime Function} {unsigned long fract} __satfractsausq (accum @var{a})
1704@deftypefnx {Runtime Function} {unsigned long long fract} __satfractsaudq (accum @var{a})
1705@deftypefnx {Runtime Function} {unsigned short accum} __satfractsauha (accum @var{a})
1706@deftypefnx {Runtime Function} {unsigned accum} __satfractsausa (accum @var{a})
1707@deftypefnx {Runtime Function} {unsigned long accum} __satfractsauda (accum @var{a})
1708@deftypefnx {Runtime Function} {unsigned long long accum} __satfractsauta (accum @var{a})
1709@deftypefnx {Runtime Function} {short fract} __satfractdaqq (long accum @var{a})
1710@deftypefnx {Runtime Function} {fract} __satfractdahq (long accum @var{a})
1711@deftypefnx {Runtime Function} {long fract} __satfractdasq (long accum @var{a})
1712@deftypefnx {Runtime Function} {long long fract} __satfractdadq (long accum @var{a})
1713@deftypefnx {Runtime Function} {short accum} __satfractdaha2 (long accum @var{a})
1714@deftypefnx {Runtime Function} {accum} __satfractdasa2 (long accum @var{a})
1715@deftypefnx {Runtime Function} {long long accum} __satfractdata2 (long accum @var{a})
1716@deftypefnx {Runtime Function} {unsigned short fract} __satfractdauqq (long accum @var{a})
1717@deftypefnx {Runtime Function} {unsigned fract} __satfractdauhq (long accum @var{a})
1718@deftypefnx {Runtime Function} {unsigned long fract} __satfractdausq (long accum @var{a})
1719@deftypefnx {Runtime Function} {unsigned long long fract} __satfractdaudq (long accum @var{a})
1720@deftypefnx {Runtime Function} {unsigned short accum} __satfractdauha (long accum @var{a})
1721@deftypefnx {Runtime Function} {unsigned accum} __satfractdausa (long accum @var{a})
1722@deftypefnx {Runtime Function} {unsigned long accum} __satfractdauda (long accum @var{a})
1723@deftypefnx {Runtime Function} {unsigned long long accum} __satfractdauta (long accum @var{a})
1724@deftypefnx {Runtime Function} {short fract} __satfracttaqq (long long accum @var{a})
1725@deftypefnx {Runtime Function} {fract} __satfracttahq (long long accum @var{a})
1726@deftypefnx {Runtime Function} {long fract} __satfracttasq (long long accum @var{a})
1727@deftypefnx {Runtime Function} {long long fract} __satfracttadq (long long accum @var{a})
1728@deftypefnx {Runtime Function} {short accum} __satfracttaha2 (long long accum @var{a})
1729@deftypefnx {Runtime Function} {accum} __satfracttasa2 (long long accum @var{a})
1730@deftypefnx {Runtime Function} {long accum} __satfracttada2 (long long accum @var{a})
1731@deftypefnx {Runtime Function} {unsigned short fract} __satfracttauqq (long long accum @var{a})
1732@deftypefnx {Runtime Function} {unsigned fract} __satfracttauhq (long long accum @var{a})
1733@deftypefnx {Runtime Function} {unsigned long fract} __satfracttausq (long long accum @var{a})
1734@deftypefnx {Runtime Function} {unsigned long long fract} __satfracttaudq (long long accum @var{a})
1735@deftypefnx {Runtime Function} {unsigned short accum} __satfracttauha (long long accum @var{a})
1736@deftypefnx {Runtime Function} {unsigned accum} __satfracttausa (long long accum @var{a})
1737@deftypefnx {Runtime Function} {unsigned long accum} __satfracttauda (long long accum @var{a})
1738@deftypefnx {Runtime Function} {unsigned long long accum} __satfracttauta (long long accum @var{a})
1739@deftypefnx {Runtime Function} {short fract} __satfractuqqqq (unsigned short fract @var{a})
1740@deftypefnx {Runtime Function} {fract} __satfractuqqhq (unsigned short fract @var{a})
1741@deftypefnx {Runtime Function} {long fract} __satfractuqqsq (unsigned short fract @var{a})
1742@deftypefnx {Runtime Function} {long long fract} __satfractuqqdq (unsigned short fract @var{a})
1743@deftypefnx {Runtime Function} {short accum} __satfractuqqha (unsigned short fract @var{a})
1744@deftypefnx {Runtime Function} {accum} __satfractuqqsa (unsigned short fract @var{a})
1745@deftypefnx {Runtime Function} {long accum} __satfractuqqda (unsigned short fract @var{a})
1746@deftypefnx {Runtime Function} {long long accum} __satfractuqqta (unsigned short fract @var{a})
1747@deftypefnx {Runtime Function} {unsigned fract} __satfractuqquhq2 (unsigned short fract @var{a})
1748@deftypefnx {Runtime Function} {unsigned long fract} __satfractuqqusq2 (unsigned short fract @var{a})
1749@deftypefnx {Runtime Function} {unsigned long long fract} __satfractuqqudq2 (unsigned short fract @var{a})
1750@deftypefnx {Runtime Function} {unsigned short accum} __satfractuqquha (unsigned short fract @var{a})
1751@deftypefnx {Runtime Function} {unsigned accum} __satfractuqqusa (unsigned short fract @var{a})
1752@deftypefnx {Runtime Function} {unsigned long accum} __satfractuqquda (unsigned short fract @var{a})
1753@deftypefnx {Runtime Function} {unsigned long long accum} __satfractuqquta (unsigned short fract @var{a})
1754@deftypefnx {Runtime Function} {short fract} __satfractuhqqq (unsigned fract @var{a})
1755@deftypefnx {Runtime Function} {fract} __satfractuhqhq (unsigned fract @var{a})
1756@deftypefnx {Runtime Function} {long fract} __satfractuhqsq (unsigned fract @var{a})
1757@deftypefnx {Runtime Function} {long long fract} __satfractuhqdq (unsigned fract @var{a})
1758@deftypefnx {Runtime Function} {short accum} __satfractuhqha (unsigned fract @var{a})
1759@deftypefnx {Runtime Function} {accum} __satfractuhqsa (unsigned fract @var{a})
1760@deftypefnx {Runtime Function} {long accum} __satfractuhqda (unsigned fract @var{a})
1761@deftypefnx {Runtime Function} {long long accum} __satfractuhqta (unsigned fract @var{a})
1762@deftypefnx {Runtime Function} {unsigned short fract} __satfractuhquqq2 (unsigned fract @var{a})
1763@deftypefnx {Runtime Function} {unsigned long fract} __satfractuhqusq2 (unsigned fract @var{a})
1764@deftypefnx {Runtime Function} {unsigned long long fract} __satfractuhqudq2 (unsigned fract @var{a})
1765@deftypefnx {Runtime Function} {unsigned short accum} __satfractuhquha (unsigned fract @var{a})
1766@deftypefnx {Runtime Function} {unsigned accum} __satfractuhqusa (unsigned fract @var{a})
1767@deftypefnx {Runtime Function} {unsigned long accum} __satfractuhquda (unsigned fract @var{a})
1768@deftypefnx {Runtime Function} {unsigned long long accum} __satfractuhquta (unsigned fract @var{a})
