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## src/cpu/x86/vm/macroAssembler_x86_libm.cpp

```*** 1284,1288 ****
--- 1284,4547 ----
bind(L_2TAG_PACKET_10_0_2);
}

#endif
+
+ /******************************************************************************/
+ //                     ALGORITHM DESCRIPTION - SIN()
+ //                     ---------------------
+ //
+ //     1. RANGE REDUCTION
+ //
+ //     We perform an initial range reduction from X to r with
+ //
+ //          X =~= N * pi/32 + r
+ //
+ //     so that |r| <= pi/64 + epsilon. We restrict inputs to those
+ //     where |N| <= 932560. Beyond this, the range reduction is
+ //     insufficiently accurate. For extremely small inputs,
+ //     denormalization can occur internally, impacting performance.
+ //     This means that the main path is actually only taken for
+ //     2^-252 <= |X| < 90112.
+ //
+ //     To avoid branches, we perform the range reduction to full
+ //     accuracy each time.
+ //
+ //          X - N * (P_1 + P_2 + P_3)
+ //
+ //     where P_1 and P_2 are 32-bit numbers (so multiplication by N
+ //     is exact) and P_3 is a 53-bit number. Together, these
+ //     approximate pi well enough for all cases in the restricted
+ //     range.
+ //
+ //     The main reduction sequence is:
+ //
+ //             y = 32/pi * x
+ //             N = integer(y)
+ //     (computed by adding and subtracting off SHIFTER)
+ //
+ //             m_1 = N * P_1
+ //             m_2 = N * P_2
+ //             r_1 = x - m_1
+ //             r = r_1 - m_2
+ //     (this r can be used for most of the calculation)
+ //
+ //             c_1 = r_1 - r
+ //             m_3 = N * P_3
+ //             c_2 = c_1 - m_2
+ //             c = c_2 - m_3
+ //
+ //     2. MAIN ALGORITHM
+ //
+ //     The algorithm uses a table lookup based on B = M * pi / 32
+ //     where M = N mod 64. The stored values are:
+ //       sigma             closest power of 2 to cos(B)
+ //       C_hl              53-bit cos(B) - sigma
+ //       S_hi + S_lo       2 * 53-bit sin(B)
+ //
+ //     The computation is organized as follows:
+ //
+ //          sin(B + r + c) = [sin(B) + sigma * r] +
+ //                           r * (cos(B) - sigma) +
+ //                           sin(B) * [cos(r + c) - 1] +
+ //                           cos(B) * [sin(r + c) - r]
+ //
+ //     which is approximately:
+ //
+ //          [S_hi + sigma * r] +
+ //          C_hl * r +
+ //          S_lo + S_hi * [(cos(r) - 1) - r * c] +
+ //          (C_hl + sigma) * [(sin(r) - r) + c]
+ //
+ //     and this is what is actually computed. We separate this sum
+ //     into four parts:
+ //
+ //          hi + med + pols + corr
+ //
+ //     where
+ //
+ //          hi       = S_hi + sigma r
+ //          med      = C_hl * r
+ //          pols     = S_hi * (cos(r) - 1) + (C_hl + sigma) * (sin(r) - r)
+ //          corr     = S_lo + c * ((C_hl + sigma) - S_hi * r)
+ //
+ //     3. POLYNOMIAL
+ //
+ //     The polynomial S_hi * (cos(r) - 1) + (C_hl + sigma) *
+ //     (sin(r) - r) can be rearranged freely, since it is quite
+ //     small, so we exploit parallelism to the fullest.
+ //
+ //          psc4       =   SC_4 * r_1
+ //          msc4       =   psc4 * r
+ //          r2         =   r * r
+ //          msc2       =   SC_2 * r2
+ //          r4         =   r2 * r2
+ //          psc3       =   SC_3 + msc4
+ //          psc1       =   SC_1 + msc2
+ //          msc3       =   r4 * psc3
+ //          sincospols =   psc1 + msc3
+ //          pols       =   sincospols *
+ //                         <S_hi * r^2 | (C_hl + sigma) * r^3>
+ //
+ //     4. CORRECTION TERM
+ //
+ //     This is where the "c" component of the range reduction is
+ //     taken into account; recall that just "r" is used for most of
+ //     the calculation.
+ //
+ //          -c   = m_3 - c_2
+ //          -d   = S_hi * r - (C_hl + sigma)
+ //          corr = -c * -d + S_lo
+ //
+ //     5. COMPENSATED SUMMATIONS
+ //
+ //     The two successive compensated summations add up the high
+ //     and medium parts, leaving just the low parts to add up at
+ //     the end.
