4.4 Routines for fixed-point fractional emulation
The software fixed-point library implements fixed-point fractional
arithmetic, and is only activated on selected targets.
 
For ease of comprehension fract is an alias for the
_Fract type, accum an alias for _Accum, and
sat an alias for _Sat.
 
For illustrative purposes, in this section the fixed-point fractional type
short fract is assumed to correspond to machine mode QQmode;
unsigned short fract to UQQmode;
fract to HQmode;
unsigned fract to UHQmode;
long fract to SQmode;
unsigned long fract to USQmode;
long long fract to DQmode;
and unsigned long long fract to UDQmode. 
Similarly the fixed-point accumulator type
short accum corresponds to HAmode;
unsigned short accum to UHAmode;
accum to SAmode;
unsigned accum to USAmode;
long accum to DAmode;
unsigned long accum to UDAmode;
long long accum to TAmode;
and unsigned long long accum to UTAmode.
4.4.1 Arithmetic functions
— Runtime Function: short fract 
__addqq3 (
short fract a, short fract b)
— Runtime Function: fract 
__addhq3 (
fract a, fract b)
— Runtime Function: long fract 
__addsq3 (
long fract a, long fract b)
— Runtime Function: long long fract 
__adddq3 (
long long fract a, long long fract b)
— Runtime Function: unsigned short fract 
__adduqq3 (
unsigned short fract a, unsigned short fract b)
— Runtime Function: unsigned fract 
__adduhq3 (
unsigned fract a, unsigned fract b)
— Runtime Function: unsigned long fract 
__addusq3 (
unsigned long fract a, unsigned long fract b)
— Runtime Function: unsigned long long fract 
__addudq3 (
unsigned long long fract a, unsigned long long fract b)
— Runtime Function: short accum 
__addha3 (
short accum a, short accum b)
— Runtime Function: accum 
__addsa3 (
accum a, accum b)
— Runtime Function: long accum 
__addda3 (
long accum a, long accum b)
— Runtime Function: long long accum 
__addta3 (
long long accum a, long long accum b)
— Runtime Function: unsigned short accum 
__adduha3 (
unsigned short accum a, unsigned short accum b)
— Runtime Function: unsigned accum 
__addusa3 (
unsigned accum a, unsigned accum b)
— Runtime Function: unsigned long accum 
__adduda3 (
unsigned long accum a, unsigned long accum b)
— Runtime Function: unsigned long long accum 
__adduta3 (
unsigned long long accum a, unsigned long long accum b)
These functions return the sum of a and b. 
— Runtime Function: short fract 
__ssaddqq3 (
short fract a, short fract b)
— Runtime Function: fract 
__ssaddhq3 (
fract a, fract b)
— Runtime Function: long fract 
__ssaddsq3 (
long fract a, long fract b)
— Runtime Function: long long fract 
__ssadddq3 (
long long fract a, long long fract b)
— Runtime Function: short accum 
__ssaddha3 (
short accum a, short accum b)
— Runtime Function: accum 
__ssaddsa3 (
accum a, accum b)
— Runtime Function: long accum 
__ssaddda3 (
long accum a, long accum b)
— Runtime Function: long long accum 
__ssaddta3 (
long long accum a, long long accum b)
These functions return the sum of a and b with signed saturation. 
— Runtime Function: unsigned short fract 
__usadduqq3 (
unsigned short fract a, unsigned short fract b)
— Runtime Function: unsigned fract 
__usadduhq3 (
unsigned fract a, unsigned fract b)
— Runtime Function: unsigned long fract 
__usaddusq3 (
unsigned long fract a, unsigned long fract b)
— Runtime Function: unsigned long long fract 
__usaddudq3 (
unsigned long long fract a, unsigned long long fract b)
— Runtime Function: unsigned short accum 
__usadduha3 (
unsigned short accum a, unsigned short accum b)
— Runtime Function: unsigned accum 
__usaddusa3 (
unsigned accum a, unsigned accum b)
— Runtime Function: unsigned long accum 
__usadduda3 (
unsigned long accum a, unsigned long accum b)
— Runtime Function: unsigned long long accum 
__usadduta3 (
unsigned long long accum a, unsigned long long accum b)
These functions return the sum of a and b with unsigned saturation. 
— Runtime Function: short fract 
__subqq3 (
short fract a, short fract b)
— Runtime Function: fract 
__subhq3 (
fract a, fract b)
— Runtime Function: long fract 
__subsq3 (
long fract a, long fract b)
— Runtime Function: long long fract 
__subdq3 (
long long fract a, long long fract b)
— Runtime Function: unsigned short fract 
__subuqq3 (
unsigned short fract a, unsigned short fract b)
— Runtime Function: unsigned fract 
__subuhq3 (
unsigned fract a, unsigned fract b)
— Runtime Function: unsigned long fract 
__subusq3 (
unsigned long fract a, unsigned long fract b)
— Runtime Function: unsigned long long fract 
__subudq3 (
unsigned long long fract a, unsigned long long fract b)
— Runtime Function: short accum 
__subha3 (
short accum a, short accum b)
— Runtime Function: accum 
__subsa3 (
accum a, accum b)
— Runtime Function: long accum 
__subda3 (
long accum a, long accum b)
— Runtime Function: long long accum 
__subta3 (
long long accum a, long long accum b)
— Runtime Function: unsigned short accum 
__subuha3 (
unsigned short accum a, unsigned short accum b)
— Runtime Function: unsigned accum 
__subusa3 (
unsigned accum a, unsigned accum b)
— Runtime Function: unsigned long accum 
__subuda3 (
unsigned long accum a, unsigned long accum b)
— Runtime Function: unsigned long long accum 
__subuta3 (
unsigned long long accum a, unsigned long long accum b)
These functions return the difference of a and b;
that is, a - b. 
— Runtime Function: short fract 
__sssubqq3 (
short fract a, short fract b)
— Runtime Function: fract 
__sssubhq3 (
fract a, fract b)
— Runtime Function: long fract 
__sssubsq3 (
long fract a, long fract b)
— Runtime Function: long long fract 
__sssubdq3 (
long long fract a, long long fract b)
— Runtime Function: short accum 
__sssubha3 (
short accum a, short accum b)
— Runtime Function: accum 
__sssubsa3 (
accum a, accum b)
— Runtime Function: long accum 
__sssubda3 (
long accum a, long accum b)
— Runtime Function: long long accum 
__sssubta3 (
long long accum a, long long accum b)
These functions return the difference of a and b with signed
saturation;  that is, a - b. 
— Runtime Function: unsigned short fract 
__ussubuqq3 (
unsigned short fract a, unsigned short fract b)
— Runtime Function: unsigned fract 
__ussubuhq3 (
unsigned fract a, unsigned fract b)
— Runtime Function: unsigned long fract 
__ussubusq3 (
unsigned long fract a, unsigned long fract b)
— Runtime Function: unsigned long long fract 
__ussubudq3 (
unsigned long long fract a, unsigned long long fract b)
— Runtime Function: unsigned short accum 
__ussubuha3 (
unsigned short accum a, unsigned short accum b)
— Runtime Function: unsigned accum 
__ussubusa3 (
unsigned accum a, unsigned accum b)
— Runtime Function: unsigned long accum 
__ussubuda3 (
unsigned long accum a, unsigned long accum b)
— Runtime Function: unsigned long long accum 
__ussubuta3 (
unsigned long long accum a, unsigned long long accum b)
These functions return the difference of a and b with unsigned
saturation;  that is, a - b. 
— Runtime Function: short fract 
__mulqq3 (
short fract a, short fract b)
— Runtime Function: fract 
__mulhq3 (
fract a, fract b)
— Runtime Function: long fract 
__mulsq3 (
long fract a, long fract b)
— Runtime Function: long long fract 
__muldq3 (
long long fract a, long long fract b)
— Runtime Function: unsigned short fract 
__muluqq3 (
unsigned short fract a, unsigned short fract b)
— Runtime Function: unsigned fract 
__muluhq3 (
unsigned fract a, unsigned fract b)
— Runtime Function: unsigned long fract 
__mulusq3 (
unsigned long fract a, unsigned long fract b)
— Runtime Function: unsigned long long fract 
__muludq3 (
unsigned long long fract a, unsigned long long fract b)
— Runtime Function: short accum 
__mulha3 (
short accum a, short accum b)
— Runtime Function: accum 
__mulsa3 (
accum a, accum b)
— Runtime Function: long accum 
__mulda3 (
long accum a, long accum b)
— Runtime Function: long long accum 
__multa3 (
long long accum a, long long accum b)
— Runtime Function: unsigned short accum 
__muluha3 (
unsigned short accum a, unsigned short accum b)
— Runtime Function: unsigned accum 
__mulusa3 (
unsigned accum a, unsigned accum b)
— Runtime Function: unsigned long accum 
__muluda3 (
unsigned long accum a, unsigned long accum b)
— Runtime Function: unsigned long long accum 
__muluta3 (
unsigned long long accum a, unsigned long long accum b)
These functions return the product of a and b. 
— Runtime Function: short fract 
__ssmulqq3 (
short fract a, short fract b)
— Runtime Function: fract 
__ssmulhq3 (
fract a, fract b)
— Runtime Function: long fract 
__ssmulsq3 (
long fract a, long fract b)
— Runtime Function: long long fract 
__ssmuldq3 (
long long fract a, long long fract b)
— Runtime Function: short accum 
__ssmulha3 (
short accum a, short accum b)
— Runtime Function: accum 
__ssmulsa3 (
accum a, accum b)
— Runtime Function: long accum 
__ssmulda3 (
long accum a, long accum b)
— Runtime Function: long long accum 
__ssmulta3 (
long long accum a, long long accum b)
These functions return the product of a and b with signed
saturation. 
— Runtime Function: unsigned short fract 
__usmuluqq3 (
unsigned short fract a, unsigned short fract b)
— Runtime Function: unsigned fract 
__usmuluhq3 (
unsigned fract a, unsigned fract b)
— Runtime Function: unsigned long fract 
__usmulusq3 (
unsigned long fract a, unsigned long fract b)
— Runtime Function: unsigned long long fract 
__usmuludq3 (
unsigned long long fract a, unsigned long long fract b)
— Runtime Function: unsigned short accum 
__usmuluha3 (
unsigned short accum a, unsigned short accum b)
— Runtime Function: unsigned accum 
__usmulusa3 (
unsigned accum a, unsigned accum b)
— Runtime Function: unsigned long accum 
__usmuluda3 (
unsigned long accum a, unsigned long accum b)
— Runtime Function: unsigned long long accum 
__usmuluta3 (
unsigned long long accum a, unsigned long long accum b)
These functions return the product of a and b with unsigned
saturation. 
— Runtime Function: short fract 
__divqq3 (
short fract a, short fract b)
— Runtime Function: fract 
__divhq3 (
fract a, fract b)
— Runtime Function: long fract 
__divsq3 (
long fract a, long fract b)
— Runtime Function: long long fract 
__divdq3 (
long long fract a, long long fract b)
— Runtime Function: short accum 
__divha3 (
short accum a, short accum b)
— Runtime Function: accum 
__divsa3 (
accum a, accum b)
— Runtime Function: long accum 
__divda3 (
long accum a, long accum b)
— Runtime Function: long long accum 
__divta3 (
long long accum a, long long accum b)
These functions return the quotient of the signed division of a
and b. 
— Runtime Function: unsigned short fract 
__udivuqq3 (
unsigned short fract a, unsigned short fract b)
— Runtime Function: unsigned fract 
__udivuhq3 (
unsigned fract a, unsigned fract b)
— Runtime Function: unsigned long fract 
__udivusq3 (
unsigned long fract a, unsigned long fract b)
— Runtime Function: unsigned long long fract 
__udivudq3 (
unsigned long long fract a, unsigned long long fract b)
— Runtime Function: unsigned short accum 
__udivuha3 (
unsigned short accum a, unsigned short accum b)
— Runtime Function: unsigned accum 
__udivusa3 (
unsigned accum a, unsigned accum b)
— Runtime Function: unsigned long accum 
__udivuda3 (
unsigned long accum a, unsigned long accum b)
— Runtime Function: unsigned long long accum 
__udivuta3 (
unsigned long long accum a, unsigned long long accum b)
These functions return the quotient of the unsigned division of a
and b. 
— Runtime Function: short fract 
__ssdivqq3 (
short fract a, short fract b)
— Runtime Function: fract 
__ssdivhq3 (
fract a, fract b)
— Runtime Function: long fract 
__ssdivsq3 (
long fract a, long fract b)
— Runtime Function: long long fract 
__ssdivdq3 (
long long fract a, long long fract b)
— Runtime Function: short accum 
__ssdivha3 (
short accum a, short accum b)
— Runtime Function: accum 
__ssdivsa3 (
accum a, accum b)
— Runtime Function: long accum 
__ssdivda3 (
long accum a, long accum b)
— Runtime Function: long long accum 
__ssdivta3 (
long long accum a, long long accum b)
These functions return the quotient of the signed division of a
and b with signed saturation. 