1769@deftypefnx {Runtime Function} {short fract} __satfractusqqq (unsigned long fract @var{a})
1770@deftypefnx {Runtime Function} {fract} __satfractusqhq (unsigned long fract @var{a})
1771@deftypefnx {Runtime Function} {long fract} __satfractusqsq (unsigned long fract @var{a})
1772@deftypefnx {Runtime Function} {long long fract} __satfractusqdq (unsigned long fract @var{a})
1773@deftypefnx {Runtime Function} {short accum} __satfractusqha (unsigned long fract @var{a})
1774@deftypefnx {Runtime Function} {accum} __satfractusqsa (unsigned long fract @var{a})
1775@deftypefnx {Runtime Function} {long accum} __satfractusqda (unsigned long fract @var{a})
1776@deftypefnx {Runtime Function} {long long accum} __satfractusqta (unsigned long fract @var{a})
1777@deftypefnx {Runtime Function} {unsigned short fract} __satfractusquqq2 (unsigned long fract @var{a})
1778@deftypefnx {Runtime Function} {unsigned fract} __satfractusquhq2 (unsigned long fract @var{a})
1779@deftypefnx {Runtime Function} {unsigned long long fract} __satfractusqudq2 (unsigned long fract @var{a})
1780@deftypefnx {Runtime Function} {unsigned short accum} __satfractusquha (unsigned long fract @var{a})
1781@deftypefnx {Runtime Function} {unsigned accum} __satfractusqusa (unsigned long fract @var{a})
1782@deftypefnx {Runtime Function} {unsigned long accum} __satfractusquda (unsigned long fract @var{a})
1783@deftypefnx {Runtime Function} {unsigned long long accum} __satfractusquta (unsigned long fract @var{a})
1784@deftypefnx {Runtime Function} {short fract} __satfractudqqq (unsigned long long fract @var{a})
1785@deftypefnx {Runtime Function} {fract} __satfractudqhq (unsigned long long fract @var{a})
1786@deftypefnx {Runtime Function} {long fract} __satfractudqsq (unsigned long long fract @var{a})
1787@deftypefnx {Runtime Function} {long long fract} __satfractudqdq (unsigned long long fract @var{a})
1788@deftypefnx {Runtime Function} {short accum} __satfractudqha (unsigned long long fract @var{a})
1789@deftypefnx {Runtime Function} {accum} __satfractudqsa (unsigned long long fract @var{a})
1790@deftypefnx {Runtime Function} {long accum} __satfractudqda (unsigned long long fract @var{a})
1791@deftypefnx {Runtime Function} {long long accum} __satfractudqta (unsigned long long fract @var{a})
1792@deftypefnx {Runtime Function} {unsigned short fract} __satfractudquqq2 (unsigned long long fract @var{a})
1793@deftypefnx {Runtime Function} {unsigned fract} __satfractudquhq2 (unsigned long long fract @var{a})
1794@deftypefnx {Runtime Function} {unsigned long fract} __satfractudqusq2 (unsigned long long fract @var{a})
1795@deftypefnx {Runtime Function} {unsigned short accum} __satfractudquha (unsigned long long fract @var{a})
1796@deftypefnx {Runtime Function} {unsigned accum} __satfractudqusa (unsigned long long fract @var{a})
1797@deftypefnx {Runtime Function} {unsigned long accum} __satfractudquda (unsigned long long fract @var{a})
1798@deftypefnx {Runtime Function} {unsigned long long accum} __satfractudquta (unsigned long long fract @var{a})
1799@deftypefnx {Runtime Function} {short fract} __satfractuhaqq (unsigned short accum @var{a})
1800@deftypefnx {Runtime Function} {fract} __satfractuhahq (unsigned short accum @var{a})
1801@deftypefnx {Runtime Function} {long fract} __satfractuhasq (unsigned short accum @var{a})
1802@deftypefnx {Runtime Function} {long long fract} __satfractuhadq (unsigned short accum @var{a})
1803@deftypefnx {Runtime Function} {short accum} __satfractuhaha (unsigned short accum @var{a})
1804@deftypefnx {Runtime Function} {accum} __satfractuhasa (unsigned short accum @var{a})
1805@deftypefnx {Runtime Function} {long accum} __satfractuhada (unsigned short accum @var{a})
1806@deftypefnx {Runtime Function} {long long accum} __satfractuhata (unsigned short accum @var{a})
1807@deftypefnx {Runtime Function} {unsigned short fract} __satfractuhauqq (unsigned short accum @var{a})
1808@deftypefnx {Runtime Function} {unsigned fract} __satfractuhauhq (unsigned short accum @var{a})
1809@deftypefnx {Runtime Function} {unsigned long fract} __satfractuhausq (unsigned short accum @var{a})
1810@deftypefnx {Runtime Function} {unsigned long long fract} __satfractuhaudq (unsigned short accum @var{a})
1811@deftypefnx {Runtime Function} {unsigned accum} __satfractuhausa2 (unsigned short accum @var{a})
1812@deftypefnx {Runtime Function} {unsigned long accum} __satfractuhauda2 (unsigned short accum @var{a})
1813@deftypefnx {Runtime Function} {unsigned long long accum} __satfractuhauta2 (unsigned short accum @var{a})
1814@deftypefnx {Runtime Function} {short fract} __satfractusaqq (unsigned accum @var{a})
1815@deftypefnx {Runtime Function} {fract} __satfractusahq (unsigned accum @var{a})
1816@deftypefnx {Runtime Function} {long fract} __satfractusasq (unsigned accum @var{a})
1817@deftypefnx {Runtime Function} {long long fract} __satfractusadq (unsigned accum @var{a})
1818@deftypefnx {Runtime Function} {short accum} __satfractusaha (unsigned accum @var{a})
1819@deftypefnx {Runtime Function} {accum} __satfractusasa (unsigned accum @var{a})
1820@deftypefnx {Runtime Function} {long accum} __satfractusada (unsigned accum @var{a})
1821@deftypefnx {Runtime Function} {long long accum} __satfractusata (unsigned accum @var{a})
1822@deftypefnx {Runtime Function} {unsigned short fract} __satfractusauqq (unsigned accum @var{a})
1823@deftypefnx {Runtime Function} {unsigned fract} __satfractusauhq (unsigned accum @var{a})
1824@deftypefnx {Runtime Function} {unsigned long fract} __satfractusausq (unsigned accum @var{a})
1825@deftypefnx {Runtime Function} {unsigned long long fract} __satfractusaudq (unsigned accum @var{a})
1826@deftypefnx {Runtime Function} {unsigned short accum} __satfractusauha2 (unsigned accum @var{a})
1827@deftypefnx {Runtime Function} {unsigned long accum} __satfractusauda2 (unsigned accum @var{a})
1828@deftypefnx {Runtime Function} {unsigned long long accum} __satfractusauta2 (unsigned accum @var{a})
1829@deftypefnx {Runtime Function} {short fract} __satfractudaqq (unsigned long accum @var{a})
1830@deftypefnx {Runtime Function} {fract} __satfractudahq (unsigned long accum @var{a})
1831@deftypefnx {Runtime Function} {long fract} __satfractudasq (unsigned long accum @var{a})
