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)
{
decContext context;
decNumber dn_result;
DEC_TYPE result;
decNumber dn_x;
decNumber dn_two;
DEC_TYPE two = DFP_CONSTANT(2.0);
FUNC_CONVERT_TO_DN (&two, &dn_two);
FUNC_CONVERT_TO_DN (&x, &dn_x);
if (decNumberIsNaN (&dn_x))
return x+x;
if (decNumberIsInfinite (&dn_x) )
return decNumberIsNegative (&dn_x) ? DFP_CONSTANT(0.0) : x;
decContextDefault (&context, DEFAULT_CONTEXT);
/* decNumberPow (&dn_result, &dn_two, &dn_x, &context); */
decNumberPower (&dn_result, &dn_two, &dn_x, &context);
FUNC_CONVERT_FROM_DN (&dn_result, &result, &context);
if(context.status & DEC_Overflow)
DFP_EXCEPT (FE_OVERFLOW);
return result;
}
_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;
}
static DEC_TYPE
IEEE_FUNCTION_NAME (DEC_TYPE x)
{
decContext context;
decNumber dn_result;
DEC_TYPE result;
decNumber dn_x;
FUNC_CONVERT_TO_DN(&x, &dn_x);
if (decNumberIsNaN (&dn_x))
return x+x;
if (decNumberIsZero (&dn_x)) /* If x == 0: Pole Error */
{
DFP_EXCEPT (FE_DIVBYZERO);
return -DFP_HUGE_VAL;
}
if (decNumberIsNegative (&dn_x)) /* If x < 0,: Domain Error */
{
DFP_EXCEPT (FE_INVALID);
return DFP_NAN;
}
if (decNumberIsInfinite (&dn_x))
return x;
decContextDefault (&context, DEFAULT_CONTEXT);
decNumberLn(&dn_result, &dn_x, &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, one;
decNumber dn_x, dn_one;
one = DFP_CONSTANT(1.0);
FUNC_CONVERT_TO_DN (&one, &dn_one);
FUNC_CONVERT_TO_DN (&x, &dn_x);
if (decNumberIsNaN (&dn_x) || decNumberIsZero (&dn_x)
|| decNumberIsInfinite (&dn_x))
{
return x + x;
}
decContextDefault (&context, DEFAULT_CONTEXT);
/* using trig identity: acosh(x) = log(x+sqrt(x*x-1)) */
decNumberMultiply (&dn_result, &dn_x, &dn_x, &context);
decNumberAdd (&dn_result, &dn_result, &dn_one, &context);
decNumberSquareRoot (&dn_result, &dn_result, &context);
decNumberAdd (&dn_result, &dn_result, &dn_x, &context);
decNumberLn (&dn_result, &dn_result, &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;
FUNC_CONVERT_TO_DN (&x, &dn_x);
decContextDefault (&context, DEFAULT_CONTEXT);
if (decNumberIsInfinite (&dn_x))
{
if (decNumberIsNegative (&dn_x))
result = -M_PI_2dl;
else
result = M_PI_2dl;
}
else
{
decNumberAtan (&dn_result, &dn_x, &context);
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;
}
static DEC_TYPE
IEEE_FUNCTION_NAME (DEC_TYPE x)
{
decContext context;
decNumber dn_result;
DEC_TYPE result;
decNumber dn_x;
decNumber dn_one;
decNumber dn_exponent;
DEC_TYPE one = DFP_CONSTANT(1.0);
FUNC_CONVERT_TO_DN(&x, &dn_x);
FUNC_CONVERT_TO_DN(&one, &dn_one);
if (decNumberIsNaN (&dn_x))
return x+x;
if (decNumberIsInfinite (&dn_x))
return decNumberIsNegative (&dn_x) ? DFP_CONSTANT(-1.0) : x;
decContextDefault(&context, DEFAULT_CONTEXT);
decNumberExp(&dn_exponent, &dn_x, &context);
decNumberSubtract(&dn_result, &dn_exponent, &dn_one, &context);
FUNC_CONVERT_FROM_DN(&dn_result, &result, &context);
if (context.status & DEC_Overflow)
DFP_EXCEPT (FE_OVERFLOW);
return result;
}
static __ROUND_RETURN_TYPE
IEEE_FUNCTION_NAME (DEC_TYPE x)
{
DEC_TYPE result;
decContext context;
decNumber dn_result;
decNumber dn_x;
FUNC_CONVERT_TO_DN (&x, &dn_x);
if (decNumberIsNaN (&dn_x) || decNumberIsInfinite (&dn_x)
|| x > __MAX_VALUE || x < __MIN_VALUE)
{
DFP_EXCEPT (FE_INVALID);
return (__ROUND_RETURN_TYPE) x;
}
decContextDefault (&context, DEFAULT_CONTEXT);
context.round = __ROUND_MODE;
decNumberToIntegralValue (&dn_result,&dn_x,&context);
FUNC_CONVERT_FROM_DN(&dn_result, &result, &context);
/* Use _Decimal* to __ROUND_RETURN_TYPE casting. */
return (__ROUND_RETURN_TYPE)result;
/* return (__ROUND_RETURN_TYPE)decNumberToInteger (&dn_result); */
}
int
__fpclassifyd64 (_Decimal64 x)
{
decNumber dn_x;
decContext context;
FUNC_CONVERT_TO_DN (&x, &dn_x);
if (decNumberIsNaN (&dn_x))
return FP_NAN;
else if (decNumberIsInfinite (&dn_x))
return FP_INFINITE;
else if (decNumberIsZero (&dn_x))
return FP_ZERO;
/* Since DFP value are not normalized, checking the exponent for
normal/subnormal is not suffice. For instance, the value 10e-96 will
result in a expoenent below the minimum, however it is still a FP_NORMAL