— Runtime Function: unsigned short fract 
__usdivuqq3 (
unsigned short fract a, unsigned short fract b)
— Runtime Function: unsigned fract 
__usdivuhq3 (
unsigned fract a, unsigned fract b)
— Runtime Function: unsigned long fract 
__usdivusq3 (
unsigned long fract a, unsigned long fract b)
— Runtime Function: unsigned long long fract 
__usdivudq3 (
unsigned long long fract a, unsigned long long fract b)
— Runtime Function: unsigned short accum 
__usdivuha3 (
unsigned short accum a, unsigned short accum b)
— Runtime Function: unsigned accum 
__usdivusa3 (
unsigned accum a, unsigned accum b)
— Runtime Function: unsigned long accum 
__usdivuda3 (
unsigned long accum a, unsigned long accum b)
— Runtime Function: unsigned long long accum 
__usdivuta3 (
unsigned long long accum a, unsigned long long accum b)
These functions return the quotient of the unsigned division of a
and b with unsigned saturation. 
— Runtime Function: short fract 
__negqq2 (
short fract a)
— Runtime Function: fract 
__neghq2 (
fract a)
— Runtime Function: long fract 
__negsq2 (
long fract a)
— Runtime Function: long long fract 
__negdq2 (
long long fract a)
— Runtime Function: unsigned short fract 
__neguqq2 (
unsigned short fract a)
— Runtime Function: unsigned fract 
__neguhq2 (
unsigned fract a)
— Runtime Function: unsigned long fract 
__negusq2 (
unsigned long fract a)
— Runtime Function: unsigned long long fract 
__negudq2 (
unsigned long long fract a)
— Runtime Function: short accum 
__negha2 (
short accum a)
— Runtime Function: accum 
__negsa2 (
accum a)
— Runtime Function: long accum 
__negda2 (
long accum a)
— Runtime Function: long long accum 
__negta2 (
long long accum a)
— Runtime Function: unsigned short accum 
__neguha2 (
unsigned short accum a)
— Runtime Function: unsigned accum 
__negusa2 (
unsigned accum a)
— Runtime Function: unsigned long accum 
__neguda2 (
unsigned long accum a)
— Runtime Function: unsigned long long accum 
__neguta2 (
unsigned long long accum a)
These functions return the negation of a. 
— Runtime Function: short fract 
__ssnegqq2 (
short fract a)
— Runtime Function: fract 
__ssneghq2 (
fract a)
— Runtime Function: long fract 
__ssnegsq2 (
long fract a)
— Runtime Function: long long fract 
__ssnegdq2 (
long long fract a)
— Runtime Function: short accum 
__ssnegha2 (
short accum a)
— Runtime Function: accum 
__ssnegsa2 (
accum a)
— Runtime Function: long accum 
__ssnegda2 (
long accum a)
— Runtime Function: long long accum 
__ssnegta2 (
long long accum a)
These functions return the negation of a with signed saturation. 
— Runtime Function: unsigned short fract 
__usneguqq2 (
unsigned short fract a)
— Runtime Function: unsigned fract 
__usneguhq2 (
unsigned fract a)
— Runtime Function: unsigned long fract 
__usnegusq2 (
unsigned long fract a)
— Runtime Function: unsigned long long fract 
__usnegudq2 (
unsigned long long fract a)
— Runtime Function: unsigned short accum 
__usneguha2 (
unsigned short accum a)
— Runtime Function: unsigned accum 
__usnegusa2 (
unsigned accum a)
— Runtime Function: unsigned long accum 
__usneguda2 (
unsigned long accum a)
— Runtime Function: unsigned long long accum 
__usneguta2 (
unsigned long long accum a)
These functions return the negation of a with unsigned saturation. 
— Runtime Function: short fract 
__ashlqq3 (
short fract a, int b)
— Runtime Function: fract 
__ashlhq3 (
fract a, int b)
— Runtime Function: long fract 
__ashlsq3 (
long fract a, int b)
— Runtime Function: long long fract 
__ashldq3 (
long long fract a, int b)
— Runtime Function: unsigned short fract 
__ashluqq3 (
unsigned short fract a, int b)
— Runtime Function: unsigned fract 
__ashluhq3 (
unsigned fract a, int b)
— Runtime Function: unsigned long fract 
__ashlusq3 (
unsigned long fract a, int b)
— Runtime Function: unsigned long long fract 
__ashludq3 (
unsigned long long fract a, int b)
— Runtime Function: short accum 
__ashlha3 (
short accum a, int b)
— Runtime Function: accum 
__ashlsa3 (
accum a, int b)
— Runtime Function: long accum 
__ashlda3 (
long accum a, int b)
— Runtime Function: long long accum 
__ashlta3 (
long long accum a, int b)
— Runtime Function: unsigned short accum 
__ashluha3 (
unsigned short accum a, int b)
— Runtime Function: unsigned accum 
__ashlusa3 (
unsigned accum a, int b)
— Runtime Function: unsigned long accum 
__ashluda3 (
unsigned long accum a, int b)
— Runtime Function: unsigned long long accum 
__ashluta3 (
unsigned long long accum a, int b)
These functions return the result of shifting a left by b bits. 
— Runtime Function: short fract 
__ashrqq3 (
short fract a, int b)
— Runtime Function: fract 
__ashrhq3 (
fract a, int b)
— Runtime Function: long fract 
__ashrsq3 (
long fract a, int b)
— Runtime Function: long long fract 
__ashrdq3 (
long long fract a, int b)
— Runtime Function: short accum 
__ashrha3 (
short accum a, int b)
— Runtime Function: accum 
__ashrsa3 (
accum a, int b)
— Runtime Function: long accum 
__ashrda3 (
long accum a, int b)
— Runtime Function: long long accum 
__ashrta3 (
long long accum a, int b)
These functions return the result of arithmetically shifting a right
by b bits. 
— Runtime Function: unsigned short fract 
__lshruqq3 (
unsigned short fract a, int b)
— Runtime Function: unsigned fract 
__lshruhq3 (
unsigned fract a, int b)
— Runtime Function: unsigned long fract 
__lshrusq3 (
unsigned long fract a, int b)
— Runtime Function: unsigned long long fract 
__lshrudq3 (
unsigned long long fract a, int b)
— Runtime Function: unsigned short accum 
__lshruha3 (
unsigned short accum a, int b)
— Runtime Function: unsigned accum 
__lshrusa3 (
unsigned accum a, int b)
— Runtime Function: unsigned long accum 
__lshruda3 (
unsigned long accum a, int b)
— Runtime Function: unsigned long long accum 
__lshruta3 (
unsigned long long accum a, int b)
These functions return the result of logically shifting a right
by b bits. 
— Runtime Function: fract 
__ssashlhq3 (
fract a, int b)
— Runtime Function: long fract 
__ssashlsq3 (
long fract a, int b)
— Runtime Function: long long fract 
__ssashldq3 (
long long fract a, int b)
— Runtime Function: short accum 
__ssashlha3 (
short accum a, int b)
— Runtime Function: accum 
__ssashlsa3 (
accum a, int b)
— Runtime Function: long accum 
__ssashlda3 (
long accum a, int b)
— Runtime Function: long long accum 
__ssashlta3 (
long long accum a, int b)
These functions return the result of shifting a left by b bits
with signed saturation. 
— Runtime Function: unsigned short fract 
__usashluqq3 (
unsigned short fract a, int b)
— Runtime Function: unsigned fract 
__usashluhq3 (
unsigned fract a, int b)
— Runtime Function: unsigned long fract 
__usashlusq3 (
unsigned long fract a, int b)
— Runtime Function: unsigned long long fract 
__usashludq3 (
unsigned long long fract a, int b)
— Runtime Function: unsigned short accum 
__usashluha3 (
unsigned short accum a, int b)
— Runtime Function: unsigned accum 
__usashlusa3 (
unsigned accum a, int b)
— Runtime Function: unsigned long accum 
__usashluda3 (
unsigned long accum a, int b)
— Runtime Function: unsigned long long accum 
__usashluta3 (
unsigned long long accum a, int b)
These functions return the result of shifting a left by b bits
with unsigned saturation. 
4.4.2 Comparison functions
The following functions implement fixed-point comparisons.  These functions
implement a low-level compare, upon which the higher level comparison
operators (such as less than and greater than or equal to) can be
constructed.  The returned values lie in the range zero to two, to allow
the high-level operators to be implemented by testing the returned
result using either signed or unsigned comparison.
— Runtime Function: int 
__cmpqq2 (
short fract a, short fract b)
— Runtime Function: int 
__cmphq2 (
fract a, fract b)
— Runtime Function: int 
__cmpsq2 (
long fract a, long fract b)
— Runtime Function: int 
__cmpdq2 (
long long fract a, long long fract b)
— Runtime Function: int 
__cmpuqq2 (
unsigned short fract a, unsigned short fract b)
— Runtime Function: int 
__cmpuhq2 (
unsigned fract a, unsigned fract b)
— Runtime Function: int 
__cmpusq2 (
unsigned long fract a, unsigned long fract b)
— Runtime Function: int 
__cmpudq2 (
unsigned long long fract a, unsigned long long fract b)
— Runtime Function: int 
__cmpha2 (
short accum a, short accum b)
— Runtime Function: int 
__cmpsa2 (
accum a, accum b)
— Runtime Function: int 
__cmpda2 (
long accum a, long accum b)
— Runtime Function: int 
__cmpta2 (
long long accum a, long long accum b)
— Runtime Function: int 
__cmpuha2 (
unsigned short accum a, unsigned short accum b)
— Runtime Function: int 
__cmpusa2 (
unsigned accum a, unsigned accum b)
— Runtime Function: int 
__cmpuda2 (
unsigned long accum a, unsigned long accum b)
— Runtime Function: int 
__cmputa2 (
unsigned long long accum a, unsigned long long accum b)
These functions perform a signed or unsigned comparison of a and
b (depending on the selected machine mode).  If a is less
than b, they return 0; if a is greater than b, they
return 2; and if a and b are equal they return 1. 