1832@deftypefnx {Runtime Function} {long long fract} __satfractudadq (unsigned long accum @var{a})
1833@deftypefnx {Runtime Function} {short accum} __satfractudaha (unsigned long accum @var{a})
1834@deftypefnx {Runtime Function} {accum} __satfractudasa (unsigned long accum @var{a})
1835@deftypefnx {Runtime Function} {long accum} __satfractudada (unsigned long accum @var{a})
1836@deftypefnx {Runtime Function} {long long accum} __satfractudata (unsigned long accum @var{a})
1837@deftypefnx {Runtime Function} {unsigned short fract} __satfractudauqq (unsigned long accum @var{a})
1838@deftypefnx {Runtime Function} {unsigned fract} __satfractudauhq (unsigned long accum @var{a})
1839@deftypefnx {Runtime Function} {unsigned long fract} __satfractudausq (unsigned long accum @var{a})
1840@deftypefnx {Runtime Function} {unsigned long long fract} __satfractudaudq (unsigned long accum @var{a})
1841@deftypefnx {Runtime Function} {unsigned short accum} __satfractudauha2 (unsigned long accum @var{a})
1842@deftypefnx {Runtime Function} {unsigned accum} __satfractudausa2 (unsigned long accum @var{a})
1843@deftypefnx {Runtime Function} {unsigned long long accum} __satfractudauta2 (unsigned long accum @var{a})
1844@deftypefnx {Runtime Function} {short fract} __satfractutaqq (unsigned long long accum @var{a})
1845@deftypefnx {Runtime Function} {fract} __satfractutahq (unsigned long long accum @var{a})
1846@deftypefnx {Runtime Function} {long fract} __satfractutasq (unsigned long long accum @var{a})
1847@deftypefnx {Runtime Function} {long long fract} __satfractutadq (unsigned long long accum @var{a})
1848@deftypefnx {Runtime Function} {short accum} __satfractutaha (unsigned long long accum @var{a})
1849@deftypefnx {Runtime Function} {accum} __satfractutasa (unsigned long long accum @var{a})
1850@deftypefnx {Runtime Function} {long accum} __satfractutada (unsigned long long accum @var{a})
1851@deftypefnx {Runtime Function} {long long accum} __satfractutata (unsigned long long accum @var{a})
1852@deftypefnx {Runtime Function} {unsigned short fract} __satfractutauqq (unsigned long long accum @var{a})
1853@deftypefnx {Runtime Function} {unsigned fract} __satfractutauhq (unsigned long long accum @var{a})
1854@deftypefnx {Runtime Function} {unsigned long fract} __satfractutausq (unsigned long long accum @var{a})
1855@deftypefnx {Runtime Function} {unsigned long long fract} __satfractutaudq (unsigned long long accum @var{a})
1856@deftypefnx {Runtime Function} {unsigned short accum} __satfractutauha2 (unsigned long long accum @var{a})
1857@deftypefnx {Runtime Function} {unsigned accum} __satfractutausa2 (unsigned long long accum @var{a})
1858@deftypefnx {Runtime Function} {unsigned long accum} __satfractutauda2 (unsigned long long accum @var{a})
1859@deftypefnx {Runtime Function} {short fract} __satfractqiqq (signed char @var{a})
1860@deftypefnx {Runtime Function} {fract} __satfractqihq (signed char @var{a})
1861@deftypefnx {Runtime Function} {long fract} __satfractqisq (signed char @var{a})
1862@deftypefnx {Runtime Function} {long long fract} __satfractqidq (signed char @var{a})
1863@deftypefnx {Runtime Function} {short accum} __satfractqiha (signed char @var{a})
1864@deftypefnx {Runtime Function} {accum} __satfractqisa (signed char @var{a})
1865@deftypefnx {Runtime Function} {long accum} __satfractqida (signed char @var{a})
1866@deftypefnx {Runtime Function} {long long accum} __satfractqita (signed char @var{a})
1867@deftypefnx {Runtime Function} {unsigned short fract} __satfractqiuqq (signed char @var{a})
1868@deftypefnx {Runtime Function} {unsigned fract} __satfractqiuhq (signed char @var{a})
1869@deftypefnx {Runtime Function} {unsigned long fract} __satfractqiusq (signed char @var{a})
1870@deftypefnx {Runtime Function} {unsigned long long fract} __satfractqiudq (signed char @var{a})
1871@deftypefnx {Runtime Function} {unsigned short accum} __satfractqiuha (signed char @var{a})
1872@deftypefnx {Runtime Function} {unsigned accum} __satfractqiusa (signed char @var{a})
1873@deftypefnx {Runtime Function} {unsigned long accum} __satfractqiuda (signed char @var{a})
1874@deftypefnx {Runtime Function} {unsigned long long accum} __satfractqiuta (signed char @var{a})
1875@deftypefnx {Runtime Function} {short fract} __satfracthiqq (short @var{a})
1876@deftypefnx {Runtime Function} {fract} __satfracthihq (short @var{a})
1877@deftypefnx {Runtime Function} {long fract} __satfracthisq (short @var{a})
1878@deftypefnx {Runtime Function} {long long fract} __satfracthidq (short @var{a})
1879@deftypefnx {Runtime Function} {short accum} __satfracthiha (short @var{a})
1880@deftypefnx {Runtime Function} {accum} __satfracthisa (short @var{a})
1881@deftypefnx {Runtime Function} {long accum} __satfracthida (short @var{a})
1882@deftypefnx {Runtime Function} {long long accum} __satfracthita (short @var{a})
1883@deftypefnx {Runtime Function} {unsigned short fract} __satfracthiuqq (short @var{a})
1884@deftypefnx {Runtime Function} {unsigned fract} __satfracthiuhq (short @var{a})
1885@deftypefnx {Runtime Function} {unsigned long fract} __satfracthiusq (short @var{a})
1886@deftypefnx {Runtime Function} {unsigned long long fract} __satfracthiudq (short @var{a})
1887@deftypefnx {Runtime Function} {unsigned short accum} __satfracthiuha (short @var{a})
1888@deftypefnx {Runtime Function} {unsigned accum} __satfracthiusa (short @var{a})
1889@deftypefnx {Runtime Function} {unsigned long accum} __satfracthiuda (short @var{a})
1890@deftypefnx {Runtime Function} {unsigned long long accum} __satfracthiuta (short @var{a})
1891@deftypefnx {Runtime Function} {short fract} __satfractsiqq (int @var{a})
1892@deftypefnx {Runtime Function} {fract} __satfractsihq (int @var{a})
1893@deftypefnx {Runtime Function} {long fract} __satfractsisq (int @var{a})
1894@deftypefnx {Runtime Function} {long long fract} __satfractsidq (int @var{a})
1895@deftypefnx {Runtime Function} {short accum} __satfractsiha (int @var{a})
1896@deftypefnx {Runtime Function} {accum} __satfractsisa (int @var{a})
1897@deftypefnx {Runtime Function} {long accum} __satfractsida (int @var{a})
1898@deftypefnx {Runtime Function} {long long accum} __satfractsita (int @var{a})
