_Decimal128
__quantumd128 (_Decimal128 x)
{
decNumber dn_x;
decNumber dn_result;
decContext context;
_Decimal128 result;
FUNC_CONVERT_TO_DN (&x, &dn_x);
if (decNumberIsNaN (&dn_x) || decNumberIsZero (&dn_x))
return x;
if (decNumberIsInfinite (&dn_x))
return DEC_INFINITY;
/* The quantum of a finite number is defined as 1 x 10^exponent, so
first get input absolute value and then sets its coefficient to 1. */
decContextDefault (&context, DEFAULT_CONTEXT);
decNumberAbs (&dn_result, &dn_x, &context);
dn_result.digits = 1;
dn_result.lsu[0] = 1;
FUNC_CONVERT_FROM_DN (&dn_result, &result, &context);
return result;
}
_RETURN_TYPE
INTERNAL_FUNCTION_NAME (DEC_TYPE x)
{
DEC_TYPE result;
decContext context;
decNumber dn_result;
decNumber dn_x;
decNumber dn_absx;
decNumber dn_logx;
decNumber dn_one;
decNumber dn_cmp;
enum rounding round;
FUNC_CONVERT_TO_DN (&x, &dn_x);
if (decNumberIsZero (&dn_x))
{
DFP_EXCEPT (FE_INVALID);
DFP_ERRNO (EDOM);
return _FBLOG0;
}
if (decNumberIsInfinite (&dn_x))
{
DFP_EXCEPT (FE_INVALID);
DFP_ERRNO (EDOM);
return decNumberIsNegative (&dn_x) ? _MIN_VALUE : _MAX_VALUE;
}
if (decNumberIsNaN (&dn_x))
{
DFP_EXCEPT (FE_INVALID);
DFP_ERRNO (EDOM);
return _FBLOGNAN;
}
decContextDefault (&context, DEFAULT_CONTEXT);
decNumberAbs (&dn_absx, &dn_x, &context);
/* For DFP, we use radix 10 instead of whatever FLT_RADIX happens to be */
decNumberLog10 (&dn_logx, &dn_absx, &context);
/* Capture the case where truncation will return the wrong result,
by rounding up if -1.0 < x < 1.0 */
round = DEC_ROUND_DOWN;
decNumberFromInt32 (&dn_one, 1);
decNumberCompare (&dn_cmp, &dn_x, &dn_one, &context);
if (-decNumberIsNegative(&dn_cmp))
{
decNumberFromInt32 (&dn_one, -1);
decNumberCompare (&dn_cmp, &dn_x, &dn_one, &context);
if (!decNumberIsNegative(&dn_cmp) && !decNumberIsZero(&dn_cmp))
round = DEC_ROUND_UP;
}
context.round = round;
decNumberToIntegralValue (&dn_result, &dn_logx, &context);
FUNC_CONVERT_FROM_DN (&dn_result, &result, &context);
/* Use _Decimal* to int casting. */
return (_RETURN_TYPE) result;
}
void* decSingleAbs (decSingle* _0, const decSingle* _1, decContext* ctx) noexcept
{
decNumber _0num;
decNumber _1num;
decSingleToNumber (_1, &_1num);
decNumberAbs (&_0num, &_1num, ctx);
return decSingleFromNumber (_0, &_0num, ctx);
}
static DEC_TYPE
IEEE_FUNCTION_NAME (DEC_TYPE x)
{
decContext context;
decNumber dn_result;
DEC_TYPE result, one, temp;
decNumber dn_x, dn_temp, dn_one;
/* int comp;*/
one=DFP_CONSTANT(1.0);
FUNC_CONVERT_TO_DN (&one, &dn_one);
FUNC_CONVERT_TO_DN (&x, &dn_x);
/* Handle NaN and early exit for x==0 */
if (decNumberIsNaN (&dn_x) || decNumberIsZero (&dn_x))
return x + x;