4.4.3 Conversion functions
— Runtime Function: fract 
__fractqqhq2 (
short fract a)
— Runtime Function: long fract 
__fractqqsq2 (
short fract a)
— Runtime Function: long long fract 
__fractqqdq2 (
short fract a)
— Runtime Function: short accum 
__fractqqha (
short fract a)
— Runtime Function: accum 
__fractqqsa (
short fract a)
— Runtime Function: long accum 
__fractqqda (
short fract a)
— Runtime Function: long long accum 
__fractqqta (
short fract a)
— Runtime Function: unsigned short fract 
__fractqquqq (
short fract a)
— Runtime Function: unsigned fract 
__fractqquhq (
short fract a)
— Runtime Function: unsigned long fract 
__fractqqusq (
short fract a)
— Runtime Function: unsigned long long fract 
__fractqqudq (
short fract a)
— Runtime Function: unsigned short accum 
__fractqquha (
short fract a)
— Runtime Function: unsigned accum 
__fractqqusa (
short fract a)
— Runtime Function: unsigned long accum 
__fractqquda (
short fract a)
— Runtime Function: unsigned long long accum 
__fractqquta (
short fract a)
— Runtime Function: signed char 
__fractqqqi (
short fract a)
— Runtime Function: short 
__fractqqhi (
short fract a)
— Runtime Function: int 
__fractqqsi (
short fract a)
— Runtime Function: long 
__fractqqdi (
short fract a)
— Runtime Function: long long 
__fractqqti (
short fract a)
— Runtime Function: float 
__fractqqsf (
short fract a)
— Runtime Function: double 
__fractqqdf (
short fract a)
— Runtime Function: short fract 
__fracthqqq2 (
fract a)
— Runtime Function: long fract 
__fracthqsq2 (
fract a)
— Runtime Function: long long fract 
__fracthqdq2 (
fract a)
— Runtime Function: short accum 
__fracthqha (
fract a)
— Runtime Function: accum 
__fracthqsa (
fract a)
— Runtime Function: long accum 
__fracthqda (
fract a)
— Runtime Function: long long accum 
__fracthqta (
fract a)
— Runtime Function: unsigned short fract 
__fracthquqq (
fract a)
— Runtime Function: unsigned fract 
__fracthquhq (
fract a)
— Runtime Function: unsigned long fract 
__fracthqusq (
fract a)
— Runtime Function: unsigned long long fract 
__fracthqudq (
fract a)
— Runtime Function: unsigned short accum 
__fracthquha (
fract a)
— Runtime Function: unsigned accum 
__fracthqusa (
fract a)
— Runtime Function: unsigned long accum 
__fracthquda (
fract a)
— Runtime Function: unsigned long long accum 
__fracthquta (
fract a)
— Runtime Function: signed char 
__fracthqqi (
fract a)
— Runtime Function: short 
__fracthqhi (
fract a)
— Runtime Function: int 
__fracthqsi (
fract a)
— Runtime Function: long 
__fracthqdi (
fract a)
— Runtime Function: long long 
__fracthqti (
fract a)
— Runtime Function: float 
__fracthqsf (
fract a)
— Runtime Function: double 
__fracthqdf (
fract a)
— Runtime Function: short fract 
__fractsqqq2 (
long fract a)
— Runtime Function: fract 
__fractsqhq2 (
long fract a)
— Runtime Function: long long fract 
__fractsqdq2 (
long fract a)
— Runtime Function: short accum 
__fractsqha (
long fract a)
— Runtime Function: accum 
__fractsqsa (
long fract a)
— Runtime Function: long accum 
__fractsqda (
long fract a)
— Runtime Function: long long accum 
__fractsqta (
long fract a)
— Runtime Function: unsigned short fract 
__fractsquqq (
long fract a)
— Runtime Function: unsigned fract 
__fractsquhq (
long fract a)
— Runtime Function: unsigned long fract 
__fractsqusq (
long fract a)
— Runtime Function: unsigned long long fract 
__fractsqudq (
long fract a)
— Runtime Function: unsigned short accum 
__fractsquha (
long fract a)
— Runtime Function: unsigned accum 
__fractsqusa (
long fract a)
— Runtime Function: unsigned long accum 
__fractsquda (
long fract a)
— Runtime Function: unsigned long long accum 
__fractsquta (
long fract a)
— Runtime Function: signed char 
__fractsqqi (
long fract a)
— Runtime Function: short 
__fractsqhi (
long fract a)
— Runtime Function: int 
__fractsqsi (
long fract a)
— Runtime Function: long 
__fractsqdi (
long fract a)
— Runtime Function: long long 
__fractsqti (
long fract a)
— Runtime Function: float 
__fractsqsf (
long fract a)
— Runtime Function: double 
__fractsqdf (
long fract a)
— Runtime Function: short fract 
__fractdqqq2 (
long long fract a)
— Runtime Function: fract 
__fractdqhq2 (
long long fract a)
— Runtime Function: long fract 
__fractdqsq2 (
long long fract a)
— Runtime Function: short accum 
__fractdqha (
long long fract a)
— Runtime Function: accum 
__fractdqsa (
long long fract a)
— Runtime Function: long accum 
__fractdqda (
long long fract a)
— Runtime Function: long long accum 
__fractdqta (
long long fract a)
— Runtime Function: unsigned short fract 
__fractdquqq (
long long fract a)
— Runtime Function: unsigned fract 
__fractdquhq (
long long fract a)
— Runtime Function: unsigned long fract 
__fractdqusq (
long long fract a)
— Runtime Function: unsigned long long fract 
__fractdqudq (
long long fract a)
— Runtime Function: unsigned short accum 
__fractdquha (
long long fract a)
— Runtime Function: unsigned accum 
__fractdqusa (
long long fract a)
— Runtime Function: unsigned long accum 
__fractdquda (
long long fract a)
— Runtime Function: unsigned long long accum 
__fractdquta (
long long fract a)
— Runtime Function: signed char 
__fractdqqi (
long long fract a)
— Runtime Function: short 
__fractdqhi (
long long fract a)
— Runtime Function: int 
__fractdqsi (
long long fract a)
— Runtime Function: long 
__fractdqdi (
long long fract a)
— Runtime Function: long long 
__fractdqti (
long long fract a)
— Runtime Function: float 
__fractdqsf (
long long fract a)
— Runtime Function: double 
__fractdqdf (
long long fract a)
— Runtime Function: short fract 
__fracthaqq (
short accum a)
— Runtime Function: fract 
__fracthahq (
short accum a)
— Runtime Function: long fract 
__fracthasq (
short accum a)
— Runtime Function: long long fract 
__fracthadq (
short accum a)
— Runtime Function: accum 
__fracthasa2 (
short accum a)
— Runtime Function: long accum 
__fracthada2 (
short accum a)
— Runtime Function: long long accum 
__fracthata2 (
short accum a)
— Runtime Function: unsigned short fract 
__fracthauqq (
short accum a)
— Runtime Function: unsigned fract 
__fracthauhq (
short accum a)
— Runtime Function: unsigned long fract 
__fracthausq (
short accum a)
— Runtime Function: unsigned long long fract 
__fracthaudq (
short accum a)
— Runtime Function: unsigned short accum 
__fracthauha (
short accum a)
— Runtime Function: unsigned accum 
__fracthausa (
short accum a)
— Runtime Function: unsigned long accum 
__fracthauda (
short accum a)
— Runtime Function: unsigned long long accum 
__fracthauta (
short accum a)
— Runtime Function: signed char 
__fracthaqi (
short accum a)
— Runtime Function: short 
__fracthahi (
short accum a)
— Runtime Function: int 
__fracthasi (
short accum a)
— Runtime Function: long 
__fracthadi (
short accum a)
— Runtime Function: long long 
__fracthati (
short accum a)
— Runtime Function: float 
__fracthasf (
short accum a)
— Runtime Function: double 
__fracthadf (
short accum a)
— Runtime Function: short fract 
__fractsaqq (
accum a)
— Runtime Function: fract 
__fractsahq (
accum a)
— Runtime Function: long fract 
__fractsasq (
accum a)
— Runtime Function: long long fract 
__fractsadq (
accum a)
— Runtime Function: short accum 
__fractsaha2 (
accum a)
— Runtime Function: long accum 
__fractsada2 (
accum a)
— Runtime Function: long long accum 
__fractsata2 (
accum a)
— Runtime Function: unsigned short fract 
__fractsauqq (
accum a)
— Runtime Function: unsigned fract 
__fractsauhq (
accum a)
— Runtime Function: unsigned long fract 
__fractsausq (
accum a)
— Runtime Function: unsigned long long fract 
__fractsaudq (
accum a)
— Runtime Function: unsigned short accum 
__fractsauha (
accum a)
— Runtime Function: unsigned accum 
__fractsausa (
accum a)
— Runtime Function: unsigned long accum 
__fractsauda (
accum a)
— Runtime Function: unsigned long long accum 
__fractsauta (
accum a)
— Runtime Function: signed char 
__fractsaqi (
accum a)
— Runtime Function: short 
__fractsahi (
accum a)
— Runtime Function: int 
__fractsasi (
accum a)
— Runtime Function: long 
__fractsadi (
accum a)
— Runtime Function: long long 
__fractsati (
accum a)
— Runtime Function: float 
__fractsasf (
accum a)
— Runtime Function: double 
__fractsadf (
accum a)
— Runtime Function: short fract 
__fractdaqq (
long accum a)
— Runtime Function: fract 
__fractdahq (
long accum a)
— Runtime Function: long fract 
__fractdasq (
long accum a)
— Runtime Function: long long fract 
__fractdadq (
long accum a)
— Runtime Function: short accum 
__fractdaha2 (
long accum a)
— Runtime Function: accum 
__fractdasa2 (
long accum a)
— Runtime Function: long long accum 
__fractdata2 (
long accum a)
— Runtime Function: unsigned short fract 
__fractdauqq (
long accum a)
— Runtime Function: unsigned fract 
__fractdauhq (
long accum a)
— Runtime Function: unsigned long fract 
__fractdausq (
long accum a)
— Runtime Function: unsigned long long fract 
__fractdaudq (
long accum a)
— Runtime Function: unsigned short accum 
__fractdauha (
long accum a)
— Runtime Function: unsigned accum 
__fractdausa (
long accum a)
— Runtime Function: unsigned long accum 
__fractdauda (
long accum a)
— Runtime Function: unsigned long long accum 
__fractdauta (
long accum a)
— Runtime Function: signed char 
__fractdaqi (
long accum a)
— Runtime Function: short 
__fractdahi (
long accum a)
— Runtime Function: int 
__fractdasi (
long accum a)
— Runtime Function: long 
__fractdadi (
long accum a)
— Runtime Function: long long 
__fractdati (
long accum a)
— Runtime Function: float 
__fractdasf (
long accum a)
— Runtime Function: double 
__fractdadf (
long accum a)
— Runtime Function: short fract 
__fracttaqq (
long long accum a)
— Runtime Function: fract 
__fracttahq (
long long accum a)
— Runtime Function: long fract 
__fracttasq (
long long accum a)
— Runtime Function: long long fract 
__fracttadq (
long long accum a)
— Runtime Function: short accum 
__fracttaha2 (
long long accum a)
— Runtime Function: accum 
__fracttasa2 (
long long accum a)
— Runtime Function: long accum 
__fracttada2 (
long long accum a)
— Runtime Function: unsigned short fract 
__fracttauqq (
long long accum a)
— Runtime Function: unsigned fract 
__fracttauhq (
long long accum a)
— Runtime Function: unsigned long fract 
__fracttausq (
long long accum a)
— Runtime Function: unsigned long long fract 
__fracttaudq (
long long accum a)
— Runtime Function: unsigned short accum 
__fracttauha (
long long accum a)
— Runtime Function: unsigned accum 
__fracttausa (
long long accum a)
— Runtime Function: unsigned long accum 
__fracttauda (
long long accum a)
— Runtime Function: unsigned long long accum 
__fracttauta (
long long accum a)
— Runtime Function: signed char 
__fracttaqi (
long long accum a)
— Runtime Function: short 
__fracttahi (
long long accum a)
— Runtime Function: int 
__fracttasi (
long long accum a)
— Runtime Function: long 
__fracttadi (
long long accum a)
— Runtime Function: long long 
__fracttati (
long long accum a)
— Runtime Function: float 
__fracttasf (
long long accum a)
— Runtime Function: double 
__fracttadf (
long long accum a)
— Runtime Function: short fract 
__fractuqqqq (
unsigned short fract a)
— Runtime Function: fract 
__fractuqqhq (
unsigned short fract a)
— Runtime Function: long fract 
__fractuqqsq (
unsigned short fract a)
— Runtime Function: long long fract 
__fractuqqdq (
unsigned short fract a)
— Runtime Function: short accum 
__fractuqqha (
unsigned short fract a)
— Runtime Function: accum 
__fractuqqsa (
unsigned short fract a)
— Runtime Function: long accum 
__fractuqqda (
unsigned short fract a)
— Runtime Function: long long accum 
__fractuqqta (
unsigned short fract a)
— Runtime Function: unsigned fract 
__fractuqquhq2 (
unsigned short fract a)
— Runtime Function: unsigned long fract 
__fractuqqusq2 (
unsigned short fract a)
— Runtime Function: unsigned long long fract 
__fractuqqudq2 (
unsigned short fract a)
— Runtime Function: unsigned short accum 
__fractuqquha (
unsigned short fract a)
— Runtime Function: unsigned accum 
__fractuqqusa (
unsigned short fract a)
— Runtime Function: unsigned long accum 
__fractuqquda (
unsigned short fract a)
— Runtime Function: unsigned long long accum 
__fractuqquta (
unsigned short fract a)
— Runtime Function: signed char 