1899@deftypefnx {Runtime Function} {unsigned short fract} __satfractsiuqq (int @var{a})
1900@deftypefnx {Runtime Function} {unsigned fract} __satfractsiuhq (int @var{a})
1901@deftypefnx {Runtime Function} {unsigned long fract} __satfractsiusq (int @var{a})
1902@deftypefnx {Runtime Function} {unsigned long long fract} __satfractsiudq (int @var{a})
1903@deftypefnx {Runtime Function} {unsigned short accum} __satfractsiuha (int @var{a})
1904@deftypefnx {Runtime Function} {unsigned accum} __satfractsiusa (int @var{a})
1905@deftypefnx {Runtime Function} {unsigned long accum} __satfractsiuda (int @var{a})
1906@deftypefnx {Runtime Function} {unsigned long long accum} __satfractsiuta (int @var{a})
1907@deftypefnx {Runtime Function} {short fract} __satfractdiqq (long @var{a})
1908@deftypefnx {Runtime Function} {fract} __satfractdihq (long @var{a})
1909@deftypefnx {Runtime Function} {long fract} __satfractdisq (long @var{a})
1910@deftypefnx {Runtime Function} {long long fract} __satfractdidq (long @var{a})
1911@deftypefnx {Runtime Function} {short accum} __satfractdiha (long @var{a})
1912@deftypefnx {Runtime Function} {accum} __satfractdisa (long @var{a})
1913@deftypefnx {Runtime Function} {long accum} __satfractdida (long @var{a})
1914@deftypefnx {Runtime Function} {long long accum} __satfractdita (long @var{a})
1915@deftypefnx {Runtime Function} {unsigned short fract} __satfractdiuqq (long @var{a})
1916@deftypefnx {Runtime Function} {unsigned fract} __satfractdiuhq (long @var{a})
1917@deftypefnx {Runtime Function} {unsigned long fract} __satfractdiusq (long @var{a})
1918@deftypefnx {Runtime Function} {unsigned long long fract} __satfractdiudq (long @var{a})
1919@deftypefnx {Runtime Function} {unsigned short accum} __satfractdiuha (long @var{a})
1920@deftypefnx {Runtime Function} {unsigned accum} __satfractdiusa (long @var{a})
1921@deftypefnx {Runtime Function} {unsigned long accum} __satfractdiuda (long @var{a})
1922@deftypefnx {Runtime Function} {unsigned long long accum} __satfractdiuta (long @var{a})
1923@deftypefnx {Runtime Function} {short fract} __satfracttiqq (long long @var{a})
1924@deftypefnx {Runtime Function} {fract} __satfracttihq (long long @var{a})
1925@deftypefnx {Runtime Function} {long fract} __satfracttisq (long long @var{a})
1926@deftypefnx {Runtime Function} {long long fract} __satfracttidq (long long @var{a})
1927@deftypefnx {Runtime Function} {short accum} __satfracttiha (long long @var{a})
1928@deftypefnx {Runtime Function} {accum} __satfracttisa (long long @var{a})
1929@deftypefnx {Runtime Function} {long accum} __satfracttida (long long @var{a})
1930@deftypefnx {Runtime Function} {long long accum} __satfracttita (long long @var{a})
1931@deftypefnx {Runtime Function} {unsigned short fract} __satfracttiuqq (long long @var{a})
1932@deftypefnx {Runtime Function} {unsigned fract} __satfracttiuhq (long long @var{a})
1933@deftypefnx {Runtime Function} {unsigned long fract} __satfracttiusq (long long @var{a})
1934@deftypefnx {Runtime Function} {unsigned long long fract} __satfracttiudq (long long @var{a})
1935@deftypefnx {Runtime Function} {unsigned short accum} __satfracttiuha (long long @var{a})
1936@deftypefnx {Runtime Function} {unsigned accum} __satfracttiusa (long long @var{a})
1937@deftypefnx {Runtime Function} {unsigned long accum} __satfracttiuda (long long @var{a})
1938@deftypefnx {Runtime Function} {unsigned long long accum} __satfracttiuta (long long @var{a})
1939@deftypefnx {Runtime Function} {short fract} __satfractsfqq (float @var{a})
1940@deftypefnx {Runtime Function} {fract} __satfractsfhq (float @var{a})
1941@deftypefnx {Runtime Function} {long fract} __satfractsfsq (float @var{a})
1942@deftypefnx {Runtime Function} {long long fract} __satfractsfdq (float @var{a})
1943@deftypefnx {Runtime Function} {short accum} __satfractsfha (float @var{a})
1944@deftypefnx {Runtime Function} {accum} __satfractsfsa (float @var{a})
1945@deftypefnx {Runtime Function} {long accum} __satfractsfda (float @var{a})
1946@deftypefnx {Runtime Function} {long long accum} __satfractsfta (float @var{a})
1947@deftypefnx {Runtime Function} {unsigned short fract} __satfractsfuqq (float @var{a})
1948@deftypefnx {Runtime Function} {unsigned fract} __satfractsfuhq (float @var{a})
1949@deftypefnx {Runtime Function} {unsigned long fract} __satfractsfusq (float @var{a})
1950@deftypefnx {Runtime Function} {unsigned long long fract} __satfractsfudq (float @var{a})
1951@deftypefnx {Runtime Function} {unsigned short accum} __satfractsfuha (float @var{a})
1952@deftypefnx {Runtime Function} {unsigned accum} __satfractsfusa (float @var{a})
1953@deftypefnx {Runtime Function} {unsigned long accum} __satfractsfuda (float @var{a})
1954@deftypefnx {Runtime Function} {unsigned long long accum} __satfractsfuta (float @var{a})
1955@deftypefnx {Runtime Function} {short fract} __satfractdfqq (double @var{a})
1956@deftypefnx {Runtime Function} {fract} __satfractdfhq (double @var{a})
1957@deftypefnx {Runtime Function} {long fract} __satfractdfsq (double @var{a})
1958@deftypefnx {Runtime Function} {long long fract} __satfractdfdq (double @var{a})
1959@deftypefnx {Runtime Function} {short accum} __satfractdfha (double @var{a})
1960@deftypefnx {Runtime Function} {accum} __satfractdfsa (double @var{a})
1961@deftypefnx {Runtime Function} {long accum} __satfractdfda (double @var{a})
1962@deftypefnx {Runtime Function} {long long accum} __satfractdfta (double @var{a})
1963@deftypefnx {Runtime Function} {unsigned short fract} __satfractdfuqq (double @var{a})
1964@deftypefnx {Runtime Function} {unsigned fract} __satfractdfuhq (double @var{a})
1965@deftypefnx {Runtime Function} {unsigned long fract} __satfractdfusq (double @var{a})
1966@deftypefnx {Runtime Function} {unsigned long long fract} __satfractdfudq (double @var{a})
1967@deftypefnx {Runtime Function} {unsigned short accum} __satfractdfuha (double @var{a})
1968@deftypefnx {Runtime Function} {unsigned accum} __satfractdfusa (double @var{a})
1969@deftypefnx {Runtime Function} {unsigned long accum} __satfractdfuda (double @var{a})
1970@deftypefnx {Runtime Function} {unsigned long long accum} __satfractdfuta (double @var{a})
1971The functions convert from fractional and signed non-fractionals to
1972fractionals, with saturation.
