void poly_sine(FPU_REG *st0_ptr)
{
int exponent, echange;
Xsig accumulator, argSqrd, argTo4;
unsigned long fix_up, adj;
unsigned long long fixed_arg;
FPU_REG result;
exponent = exponent(st0_ptr);
accumulator.lsw = accumulator.midw = accumulator.msw = 0;
if ((exponent < -1)
|| ((exponent == -1) && (st0_ptr->sigh <= 0xe21240aa))) {
argSqrd.msw = st0_ptr->sigh;
argSqrd.midw = st0_ptr->sigl;
argSqrd.lsw = 0;
mul64_Xsig(&argSqrd, &significand(st0_ptr));
shr_Xsig(&argSqrd, 2 * (-1 - exponent));
argTo4.msw = argSqrd.msw;
argTo4.midw = argSqrd.midw;
argTo4.lsw = argSqrd.lsw;
mul_Xsig_Xsig(&argTo4, &argTo4);
polynomial_Xsig(&accumulator, &XSIG_LL(argTo4), neg_terms_l,
N_COEFF_N - 1);
mul_Xsig_Xsig(&accumulator, &argSqrd);
negate_Xsig(&accumulator);
polynomial_Xsig(&accumulator, &XSIG_LL(argTo4), pos_terms_l,
N_COEFF_P - 1);
shr_Xsig(&accumulator, 2);
accumulator.msw |= 0x80000000;
mul64_Xsig(&accumulator, &significand(st0_ptr));
mul64_Xsig(&accumulator, &significand(st0_ptr));
mul64_Xsig(&accumulator, &significand(st0_ptr));
exponent = 3 * exponent;
shr_Xsig(&accumulator, exponent(st0_ptr) - exponent);
negate_Xsig(&accumulator);
XSIG_LL(accumulator) += significand(st0_ptr);
echange = round_Xsig(&accumulator);
setexponentpos(&result, exponent(st0_ptr) + echange);
} else {
fixed_arg = significand(st0_ptr);
if (exponent == 0) {
fixed_arg <<= 1;
}
fixed_arg = 0x921fb54442d18469LL - fixed_arg;
if (fixed_arg == 0xffffffffffffffffLL)
fixed_arg = 0;
XSIG_LL(argSqrd) = fixed_arg;
argSqrd.lsw = 0;
mul64_Xsig(&argSqrd, &fixed_arg);
XSIG_LL(argTo4) = XSIG_LL(argSqrd);
argTo4.lsw = argSqrd.lsw;
mul_Xsig_Xsig(&argTo4, &argTo4);
polynomial_Xsig(&accumulator, &XSIG_LL(argTo4), neg_terms_h,
N_COEFF_NH - 1);
mul_Xsig_Xsig(&accumulator, &argSqrd);
negate_Xsig(&accumulator);
polynomial_Xsig(&accumulator, &XSIG_LL(argTo4), pos_terms_h,
N_COEFF_PH - 1);
negate_Xsig(&accumulator);
mul64_Xsig(&accumulator, &fixed_arg);
mul64_Xsig(&accumulator, &fixed_arg);
shr_Xsig(&accumulator, 3);
negate_Xsig(&accumulator);
add_Xsig_Xsig(&accumulator, &argSqrd);
shr_Xsig(&accumulator, 1);
accumulator.lsw |= 1;
negate_Xsig(&accumulator);
fix_up = 0x898cc517;
if (argSqrd.msw & 0xffc00000) {
fix_up -= mul_32_32(0x898cc517, argSqrd.msw) / 6;
}
fix_up = mul_32_32(fix_up, LL_MSW(fixed_arg));
adj = accumulator.lsw;
accumulator.lsw -= fix_up;
if (accumulator.lsw > adj)
XSIG_LL(accumulator)--;
echange = round_Xsig(&accumulator);
setexponentpos(&result, echange - 1);
}