__fractuqqqi (
unsigned short fract a)
— Runtime Function: short 
__fractuqqhi (
unsigned short fract a)
— Runtime Function: int 
__fractuqqsi (
unsigned short fract a)
— Runtime Function: long 
__fractuqqdi (
unsigned short fract a)
— Runtime Function: long long 
__fractuqqti (
unsigned short fract a)
— Runtime Function: float 
__fractuqqsf (
unsigned short fract a)
— Runtime Function: double 
__fractuqqdf (
unsigned short fract a)
— Runtime Function: short fract 
__fractuhqqq (
unsigned fract a)
— Runtime Function: fract 
__fractuhqhq (
unsigned fract a)
— Runtime Function: long fract 
__fractuhqsq (
unsigned fract a)
— Runtime Function: long long fract 
__fractuhqdq (
unsigned fract a)
— Runtime Function: short accum 
__fractuhqha (
unsigned fract a)
— Runtime Function: accum 
__fractuhqsa (
unsigned fract a)
— Runtime Function: long accum 
__fractuhqda (
unsigned fract a)
— Runtime Function: long long accum 
__fractuhqta (
unsigned fract a)
— Runtime Function: unsigned short fract 
__fractuhquqq2 (
unsigned fract a)
— Runtime Function: unsigned long fract 
__fractuhqusq2 (
unsigned fract a)
— Runtime Function: unsigned long long fract 
__fractuhqudq2 (
unsigned fract a)
— Runtime Function: unsigned short accum 
__fractuhquha (
unsigned fract a)
— Runtime Function: unsigned accum 
__fractuhqusa (
unsigned fract a)
— Runtime Function: unsigned long accum 
__fractuhquda (
unsigned fract a)
— Runtime Function: unsigned long long accum 
__fractuhquta (
unsigned fract a)
— Runtime Function: signed char 
__fractuhqqi (
unsigned fract a)
— Runtime Function: short 
__fractuhqhi (
unsigned fract a)
— Runtime Function: int 
__fractuhqsi (
unsigned fract a)
— Runtime Function: long 
__fractuhqdi (
unsigned fract a)
— Runtime Function: long long 
__fractuhqti (
unsigned fract a)
— Runtime Function: float 
__fractuhqsf (
unsigned fract a)
— Runtime Function: double 
__fractuhqdf (
unsigned fract a)
— Runtime Function: short fract 
__fractusqqq (
unsigned long fract a)
— Runtime Function: fract 
__fractusqhq (
unsigned long fract a)
— Runtime Function: long fract 
__fractusqsq (
unsigned long fract a)
— Runtime Function: long long fract 
__fractusqdq (
unsigned long fract a)
— Runtime Function: short accum 
__fractusqha (
unsigned long fract a)
— Runtime Function: accum 
__fractusqsa (
unsigned long fract a)
— Runtime Function: long accum 
__fractusqda (
unsigned long fract a)
— Runtime Function: long long accum 
__fractusqta (
unsigned long fract a)
— Runtime Function: unsigned short fract 
__fractusquqq2 (
unsigned long fract a)
— Runtime Function: unsigned fract 
__fractusquhq2 (
unsigned long fract a)
— Runtime Function: unsigned long long fract 
__fractusqudq2 (
unsigned long fract a)
— Runtime Function: unsigned short accum 
__fractusquha (
unsigned long fract a)
— Runtime Function: unsigned accum 
__fractusqusa (
unsigned long fract a)
— Runtime Function: unsigned long accum 
__fractusquda (
unsigned long fract a)
— Runtime Function: unsigned long long accum 
__fractusquta (
unsigned long fract a)
— Runtime Function: signed char 
__fractusqqi (
unsigned long fract a)
— Runtime Function: short 
__fractusqhi (
unsigned long fract a)
— Runtime Function: int 
__fractusqsi (
unsigned long fract a)
— Runtime Function: long 
__fractusqdi (
unsigned long fract a)
— Runtime Function: long long 
__fractusqti (
unsigned long fract a)
— Runtime Function: float 
__fractusqsf (
unsigned long fract a)
— Runtime Function: double 
__fractusqdf (
unsigned long fract a)
— Runtime Function: short fract 
__fractudqqq (
unsigned long long fract a)
— Runtime Function: fract 
__fractudqhq (
unsigned long long fract a)
— Runtime Function: long fract 
__fractudqsq (
unsigned long long fract a)
— Runtime Function: long long fract 
__fractudqdq (
unsigned long long fract a)
— Runtime Function: short accum 
__fractudqha (
unsigned long long fract a)
— Runtime Function: accum 
__fractudqsa (
unsigned long long fract a)
— Runtime Function: long accum 
__fractudqda (
unsigned long long fract a)
— Runtime Function: long long accum 
__fractudqta (
unsigned long long fract a)
— Runtime Function: unsigned short fract 
__fractudquqq2 (
unsigned long long fract a)
— Runtime Function: unsigned fract 
__fractudquhq2 (
unsigned long long fract a)
— Runtime Function: unsigned long fract 
__fractudqusq2 (
unsigned long long fract a)
— Runtime Function: unsigned short accum 
__fractudquha (
unsigned long long fract a)
— Runtime Function: unsigned accum 
__fractudqusa (
unsigned long long fract a)
— Runtime Function: unsigned long accum 
__fractudquda (
unsigned long long fract a)
— Runtime Function: unsigned long long accum 
__fractudquta (
unsigned long long fract a)
— Runtime Function: signed char 
__fractudqqi (
unsigned long long fract a)
— Runtime Function: short 
__fractudqhi (
unsigned long long fract a)
— Runtime Function: int 
__fractudqsi (
unsigned long long fract a)
— Runtime Function: long 
__fractudqdi (
unsigned long long fract a)
— Runtime Function: long long 
__fractudqti (
unsigned long long fract a)
— Runtime Function: float 
__fractudqsf (
unsigned long long fract a)
— Runtime Function: double 
__fractudqdf (
unsigned long long fract a)
— Runtime Function: short fract 
__fractuhaqq (
unsigned short accum a)
— Runtime Function: fract 
__fractuhahq (
unsigned short accum a)
— Runtime Function: long fract 
__fractuhasq (
unsigned short accum a)
— Runtime Function: long long fract 
__fractuhadq (
unsigned short accum a)
— Runtime Function: short accum 
__fractuhaha (
unsigned short accum a)
— Runtime Function: accum 
__fractuhasa (
unsigned short accum a)
— Runtime Function: long accum 
__fractuhada (
unsigned short accum a)
— Runtime Function: long long accum 
__fractuhata (
unsigned short accum a)
— Runtime Function: unsigned short fract 
__fractuhauqq (
unsigned short accum a)
— Runtime Function: unsigned fract 
__fractuhauhq (
unsigned short accum a)
— Runtime Function: unsigned long fract 
__fractuhausq (
unsigned short accum a)
— Runtime Function: unsigned long long fract 
__fractuhaudq (
unsigned short accum a)
— Runtime Function: unsigned accum 
__fractuhausa2 (
unsigned short accum a)
— Runtime Function: unsigned long accum 
__fractuhauda2 (
unsigned short accum a)
— Runtime Function: unsigned long long accum 
__fractuhauta2 (
unsigned short accum a)
— Runtime Function: signed char 
__fractuhaqi (
unsigned short accum a)
— Runtime Function: short 
__fractuhahi (
unsigned short accum a)
— Runtime Function: int 
__fractuhasi (
unsigned short accum a)
— Runtime Function: long 
__fractuhadi (
unsigned short accum a)
— Runtime Function: long long 
__fractuhati (
unsigned short accum a)
— Runtime Function: float 
__fractuhasf (
unsigned short accum a)
— Runtime Function: double 
__fractuhadf (
unsigned short accum a)
— Runtime Function: short fract 
__fractusaqq (
unsigned accum a)
— Runtime Function: fract 
__fractusahq (
unsigned accum a)
— Runtime Function: long fract 
__fractusasq (
unsigned accum a)
— Runtime Function: long long fract 
__fractusadq (
unsigned accum a)
— Runtime Function: short accum 
__fractusaha (
unsigned accum a)
— Runtime Function: accum 
__fractusasa (
unsigned accum a)
— Runtime Function: long accum 
__fractusada (
unsigned accum a)
— Runtime Function: long long accum 
__fractusata (
unsigned accum a)
— Runtime Function: unsigned short fract 
__fractusauqq (
unsigned accum a)
— Runtime Function: unsigned fract 
__fractusauhq (
unsigned accum a)
— Runtime Function: unsigned long fract 
__fractusausq (
unsigned accum a)
— Runtime Function: unsigned long long fract 
__fractusaudq (
unsigned accum a)
— Runtime Function: unsigned short accum 
__fractusauha2 (
unsigned accum a)
— Runtime Function: unsigned long accum 
__fractusauda2 (
unsigned accum a)
— Runtime Function: unsigned long long accum 
__fractusauta2 (
unsigned accum a)
— Runtime Function: signed char 
__fractusaqi (
unsigned accum a)
— Runtime Function: short 
__fractusahi (
unsigned accum a)
— Runtime Function: int 
__fractusasi (
unsigned accum a)
— Runtime Function: long 
__fractusadi (
unsigned accum a)
— Runtime Function: long long 
__fractusati (
unsigned accum a)
— Runtime Function: float 
__fractusasf (
unsigned accum a)
— Runtime Function: double 
__fractusadf (
unsigned accum a)
— Runtime Function: short fract 
__fractudaqq (
unsigned long accum a)
— Runtime Function: fract 
__fractudahq (
unsigned long accum a)
— Runtime Function: long fract 
__fractudasq (
unsigned long accum a)
— Runtime Function: long long fract 
__fractudadq (
unsigned long accum a)
— Runtime Function: short accum 
__fractudaha (
unsigned long accum a)
— Runtime Function: accum 
__fractudasa (
unsigned long accum a)
— Runtime Function: long accum 
__fractudada (
unsigned long accum a)
— Runtime Function: long long accum 
__fractudata (
unsigned long accum a)
— Runtime Function: unsigned short fract 
__fractudauqq (
unsigned long accum a)
— Runtime Function: unsigned fract 
__fractudauhq (
unsigned long accum a)
— Runtime Function: unsigned long fract 
__fractudausq (
unsigned long accum a)
— Runtime Function: unsigned long long fract 
__fractudaudq (
unsigned long accum a)
— Runtime Function: unsigned short accum 
__fractudauha2 (
unsigned long accum a)
— Runtime Function: unsigned accum 
__fractudausa2 (
unsigned long accum a)
— Runtime Function: unsigned long long accum 
__fractudauta2 (
unsigned long accum a)
— Runtime Function: signed char 
__fractudaqi (
unsigned long accum a)
— Runtime Function: short 
__fractudahi (
unsigned long accum a)
— Runtime Function: int 
__fractudasi (
unsigned long accum a)
— Runtime Function: long 
__fractudadi (
unsigned long accum a)
— Runtime Function: long long 
__fractudati (
unsigned long accum a)
— Runtime Function: float 
__fractudasf (
unsigned long accum a)
— Runtime Function: double 
__fractudadf (
unsigned long accum a)
— Runtime Function: short fract 
__fractutaqq (
unsigned long long accum a)
— Runtime Function: fract 
__fractutahq (
unsigned long long accum a)
— Runtime Function: long fract 
__fractutasq (
unsigned long long accum a)
— Runtime Function: long long fract 
__fractutadq (
unsigned long long accum a)
— Runtime Function: short accum 
__fractutaha (
unsigned long long accum a)
— Runtime Function: accum 
__fractutasa (
unsigned long long accum a)
— Runtime Function: long accum 
__fractutada (
unsigned long long accum a)
— Runtime Function: long long accum 
__fractutata (
unsigned long long accum a)
— Runtime Function: unsigned short fract 
__fractutauqq (
unsigned long long accum a)
— Runtime Function: unsigned fract 
__fractutauhq (
unsigned long long accum a)
— Runtime Function: unsigned long fract 
__fractutausq (
unsigned long long accum a)
— Runtime Function: unsigned long long fract 
__fractutaudq (
unsigned long long accum a)
— Runtime Function: unsigned short accum 
__fractutauha2 (
unsigned long long accum a)
— Runtime Function: unsigned accum 
__fractutausa2 (
unsigned long long accum a)
— Runtime Function: unsigned long accum 
__fractutauda2 (
unsigned long long accum a)
— Runtime Function: signed char 
__fractutaqi (
unsigned long long accum a)
— Runtime Function: short 
__fractutahi (
unsigned long long accum a)
— Runtime Function: int 
__fractutasi (
unsigned long long accum a)
— Runtime Function: long 
__fractutadi (
unsigned long long accum a)
— Runtime Function: long long 
__fractutati (
unsigned long long accum a)
— Runtime Function: float 
__fractutasf (
unsigned long long accum a)
— Runtime Function: double 
__fractutadf (
unsigned long long accum a)
— Runtime Function: short fract 
__fractqiqq (
signed char a)
— Runtime Function: fract 
__fractqihq (
signed char a)
— Runtime Function: long fract 
__fractqisq (
signed char a)
— Runtime Function: long long fract 
__fractqidq (
signed char a)
— Runtime Function: short accum 
__fractqiha (
signed char a)
— Runtime Function: accum 
__fractqisa (
signed char a)
— Runtime Function: long accum 
__fractqida (
signed char a)
— Runtime Function: long long accum 
__fractqita (
signed char a)
— Runtime Function: unsigned short fract 
__fractqiuqq (
signed char a)
— Runtime Function: unsigned fract 
__fractqiuhq (
signed char a)
— Runtime Function: unsigned long fract 
__fractqiusq (
signed char a)