1973@end deftypefn
1974
1975@deftypefn {Runtime Function} {unsigned char} __fractunsqqqi (short fract @var{a})
1976@deftypefnx {Runtime Function} {unsigned short} __fractunsqqhi (short fract @var{a})
1977@deftypefnx {Runtime Function} {unsigned int} __fractunsqqsi (short fract @var{a})
1978@deftypefnx {Runtime Function} {unsigned long} __fractunsqqdi (short fract @var{a})
1979@deftypefnx {Runtime Function} {unsigned long long} __fractunsqqti (short fract @var{a})
1980@deftypefnx {Runtime Function} {unsigned char} __fractunshqqi (fract @var{a})
1981@deftypefnx {Runtime Function} {unsigned short} __fractunshqhi (fract @var{a})
1982@deftypefnx {Runtime Function} {unsigned int} __fractunshqsi (fract @var{a})
1983@deftypefnx {Runtime Function} {unsigned long} __fractunshqdi (fract @var{a})
1984@deftypefnx {Runtime Function} {unsigned long long} __fractunshqti (fract @var{a})
1985@deftypefnx {Runtime Function} {unsigned char} __fractunssqqi (long fract @var{a})
1986@deftypefnx {Runtime Function} {unsigned short} __fractunssqhi (long fract @var{a})
1987@deftypefnx {Runtime Function} {unsigned int} __fractunssqsi (long fract @var{a})
1988@deftypefnx {Runtime Function} {unsigned long} __fractunssqdi (long fract @var{a})
1989@deftypefnx {Runtime Function} {unsigned long long} __fractunssqti (long fract @var{a})
1990@deftypefnx {Runtime Function} {unsigned char} __fractunsdqqi (long long fract @var{a})
1991@deftypefnx {Runtime Function} {unsigned short} __fractunsdqhi (long long fract @var{a})
1992@deftypefnx {Runtime Function} {unsigned int} __fractunsdqsi (long long fract @var{a})
1993@deftypefnx {Runtime Function} {unsigned long} __fractunsdqdi (long long fract @var{a})
1994@deftypefnx {Runtime Function} {unsigned long long} __fractunsdqti (long long fract @var{a})
1995@deftypefnx {Runtime Function} {unsigned char} __fractunshaqi (short accum @var{a})
1996@deftypefnx {Runtime Function} {unsigned short} __fractunshahi (short accum @var{a})
1997@deftypefnx {Runtime Function} {unsigned int} __fractunshasi (short accum @var{a})
1998@deftypefnx {Runtime Function} {unsigned long} __fractunshadi (short accum @var{a})
1999@deftypefnx {Runtime Function} {unsigned long long} __fractunshati (short accum @var{a})
2000@deftypefnx {Runtime Function} {unsigned char} __fractunssaqi (accum @var{a})
2001@deftypefnx {Runtime Function} {unsigned short} __fractunssahi (accum @var{a})
2002@deftypefnx {Runtime Function} {unsigned int} __fractunssasi (accum @var{a})
2003@deftypefnx {Runtime Function} {unsigned long} __fractunssadi (accum @var{a})
2004@deftypefnx {Runtime Function} {unsigned long long} __fractunssati (accum @var{a})
2005@deftypefnx {Runtime Function} {unsigned char} __fractunsdaqi (long accum @var{a})
2006@deftypefnx {Runtime Function} {unsigned short} __fractunsdahi (long accum @var{a})
2007@deftypefnx {Runtime Function} {unsigned int} __fractunsdasi (long accum @var{a})
2008@deftypefnx {Runtime Function} {unsigned long} __fractunsdadi (long accum @var{a})
2009@deftypefnx {Runtime Function} {unsigned long long} __fractunsdati (long accum @var{a})
2010@deftypefnx {Runtime Function} {unsigned char} __fractunstaqi (long long accum @var{a})
2011@deftypefnx {Runtime Function} {unsigned short} __fractunstahi (long long accum @var{a})
2012@deftypefnx {Runtime Function} {unsigned int} __fractunstasi (long long accum @var{a})
2013@deftypefnx {Runtime Function} {unsigned long} __fractunstadi (long long accum @var{a})
2014@deftypefnx {Runtime Function} {unsigned long long} __fractunstati (long long accum @var{a})
2015@deftypefnx {Runtime Function} {unsigned char} __fractunsuqqqi (unsigned short fract @var{a})
2016@deftypefnx {Runtime Function} {unsigned short} __fractunsuqqhi (unsigned short fract @var{a})
2017@deftypefnx {Runtime Function} {unsigned int} __fractunsuqqsi (unsigned short fract @var{a})
2018@deftypefnx {Runtime Function} {unsigned long} __fractunsuqqdi (unsigned short fract @var{a})
2019@deftypefnx {Runtime Function} {unsigned long long} __fractunsuqqti (unsigned short fract @var{a})
2020@deftypefnx {Runtime Function} {unsigned char} __fractunsuhqqi (unsigned fract @var{a})
2021@deftypefnx {Runtime Function} {unsigned short} __fractunsuhqhi (unsigned fract @var{a})
2022@deftypefnx {Runtime Function} {unsigned int} __fractunsuhqsi (unsigned fract @var{a})
2023@deftypefnx {Runtime Function} {unsigned long} __fractunsuhqdi (unsigned fract @var{a})
2024@deftypefnx {Runtime Function} {unsigned long long} __fractunsuhqti (unsigned fract @var{a})
2025@deftypefnx {Runtime Function} {unsigned char} __fractunsusqqi (unsigned long fract @var{a})
2026@deftypefnx {Runtime Function} {unsigned short} __fractunsusqhi (unsigned long fract @var{a})
2027@deftypefnx {Runtime Function} {unsigned int} __fractunsusqsi (unsigned long fract @var{a})
2028@deftypefnx {Runtime Function} {unsigned long} __fractunsusqdi (unsigned long fract @var{a})
2029@deftypefnx {Runtime Function} {unsigned long long} __fractunsusqti (unsigned long fract @var{a})
2030@deftypefnx {Runtime Function} {unsigned char} __fractunsudqqi (unsigned long long fract @var{a})
2031@deftypefnx {Runtime Function} {unsigned short} __fractunsudqhi (unsigned long long fract @var{a})
2032@deftypefnx {Runtime Function} {unsigned int} __fractunsudqsi (unsigned long long fract @var{a})
2033@deftypefnx {Runtime Function} {unsigned long} __fractunsudqdi (unsigned long long fract @var{a})
2034@deftypefnx {Runtime Function} {unsigned long long} __fractunsudqti (unsigned long long fract @var{a})
2035@deftypefnx {Runtime Function} {unsigned char} __fractunsuhaqi (unsigned short accum @var{a})
2036@deftypefnx {Runtime Function} {unsigned short} __fractunsuhahi (unsigned short accum @var{a})
2037@deftypefnx {Runtime Function} {unsigned int} __fractunsuhasi (unsigned short accum @var{a})
2038@deftypefnx {Runtime Function} {unsigned long} __fractunsuhadi (unsigned short accum @var{a})
2039@deftypefnx {Runtime Function} {unsigned long long} __fractunsuhati (unsigned short accum @var{a})
2040@deftypefnx {Runtime Function} {unsigned char} __fractunsusaqi (unsigned accum @var{a})
2041@deftypefnx {Runtime Function} {unsigned short} __fractunsusahi (unsigned accum @var{a})
2042@deftypefnx {Runtime Function} {unsigned int} __fractunsusasi (unsigned accum @var{a})
2043@deftypefnx {Runtime Function} {unsigned long} __fractunsusadi (unsigned accum @var{a})
2044@deftypefnx {Runtime Function} {unsigned long long} __fractunsusati (unsigned accum @var{a})
