JIT: implement frsqrte
Mostly a straightforward translation of the interpreter code, with a few tricksy optimizations and fallbacks for rare paths.
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c72a133206
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@ -90,6 +90,84 @@ u32 ClassifyFloat(float fvalue)
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}
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}
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const int frsqrte_expected_base[] =
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{
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0x3ffa000, 0x3c29000, 0x38aa000, 0x3572000,
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0x3279000, 0x2fb7000, 0x2d26000, 0x2ac0000,
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0x2881000, 0x2665000, 0x2468000, 0x2287000,
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0x20c1000, 0x1f12000, 0x1d79000, 0x1bf4000,
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0x1a7e800, 0x17cb800, 0x1552800, 0x130c000,
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0x10f2000, 0x0eff000, 0x0d2e000, 0x0b7c000,
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0x09e5000, 0x0867000, 0x06ff000, 0x05ab800,
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0x046a000, 0x0339800, 0x0218800, 0x0105800,
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};
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const int frsqrte_expected_dec[] =
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{
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0x7a4, 0x700, 0x670, 0x5f2,
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0x584, 0x524, 0x4cc, 0x47e,
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0x43a, 0x3fa, 0x3c2, 0x38e,
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0x35e, 0x332, 0x30a, 0x2e6,
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0x568, 0x4f3, 0x48d, 0x435,
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0x3e7, 0x3a2, 0x365, 0x32e,
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0x2fc, 0x2d0, 0x2a8, 0x283,
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0x261, 0x243, 0x226, 0x20b,
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};
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double ApproximateReciprocalSquareRoot(double val)
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{
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union
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{
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double valf;
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s64 vali;
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};
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valf = val;
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s64 mantissa = vali & ((1LL << 52) - 1);
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s64 sign = vali & (1ULL << 63);
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s64 exponent = vali & (0x7FFLL << 52);
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// Special case 0
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if (mantissa == 0 && exponent == 0)
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return sign ? -std::numeric_limits<double>::infinity() :
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std::numeric_limits<double>::infinity();
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// Special case NaN-ish numbers
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if (exponent == (0x7FFLL << 52))
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{
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if (mantissa == 0)
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{
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if (sign)
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return std::numeric_limits<double>::quiet_NaN();
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return 0.0;
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}
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return 0.0 + valf;
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}
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// Negative numbers return NaN
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if (sign)
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return std::numeric_limits<double>::quiet_NaN();
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if (!exponent)
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{
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// "Normalize" denormal values
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do
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{
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exponent -= 1LL << 52;
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mantissa <<= 1;
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} while (!(mantissa & (1LL << 52)));
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mantissa &= (1LL << 52) - 1;
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exponent += 1LL << 52;
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}
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bool odd_exponent = !(exponent & (1LL << 52));
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exponent = ((0x3FFLL << 52) - ((exponent - (0x3FELL << 52)) / 2)) & (0x7FFLL << 52);
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int i = (int)(mantissa >> 37);
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vali = sign | exponent;
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int index = i / 2048 + (odd_exponent ? 16 : 0);
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vali |= (s64)(frsqrte_expected_base[index] - frsqrte_expected_dec[index] * (i % 2048)) << 26;
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return valf;
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}
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} // namespace
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@ -123,6 +123,12 @@ u32 ClassifyDouble(double dvalue);
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// More efficient float version.