— Runtime Function: unsigned long long fract 
__fractqiudq (
signed char a)
— Runtime Function: unsigned short accum 
__fractqiuha (
signed char a)
— Runtime Function: unsigned accum 
__fractqiusa (
signed char a)
— Runtime Function: unsigned long accum 
__fractqiuda (
signed char a)
— Runtime Function: unsigned long long accum 
__fractqiuta (
signed char a)
— Runtime Function: short fract 
__fracthiqq (
short a)
— Runtime Function: fract 
__fracthihq (
short a)
— Runtime Function: long fract 
__fracthisq (
short a)
— Runtime Function: long long fract 
__fracthidq (
short a)
— Runtime Function: short accum 
__fracthiha (
short a)
— Runtime Function: accum 
__fracthisa (
short a)
— Runtime Function: long accum 
__fracthida (
short a)
— Runtime Function: long long accum 
__fracthita (
short a)
— Runtime Function: unsigned short fract 
__fracthiuqq (
short a)
— Runtime Function: unsigned fract 
__fracthiuhq (
short a)
— Runtime Function: unsigned long fract 
__fracthiusq (
short a)
— Runtime Function: unsigned long long fract 
__fracthiudq (
short a)
— Runtime Function: unsigned short accum 
__fracthiuha (
short a)
— Runtime Function: unsigned accum 
__fracthiusa (
short a)
— Runtime Function: unsigned long accum 
__fracthiuda (
short a)
— Runtime Function: unsigned long long accum 
__fracthiuta (
short a)
— Runtime Function: short fract 
__fractsiqq (
int a)
— Runtime Function: fract 
__fractsihq (
int a)
— Runtime Function: long fract 
__fractsisq (
int a)
— Runtime Function: long long fract 
__fractsidq (
int a)
— Runtime Function: short accum 
__fractsiha (
int a)
— Runtime Function: accum 
__fractsisa (
int a)
— Runtime Function: long accum 
__fractsida (
int a)
— Runtime Function: long long accum 
__fractsita (
int a)
— Runtime Function: unsigned short fract 
__fractsiuqq (
int a)
— Runtime Function: unsigned fract 
__fractsiuhq (
int a)
— Runtime Function: unsigned long fract 
__fractsiusq (
int a)
— Runtime Function: unsigned long long fract 
__fractsiudq (
int a)
— Runtime Function: unsigned short accum 
__fractsiuha (
int a)
— Runtime Function: unsigned accum 
__fractsiusa (
int a)
— Runtime Function: unsigned long accum 
__fractsiuda (
int a)
— Runtime Function: unsigned long long accum 
__fractsiuta (
int a)
— Runtime Function: short fract 
__fractdiqq (
long a)
— Runtime Function: fract 
__fractdihq (
long a)
— Runtime Function: long fract 
__fractdisq (
long a)
— Runtime Function: long long fract 
__fractdidq (
long a)
— Runtime Function: short accum 
__fractdiha (
long a)
— Runtime Function: accum 
__fractdisa (
long a)
— Runtime Function: long accum 
__fractdida (
long a)
— Runtime Function: long long accum 
__fractdita (
long a)
— Runtime Function: unsigned short fract 
__fractdiuqq (
long a)
— Runtime Function: unsigned fract 
__fractdiuhq (
long a)
— Runtime Function: unsigned long fract 
__fractdiusq (
long a)
— Runtime Function: unsigned long long fract 
__fractdiudq (
long a)
— Runtime Function: unsigned short accum 
__fractdiuha (
long a)
— Runtime Function: unsigned accum 
__fractdiusa (
long a)
— Runtime Function: unsigned long accum 
__fractdiuda (
long a)
— Runtime Function: unsigned long long accum 
__fractdiuta (
long a)
— Runtime Function: short fract 
__fracttiqq (
long long a)
— Runtime Function: fract 
__fracttihq (
long long a)
— Runtime Function: long fract 
__fracttisq (
long long a)
— Runtime Function: long long fract 
__fracttidq (
long long a)
— Runtime Function: short accum 
__fracttiha (
long long a)
— Runtime Function: accum 
__fracttisa (
long long a)
— Runtime Function: long accum 
__fracttida (
long long a)
— Runtime Function: long long accum 
__fracttita (
long long a)
— Runtime Function: unsigned short fract 
__fracttiuqq (
long long a)
— Runtime Function: unsigned fract 
__fracttiuhq (
long long a)
— Runtime Function: unsigned long fract 
__fracttiusq (
long long a)
— Runtime Function: unsigned long long fract 
__fracttiudq (
long long a)
— Runtime Function: unsigned short accum 
__fracttiuha (
long long a)
— Runtime Function: unsigned accum 
__fracttiusa (
long long a)
— Runtime Function: unsigned long accum 
__fracttiuda (
long long a)
— Runtime Function: unsigned long long accum 
__fracttiuta (
long long a)
— Runtime Function: short fract 
__fractsfqq (
float a)
— Runtime Function: fract 
__fractsfhq (
float a)
— Runtime Function: long fract 
__fractsfsq (
float a)
— Runtime Function: long long fract 
__fractsfdq (
float a)
— Runtime Function: short accum 
__fractsfha (
float a)
— Runtime Function: accum 
__fractsfsa (
float a)
— Runtime Function: long accum 
__fractsfda (
float a)
— Runtime Function: long long accum 
__fractsfta (
float a)
— Runtime Function: unsigned short fract 
__fractsfuqq (
float a)
— Runtime Function: unsigned fract 
__fractsfuhq (
float a)
— Runtime Function: unsigned long fract 
__fractsfusq (
float a)
— Runtime Function: unsigned long long fract 
__fractsfudq (
float a)
— Runtime Function: unsigned short accum 
__fractsfuha (
float a)
— Runtime Function: unsigned accum 
__fractsfusa (
float a)
— Runtime Function: unsigned long accum 
__fractsfuda (
float a)
— Runtime Function: unsigned long long accum 
__fractsfuta (
float a)
— Runtime Function: short fract 
__fractdfqq (
double a)
— Runtime Function: fract 
__fractdfhq (
double a)
— Runtime Function: long fract 
__fractdfsq (
double a)
— Runtime Function: long long fract 
__fractdfdq (
double a)
— Runtime Function: short accum 
__fractdfha (
double a)
— Runtime Function: accum 
__fractdfsa (
double a)
— Runtime Function: long accum 
__fractdfda (
double a)
— Runtime Function: long long accum 
__fractdfta (
double a)
— Runtime Function: unsigned short fract 
__fractdfuqq (
double a)
— Runtime Function: unsigned fract 
__fractdfuhq (
double a)
— Runtime Function: unsigned long fract 
__fractdfusq (
double a)
— Runtime Function: unsigned long long fract 
__fractdfudq (
double a)
— Runtime Function: unsigned short accum 
__fractdfuha (
double a)
— Runtime Function: unsigned accum 
__fractdfusa (
double a)
— Runtime Function: unsigned long accum 
__fractdfuda (
double a)
— Runtime Function: unsigned long long accum 
__fractdfuta (
double a)
These functions convert from fractional and signed non-fractionals to
fractionals and signed non-fractionals, without saturation. 
— Runtime Function: fract 
__satfractqqhq2 (
short fract a)
— Runtime Function: long fract 
__satfractqqsq2 (
short fract a)
— Runtime Function: long long fract 
__satfractqqdq2 (
short fract a)
— Runtime Function: short accum 
__satfractqqha (
short fract a)
— Runtime Function: accum 
__satfractqqsa (
short fract a)
— Runtime Function: long accum 
__satfractqqda (
short fract a)
— Runtime Function: long long accum 
__satfractqqta (
short fract a)
— Runtime Function: unsigned short fract 
__satfractqquqq (
short fract a)
— Runtime Function: unsigned fract 
__satfractqquhq (
short fract a)
— Runtime Function: unsigned long fract 
__satfractqqusq (
short fract a)
— Runtime Function: unsigned long long fract 
__satfractqqudq (
short fract a)
— Runtime Function: unsigned short accum 
__satfractqquha (
short fract a)
— Runtime Function: unsigned accum 
__satfractqqusa (
short fract a)
— Runtime Function: unsigned long accum 
__satfractqquda (
short fract a)
— Runtime Function: unsigned long long accum 
__satfractqquta (
short fract a)
— Runtime Function: short fract 
__satfracthqqq2 (
fract a)
— Runtime Function: long fract 
__satfracthqsq2 (
fract a)
— Runtime Function: long long fract 
__satfracthqdq2 (
fract a)
— Runtime Function: short accum 
__satfracthqha (
fract a)
— Runtime Function: accum 
__satfracthqsa (
fract a)
— Runtime Function: long accum 
__satfracthqda (
fract a)
— Runtime Function: long long accum 
__satfracthqta (
fract a)
— Runtime Function: unsigned short fract 
__satfracthquqq (
fract a)
— Runtime Function: unsigned fract 
__satfracthquhq (
fract a)
— Runtime Function: unsigned long fract 
__satfracthqusq (
fract a)
— Runtime Function: unsigned long long fract 
__satfracthqudq (
fract a)
— Runtime Function: unsigned short accum 
__satfracthquha (
fract a)
— Runtime Function: unsigned accum 
__satfracthqusa (
fract a)
— Runtime Function: unsigned long accum 
__satfracthquda (
fract a)
— Runtime Function: unsigned long long accum 
__satfracthquta (
fract a)
— Runtime Function: short fract 
__satfractsqqq2 (
long fract a)
— Runtime Function: fract 
__satfractsqhq2 (
long fract a)
— Runtime Function: long long fract 
__satfractsqdq2 (
long fract a)
— Runtime Function: short accum 
__satfractsqha (
long fract a)
— Runtime Function: accum 
__satfractsqsa (
long fract a)
— Runtime Function: long accum 
__satfractsqda (
long fract a)
— Runtime Function: long long accum 
__satfractsqta (
long fract a)
— Runtime Function: unsigned short fract 
__satfractsquqq (
long fract a)
— Runtime Function: unsigned fract 
__satfractsquhq (
long fract a)
— Runtime Function: unsigned long fract 
__satfractsqusq (
long fract a)
— Runtime Function: unsigned long long fract 
__satfractsqudq (
long fract a)
— Runtime Function: unsigned short accum 
__satfractsquha (
long fract a)
— Runtime Function: unsigned accum 
__satfractsqusa (
long fract a)
— Runtime Function: unsigned long accum 
__satfractsquda (
long fract a)
— Runtime Function: unsigned long long accum 
__satfractsquta (
long fract a)
— Runtime Function: short fract 
__satfractdqqq2 (
long long fract a)
— Runtime Function: fract 
__satfractdqhq2 (
long long fract a)
— Runtime Function: long fract 
__satfractdqsq2 (
long long fract a)
— Runtime Function: short accum 
__satfractdqha (
long long fract a)
— Runtime Function: accum 
__satfractdqsa (
long long fract a)
— Runtime Function: long accum 
__satfractdqda (
long long fract a)
— Runtime Function: long long accum 
__satfractdqta (
long long fract a)
— Runtime Function: unsigned short fract 
__satfractdquqq (
long long fract a)
— Runtime Function: unsigned fract 
__satfractdquhq (
long long fract a)
— Runtime Function: unsigned long fract 
__satfractdqusq (
long long fract a)
— Runtime Function: unsigned long long fract 
__satfractdqudq (
long long fract a)
— Runtime Function: unsigned short accum 
__satfractdquha (
long long fract a)
— Runtime Function: unsigned accum 
__satfractdqusa (
long long fract a)
— Runtime Function: unsigned long accum 
__satfractdquda (
long long fract a)
— Runtime Function: unsigned long long accum 
__satfractdquta (
long long fract a)
— Runtime Function: short fract 
__satfracthaqq (
short accum a)
— Runtime Function: fract 
__satfracthahq (
short accum a)
— Runtime Function: long fract 
__satfracthasq (
short accum a)
— Runtime Function: long long fract 
__satfracthadq (
short accum a)
— Runtime Function: accum 
__satfracthasa2 (
short accum a)
— Runtime Function: long accum 
__satfracthada2 (
short accum a)
— Runtime Function: long long accum 
__satfracthata2 (
short accum a)
— Runtime Function: unsigned short fract 
__satfracthauqq (
short accum a)
— Runtime Function: unsigned fract 
__satfracthauhq (
short accum a)
— Runtime Function: unsigned long fract 
__satfracthausq (
short accum a)
— Runtime Function: unsigned long long fract 
__satfracthaudq (
short accum a)
— Runtime Function: unsigned short accum 
__satfracthauha (
short accum a)
— Runtime Function: unsigned accum 
__satfracthausa (
short accum a)
— Runtime Function: unsigned long accum 
__satfracthauda (
short accum a)
— Runtime Function: unsigned long long accum 
__satfracthauta (
short accum a)
— Runtime Function: short fract 
__satfractsaqq (
accum a)
— Runtime Function: fract 
__satfractsahq (
accum a)
— Runtime Function: long fract 
__satfractsasq (
accum a)
— Runtime Function: long long fract 
__satfractsadq (
accum a)
— Runtime Function: short accum 
__satfractsaha2 (
accum a)
— Runtime Function: long accum 
__satfractsada2 (
accum a)
— Runtime Function: long long accum 
__satfractsata2 (
accum a)
— Runtime Function: unsigned short fract 
__satfractsauqq (
accum a)
— Runtime Function: unsigned fract 
__satfractsauhq (
accum a)
— Runtime Function: unsigned long fract 
__satfractsausq (
accum a)
— Runtime Function: unsigned long long fract 
__satfractsaudq (
accum a)
— Runtime Function: unsigned short accum 
__satfractsauha (
accum a)
