int floatx80_ftan(floatx80 &a)
{
UINT64 aSig0, aSig1 = 0;
INT32 aExp, zExp, expDiff;
int aSign, zSign;
int q = 0;
aSig0 = extractFloatx80Frac(a);
aExp = extractFloatx80Exp(a);
aSign = extractFloatx80Sign(a);
/* invalid argument */
if (aExp == 0x7FFF) {
if ((UINT64) (aSig0<<1))
{
a = propagateFloatx80NaNOneArg(a);
return 0;
}
float_raise(float_flag_invalid);
a = floatx80_default_nan;
return 0;
}
if (aExp == 0) {
if (aSig0 == 0) return 0;
// float_raise(float_flag_denormal);
/* handle pseudo denormals */
if (! (aSig0 & U64(0x8000000000000000)))
{
float_raise(float_flag_inexact | float_flag_underflow);
return 0;
}
normalizeFloatx80Subnormal(aSig0, &aExp, &aSig0);
}
zSign = aSign;
zExp = EXP_BIAS;
expDiff = aExp - zExp;
/* argument is out-of-range */
if (expDiff >= 63)
return -1;
float_raise(float_flag_inexact);
if (expDiff < -1) { // doesn't require reduction
if (expDiff <= -68) {
a = packFloatx80(aSign, aExp, aSig0);
return 0;
}
zExp = aExp;
}
else {
q = reduce_trig_arg(expDiff, zSign, aSig0, aSig1);
}
/* **************************** */
/* argument reduction completed */
/* **************************** */
/* using float128 for approximation */
float128 r = normalizeRoundAndPackFloat128(0, zExp-0x10, aSig0, aSig1);
float128 sin_r = poly_sin(r);
float128 cos_r = poly_cos(r);
if (q & 0x1) {
r = float128_div(cos_r, sin_r);
zSign = ! zSign;
} else {
r = float128_div(sin_r, cos_r);
}
a = float128_to_floatx80(r);
if (zSign)
a = floatx80_chs(a);
return 0;
}
int ftan(floatx80 &a, float_status_t &status)
{
Bit64u aSig0, aSig1 = 0;
Bit32s aExp, zExp, expDiff;
int aSign, zSign;
int q = 0;
// handle unsupported extended double-precision floating encodings
if (floatx80_is_unsupported(a))
{
goto invalid;
}
aSig0 = extractFloatx80Frac(a);
aExp = extractFloatx80Exp(a);
aSign = extractFloatx80Sign(a);
/* invalid argument */
if (aExp == 0x7FFF) {
if ((Bit64u) (aSig0<<1))
{
a = propagateFloatx80NaN(a, status);
return 0;
}
invalid:
float_raise(status, float_flag_invalid);
a = floatx80_default_nan;
return 0;
}
if (aExp == 0) {
if (aSig0 == 0) return 0;
float_raise(status, float_flag_denormal);
/* handle pseudo denormals */
if (! (aSig0 & BX_CONST64(0x8000000000000000)))
{
float_raise(status, float_flag_inexact | float_flag_underflow);
return 0;
}
normalizeFloatx80Subnormal(aSig0, &aExp, &aSig0);
}
zSign = aSign;
zExp = EXP_BIAS;
expDiff = aExp - zExp;
/* argument is out-of-range */
if (expDiff >= 63)
return -1;
float_raise(status, float_flag_inexact);
if (expDiff < -1) { // doesn't require reduction
if (expDiff <= -68) {
a = packFloatx80(aSign, aExp, aSig0);
return 0;
}
zExp = aExp;
}
else {
q = reduce_trig_arg(expDiff, zSign, aSig0, aSig1);
}
/* **************************** */
/* argument reduction completed */
/* **************************** */
/* using float128 for approximation */
float128 r = normalizeRoundAndPackFloat128(0, zExp-0x10, aSig0, aSig1, status);
float128 sin_r = poly_sin(r, status);
float128 cos_r = poly_cos(r, status);
if (q & 0x1) {
r = float128_div(cos_r, sin_r, status);
zSign = ! zSign;
} else {
r = float128_div(sin_r, cos_r, status);
}
a = float128_to_floatx80(r, status);
if (zSign)
floatx80_chs(a);
return 0;
}
int sf_fsincos(floatx80 a, floatx80 *sin_a, floatx80 *cos_a)
{
UINT64 aSig0, aSig1 = 0;
INT32 aExp, zExp, expDiff;
int aSign, zSign;
int q = 0;
aSig0 = extractFloatx80Frac(a);
aExp = extractFloatx80Exp(a);
aSign = extractFloatx80Sign(a);
/* invalid argument */
if (aExp == 0x7FFF) {
if ((UINT64) (aSig0<<1)) {
sincos_invalid(sin_a, cos_a, propagateFloatx80NaNOneArg(a));
return 0;
}
float_raise(float_flag_invalid);
sincos_invalid(sin_a, cos_a, floatx80_default_nan);
return 0;
}
if (aExp == 0) {
if (aSig0 == 0) {
sincos_tiny_argument(sin_a, cos_a, a);
return 0;
}
// float_raise(float_flag_denormal);
/* handle pseudo denormals */
if (! (aSig0 & U64(0x8000000000000000)))
{
float_raise(float_flag_inexact);
if (sin_a)
float_raise(float_flag_underflow);
sincos_tiny_argument(sin_a, cos_a, a);
return 0;
}
normalizeFloatx80Subnormal(aSig0, &aExp, &aSig0);
}
zSign = aSign;
zExp = EXP_BIAS;
expDiff = aExp - zExp;
/* argument is out-of-range */
if (expDiff >= 63)
return -1;
float_raise(float_flag_inexact);
if (expDiff < -1) { // doesn't require reduction
if (expDiff <= -68) {
a = packFloatx80(aSign, aExp, aSig0);
sincos_tiny_argument(sin_a, cos_a, a);
return 0;
}
zExp = aExp;
}
else {
q = reduce_trig_arg(expDiff, zSign, aSig0, aSig1);
}
/* **************************** */
/* argument reduction completed */
/* **************************** */
/* using float128 for approximation */
float128 r = normalizeRoundAndPackFloat128(0, zExp-0x10, aSig0, aSig1);
if (aSign) q = -q;
if (sin_a) *sin_a = sincos_approximation(zSign, r, q);
if (cos_a) *cos_a = sincos_approximation(zSign, r, q+1);
return 0;
}