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u32 ClassifyFloat(float fvalue);
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extern const int frsqrte_expected_base[];
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extern const int frsqrte_expected_dec[];
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// The PowerPC approximate square root algorithm
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double ApproximateReciprocalSquareRoot(double val);
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template<class T>
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struct Rectangle
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{
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@ -386,6 +386,29 @@ union UReg_MSR
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#define FPRF_SHIFT 12
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#define FPRF_MASK (0x1F << FPRF_SHIFT)
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// FPSCR exception flags
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const u32 FPSCR_FX = 1U << (31 - 0);
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const u32 FPSCR_FEX = 1U << (31 - 1);
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const u32 FPSCR_VX = 1U << (31 - 2);
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const u32 FPSCR_OX = 1U << (31 - 3);
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const u32 FPSCR_UX = 1U << (31 - 4);
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const u32 FPSCR_ZX = 1U << (31 - 5);
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const u32 FPSCR_XX = 1U << (31 - 6);
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const u32 FPSCR_VXSNAN = 1U << (31 - 7);
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const u32 FPSCR_VXISI = 1U << (31 - 8);
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const u32 FPSCR_VXIDI = 1U << (31 - 9);
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const u32 FPSCR_VXZDZ = 1U << (31 - 10);
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const u32 FPSCR_VXIMZ = 1U << (31 - 11);
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const u32 FPSCR_VXVC = 1U << (31 - 12);
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const u32 FPSCR_VXSOFT = 1U << (31 - 21);
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const u32 FPSCR_VXSQRT = 1U << (31 - 22);
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const u32 FPSCR_VXCVI = 1U << (31 - 23);
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const u32 FPSCR_VX_ANY = FPSCR_VXSNAN | FPSCR_VXISI | FPSCR_VXIDI | FPSCR_VXZDZ | FPSCR_VXIMZ |
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FPSCR_VXVC | FPSCR_VXSOFT | FPSCR_VXSQRT | FPSCR_VXCVI;
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const u32 FPSCR_ANY_X = FPSCR_OX | FPSCR_UX | FPSCR_ZX | FPSCR_XX | FPSCR_VX_ANY;
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// Floating Point Status and Control Register
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union UReg_FPSCR
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{
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@ -16,27 +16,6 @@
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#define MIN_SINGLE 0xc7efffffe0000000ull
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#define MAX_SINGLE 0x47efffffe0000000ull
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// FPSCR exception flags
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const u32 FPSCR_OX = (u32)1 << (31 - 3);
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const u32 FPSCR_UX = (u32)1 << (31 - 4);
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const u32 FPSCR_ZX = (u32)1 << (31 - 5);
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// ! XX shouldn't be accessed directly to set 1. Use SetFI() instead !
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const u32 FPSCR_XX = (u32)1 << (31 - 6);
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const u32 FPSCR_VXSNAN = (u32)1 << (31 - 7);
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const u32 FPSCR_VXISI = (u32)1 << (31 - 8);
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const u32 FPSCR_VXIDI = (u32)1 << (31 - 9);
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const u32 FPSCR_VXZDZ = (u32)1 << (31 - 10);
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const u32 FPSCR_VXIMZ = (u32)1 << (31 - 11);
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const u32 FPSCR_VXVC = (u32)1 << (31 - 12);
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const u32 FPSCR_VXSOFT = (u32)1 << (31 - 21);
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const u32 FPSCR_VXSQRT = (u32)1 << (31 - 22);
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const u32 FPSCR_VXCVI = (u32)1 << (31 - 23);
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const u32 FPSCR_VX_ANY = FPSCR_VXSNAN | FPSCR_VXISI | FPSCR_VXIDI | FPSCR_VXZDZ |
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FPSCR_VXIMZ | FPSCR_VXVC | FPSCR_VXSOFT | FPSCR_VXSQRT | FPSCR_VXCVI;
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const u32 FPSCR_ANY_X = FPSCR_OX | FPSCR_UX | FPSCR_ZX | FPSCR_XX | FPSCR_VX_ANY;
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const u64 PPC_NAN_U64 = 0x7ff8000000000000ull;
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const double PPC_NAN = *(double* const)&PPC_NAN_U64;
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@ -346,79 +325,3 @@ inline double ApproximateReciprocal(double val)
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return valf;
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}
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inline double ApproximateReciprocalSquareRoot(double val)
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{
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static const int expected_base[] = {
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0x3ffa000, 0x3c29000, 0x38aa000, 0x3572000,
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0x3279000, 0x2fb7000, 0x2d26000, 0x2ac0000,
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0x2881000, 0x2665000, 0x2468000, 0x2287000,
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0x20c1000, 0x1f12000, 0x1d79000, 0x1bf4000,
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0x1a7e800, 0x17cb800, 0x1552800, 0x130c000,
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0x10f2000, 0x0eff000, 0x0d2e000, 0x0b7c000,
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0x09e5000, 0x0867000, 0x06ff000, 0x05ab800,
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0x046a000, 0x0339800, 0x0218800, 0x0105800,
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};
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static const int expected_dec[] = {
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0x7a4, 0x700, 0x670, 0x5f2,
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0x584, 0x524, 0x4cc, 0x47e,
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0x43a, 0x3fa, 0x3c2, 0x38e,
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0x35e, 0x332, 0x30a, 0x2e6,
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0x568, 0x4f3, 0x48d, 0x435,
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0x3e7, 0x3a2, 0x365, 0x32e,
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0x2fc, 0x2d0, 0x2a8, 0x283,
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0x261, 0x243, 0x226, 0x20b,
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};
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union