number due implicit normalization. TO avoid such traps the check relies
on runtime comparisons. */
decContextDefault (&context, DEC_INIT_DECIMAL64);
if (decNumberIsSubnormal (&dn_x, &context))
return FP_SUBNORMAL;
return FP_NORMAL;
}
static void
decimal_from_decnumber (REAL_VALUE_TYPE *r, decNumber *dn, decContext *context)
{
memset (r, 0, sizeof (REAL_VALUE_TYPE));
r->cl = rvc_normal;
if (decNumberIsZero (dn))
r->cl = rvc_zero;
if (decNumberIsNaN (dn))
r->cl = rvc_nan;
if (decNumberIsInfinite (dn))
r->cl = rvc_inf;
if (context->status & DEC_Overflow)
r->cl = rvc_inf;
if (decNumberIsNegative (dn))
r->sign = 1;
r->decimal = 1;
if (r->cl != rvc_normal)
return;
decContextDefault (context, DEC_INIT_DECIMAL128);
context->traps = 0;
decimal128FromNumber ((decimal128 *) r->sig, dn, context);
}
int
isinfd32 (_Decimal32 arg)
{
decNumber dn;
decimal32 d32;
__host_to_ieee_32 (arg, &d32);
decimal32ToNumber (&d32, &dn);
return (decNumberIsInfinite (&dn));
}
int
isinfd64 (_Decimal64 arg)
{
decNumber dn;
decimal64 d64;
__host_to_ieee_64 (arg, &d64);
decimal64ToNumber (&d64, &dn);
return (decNumberIsInfinite (&dn));
}
int
isinfd128 (_Decimal128 arg)
{
decNumber dn;
decimal128 d128;
__host_to_ieee_128 (arg, &d128);
decimal128ToNumber (&d128, &dn);
return (decNumberIsInfinite (&dn));
}
const DecimalDecNumber &DecimalDecNumber::operator /=(const DecimalDecNumber &rhs)
{
if (decNumberIsNaN(&m_value) || decNumberIsNaN(&rhs.m_value))
{
// FTHROW(InvalidStateException, "Performing arithmetic on uninitialised decimal [Nan]");
throw("Performing arithmetic on uninitialised decimal [Nan]");
}
if (decNumberIsZero(&rhs.m_value))
{
// FTHROW(LogicError, "Division by zero");
throw("Division by zero");
}
if (decNumberIsInfinite(&m_value) || decNumberIsInfinite(&rhs.m_value))
{
throw("Cannot divide infinity by infinity");
}
decNumberDivide(&m_value, &m_value, &rhs.m_value, &m_context);
return *this;
}
/* Compute a factorial.
* Currently, only for positive integer arguments. Needs to be extended
* to a full gamma function.
*/
decNumber *decNumberFactorial(decNumber *r, const decNumber *x, decContext *ctx) {
decNumber y, const_1;
int_to_dn(&const_1, 1, ctx);
decNumberCopy(&y, x);
if (!decNumberIsNegative(x) || decNumberIsZero(x)) {
decNumberCopy(r, &const_1);
for (;;) {
if (decNumberIsZero(&y))
break;
if (decNumberIsInfinite(r))
break;
decNumberMultiply(r, r, &y, ctx);
decNumberSubtract(&y, &y, &const_1, ctx);
}
}
return r;
}
static DEC_TYPE
IEEE_FUNCTION_NAME (DEC_TYPE x)
{
decContext context;
decNumber dn_result;
DEC_TYPE result;
decNumber dn_x;
decNumber dn_sum;
decNumber dn_one;
DEC_TYPE one = DFP_CONSTANT(1.0);
FUNC_CONVERT_TO_DN (&x, &dn_x);
FUNC_CONVERT_TO_DN (&one, &dn_one);
/* For NaN, 0, or +Inf, just return x */
if (decNumberIsNaN (&dn_x) || decNumberIsZero (&dn_x) ||
(decNumberIsInfinite (&dn_x) && !decNumberIsNegative (&dn_x)))
return x+x;
decContextDefault(&context, DEFAULT_CONTEXT);
decNumberAdd(&dn_sum, &dn_x, &dn_one, &context);
if (decNumberIsZero(&dn_sum)) /* Pole Error if x was -1 */
{
DFP_EXCEPT (FE_DIVBYZERO);
return -DFP_HUGE_VAL;
}
if (decNumberIsNegative(&dn_sum)) /* Domain Error if x < -1 */
{
DFP_EXCEPT (FE_INVALID);
return DFP_NAN;
}
decNumberLn(&dn_result, &dn_sum, &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;
FUNC_CONVERT_TO_DN (&x, &dn_x);
if (decNumberIsNaN (&dn_x) || decNumberIsInfinite (&dn_x) ||
decNumberIsZero (&dn_x))
return x+x;
decContextDefault (&context, DEFAULT_CONTEXT);
context.round = __ROUND_MODE;
decNumberToIntegralValue (&dn_result, &dn_x, &context);
FUNC_CONVERT_FROM_DN (&dn_result, &result, &context);
if (context.status & DEC_Overflow)
DFP_EXCEPT (FE_OVERFLOW);
return result;
}
int DecimalDecNumber::isInfinity() const
{
if (decNumberIsInfinite(&m_value))
return isNegative() ? -1 : 1;
return 0;
}
uint32_t decSingleIsInfinite (const decSingle* _0) noexcept
{
decNumber _0num;
decSingleToNumber (_0, &_0num);
return decNumberIsInfinite (&_0num);
}
bool DecimalDecNumber::isValid() const
{
return !decNumberIsNaN(&m_value) && !decNumberIsInfinite(&m_value);
}
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;
}