significand(&result) = XSIG_LL(accumulator);
setsign(&result, getsign(st0_ptr));
FPU_copy_to_reg0(&result, TAG_Valid);
#ifdef PARANOID
if ((exponent(&result) >= 0)
&& (significand(&result) > 0x8000000000000000LL)) {
EXCEPTION(EX_INTERNAL | 0x150);
}
#endif
}
static void fxtract(FPU_REG *st0_ptr, u_char st0_tag)
{
FPU_REG *st_new_ptr;
u_char sign;
register FPU_REG *st1_ptr = st0_ptr;
if (STACK_OVERFLOW) {
FPU_stack_overflow();
return;
}
clear_C1();
if (st0_tag == TAG_Valid) {
long e;
push();
sign = getsign(st1_ptr);
reg_copy(st1_ptr, st_new_ptr);
setexponent16(st_new_ptr, exponent(st_new_ptr));
denormal_arg:
e = exponent16(st_new_ptr);
convert_l2reg(&e, 1);
setexponentpos(st_new_ptr, 0);
setsign(st_new_ptr, sign);
FPU_settag0(TAG_Valid);
return;
} else if (st0_tag == TAG_Zero) {
sign = getsign(st0_ptr);
if (FPU_divide_by_zero(0, SIGN_NEG) < 0)
return;
push();
FPU_copy_to_reg0(&CONST_Z, TAG_Zero);
setsign(st_new_ptr, sign);
return;
}
if (st0_tag == TAG_Special)
st0_tag = FPU_Special(st0_ptr);
if (st0_tag == TW_Denormal) {
if (denormal_operand() < 0)
return;
push();
sign = getsign(st1_ptr);
FPU_to_exp16(st1_ptr, st_new_ptr);
goto denormal_arg;
} else if (st0_tag == TW_Infinity) {
sign = getsign(st0_ptr);
setpositive(st0_ptr);
push();
FPU_copy_to_reg0(&CONST_INF, TAG_Special);
setsign(st_new_ptr, sign);
return;
} else if (st0_tag == TW_NaN) {
if (real_1op_NaN(st0_ptr) < 0)
return;
push();
FPU_copy_to_reg0(st0_ptr, TAG_Special);
return;
} else if (st0_tag == TAG_Empty) {
if (control_word & EX_Invalid) {
FPU_stack_underflow();
push();
FPU_stack_underflow();
} else
EXCEPTION(EX_StackUnder);
}
#ifdef PARANOID
else
EXCEPTION(EX_INTERNAL | 0x119);
#endif
}
void poly_cos(FPU_REG *st0_ptr)
{
FPU_REG result;
long int exponent, exp2, echange;
Xsig accumulator, argSqrd, fix_up, argTo4;
unsigned long long fixed_arg;
#ifdef PARANOID
if ((exponent(st0_ptr) > 0)
|| ((exponent(st0_ptr) == 0)
&& (significand(st0_ptr) > 0xc90fdaa22168c234LL))) {
EXCEPTION(EX_Invalid);
FPU_copy_to_reg0(&CONST_QNaN, TAG_Special);
return;
}
#endif
exponent = exponent(st0_ptr);
accumulator.lsw = accumulator.midw = accumulator.msw = 0;
if ((exponent < -1)
|| ((exponent == -1) && (st0_ptr->sigh <= 0xb00d6f54))) {
argSqrd.msw = st0_ptr->sigh;
argSqrd.midw = st0_ptr->sigl;
argSqrd.lsw = 0;
mul64_Xsig(&argSqrd, &significand(st0_ptr));
if (exponent < -1) {
shr_Xsig(&argSqrd, 2 * (-1 - exponent));
}
argTo4.msw = argSqrd.msw;
argTo4.midw = argSqrd.midw;
argTo4.lsw = argSqrd.lsw;
mul_Xsig_Xsig(&argTo4, &argTo4);