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{
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double valf;
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s64 vali;
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};
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valf = val;
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s64 mantissa = vali & ((1LL << 52) - 1);
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s64 sign = vali & (1ULL << 63);
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s64 exponent = vali & (0x7FFLL << 52);
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// Special case 0
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if (mantissa == 0 && exponent == 0)
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return sign ? -std::numeric_limits<double>::infinity() :
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std::numeric_limits<double>::infinity();
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// Special case NaN-ish numbers
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if (exponent == (0x7FFLL << 52))
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{
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if (mantissa == 0)
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{
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if (sign)
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return std::numeric_limits<double>::quiet_NaN();
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return 0.0;
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}
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return 0.0 + valf;
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}
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// Negative numbers return NaN
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if (sign)
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return std::numeric_limits<double>::quiet_NaN();
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if (!exponent)
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{
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// "Normalize" denormal values
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do
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{
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exponent -= 1LL << 52;
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mantissa <<= 1;
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} while (!(mantissa & (1LL << 52)));
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mantissa &= (1LL << 52) - 1;
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exponent += 1LL << 52;
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}
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bool odd_exponent = !(exponent & (1LL << 52));
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exponent = ((0x3FFLL << 52) - ((exponent - (0x3FELL << 52)) / 2)) & (0x7FFLL << 52);
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int i = (int)(mantissa >> 37);
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vali = sign | exponent;
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int index = i / 2048 + (odd_exponent ? 16 : 0);
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vali |= (s64)(expected_base[index] - expected_dec[index] * (i % 2048)) << 26;
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return valf;
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}
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@ -189,6 +189,7 @@ public:
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void fctiwx(UGeckoInstruction inst);
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void fmrx(UGeckoInstruction inst);
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void frspx(UGeckoInstruction inst);
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void frsqrtex(UGeckoInstruction inst);
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void cmpXX(UGeckoInstruction inst);
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@ -360,7 +360,7 @@ static GekkoOPTemplate table63_2[] =
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{22, &Jit64::FallBackToInterpreter}, //"fsqrtx", OPTYPE_FPU, FL_RC_BIT_F}},
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{23, &Jit64::FallBackToInterpreter}, //"fselx", OPTYPE_FPU, FL_RC_BIT_F}},
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{25, &Jit64::fp_arith}, //"fmulx", OPTYPE_FPU, FL_RC_BIT_F}},
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{26, &Jit64::FallBackToInterpreter}, //"frsqrtex", OPTYPE_FPU, FL_RC_BIT_F}},
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{26, &Jit64::frsqrtex}, //"frsqrtex", OPTYPE_FPU, FL_RC_BIT_F}},
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{28, &Jit64::fmaddXX}, //"fmsubx", OPTYPE_FPU, FL_RC_BIT_F}},
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{29, &Jit64::fmaddXX}, //"fmaddx", OPTYPE_FPU, FL_RC_BIT_F}},
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{30, &Jit64::fmaddXX}, //"fnmsubx", OPTYPE_FPU, FL_RC_BIT_F}},
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@ -149,6 +149,8 @@ void Jit64AsmRoutineManager::GenerateCommon()
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GenFifoWrite(32);
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fifoDirectWriteFloat = AlignCode4();
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GenFifoFloatWrite();
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frsqrte = AlignCode4();
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GenFrsqrte();
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GenQuantizedLoads();
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GenQuantizedStores();
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@ -366,3 +366,23 @@ void Jit64::frspx(UGeckoInstruction inst)
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SetFPRFIfNeeded(inst, fpr.RX(d));
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fpr.UnlockAll();
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}
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void Jit64::frsqrtex(UGeckoInstruction inst)
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{
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INSTRUCTION_START
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JITDISABLE(bJITFloatingPointOff);
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FALLBACK_IF(inst.Rc);
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int b = inst.FB;
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int d = inst.FD;
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// rsqrtex requires ECX and EDX free
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gpr.FlushLockX(ECX, EDX);
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fpr.Lock(b, d);
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fpr.BindToRegister(d, d == b);
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MOVSD(XMM0, fpr.R(b));
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CALL((void *)asm_routines.frsqrte);
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MOVSD(fpr.R(d), XMM0);
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SetFPRFIfNeeded(inst, fpr.RX(d));
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fpr.UnlockAll();
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gpr.UnlockAllX();
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}
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@ -3,6 +3,7 @@
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// Refer to the license.txt file included.