2045@deftypefnx {Runtime Function} {unsigned char} __fractunsudaqi (unsigned long accum @var{a})
2046@deftypefnx {Runtime Function} {unsigned short} __fractunsudahi (unsigned long accum @var{a})
2047@deftypefnx {Runtime Function} {unsigned int} __fractunsudasi (unsigned long accum @var{a})
2048@deftypefnx {Runtime Function} {unsigned long} __fractunsudadi (unsigned long accum @var{a})
2049@deftypefnx {Runtime Function} {unsigned long long} __fractunsudati (unsigned long accum @var{a})
2050@deftypefnx {Runtime Function} {unsigned char} __fractunsutaqi (unsigned long long accum @var{a})
2051@deftypefnx {Runtime Function} {unsigned short} __fractunsutahi (unsigned long long accum @var{a})
2052@deftypefnx {Runtime Function} {unsigned int} __fractunsutasi (unsigned long long accum @var{a})
2053@deftypefnx {Runtime Function} {unsigned long} __fractunsutadi (unsigned long long accum @var{a})
2054@deftypefnx {Runtime Function} {unsigned long long} __fractunsutati (unsigned long long accum @var{a})
2055@deftypefnx {Runtime Function} {short fract} __fractunsqiqq (unsigned char @var{a})
2056@deftypefnx {Runtime Function} {fract} __fractunsqihq (unsigned char @var{a})
2057@deftypefnx {Runtime Function} {long fract} __fractunsqisq (unsigned char @var{a})
2058@deftypefnx {Runtime Function} {long long fract} __fractunsqidq (unsigned char @var{a})
2059@deftypefnx {Runtime Function} {short accum} __fractunsqiha (unsigned char @var{a})
2060@deftypefnx {Runtime Function} {accum} __fractunsqisa (unsigned char @var{a})
2061@deftypefnx {Runtime Function} {long accum} __fractunsqida (unsigned char @var{a})
2062@deftypefnx {Runtime Function} {long long accum} __fractunsqita (unsigned char @var{a})
2063@deftypefnx {Runtime Function} {unsigned short fract} __fractunsqiuqq (unsigned char @var{a})
2064@deftypefnx {Runtime Function} {unsigned fract} __fractunsqiuhq (unsigned char @var{a})
2065@deftypefnx {Runtime Function} {unsigned long fract} __fractunsqiusq (unsigned char @var{a})
2066@deftypefnx {Runtime Function} {unsigned long long fract} __fractunsqiudq (unsigned char @var{a})
2067@deftypefnx {Runtime Function} {unsigned short accum} __fractunsqiuha (unsigned char @var{a})
2068@deftypefnx {Runtime Function} {unsigned accum} __fractunsqiusa (unsigned char @var{a})
2069@deftypefnx {Runtime Function} {unsigned long accum} __fractunsqiuda (unsigned char @var{a})
2070@deftypefnx {Runtime Function} {unsigned long long accum} __fractunsqiuta (unsigned char @var{a})
2071@deftypefnx {Runtime Function} {short fract} __fractunshiqq (unsigned short @var{a})
2072@deftypefnx {Runtime Function} {fract} __fractunshihq (unsigned short @var{a})
2073@deftypefnx {Runtime Function} {long fract} __fractunshisq (unsigned short @var{a})
2074@deftypefnx {Runtime Function} {long long fract} __fractunshidq (unsigned short @var{a})
2075@deftypefnx {Runtime Function} {short accum} __fractunshiha (unsigned short @var{a})
2076@deftypefnx {Runtime Function} {accum} __fractunshisa (unsigned short @var{a})
2077@deftypefnx {Runtime Function} {long accum} __fractunshida (unsigned short @var{a})
2078@deftypefnx {Runtime Function} {long long accum} __fractunshita (unsigned short @var{a})
2079@deftypefnx {Runtime Function} {unsigned short fract} __fractunshiuqq (unsigned short @var{a})
2080@deftypefnx {Runtime Function} {unsigned fract} __fractunshiuhq (unsigned short @var{a})
2081@deftypefnx {Runtime Function} {unsigned long fract} __fractunshiusq (unsigned short @var{a})
2082@deftypefnx {Runtime Function} {unsigned long long fract} __fractunshiudq (unsigned short @var{a})
2083@deftypefnx {Runtime Function} {unsigned short accum} __fractunshiuha (unsigned short @var{a})
2084@deftypefnx {Runtime Function} {unsigned accum} __fractunshiusa (unsigned short @var{a})
2085@deftypefnx {Runtime Function} {unsigned long accum} __fractunshiuda (unsigned short @var{a})
2086@deftypefnx {Runtime Function} {unsigned long long accum} __fractunshiuta (unsigned short @var{a})
2087@deftypefnx {Runtime Function} {short fract} __fractunssiqq (unsigned int @var{a})
2088@deftypefnx {Runtime Function} {fract} __fractunssihq (unsigned int @var{a})
2089@deftypefnx {Runtime Function} {long fract} __fractunssisq (unsigned int @var{a})
2090@deftypefnx {Runtime Function} {long long fract} __fractunssidq (unsigned int @var{a})
2091@deftypefnx {Runtime Function} {short accum} __fractunssiha (unsigned int @var{a})
2092@deftypefnx {Runtime Function} {accum} __fractunssisa (unsigned int @var{a})
2093@deftypefnx {Runtime Function} {long accum} __fractunssida (unsigned int @var{a})
2094@deftypefnx {Runtime Function} {long long accum} __fractunssita (unsigned int @var{a})
2095@deftypefnx {Runtime Function} {unsigned short fract} __fractunssiuqq (unsigned int @var{a})
2096@deftypefnx {Runtime Function} {unsigned fract} __fractunssiuhq (unsigned int @var{a})
2097@deftypefnx {Runtime Function} {unsigned long fract} __fractunssiusq (unsigned int @var{a})
2098@deftypefnx {Runtime Function} {unsigned long long fract} __fractunssiudq (unsigned int @var{a})
2099@deftypefnx {Runtime Function} {unsigned short accum} __fractunssiuha (unsigned int @var{a})
2100@deftypefnx {Runtime Function} {unsigned accum} __fractunssiusa (unsigned int @var{a})
2101@deftypefnx {Runtime Function} {unsigned long accum} __fractunssiuda (unsigned int @var{a})
2102@deftypefnx {Runtime Function} {unsigned long long accum} __fractunssiuta (unsigned int @var{a})
2103@deftypefnx {Runtime Function} {short fract} __fractunsdiqq (unsigned long @var{a})
2104@deftypefnx {Runtime Function} {fract} __fractunsdihq (unsigned long @var{a})
2105@deftypefnx {Runtime Function} {long fract} __fractunsdisq (unsigned long @var{a})
2106@deftypefnx {Runtime Function} {long long fract} __fractunsdidq (unsigned long @var{a})
2107@deftypefnx {Runtime Function} {short accum} __fractunsdiha (unsigned long @var{a})
2108@deftypefnx {Runtime Function} {accum} __fractunsdisa (unsigned long @var{a})
2109@deftypefnx {Runtime Function} {long accum} __fractunsdida (unsigned long @var{a})
2110@deftypefnx {Runtime Function} {long long accum} __fractunsdita (unsigned long @var{a})
2111@deftypefnx {Runtime Function} {unsigned short fract} __fractunsdiuqq (unsigned long @var{a})
2112@deftypefnx {Runtime Function} {unsigned fract} __fractunsdiuhq (unsigned long @var{a})
2113@deftypefnx {Runtime Function} {unsigned long fract} __fractunsdiusq (unsigned long @var{a})
2114@deftypefnx {Runtime Function} {unsigned long long fract} __fractunsdiudq (unsigned long @var{a})