— Runtime Function: unsigned accum 
__satfractsausa (
accum a)
— Runtime Function: unsigned long accum 
__satfractsauda (
accum a)
— Runtime Function: unsigned long long accum 
__satfractsauta (
accum a)
— Runtime Function: short fract 
__satfractdaqq (
long accum a)
— Runtime Function: fract 
__satfractdahq (
long accum a)
— Runtime Function: long fract 
__satfractdasq (
long accum a)
— Runtime Function: long long fract 
__satfractdadq (
long accum a)
— Runtime Function: short accum 
__satfractdaha2 (
long accum a)
— Runtime Function: accum 
__satfractdasa2 (
long accum a)
— Runtime Function: long long accum 
__satfractdata2 (
long accum a)
— Runtime Function: unsigned short fract 
__satfractdauqq (
long accum a)
— Runtime Function: unsigned fract 
__satfractdauhq (
long accum a)
— Runtime Function: unsigned long fract 
__satfractdausq (
long accum a)
— Runtime Function: unsigned long long fract 
__satfractdaudq (
long accum a)
— Runtime Function: unsigned short accum 
__satfractdauha (
long accum a)
— Runtime Function: unsigned accum 
__satfractdausa (
long accum a)
— Runtime Function: unsigned long accum 
__satfractdauda (
long accum a)
— Runtime Function: unsigned long long accum 
__satfractdauta (
long accum a)
— Runtime Function: short fract 
__satfracttaqq (
long long accum a)
— Runtime Function: fract 
__satfracttahq (
long long accum a)
— Runtime Function: long fract 
__satfracttasq (
long long accum a)
— Runtime Function: long long fract 
__satfracttadq (
long long accum a)
— Runtime Function: short accum 
__satfracttaha2 (
long long accum a)
— Runtime Function: accum 
__satfracttasa2 (
long long accum a)
— Runtime Function: long accum 
__satfracttada2 (
long long accum a)
— Runtime Function: unsigned short fract 
__satfracttauqq (
long long accum a)
— Runtime Function: unsigned fract 
__satfracttauhq (
long long accum a)
— Runtime Function: unsigned long fract 
__satfracttausq (
long long accum a)
— Runtime Function: unsigned long long fract 
__satfracttaudq (
long long accum a)
— Runtime Function: unsigned short accum 
__satfracttauha (
long long accum a)
— Runtime Function: unsigned accum 
__satfracttausa (
long long accum a)
— Runtime Function: unsigned long accum 
__satfracttauda (
long long accum a)
— Runtime Function: unsigned long long accum 
__satfracttauta (
long long accum a)
— Runtime Function: short fract 
__satfractuqqqq (
unsigned short fract a)
— Runtime Function: fract 
__satfractuqqhq (
unsigned short fract a)
— Runtime Function: long fract 
__satfractuqqsq (
unsigned short fract a)
— Runtime Function: long long fract 
__satfractuqqdq (
unsigned short fract a)
— Runtime Function: short accum 
__satfractuqqha (
unsigned short fract a)
— Runtime Function: accum 
__satfractuqqsa (
unsigned short fract a)
— Runtime Function: long accum 
__satfractuqqda (
unsigned short fract a)
— Runtime Function: long long accum 
__satfractuqqta (
unsigned short fract a)
— Runtime Function: unsigned fract 
__satfractuqquhq2 (
unsigned short fract a)
— Runtime Function: unsigned long fract 
__satfractuqqusq2 (
unsigned short fract a)
— Runtime Function: unsigned long long fract 
__satfractuqqudq2 (
unsigned short fract a)
— Runtime Function: unsigned short accum 
__satfractuqquha (
unsigned short fract a)
— Runtime Function: unsigned accum 
__satfractuqqusa (
unsigned short fract a)
— Runtime Function: unsigned long accum 
__satfractuqquda (
unsigned short fract a)
— Runtime Function: unsigned long long accum 
__satfractuqquta (
unsigned short fract a)
— Runtime Function: short fract 
__satfractuhqqq (
unsigned fract a)
— Runtime Function: fract 
__satfractuhqhq (
unsigned fract a)
— Runtime Function: long fract 
__satfractuhqsq (
unsigned fract a)
— Runtime Function: long long fract 
__satfractuhqdq (
unsigned fract a)
— Runtime Function: short accum 
__satfractuhqha (
unsigned fract a)
— Runtime Function: accum 
__satfractuhqsa (
unsigned fract a)
— Runtime Function: long accum 
__satfractuhqda (
unsigned fract a)
— Runtime Function: long long accum 
__satfractuhqta (
unsigned fract a)
— Runtime Function: unsigned short fract 
__satfractuhquqq2 (
unsigned fract a)
— Runtime Function: unsigned long fract 
__satfractuhqusq2 (
unsigned fract a)
— Runtime Function: unsigned long long fract 
__satfractuhqudq2 (
unsigned fract a)
— Runtime Function: unsigned short accum 
__satfractuhquha (
unsigned fract a)
— Runtime Function: unsigned accum 
__satfractuhqusa (
unsigned fract a)
— Runtime Function: unsigned long accum 
__satfractuhquda (
unsigned fract a)
— Runtime Function: unsigned long long accum 
__satfractuhquta (
unsigned fract a)
— Runtime Function: short fract 
__satfractusqqq (
unsigned long fract a)
— Runtime Function: fract 
__satfractusqhq (
unsigned long fract a)
— Runtime Function: long fract 
__satfractusqsq (
unsigned long fract a)
— Runtime Function: long long fract 
__satfractusqdq (
unsigned long fract a)
— Runtime Function: short accum 
__satfractusqha (
unsigned long fract a)
— Runtime Function: accum 
__satfractusqsa (
unsigned long fract a)
— Runtime Function: long accum 
__satfractusqda (
unsigned long fract a)
— Runtime Function: long long accum 
__satfractusqta (
unsigned long fract a)
— Runtime Function: unsigned short fract 
__satfractusquqq2 (
unsigned long fract a)
— Runtime Function: unsigned fract 
__satfractusquhq2 (
unsigned long fract a)
— Runtime Function: unsigned long long fract 
__satfractusqudq2 (
unsigned long fract a)
— Runtime Function: unsigned short accum 
__satfractusquha (
unsigned long fract a)
— Runtime Function: unsigned accum 
__satfractusqusa (
unsigned long fract a)
— Runtime Function: unsigned long accum 
__satfractusquda (
unsigned long fract a)
— Runtime Function: unsigned long long accum 
__satfractusquta (
unsigned long fract a)
— Runtime Function: short fract 
__satfractudqqq (
unsigned long long fract a)
— Runtime Function: fract 
__satfractudqhq (
unsigned long long fract a)
— Runtime Function: long fract 
__satfractudqsq (
unsigned long long fract a)
— Runtime Function: long long fract 
__satfractudqdq (
unsigned long long fract a)
— Runtime Function: short accum 
__satfractudqha (
unsigned long long fract a)
— Runtime Function: accum 
__satfractudqsa (
unsigned long long fract a)
— Runtime Function: long accum 
__satfractudqda (
unsigned long long fract a)
— Runtime Function: long long accum 
__satfractudqta (
unsigned long long fract a)
— Runtime Function: unsigned short fract 
__satfractudquqq2 (
unsigned long long fract a)
— Runtime Function: unsigned fract 
__satfractudquhq2 (
unsigned long long fract a)
— Runtime Function: unsigned long fract 
__satfractudqusq2 (
unsigned long long fract a)
— Runtime Function: unsigned short accum 
__satfractudquha (
unsigned long long fract a)
— Runtime Function: unsigned accum 
__satfractudqusa (
unsigned long long fract a)
— Runtime Function: unsigned long accum 
__satfractudquda (
unsigned long long fract a)
— Runtime Function: unsigned long long accum 
__satfractudquta (
unsigned long long fract a)
— Runtime Function: short fract 
__satfractuhaqq (
unsigned short accum a)
— Runtime Function: fract 
__satfractuhahq (
unsigned short accum a)
— Runtime Function: long fract 
__satfractuhasq (
unsigned short accum a)
— Runtime Function: long long fract 
__satfractuhadq (
unsigned short accum a)
— Runtime Function: short accum 
__satfractuhaha (
unsigned short accum a)
— Runtime Function: accum 
__satfractuhasa (
unsigned short accum a)
— Runtime Function: long accum 
__satfractuhada (
unsigned short accum a)
— Runtime Function: long long accum 
__satfractuhata (
unsigned short accum a)
— Runtime Function: unsigned short fract 
__satfractuhauqq (
unsigned short accum a)
— Runtime Function: unsigned fract 
__satfractuhauhq (
unsigned short accum a)
— Runtime Function: unsigned long fract 
__satfractuhausq (
unsigned short accum a)
— Runtime Function: unsigned long long fract 
__satfractuhaudq (
unsigned short accum a)
— Runtime Function: unsigned accum 
__satfractuhausa2 (
unsigned short accum a)
— Runtime Function: unsigned long accum 
__satfractuhauda2 (
unsigned short accum a)
— Runtime Function: unsigned long long accum 
__satfractuhauta2 (
unsigned short accum a)
— Runtime Function: short fract 
__satfractusaqq (
unsigned accum a)
— Runtime Function: fract 
__satfractusahq (
unsigned accum a)
— Runtime Function: long fract 
__satfractusasq (
unsigned accum a)
— Runtime Function: long long fract 
__satfractusadq (
unsigned accum a)
— Runtime Function: short accum 
__satfractusaha (
unsigned accum a)
— Runtime Function: accum 
__satfractusasa (
unsigned accum a)
— Runtime Function: long accum 
__satfractusada (
unsigned accum a)
— Runtime Function: long long accum 
__satfractusata (
unsigned accum a)
— Runtime Function: unsigned short fract 
__satfractusauqq (
unsigned accum a)
— Runtime Function: unsigned fract 
__satfractusauhq (
unsigned accum a)
— Runtime Function: unsigned long fract 
__satfractusausq (
unsigned accum a)
— Runtime Function: unsigned long long fract 
__satfractusaudq (
unsigned accum a)
— Runtime Function: unsigned short accum 
__satfractusauha2 (
unsigned accum a)
— Runtime Function: unsigned long accum 
__satfractusauda2 (
unsigned accum a)
— Runtime Function: unsigned long long accum 
__satfractusauta2 (
unsigned accum a)
— Runtime Function: short fract 
__satfractudaqq (
unsigned long accum a)
— Runtime Function: fract 
__satfractudahq (
unsigned long accum a)
— Runtime Function: long fract 
__satfractudasq (
unsigned long accum a)
— Runtime Function: long long fract 
__satfractudadq (
unsigned long accum a)
— Runtime Function: short accum 
__satfractudaha (
unsigned long accum a)
— Runtime Function: accum 
__satfractudasa (
unsigned long accum a)
— Runtime Function: long accum 
__satfractudada (
unsigned long accum a)
— Runtime Function: long long accum 
__satfractudata (
unsigned long accum a)
— Runtime Function: unsigned short fract 
__satfractudauqq (
unsigned long accum a)
— Runtime Function: unsigned fract 
__satfractudauhq (
unsigned long accum a)
— Runtime Function: unsigned long fract 
__satfractudausq (
unsigned long accum a)
— Runtime Function: unsigned long long fract 
__satfractudaudq (
unsigned long accum a)
— Runtime Function: unsigned short accum 
__satfractudauha2 (
unsigned long accum a)
— Runtime Function: unsigned accum 
__satfractudausa2 (
unsigned long accum a)
— Runtime Function: unsigned long long accum 
__satfractudauta2 (
unsigned long accum a)
— Runtime Function: short fract 
__satfractutaqq (
unsigned long long accum a)
— Runtime Function: fract 
__satfractutahq (
unsigned long long accum a)
— Runtime Function: long fract 
__satfractutasq (
unsigned long long accum a)
— Runtime Function: long long fract 
__satfractutadq (
unsigned long long accum a)
— Runtime Function: short accum 
__satfractutaha (
unsigned long long accum a)
— Runtime Function: accum 
__satfractutasa (
unsigned long long accum a)
— Runtime Function: long accum 
__satfractutada (
unsigned long long accum a)
— Runtime Function: long long accum 
__satfractutata (
unsigned long long accum a)
— Runtime Function: unsigned short fract 
__satfractutauqq (
unsigned long long accum a)
— Runtime Function: unsigned fract 
__satfractutauhq (
unsigned long long accum a)
— Runtime Function: unsigned long fract 
__satfractutausq (
unsigned long long accum a)
— Runtime Function: unsigned long long fract 
__satfractutaudq (
unsigned long long accum a)
— Runtime Function: unsigned short accum 
__satfractutauha2 (
unsigned long long accum a)
— Runtime Function: unsigned accum 
__satfractutausa2 (
unsigned long long accum a)
— Runtime Function: unsigned long accum 
__satfractutauda2 (
unsigned long long accum a)
— Runtime Function: short fract 
__satfractqiqq (
signed char a)
— Runtime Function: fract 
__satfractqihq (
signed char a)
— Runtime Function: long fract 
__satfractqisq (
signed char a)
— Runtime Function: long long fract 
__satfractqidq (
signed char a)
— Runtime Function: short accum 
__satfractqiha (
signed char a)
— Runtime Function: accum 
__satfractqisa (
signed char a)
— Runtime Function: long accum 
__satfractqida (
signed char a)
— Runtime Function: long long accum 
__satfractqita (
signed char a)
— Runtime Function: unsigned short fract 