decContextDefault (&context, DEFAULT_CONTEXT);
decNumberAbs (&dn_temp, &dn_x, &context);
FUNC_CONVERT_FROM_DN (&dn_temp, &temp, &context);
if(temp==one) {
/* |x| == 1 -> Pole Error */
DFP_EXCEPT (FE_DIVBYZERO);
return decNumberIsNegative(&dn_x) ? -DFP_HUGE_VAL:DFP_HUGE_VAL;
} else if (temp>one) {
/* |x| > 1 -> Domain Error (this handles +-Inf too) */
DFP_EXCEPT (FE_INVALID);
return DFP_NAN;
}
// comp = decCompare (&dn_temp, &dn_one);
// switch (comp)
// {
// case 0: /* |x| == 1 -> Pole Error */
// DFP_EXCEPT (FE_DIVBYZERO);
// return decNumberIsNegative(&dn_x) ? -DFP_HUGE_VAL:DFP_HUGE_VAL;
// case 1: /* |x| > 1 -> Domain Error (this handles +-Inf too) */
// DFP_EXCEPT (FE_INVALID);
// return DFP_NAN;
// }
/* Using trig identity: atanh(x) = 1/2 * log((1+x)/(1-x)) */
decNumberAdd (&dn_result, &dn_one, &dn_x, &context);
decNumberSubtract (&dn_temp, &dn_one, &dn_x, &context);
decNumberDivide (&dn_result, &dn_result, &dn_temp, &context);
decNumberLn (&dn_result, &dn_result, &context);
decNumberAdd (&dn_temp, &dn_one, &dn_one, &context); /* 2 */
decNumberDivide (&dn_result, &dn_result, &dn_temp, &context);
FUNC_CONVERT_FROM_DN (&dn_result, &result, &context);
return result;
}
DEC_TYPE
INTERNAL_FUNCTION_NAME (DEC_TYPE x)
{
decContext context;
decNumber dn_result;
DEC_TYPE result;
decNumber dn_x;
decNumber dn_tmp;
decNumber dn_log10;
decNumber dn_one;
decNumber dn_cmp;
enum rounding round;
FUNC_CONVERT_TO_DN (&x, &dn_x);
if (decNumberIsNaN (&dn_x))
return x+x;
if (decNumberIsInfinite (&dn_x)) /* +-Inf: Inf */
return DEC_INFINITY;
if (decNumberIsZero (&dn_x)) /* Pole Error if x==0 */
{
DFP_ERRNO (ERANGE);
DFP_EXCEPT (FE_DIVBYZERO);
return -DFP_HUGE_VAL;
}
if (decNumberIsInfinite (&dn_x) && decNumberIsNegative (&dn_x))
return -x;
decContextDefault (&context, DEFAULT_CONTEXT);
decNumberAbs (&dn_tmp, &dn_x, &context);
/* For DFP, we use radix 10 instead of whatever FLT_RADIX
happens to be */
decNumberLog10 (&dn_log10, &dn_tmp, &context);
/* Capture the case where truncation will return the wrong result,
by rounding up if -1.0 < x < 1.0 */
round = DEC_ROUND_DOWN;
decNumberFromInt32 (&dn_one, 1);
decNumberCompare (&dn_cmp, &dn_x, &dn_one, &context);
if (-decNumberIsNegative(&dn_cmp))
{
decNumberFromInt32 (&dn_one, -1);
decNumberCompare (&dn_cmp, &dn_x, &dn_one, &context);
if (!decNumberIsNegative(&dn_cmp) && !decNumberIsZero(&dn_cmp))
round = DEC_ROUND_UP;
}
context.round = round;
decNumberToIntegralValue (&dn_result, &dn_log10, &context);
FUNC_CONVERT_FROM_DN (&dn_result, &result, &context);
return result;
}
static DEC_TYPE
IEEE_FUNCTION_NAME (DEC_TYPE x, DEC_TYPE y)
{
decContext context;
decNumber dn_result;