2115@deftypefnx {Runtime Function} {unsigned short accum} __fractunsdiuha (unsigned long @var{a})
2116@deftypefnx {Runtime Function} {unsigned accum} __fractunsdiusa (unsigned long @var{a})
2117@deftypefnx {Runtime Function} {unsigned long accum} __fractunsdiuda (unsigned long @var{a})
2118@deftypefnx {Runtime Function} {unsigned long long accum} __fractunsdiuta (unsigned long @var{a})
2119@deftypefnx {Runtime Function} {short fract} __fractunstiqq (unsigned long long @var{a})
2120@deftypefnx {Runtime Function} {fract} __fractunstihq (unsigned long long @var{a})
2121@deftypefnx {Runtime Function} {long fract} __fractunstisq (unsigned long long @var{a})
2122@deftypefnx {Runtime Function} {long long fract} __fractunstidq (unsigned long long @var{a})
2123@deftypefnx {Runtime Function} {short accum} __fractunstiha (unsigned long long @var{a})
2124@deftypefnx {Runtime Function} {accum} __fractunstisa (unsigned long long @var{a})
2125@deftypefnx {Runtime Function} {long accum} __fractunstida (unsigned long long @var{a})
2126@deftypefnx {Runtime Function} {long long accum} __fractunstita (unsigned long long @var{a})
2127@deftypefnx {Runtime Function} {unsigned short fract} __fractunstiuqq (unsigned long long @var{a})
2128@deftypefnx {Runtime Function} {unsigned fract} __fractunstiuhq (unsigned long long @var{a})
2129@deftypefnx {Runtime Function} {unsigned long fract} __fractunstiusq (unsigned long long @var{a})
2130@deftypefnx {Runtime Function} {unsigned long long fract} __fractunstiudq (unsigned long long @var{a})
2131@deftypefnx {Runtime Function} {unsigned short accum} __fractunstiuha (unsigned long long @var{a})
2132@deftypefnx {Runtime Function} {unsigned accum} __fractunstiusa (unsigned long long @var{a})
2133@deftypefnx {Runtime Function} {unsigned long accum} __fractunstiuda (unsigned long long @var{a})
2134@deftypefnx {Runtime Function} {unsigned long long accum} __fractunstiuta (unsigned long long @var{a})
2135These functions convert from fractionals to unsigned non-fractionals;
2136and from unsigned non-fractionals to fractionals, without saturation.
2137@end deftypefn
2138
2139@deftypefn {Runtime Function} {short fract} __satfractunsqiqq (unsigned char @var{a})
2140@deftypefnx {Runtime Function} {fract} __satfractunsqihq (unsigned char @var{a})
2141@deftypefnx {Runtime Function} {long fract} __satfractunsqisq (unsigned char @var{a})
2142@deftypefnx {Runtime Function} {long long fract} __satfractunsqidq (unsigned char @var{a})
2143@deftypefnx {Runtime Function} {short accum} __satfractunsqiha (unsigned char @var{a})
2144@deftypefnx {Runtime Function} {accum} __satfractunsqisa (unsigned char @var{a})
2145@deftypefnx {Runtime Function} {long accum} __satfractunsqida (unsigned char @var{a})
2146@deftypefnx {Runtime Function} {long long accum} __satfractunsqita (unsigned char @var{a})
2147@deftypefnx {Runtime Function} {unsigned short fract} __satfractunsqiuqq (unsigned char @var{a})
2148@deftypefnx {Runtime Function} {unsigned fract} __satfractunsqiuhq (unsigned char @var{a})
2149@deftypefnx {Runtime Function} {unsigned long fract} __satfractunsqiusq (unsigned char @var{a})
2150@deftypefnx {Runtime Function} {unsigned long long fract} __satfractunsqiudq (unsigned char @var{a})
2151@deftypefnx {Runtime Function} {unsigned short accum} __satfractunsqiuha (unsigned char @var{a})
2152@deftypefnx {Runtime Function} {unsigned accum} __satfractunsqiusa (unsigned char @var{a})
2153@deftypefnx {Runtime Function} {unsigned long accum} __satfractunsqiuda (unsigned char @var{a})
2154@deftypefnx {Runtime Function} {unsigned long long accum} __satfractunsqiuta (unsigned char @var{a})
2155@deftypefnx {Runtime Function} {short fract} __satfractunshiqq (unsigned short @var{a})
2156@deftypefnx {Runtime Function} {fract} __satfractunshihq (unsigned short @var{a})
2157@deftypefnx {Runtime Function} {long fract} __satfractunshisq (unsigned short @var{a})
2158@deftypefnx {Runtime Function} {long long fract} __satfractunshidq (unsigned short @var{a})
2159@deftypefnx {Runtime Function} {short accum} __satfractunshiha (unsigned short @var{a})
2160@deftypefnx {Runtime Function} {accum} __satfractunshisa (unsigned short @var{a})
2161@deftypefnx {Runtime Function} {long accum} __satfractunshida (unsigned short @var{a})
2162@deftypefnx {Runtime Function} {long long accum} __satfractunshita (unsigned short @var{a})
2163@deftypefnx {Runtime Function} {unsigned short fract} __satfractunshiuqq (unsigned short @var{a})
2164@deftypefnx {Runtime Function} {unsigned fract} __satfractunshiuhq (unsigned short @var{a})
2165@deftypefnx {Runtime Function} {unsigned long fract} __satfractunshiusq (unsigned short @var{a})
2166@deftypefnx {Runtime Function} {unsigned long long fract} __satfractunshiudq (unsigned short @var{a})
2167@deftypefnx {Runtime Function} {unsigned short accum} __satfractunshiuha (unsigned short @var{a})
2168@deftypefnx {Runtime Function} {unsigned accum} __satfractunshiusa (unsigned short @var{a})
2169@deftypefnx {Runtime Function} {unsigned long accum} __satfractunshiuda (unsigned short @var{a})
2170@deftypefnx {Runtime Function} {unsigned long long accum} __satfractunshiuta (unsigned short @var{a})
2171@deftypefnx {Runtime Function} {short fract} __satfractunssiqq (unsigned int @var{a})
2172@deftypefnx {Runtime Function} {fract} __satfractunssihq (unsigned int @var{a})
2173@deftypefnx {Runtime Function} {long fract} __satfractunssisq (unsigned int @var{a})
2174@deftypefnx {Runtime Function} {long long fract} __satfractunssidq (unsigned int @var{a})
2175@deftypefnx {Runtime Function} {short accum} __satfractunssiha (unsigned int @var{a})
2176@deftypefnx {Runtime Function} {accum} __satfractunssisa (unsigned int @var{a})
2177@deftypefnx {Runtime Function} {long accum} __satfractunssida (unsigned int @var{a})
2178@deftypefnx {Runtime Function} {long long accum} __satfractunssita (unsigned int @var{a})
2179@deftypefnx {Runtime Function} {unsigned short fract} __satfractunssiuqq (unsigned int @var{a})
2180@deftypefnx {Runtime Function} {unsigned fract} __satfractunssiuhq (unsigned int @var{a})
2181@deftypefnx {Runtime Function} {unsigned long fract} __satfractunssiusq (unsigned int @var{a})
2182@deftypefnx {Runtime Function} {unsigned long long fract} __satfractunssiudq (unsigned int @var{a})
2183@deftypefnx {Runtime Function} {unsigned short accum} __satfractunssiuha (unsigned int @var{a})
2184@deftypefnx {Runtime Function} {unsigned accum} __satfractunssiusa (unsigned int @var{a})