__satfractqiuqq (
signed char a)
— Runtime Function: unsigned fract 
__satfractqiuhq (
signed char a)
— Runtime Function: unsigned long fract 
__satfractqiusq (
signed char a)
— Runtime Function: unsigned long long fract 
__satfractqiudq (
signed char a)
— Runtime Function: unsigned short accum 
__satfractqiuha (
signed char a)
— Runtime Function: unsigned accum 
__satfractqiusa (
signed char a)
— Runtime Function: unsigned long accum 
__satfractqiuda (
signed char a)
— Runtime Function: unsigned long long accum 
__satfractqiuta (
signed char a)
— Runtime Function: short fract 
__satfracthiqq (
short a)
— Runtime Function: fract 
__satfracthihq (
short a)
— Runtime Function: long fract 
__satfracthisq (
short a)
— Runtime Function: long long fract 
__satfracthidq (
short a)
— Runtime Function: short accum 
__satfracthiha (
short a)
— Runtime Function: accum 
__satfracthisa (
short a)
— Runtime Function: long accum 
__satfracthida (
short a)
— Runtime Function: long long accum 
__satfracthita (
short a)
— Runtime Function: unsigned short fract 
__satfracthiuqq (
short a)
— Runtime Function: unsigned fract 
__satfracthiuhq (
short a)
— Runtime Function: unsigned long fract 
__satfracthiusq (
short a)
— Runtime Function: unsigned long long fract 
__satfracthiudq (
short a)
— Runtime Function: unsigned short accum 
__satfracthiuha (
short a)
— Runtime Function: unsigned accum 
__satfracthiusa (
short a)
— Runtime Function: unsigned long accum 
__satfracthiuda (
short a)
— Runtime Function: unsigned long long accum 
__satfracthiuta (
short a)
— Runtime Function: short fract 
__satfractsiqq (
int a)
— Runtime Function: fract 
__satfractsihq (
int a)
— Runtime Function: long fract 
__satfractsisq (
int a)
— Runtime Function: long long fract 
__satfractsidq (
int a)
— Runtime Function: short accum 
__satfractsiha (
int a)
— Runtime Function: accum 
__satfractsisa (
int a)
— Runtime Function: long accum 
__satfractsida (
int a)
— Runtime Function: long long accum 
__satfractsita (
int a)
— Runtime Function: unsigned short fract 
__satfractsiuqq (
int a)
— Runtime Function: unsigned fract 
__satfractsiuhq (
int a)
— Runtime Function: unsigned long fract 
__satfractsiusq (
int a)
— Runtime Function: unsigned long long fract 
__satfractsiudq (
int a)
— Runtime Function: unsigned short accum 
__satfractsiuha (
int a)
— Runtime Function: unsigned accum 
__satfractsiusa (
int a)
— Runtime Function: unsigned long accum 
__satfractsiuda (
int a)
— Runtime Function: unsigned long long accum 
__satfractsiuta (
int a)
— Runtime Function: short fract 
__satfractdiqq (
long a)
— Runtime Function: fract 
__satfractdihq (
long a)
— Runtime Function: long fract 
__satfractdisq (
long a)
— Runtime Function: long long fract 
__satfractdidq (
long a)
— Runtime Function: short accum 
__satfractdiha (
long a)
— Runtime Function: accum 
__satfractdisa (
long a)
— Runtime Function: long accum 
__satfractdida (
long a)
— Runtime Function: long long accum 
__satfractdita (
long a)
— Runtime Function: unsigned short fract 
__satfractdiuqq (
long a)
— Runtime Function: unsigned fract 
__satfractdiuhq (
long a)
— Runtime Function: unsigned long fract 
__satfractdiusq (
long a)
— Runtime Function: unsigned long long fract 
__satfractdiudq (
long a)
— Runtime Function: unsigned short accum 
__satfractdiuha (
long a)
— Runtime Function: unsigned accum 
__satfractdiusa (
long a)
— Runtime Function: unsigned long accum 
__satfractdiuda (
long a)
— Runtime Function: unsigned long long accum 
__satfractdiuta (
long a)
— Runtime Function: short fract 
__satfracttiqq (
long long a)
— Runtime Function: fract 
__satfracttihq (
long long a)
— Runtime Function: long fract 
__satfracttisq (
long long a)
— Runtime Function: long long fract 
__satfracttidq (
long long a)
— Runtime Function: short accum 
__satfracttiha (
long long a)
— Runtime Function: accum 
__satfracttisa (
long long a)
— Runtime Function: long accum 
__satfracttida (
long long a)
— Runtime Function: long long accum 
__satfracttita (
long long a)
— Runtime Function: unsigned short fract 
__satfracttiuqq (
long long a)
— Runtime Function: unsigned fract 
__satfracttiuhq (
long long a)
— Runtime Function: unsigned long fract 
__satfracttiusq (
long long a)
— Runtime Function: unsigned long long fract 
__satfracttiudq (
long long a)
— Runtime Function: unsigned short accum 
__satfracttiuha (
long long a)
— Runtime Function: unsigned accum 
__satfracttiusa (
long long a)
— Runtime Function: unsigned long accum 
__satfracttiuda (
long long a)
— Runtime Function: unsigned long long accum 
__satfracttiuta (
long long a)
— Runtime Function: short fract 
__satfractsfqq (
float a)
— Runtime Function: fract 
__satfractsfhq (
float a)
— Runtime Function: long fract 
__satfractsfsq (
float a)
— Runtime Function: long long fract 
__satfractsfdq (
float a)
— Runtime Function: short accum 
__satfractsfha (
float a)
— Runtime Function: accum 
__satfractsfsa (
float a)
— Runtime Function: long accum 
__satfractsfda (
float a)
— Runtime Function: long long accum 
__satfractsfta (
float a)
— Runtime Function: unsigned short fract 
__satfractsfuqq (
float a)
— Runtime Function: unsigned fract 
__satfractsfuhq (
float a)
— Runtime Function: unsigned long fract 
__satfractsfusq (
float a)
— Runtime Function: unsigned long long fract 
__satfractsfudq (
float a)
— Runtime Function: unsigned short accum 
__satfractsfuha (
float a)
— Runtime Function: unsigned accum 
__satfractsfusa (
float a)
— Runtime Function: unsigned long accum 
__satfractsfuda (
float a)
— Runtime Function: unsigned long long accum 
__satfractsfuta (
float a)
— Runtime Function: short fract 
__satfractdfqq (
double a)
— Runtime Function: fract 
__satfractdfhq (
double a)
— Runtime Function: long fract 
__satfractdfsq (
double a)
— Runtime Function: long long fract 
__satfractdfdq (
double a)
— Runtime Function: short accum 
__satfractdfha (
double a)
— Runtime Function: accum 
__satfractdfsa (
double a)
— Runtime Function: long accum 
__satfractdfda (
double a)
— Runtime Function: long long accum 
__satfractdfta (
double a)
— Runtime Function: unsigned short fract 
__satfractdfuqq (
double a)
— Runtime Function: unsigned fract 
__satfractdfuhq (
double a)
— Runtime Function: unsigned long fract 
__satfractdfusq (
double a)
— Runtime Function: unsigned long long fract 
__satfractdfudq (
double a)
— Runtime Function: unsigned short accum 
__satfractdfuha (
double a)
— Runtime Function: unsigned accum 
__satfractdfusa (
double a)
— Runtime Function: unsigned long accum 
__satfractdfuda (
double a)
— Runtime Function: unsigned long long accum 
__satfractdfuta (
double a)
The functions convert from fractional and signed non-fractionals to
fractionals, with saturation. 
— Runtime Function: unsigned char 
__fractunsqqqi (
short fract a)
— Runtime Function: unsigned short 
__fractunsqqhi (
short fract a)
— Runtime Function: unsigned int 
__fractunsqqsi (
short fract a)
— Runtime Function: unsigned long 
__fractunsqqdi (
short fract a)
— Runtime Function: unsigned long long 
__fractunsqqti (
short fract a)
— Runtime Function: unsigned char 
__fractunshqqi (
fract a)
— Runtime Function: unsigned short 
__fractunshqhi (
fract a)
— Runtime Function: unsigned int 
__fractunshqsi (
fract a)
— Runtime Function: unsigned long 
__fractunshqdi (
fract a)
— Runtime Function: unsigned long long 
__fractunshqti (
fract a)
— Runtime Function: unsigned char 
__fractunssqqi (
long fract a)
— Runtime Function: unsigned short 
__fractunssqhi (
long fract a)
— Runtime Function: unsigned int 
__fractunssqsi (
long fract a)
— Runtime Function: unsigned long 
__fractunssqdi (
long fract a)
— Runtime Function: unsigned long long 
__fractunssqti (
long fract a)
— Runtime Function: unsigned char 
__fractunsdqqi (
long long fract a)
— Runtime Function: unsigned short 
__fractunsdqhi (
long long fract a)
— Runtime Function: unsigned int 
__fractunsdqsi (
long long fract a)
— Runtime Function: unsigned long 
__fractunsdqdi (
long long fract a)
— Runtime Function: unsigned long long 
__fractunsdqti (
long long fract a)
— Runtime Function: unsigned char 
__fractunshaqi (
short accum a)
— Runtime Function: unsigned short 
__fractunshahi (
short accum a)
— Runtime Function: unsigned int 
__fractunshasi (
short accum a)
— Runtime Function: unsigned long 
__fractunshadi (
short accum a)
— Runtime Function: unsigned long long 
__fractunshati (
short accum a)
— Runtime Function: unsigned char 
__fractunssaqi (
accum a)
— Runtime Function: unsigned short 
__fractunssahi (
accum a)
— Runtime Function: unsigned int 
__fractunssasi (
accum a)
— Runtime Function: unsigned long 
__fractunssadi (
accum a)
— Runtime Function: unsigned long long 
__fractunssati (
accum a)
— Runtime Function: unsigned char 
__fractunsdaqi (
long accum a)
— Runtime Function: unsigned short 
__fractunsdahi (
long accum a)
— Runtime Function: unsigned int 
__fractunsdasi (
long accum a)
— Runtime Function: unsigned long 
__fractunsdadi (
long accum a)
— Runtime Function: unsigned long long 
__fractunsdati (
long accum a)
— Runtime Function: unsigned char 
__fractunstaqi (
long long accum a)
— Runtime Function: unsigned short 
__fractunstahi (
long long accum a)
— Runtime Function: unsigned int 
__fractunstasi (
long long accum a)
— Runtime Function: unsigned long 
__fractunstadi (
long long accum a)
— Runtime Function: unsigned long long 
__fractunstati (
long long accum a)
— Runtime Function: unsigned char 
__fractunsuqqqi (
unsigned short fract a)
— Runtime Function: unsigned short 
__fractunsuqqhi (
unsigned short fract a)
— Runtime Function: unsigned int 
__fractunsuqqsi (
unsigned short fract a)
— Runtime Function: unsigned long 
__fractunsuqqdi (
unsigned short fract a)
— Runtime Function: unsigned long long 
__fractunsuqqti (
unsigned short fract a)
— Runtime Function: unsigned char 
__fractunsuhqqi (
unsigned fract a)
— Runtime Function: unsigned short 
__fractunsuhqhi (
unsigned fract a)
— Runtime Function: unsigned int 
__fractunsuhqsi (
unsigned fract a)
— Runtime Function: unsigned long 
__fractunsuhqdi (
unsigned fract a)
— Runtime Function: unsigned long long 
__fractunsuhqti (
unsigned fract a)
— Runtime Function: unsigned char 
__fractunsusqqi (
unsigned long fract a)
— Runtime Function: unsigned short 
__fractunsusqhi (
unsigned long fract a)
— Runtime Function: unsigned int 
__fractunsusqsi (
unsigned long fract a)
— Runtime Function: unsigned long 
__fractunsusqdi (
unsigned long fract a)
— Runtime Function: unsigned long long 
__fractunsusqti (
unsigned long fract a)
— Runtime Function: unsigned char 
__fractunsudqqi (
unsigned long long fract a)
— Runtime Function: unsigned short 
__fractunsudqhi (
unsigned long long fract a)
— Runtime Function: unsigned int 
__fractunsudqsi (
unsigned long long fract a)
— Runtime Function: unsigned long 
__fractunsudqdi (
unsigned long long fract a)
— Runtime Function: unsigned long long 
__fractunsudqti (
unsigned long long fract a)
— Runtime Function: unsigned char 
__fractunsuhaqi (
unsigned short accum a)
— Runtime Function: unsigned short 
__fractunsuhahi (
unsigned short accum a)
— Runtime Function: unsigned int 
__fractunsuhasi (
unsigned short accum a)
— Runtime Function: unsigned long 
__fractunsuhadi (
unsigned short accum a)
— Runtime Function: unsigned long long 
__fractunsuhati (
unsigned short accum a)
— Runtime Function: unsigned char 
__fractunsusaqi (
unsigned accum a)
— Runtime Function: unsigned short 
__fractunsusahi (
unsigned accum a)
— Runtime Function: unsigned int 
__fractunsusasi (
unsigned accum a)
— Runtime Function: unsigned long 
__fractunsusadi (
unsigned accum a)
— Runtime Function: unsigned long long 
__fractunsusati (
unsigned accum a)
— Runtime Function: unsigned char 
__fractunsudaqi (
unsigned long accum a)
— Runtime Function: unsigned short 
__fractunsudahi (
unsigned long accum a)
— Runtime Function: unsigned int 
__fractunsudasi (
unsigned long accum a)
— Runtime Function: unsigned long 
__fractunsudadi (
unsigned long accum a)
— Runtime Function: unsigned long long 
__fractunsudati (
unsigned long accum a)
— Runtime Function: unsigned char 
__fractunsutaqi (
unsigned long long accum a)
— Runtime Function: unsigned short 
__fractunsutahi (
unsigned long long accum a)