DEC_TYPE result;
DEC_TYPE absx;
decNumber dn_x;
decNumber dn_absx;
decNumber dn_y;
decNumber dn_one;
decNumber dn_two;
decNumber dn_temp;
decNumber dn_temp2;
decNumber dn_temp3;
int y_is_int;
int y_is_oddint=0;
int abs_x_vs_1;
DEC_TYPE one = DFP_CONSTANT(1.0);
DEC_TYPE two = DFP_CONSTANT(2.0);
FUNC_CONVERT_TO_DN (&x, &dn_x);
FUNC_CONVERT_TO_DN (&y, &dn_y);
FUNC_CONVERT_TO_DN (&one, &dn_one);
decContextDefault (&context, DEFAULT_CONTEXT);
if (decNumberIsZero (&dn_y))
return one;
if (decNumberIsNaN (&dn_x))
return x+x;
decNumberAbs (&dn_absx, &dn_x, &context);
FUNC_CONVERT_FROM_DN (&dn_absx, &absx, &context);
if(absx<one)
abs_x_vs_1 = -1;
else if (absx==one)
abs_x_vs_1 = 0;
else
abs_x_vs_1 = 1;
/* abs_x_vs_1 = decCompare(&dn_absx, &dn_one); */
if(abs_x_vs_1 == 0 && !decNumberIsNegative (&dn_x)) /* If x == +1 */
return one;
if (decNumberIsNaN (&dn_y))
return y+y;
/* Detect if y is odd/an integer */
decNumberToIntegralValue (&dn_temp, &dn_y, &context);
decNumberSubtract (&dn_temp2, &dn_temp, &dn_y, &context);
y_is_int = decNumberIsZero (&dn_temp2);
if (y_is_int)
{
FUNC_CONVERT_TO_DN (&two, &dn_two);
decNumberDivide (&dn_temp, &dn_y, &dn_two, &context);
decNumberToIntegralValue (&dn_temp2, &dn_temp, &context);
decNumberSubtract (&dn_temp3, &dn_temp2, &dn_temp, &context);
y_is_oddint = !decNumberIsZero (&dn_temp3);
}
/* Handle all special cases for which x = +-0 */
if (decNumberIsZero (&dn_x))
{
if(decNumberIsNegative (&dn_y))
{
if (decNumberIsInfinite (&dn_y)) /* +-0^-Inf = +Inf */
return -y;
/* Pole Error for x = +-0, y < 0 */
DFP_EXCEPT (FE_DIVBYZERO);
return decNumberIsNegative(&dn_x) && y_is_oddint ?
-DFP_HUGE_VAL : DFP_HUGE_VAL;
}
return decNumberIsNegative(&dn_x) && y_is_oddint ?
-DFP_CONSTANT(0.0) : DFP_CONSTANT(0.0);
}
/* Handle remaining special cases for x = +-Inf or y = +-Inf */
if (decNumberIsInfinite (&dn_x) || decNumberIsInfinite (&dn_y))
{
if (abs_x_vs_1 == 0) /* If (-1)^(+-Inf) */
return one;
if (abs_x_vs_1 < 0) /* x^(+-Inf), where 0<x<1 */
return decNumberIsNegative (&dn_y) ? DFP_HUGE_VAL
: DFP_CONSTANT(0.0);
if (decNumberIsNegative (&dn_y))
result = DFP_CONSTANT(0.0);
else
result = (DEC_TYPE)DEC_INFINITY;
if (y_is_oddint && decNumberIsNegative(&dn_x))
result = -result;
return result;
}
/* Domain Error: x < 0 && y is a finite non-int */
if (decNumberIsNegative (&dn_x) && !y_is_int)
{
DFP_EXCEPT (FE_INVALID);
return DFP_NAN;
}
decNumberPower (&dn_result, &dn_x, &dn_y, &context);
FUNC_CONVERT_FROM_DN (&dn_result, &result, &context);
if (context.status & DEC_Overflow)
DFP_EXCEPT (FE_OVERFLOW);
if (context.status & DEC_Underflow)
DFP_EXCEPT (FE_UNDERFLOW);
return result;
}