2185@deftypefnx {Runtime Function} {unsigned long accum} __satfractunssiuda (unsigned int @var{a})
2186@deftypefnx {Runtime Function} {unsigned long long accum} __satfractunssiuta (unsigned int @var{a})
2187@deftypefnx {Runtime Function} {short fract} __satfractunsdiqq (unsigned long @var{a})
2188@deftypefnx {Runtime Function} {fract} __satfractunsdihq (unsigned long @var{a})
2189@deftypefnx {Runtime Function} {long fract} __satfractunsdisq (unsigned long @var{a})
2190@deftypefnx {Runtime Function} {long long fract} __satfractunsdidq (unsigned long @var{a})
2191@deftypefnx {Runtime Function} {short accum} __satfractunsdiha (unsigned long @var{a})
2192@deftypefnx {Runtime Function} {accum} __satfractunsdisa (unsigned long @var{a})
2193@deftypefnx {Runtime Function} {long accum} __satfractunsdida (unsigned long @var{a})
2194@deftypefnx {Runtime Function} {long long accum} __satfractunsdita (unsigned long @var{a})
2195@deftypefnx {Runtime Function} {unsigned short fract} __satfractunsdiuqq (unsigned long @var{a})
2196@deftypefnx {Runtime Function} {unsigned fract} __satfractunsdiuhq (unsigned long @var{a})
2197@deftypefnx {Runtime Function} {unsigned long fract} __satfractunsdiusq (unsigned long @var{a})
2198@deftypefnx {Runtime Function} {unsigned long long fract} __satfractunsdiudq (unsigned long @var{a})
2199@deftypefnx {Runtime Function} {unsigned short accum} __satfractunsdiuha (unsigned long @var{a})
2200@deftypefnx {Runtime Function} {unsigned accum} __satfractunsdiusa (unsigned long @var{a})
2201@deftypefnx {Runtime Function} {unsigned long accum} __satfractunsdiuda (unsigned long @var{a})
2202@deftypefnx {Runtime Function} {unsigned long long accum} __satfractunsdiuta (unsigned long @var{a})
2203@deftypefnx {Runtime Function} {short fract} __satfractunstiqq (unsigned long long @var{a})
2204@deftypefnx {Runtime Function} {fract} __satfractunstihq (unsigned long long @var{a})
2205@deftypefnx {Runtime Function} {long fract} __satfractunstisq (unsigned long long @var{a})
2206@deftypefnx {Runtime Function} {long long fract} __satfractunstidq (unsigned long long @var{a})
2207@deftypefnx {Runtime Function} {short accum} __satfractunstiha (unsigned long long @var{a})
2208@deftypefnx {Runtime Function} {accum} __satfractunstisa (unsigned long long @var{a})
2209@deftypefnx {Runtime Function} {long accum} __satfractunstida (unsigned long long @var{a})
2210@deftypefnx {Runtime Function} {long long accum} __satfractunstita (unsigned long long @var{a})
2211@deftypefnx {Runtime Function} {unsigned short fract} __satfractunstiuqq (unsigned long long @var{a})
2212@deftypefnx {Runtime Function} {unsigned fract} __satfractunstiuhq (unsigned long long @var{a})
2213@deftypefnx {Runtime Function} {unsigned long fract} __satfractunstiusq (unsigned long long @var{a})
2214@deftypefnx {Runtime Function} {unsigned long long fract} __satfractunstiudq (unsigned long long @var{a})
2215@deftypefnx {Runtime Function} {unsigned short accum} __satfractunstiuha (unsigned long long @var{a})
2216@deftypefnx {Runtime Function} {unsigned accum} __satfractunstiusa (unsigned long long @var{a})
2217@deftypefnx {Runtime Function} {unsigned long accum} __satfractunstiuda (unsigned long long @var{a})
2218@deftypefnx {Runtime Function} {unsigned long long accum} __satfractunstiuta (unsigned long long @var{a})
2219These functions convert from unsigned non-fractionals to fractionals,
2220with saturation.
2221@end deftypefn
2222
2223@node Exception handling routines
2224@section Language-independent routines for exception handling
2225
2226document me!
2227
2228@smallexample
2229  _Unwind_DeleteException
2230  _Unwind_Find_FDE
2231  _Unwind_ForcedUnwind
2232  _Unwind_GetGR
2233  _Unwind_GetIP
2234  _Unwind_GetLanguageSpecificData
2235  _Unwind_GetRegionStart
2236  _Unwind_GetTextRelBase
2237  _Unwind_GetDataRelBase
2238  _Unwind_RaiseException
2239  _Unwind_Resume
2240  _Unwind_SetGR
2241  _Unwind_SetIP
2242  _Unwind_FindEnclosingFunction
2243  _Unwind_SjLj_Register
2244  _Unwind_SjLj_Unregister
2245  _Unwind_SjLj_RaiseException
2246  _Unwind_SjLj_ForcedUnwind
2247  _Unwind_SjLj_Resume
2248  __deregister_frame
2249  __deregister_frame_info
2250  __deregister_frame_info_bases
2251  __register_frame
2252  __register_frame_info
2253  __register_frame_info_bases
2254  __register_frame_info_table
2255  __register_frame_info_table_bases
2256  __register_frame_table
2257@end smallexample
2258
2259@node Miscellaneous routines
2260@section Miscellaneous runtime library routines
2261
2262@subsection Cache control functions
2263@deftypefn {Runtime Function} void __clear_cache (char *@var{beg}, char *@var{end})
2264This function clears the instruction cache between @var{beg} and @var{end}.
2265@end deftypefn
2266
2267@subsection Split stack functions and variables
2268@deftypefn {Runtime Function} {void *} __splitstack_find (void *@var{segment_arg}, @
2269void *@var{sp}, size_t @var{len}, void **@var{next_segment}, @
2270void **@var{next_sp}, void **@var{initial_sp})
2271When using @option{-fsplit-stack}, this call may be used to iterate
2272over the stack segments.  It may be called like this:
2273@smallexample
2274  void *next_segment = NULL;
2275  void *next_sp = NULL;
2276  void *initial_sp = NULL;
2277  void *stack;
2278  size_t stack_size;
2279  while ((stack = __splitstack_find (next_segment, next_sp,
2280                                     &stack_size, &next_segment,
2281                                     &next_sp, &initial_sp))
2282         != NULL)
2283    @{
2284      /* Stack segment starts at stack and is
2285         stack_size bytes long.  */
2286    @}
2287@end smallexample
2288
2289There is no way to iterate over the stack segments of a different
2290thread.  However, what is permitted is for one thread to call this
2291with the @var{segment_arg} and @var{sp} arguments NULL, to pass
2292@var{next_segment}, @var{next_sp}, and @var{initial_sp} to a different
2293thread, and then to suspend one way or another.  A different thread
2294may run the subsequent @code{__splitstack_find} iterations.  Of
2295course, this will only work if the first thread is suspended while the
2296second thread is calling @code{__splitstack_find}.  If not, the second
2297thread could be looking at the stack while it is changing, and
2298anything could happen.
2299@end deftypefn
2300
2301@defvar __morestack_segments
2302@defvarx __morestack_current_segment
2303@defvarx __morestack_initial_sp
2304Internal variables used by the @option{-fsplit-stack} implementation.
2305@end defvar
2306