— Runtime Function: unsigned int 
__fractunsutasi (
unsigned long long accum a)
— Runtime Function: unsigned long 
__fractunsutadi (
unsigned long long accum a)
— Runtime Function: unsigned long long 
__fractunsutati (
unsigned long long accum a)
— Runtime Function: short fract 
__fractunsqiqq (
unsigned char a)
— Runtime Function: fract 
__fractunsqihq (
unsigned char a)
— Runtime Function: long fract 
__fractunsqisq (
unsigned char a)
— Runtime Function: long long fract 
__fractunsqidq (
unsigned char a)
— Runtime Function: short accum 
__fractunsqiha (
unsigned char a)
— Runtime Function: accum 
__fractunsqisa (
unsigned char a)
— Runtime Function: long accum 
__fractunsqida (
unsigned char a)
— Runtime Function: long long accum 
__fractunsqita (
unsigned char a)
— Runtime Function: unsigned short fract 
__fractunsqiuqq (
unsigned char a)
— Runtime Function: unsigned fract 
__fractunsqiuhq (
unsigned char a)
— Runtime Function: unsigned long fract 
__fractunsqiusq (
unsigned char a)
— Runtime Function: unsigned long long fract 
__fractunsqiudq (
unsigned char a)
— Runtime Function: unsigned short accum 
__fractunsqiuha (
unsigned char a)
— Runtime Function: unsigned accum 
__fractunsqiusa (
unsigned char a)
— Runtime Function: unsigned long accum 
__fractunsqiuda (
unsigned char a)
— Runtime Function: unsigned long long accum 
__fractunsqiuta (
unsigned char a)
— Runtime Function: short fract 
__fractunshiqq (
unsigned short a)
— Runtime Function: fract 
__fractunshihq (
unsigned short a)
— Runtime Function: long fract 
__fractunshisq (
unsigned short a)
— Runtime Function: long long fract 
__fractunshidq (
unsigned short a)
— Runtime Function: short accum 
__fractunshiha (
unsigned short a)
— Runtime Function: accum 
__fractunshisa (
unsigned short a)
— Runtime Function: long accum 
__fractunshida (
unsigned short a)
— Runtime Function: long long accum 
__fractunshita (
unsigned short a)
— Runtime Function: unsigned short fract 
__fractunshiuqq (
unsigned short a)
— Runtime Function: unsigned fract 
__fractunshiuhq (
unsigned short a)
— Runtime Function: unsigned long fract 
__fractunshiusq (
unsigned short a)
— Runtime Function: unsigned long long fract 
__fractunshiudq (
unsigned short a)
— Runtime Function: unsigned short accum 
__fractunshiuha (
unsigned short a)
— Runtime Function: unsigned accum 
__fractunshiusa (
unsigned short a)
— Runtime Function: unsigned long accum 
__fractunshiuda (
unsigned short a)
— Runtime Function: unsigned long long accum 
__fractunshiuta (
unsigned short a)
— Runtime Function: short fract 
__fractunssiqq (
unsigned int a)
— Runtime Function: fract 
__fractunssihq (
unsigned int a)
— Runtime Function: long fract 
__fractunssisq (
unsigned int a)
— Runtime Function: long long fract 
__fractunssidq (
unsigned int a)
— Runtime Function: short accum 
__fractunssiha (
unsigned int a)
— Runtime Function: accum 
__fractunssisa (
unsigned int a)
— Runtime Function: long accum 
__fractunssida (
unsigned int a)
— Runtime Function: long long accum 
__fractunssita (
unsigned int a)
— Runtime Function: unsigned short fract 
__fractunssiuqq (
unsigned int a)
— Runtime Function: unsigned fract 
__fractunssiuhq (
unsigned int a)
— Runtime Function: unsigned long fract 
__fractunssiusq (
unsigned int a)
— Runtime Function: unsigned long long fract 
__fractunssiudq (
unsigned int a)
— Runtime Function: unsigned short accum 
__fractunssiuha (
unsigned int a)
— Runtime Function: unsigned accum 
__fractunssiusa (
unsigned int a)
— Runtime Function: unsigned long accum 
__fractunssiuda (
unsigned int a)
— Runtime Function: unsigned long long accum 
__fractunssiuta (
unsigned int a)
— Runtime Function: short fract 
__fractunsdiqq (
unsigned long a)
— Runtime Function: fract 
__fractunsdihq (
unsigned long a)
— Runtime Function: long fract 
__fractunsdisq (
unsigned long a)
— Runtime Function: long long fract 
__fractunsdidq (
unsigned long a)
— Runtime Function: short accum 
__fractunsdiha (
unsigned long a)
— Runtime Function: accum 
__fractunsdisa (
unsigned long a)
— Runtime Function: long accum 
__fractunsdida (
unsigned long a)
— Runtime Function: long long accum 
__fractunsdita (
unsigned long a)
— Runtime Function: unsigned short fract 
__fractunsdiuqq (
unsigned long a)
— Runtime Function: unsigned fract 
__fractunsdiuhq (
unsigned long a)
— Runtime Function: unsigned long fract 
__fractunsdiusq (
unsigned long a)
— Runtime Function: unsigned long long fract 
__fractunsdiudq (
unsigned long a)
— Runtime Function: unsigned short accum 
__fractunsdiuha (
unsigned long a)
— Runtime Function: unsigned accum 
__fractunsdiusa (
unsigned long a)
— Runtime Function: unsigned long accum 
__fractunsdiuda (
unsigned long a)
— Runtime Function: unsigned long long accum 
__fractunsdiuta (
unsigned long a)
— Runtime Function: short fract 
__fractunstiqq (
unsigned long long a)
— Runtime Function: fract 
__fractunstihq (
unsigned long long a)
— Runtime Function: long fract 
__fractunstisq (
unsigned long long a)
— Runtime Function: long long fract 
__fractunstidq (
unsigned long long a)
— Runtime Function: short accum 
__fractunstiha (
unsigned long long a)
— Runtime Function: accum 
__fractunstisa (
unsigned long long a)
— Runtime Function: long accum 
__fractunstida (
unsigned long long a)
— Runtime Function: long long accum 
__fractunstita (
unsigned long long a)
— Runtime Function: unsigned short fract 
__fractunstiuqq (
unsigned long long a)
— Runtime Function: unsigned fract 
__fractunstiuhq (
unsigned long long a)
— Runtime Function: unsigned long fract 
__fractunstiusq (
unsigned long long a)
— Runtime Function: unsigned long long fract 
__fractunstiudq (
unsigned long long a)
— Runtime Function: unsigned short accum 
__fractunstiuha (
unsigned long long a)
— Runtime Function: unsigned accum 
__fractunstiusa (
unsigned long long a)
— Runtime Function: unsigned long accum 
__fractunstiuda (
unsigned long long a)
— Runtime Function: unsigned long long accum 
__fractunstiuta (
unsigned long long a)
These functions convert from fractionals to unsigned non-fractionals;
and from unsigned non-fractionals to fractionals, without saturation. 
— Runtime Function: short fract 
__satfractunsqiqq (
unsigned char a)
— Runtime Function: fract 
__satfractunsqihq (
unsigned char a)
— Runtime Function: long fract 
__satfractunsqisq (
unsigned char a)
— Runtime Function: long long fract 
__satfractunsqidq (
unsigned char a)
— Runtime Function: short accum 
__satfractunsqiha (
unsigned char a)
— Runtime Function: accum 
__satfractunsqisa (
unsigned char a)
— Runtime Function: long accum 
__satfractunsqida (
unsigned char a)
— Runtime Function: long long accum 
__satfractunsqita (
unsigned char a)
— Runtime Function: unsigned short fract 
__satfractunsqiuqq (
unsigned char a)
— Runtime Function: unsigned fract 
__satfractunsqiuhq (
unsigned char a)
— Runtime Function: unsigned long fract 
__satfractunsqiusq (
unsigned char a)
— Runtime Function: unsigned long long fract 
__satfractunsqiudq (
unsigned char a)
— Runtime Function: unsigned short accum 
__satfractunsqiuha (
unsigned char a)
— Runtime Function: unsigned accum 
__satfractunsqiusa (
unsigned char a)
— Runtime Function: unsigned long accum 
__satfractunsqiuda (
unsigned char a)
— Runtime Function: unsigned long long accum 
__satfractunsqiuta (
unsigned char a)
— Runtime Function: short fract 
__satfractunshiqq (
unsigned short a)
— Runtime Function: fract 
__satfractunshihq (
unsigned short a)
— Runtime Function: long fract 
__satfractunshisq (
unsigned short a)
— Runtime Function: long long fract 
__satfractunshidq (
unsigned short a)
— Runtime Function: short accum 
__satfractunshiha (
unsigned short a)
— Runtime Function: accum 
__satfractunshisa (
unsigned short a)
— Runtime Function: long accum 
__satfractunshida (
unsigned short a)
— Runtime Function: long long accum 
__satfractunshita (
unsigned short a)
— Runtime Function: unsigned short fract 
__satfractunshiuqq (
unsigned short a)
— Runtime Function: unsigned fract 
__satfractunshiuhq (
unsigned short a)
— Runtime Function: unsigned long fract 
__satfractunshiusq (
unsigned short a)
— Runtime Function: unsigned long long fract 
__satfractunshiudq (
unsigned short a)
— Runtime Function: unsigned short accum 
__satfractunshiuha (
unsigned short a)
— Runtime Function: unsigned accum 
__satfractunshiusa (
unsigned short a)
— Runtime Function: unsigned long accum 
__satfractunshiuda (
unsigned short a)
— Runtime Function: unsigned long long accum 
__satfractunshiuta (
unsigned short a)
— Runtime Function: short fract 
__satfractunssiqq (
unsigned int a)
— Runtime Function: fract 
__satfractunssihq (
unsigned int a)
— Runtime Function: long fract 
__satfractunssisq (
unsigned int a)
— Runtime Function: long long fract 
__satfractunssidq (
unsigned int a)
— Runtime Function: short accum 
__satfractunssiha (
unsigned int a)
— Runtime Function: accum 
__satfractunssisa (
unsigned int a)
— Runtime Function: long accum 
__satfractunssida (
unsigned int a)
— Runtime Function: long long accum 
__satfractunssita (
unsigned int a)
— Runtime Function: unsigned short fract 
__satfractunssiuqq (
unsigned int a)
— Runtime Function: unsigned fract 
__satfractunssiuhq (
unsigned int a)
— Runtime Function: unsigned long fract 
__satfractunssiusq (
unsigned int a)
— Runtime Function: unsigned long long fract 
__satfractunssiudq (
unsigned int a)
— Runtime Function: unsigned short accum 
__satfractunssiuha (
unsigned int a)
— Runtime Function: unsigned accum 
__satfractunssiusa (
unsigned int a)
— Runtime Function: unsigned long accum 
__satfractunssiuda (
unsigned int a)
— Runtime Function: unsigned long long accum 
__satfractunssiuta (
unsigned int a)
— Runtime Function: short fract 
__satfractunsdiqq (
unsigned long a)
— Runtime Function: fract 
__satfractunsdihq (
unsigned long a)
— Runtime Function: long fract 
__satfractunsdisq (
unsigned long a)
— Runtime Function: long long fract 
__satfractunsdidq (
unsigned long a)
— Runtime Function: short accum 
__satfractunsdiha (
unsigned long a)
— Runtime Function: accum 
__satfractunsdisa (
unsigned long a)
— Runtime Function: long accum 
__satfractunsdida (
unsigned long a)
— Runtime Function: long long accum 
__satfractunsdita (
unsigned long a)
— Runtime Function: unsigned short fract 
__satfractunsdiuqq (
unsigned long a)
— Runtime Function: unsigned fract 
__satfractunsdiuhq (
unsigned long a)
— Runtime Function: unsigned long fract 
__satfractunsdiusq (
unsigned long a)
— Runtime Function: unsigned long long fract 
__satfractunsdiudq (
unsigned long a)
— Runtime Function: unsigned short accum 
__satfractunsdiuha (
unsigned long a)
— Runtime Function: unsigned accum 
__satfractunsdiusa (
unsigned long a)
— Runtime Function: unsigned long accum 
__satfractunsdiuda (
unsigned long a)
— Runtime Function: unsigned long long accum 
__satfractunsdiuta (
unsigned long a)
— Runtime Function: short fract 
__satfractunstiqq (
unsigned long long a)
— Runtime Function: fract 
__satfractunstihq (
unsigned long long a)
— Runtime Function: long fract 
__satfractunstisq (
unsigned long long a)
— Runtime Function: long long fract 
__satfractunstidq (
unsigned long long a)
— Runtime Function: short accum 
__satfractunstiha (
unsigned long long a)
— Runtime Function: accum 
__satfractunstisa (
unsigned long long a)
— Runtime Function: long accum 
__satfractunstida (
unsigned long long a)
— Runtime Function: long long accum 
__satfractunstita (
unsigned long long a)
— Runtime Function: unsigned short fract 
__satfractunstiuqq (
unsigned long long a)
— Runtime Function: unsigned fract 
__satfractunstiuhq (
unsigned long long a)
— Runtime Function: unsigned long fract 
__satfractunstiusq (
unsigned long long a)
— Runtime Function: unsigned long long fract 
__satfractunstiudq (
unsigned long long a)
— Runtime Function: unsigned short accum 
__satfractunstiuha (
unsigned long long a)
— Runtime Function: unsigned accum 
__satfractunstiusa (
unsigned long long a)
— Runtime Function: unsigned long accum 
__satfractunstiuda (
unsigned long long a)
— Runtime Function: unsigned long long accum 
__satfractunstiuta (
unsigned long long a)
These functions convert from unsigned non-fractionals to fractionals,
with saturation.