polynomial_Xsig(&accumulator, &XSIG_LL(argTo4), neg_terms_h,
N_COEFF_NH - 1);
mul_Xsig_Xsig(&accumulator, &argSqrd);
negate_Xsig(&accumulator);
polynomial_Xsig(&accumulator, &XSIG_LL(argTo4), pos_terms_h,
N_COEFF_PH - 1);
negate_Xsig(&accumulator);
mul64_Xsig(&accumulator, &significand(st0_ptr));
mul64_Xsig(&accumulator, &significand(st0_ptr));
shr_Xsig(&accumulator, -2 * (1 + exponent));
shr_Xsig(&accumulator, 3);
negate_Xsig(&accumulator);
add_Xsig_Xsig(&accumulator, &argSqrd);
shr_Xsig(&accumulator, 1);
negate_Xsig(&accumulator);
if (accumulator.lsw & 0x80000000)
XSIG_LL(accumulator)++;
if (accumulator.msw == 0) {
FPU_copy_to_reg0(&CONST_1, TAG_Valid);
return;
} else {
significand(&result) = XSIG_LL(accumulator);
setexponentpos(&result, -1);
}
} else {
fixed_arg = significand(st0_ptr);
if (exponent == 0) {
fixed_arg <<= 1;
}
fixed_arg = 0x921fb54442d18469LL - fixed_arg;
if (fixed_arg == 0xffffffffffffffffLL)
fixed_arg = 0;
exponent = -1;
exp2 = -1;
if (!(LL_MSW(fixed_arg) & 0xffff0000)) {
fixed_arg <<= 16;
exponent -= 16;
exp2 -= 16;
}
XSIG_LL(argSqrd) = fixed_arg;
argSqrd.lsw = 0;
mul64_Xsig(&argSqrd, &fixed_arg);
if (exponent < -1) {
shr_Xsig(&argSqrd, 2 * (-1 - exponent));
}
argTo4.msw = argSqrd.msw;
argTo4.midw = argSqrd.midw;
argTo4.lsw = argSqrd.lsw;
mul_Xsig_Xsig(&argTo4, &argTo4);
polynomial_Xsig(&accumulator, &XSIG_LL(argTo4), neg_terms_l,
N_COEFF_N - 1);
mul_Xsig_Xsig(&accumulator, &argSqrd);
negate_Xsig(&accumulator);
polynomial_Xsig(&accumulator, &XSIG_LL(argTo4), pos_terms_l,
N_COEFF_P - 1);
shr_Xsig(&accumulator, 2);
accumulator.msw |= 0x80000000;
mul64_Xsig(&accumulator, &fixed_arg);
mul64_Xsig(&accumulator, &fixed_arg);
mul64_Xsig(&accumulator, &fixed_arg);
exponent = 3 * exponent;
shr_Xsig(&accumulator, exp2 - exponent);
negate_Xsig(&accumulator);
XSIG_LL(accumulator) += fixed_arg;
XSIG_LL(fix_up) = 0x898cc51701b839a2ll;
fix_up.lsw = 0;
if (argSqrd.msw & 0xffc00000) {
fix_up.msw -= mul_32_32(0x898cc517, argSqrd.msw) / 2;
fix_up.msw += mul_32_32(0x898cc517, argTo4.msw) / 24;
}
exp2 += norm_Xsig(&accumulator);
shr_Xsig(&accumulator, 1);
exp2++;
shr_Xsig(&fix_up, 65 + exp2);
add_Xsig_Xsig(&accumulator, &fix_up);
echange = round_Xsig(&accumulator);
setexponentpos(&result, exp2 + echange);
significand(&result) = XSIG_LL(accumulator);
}
FPU_copy_to_reg0(&result, TAG_Valid);
#ifdef PARANOID
if ((exponent(&result) >= 0)
&& (significand(&result) > 0x8000000000000000LL)) {
EXCEPTION(EX_INTERNAL | 0x151);
}
#endif
}