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#include "Common/CPUDetect.h"
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#include "Common/MathUtil.h"
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#include "Common/MemoryUtil.h"
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#include "Core/PowerPC/JitCommon/JitAsmCommon.h"
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@ -51,6 +52,71 @@ void CommonAsmRoutines::GenFifoFloatWrite()
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RET();
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}
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void CommonAsmRoutines::GenFrsqrte()
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{
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// Assume input in XMM0.
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// This function clobbers EAX, ECX, and EDX.
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MOVQ_xmm(R(RAX), XMM0);
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// Negative and zero inputs set an exception and take the complex path.
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TEST(64, R(RAX), R(RAX));
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FixupBranch zero = J_CC(CC_Z, true);
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FixupBranch negative = J_CC(CC_S, true);
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MOV(64, R(RCX), R(RAX));
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SHR(64, R(RCX), Imm8(52));
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// Zero and max exponents (non-normal floats) take the complex path.
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FixupBranch complex1 = J_CC(CC_Z, true);
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CMP(32, R(ECX), Imm32(0x7FF));
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FixupBranch complex2 = J_CC(CC_E, true);
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SUB(32, R(ECX), Imm32(0x3FD));
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SAR(32, R(ECX), Imm8(1));
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MOV(32, R(EDX), Imm32(0x3FF));
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SUB(32, R(EDX), R(ECX));
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SHL(64, R(RDX), Imm8(52)); // exponent = ((0x3FFLL << 52) - ((exponent - (0x3FELL << 52)) / 2)) & (0x7FFLL << 52);
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MOV(64, R(RCX), R(RAX));
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SHR(64, R(RCX), Imm8(48));
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AND(32, R(ECX), Imm8(0x1F));
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XOR(32, R(ECX), Imm8(0x10)); // int index = i / 2048 + (odd_exponent ? 16 : 0);
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SHR(64, R(RAX), Imm8(37));
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AND(32, R(EAX), Imm32(0x7FF));
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IMUL(32, EAX, MScaled(RCX, SCALE_4, (u32)(u64)MathUtil::frsqrte_expected_dec));
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MOV(32, R(ECX), MScaled(RCX, SCALE_4, (u32)(u64)MathUtil::frsqrte_expected_base));
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SUB(32, R(ECX), R(EAX));
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SHL(64, R(RCX), Imm8(26));
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OR(64, R(RDX), R(RCX)); // vali |= (s64)(frsqrte_expected_base[index] - frsqrte_expected_dec[index] * (i % 2048)) << 26;
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MOVQ_xmm(XMM0, R(RDX));
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RET();
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// Exception flags for zero input.
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SetJumpTarget(zero);
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TEST(32, M(&FPSCR), Imm32(FPSCR_ZX));
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FixupBranch skip_set_fx1 = J_CC(CC_NZ);
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OR(32, M(&FPSCR), Imm32(FPSCR_FX));
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SetJumpTarget(skip_set_fx1);
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OR(32, M(&FPSCR), Imm32(FPSCR_ZX));
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FixupBranch complex3 = J();
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// Exception flags for negative input.
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SetJumpTarget(negative);
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TEST(32, M(&FPSCR), Imm32(FPSCR_VXSQRT));
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FixupBranch skip_set_fx2 = J_CC(CC_NZ);
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OR(32, M(&FPSCR), Imm32(FPSCR_FX));
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SetJumpTarget(skip_set_fx2);
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OR(32, M(&FPSCR), Imm32(FPSCR_VXSQRT));
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SetJumpTarget(complex1);
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SetJumpTarget(complex2);
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SetJumpTarget(complex3);
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ABI_PushRegistersAndAdjustStack(QUANTIZED_REGS_TO_SAVE, false);
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ABI_CallFunction((void *)&MathUtil::ApproximateReciprocalSquareRoot);
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ABI_PopRegistersAndAdjustStack(QUANTIZED_REGS_TO_SAVE, false);
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RET();
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}
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// Safe + Fast Quantizers, originally from JITIL by magumagu
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static const u8 GC_ALIGNED16(pbswapShuffle1x4[16]) = {3, 2, 1, 0, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15};
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@ -24,6 +24,8 @@ public:
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const u8 *dispatchPcInEAX;
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const u8 *doTiming;
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const u8 *frsqrte;
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// In: array index: GQR to use.
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// In: ECX: Address to read from.
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// Out: XMM0: Bottom two 32-bit slots hold the read value,
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@ -56,5 +58,6 @@ public:
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void GenFifoWrite(int size);
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void GenFifoXmm64Write();
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void GenFifoFloatWrite();
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void GenFrsqrte();
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};
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