+ //
+ //          rs        =  sigma * r
+ //          res_int   =  S_hi + rs
+ //          k_0       =  S_hi - res_int
+ //          k_2       =  k_0 + rs
+ //          med       =  C_hl * r
+ //          res_hi    =  res_int + med
+ //          k_1       =  res_int - res_hi
+ //          k_3       =  k_1 + med
+ //
+ //     6. FINAL SUMMATION
+ //
+ //     We now add up all the small parts:
+ //
+ //          res_lo = pols(hi) + pols(lo) + corr + k_1 + k_3
+ //
+ //     Now the overall result is just:
+ //
+ //          res_hi + res_lo
+ //
+ //     7. SMALL ARGUMENTS
+ //
+ //     If |x| < SNN (SNN meaning the smallest normal number), we
+ //     simply perform 0.1111111 cdots 1111 * x. For SNN <= |x|, we
+ //     do 2^-55 * (2^55 * x - x).
+ //
+ // Special cases:
+ //  sin(NaN) = quiet NaN, and raise invalid exception
+ //  sin(INF) = NaN and raise invalid exception
+ //  sin(+/-0) = +/-0
+ //
+ /******************************************************************************/
+
+ #ifdef _LP64
+
+ ALIGNED_(16) juint _ONEHALF[] =
+ {
+     0x00000000UL, 0x3fe00000UL, 0x00000000UL, 0x3fe00000UL
+ };
+
+ ALIGNED_(16) juint _P_2[] =
+ {
+     0x1a600000UL, 0x3d90b461UL, 0x1a600000UL, 0x3d90b461UL
+ };
+
+ ALIGNED_(16) juint _SC_4[] =
+ {
+     0xa556c734UL, 0x3ec71de3UL, 0x1a01a01aUL, 0x3efa01a0UL
+ };
+
+ ALIGNED_(16) juint _Ctable[] =
+ {
+     0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,
+     0x00000000UL, 0x00000000UL, 0x3ff00000UL, 0x176d6d31UL, 0xbf73b92eUL,
+     0xbc29b42cUL, 0x3fb917a6UL, 0xe0000000UL, 0xbc3e2718UL, 0x00000000UL,
+     0x3ff00000UL, 0x011469fbUL, 0xbf93ad06UL, 0x3c69a60bUL, 0x3fc8f8b8UL,
+     0xc0000000UL, 0xbc626d19UL, 0x00000000UL, 0x3ff00000UL, 0x939d225aUL,
+     0xbfa60beaUL, 0x2ed59f06UL, 0x3fd29406UL, 0xa0000000UL, 0xbc75d28dUL,
+     0x00000000UL, 0x3ff00000UL, 0x866b95cfUL, 0xbfb37ca1UL, 0xa6aea963UL,
+     0x3fd87de2UL, 0xe0000000UL, 0xbc672cedUL, 0x00000000UL, 0x3ff00000UL,
+     0x73fa1279UL, 0xbfbe3a68UL, 0x3806f63bUL, 0x3fde2b5dUL, 0x20000000UL,
+     0x3c5e0d89UL, 0x00000000UL, 0x3ff00000UL, 0x5bc57974UL, 0xbfc59267UL,
+     0x39ae68c8UL, 0x3fe1c73bUL, 0x20000000UL, 0x3c8b25ddUL, 0x00000000UL,
+     0x3ff00000UL, 0x53aba2fdUL, 0xbfcd0dfeUL, 0x25091dd6UL, 0x3fe44cf3UL,
+     0x20000000UL, 0x3c68076aUL, 0x00000000UL, 0x3ff00000UL, 0x99fcef32UL,
+     0x3fca8279UL, 0x667f3bcdUL, 0x3fe6a09eUL, 0x20000000UL, 0xbc8bdd34UL,
+     0x00000000UL, 0x3fe00000UL, 0x94247758UL, 0x3fc133ccUL, 0x6b151741UL,
+     0x3fe8bc80UL, 0x20000000UL, 0xbc82c5e1UL, 0x00000000UL, 0x3fe00000UL,
+     0x9ae68c87UL, 0x3fac73b3UL, 0x290ea1a3UL, 0x3fea9b66UL, 0xe0000000UL,
+     0x3c39f630UL, 0x00000000UL, 0x3fe00000UL, 0x7f909c4eUL, 0xbf9d4a2cUL,
+     0xf180bdb1UL, 0x3fec38b2UL, 0x80000000UL, 0xbc76e0b1UL, 0x00000000UL,
+     0x3fe00000UL, 0x65455a75UL, 0xbfbe0875UL, 0xcf328d46UL, 0x3fed906bUL,
+     0x20000000UL, 0x3c7457e6UL, 0x00000000UL, 0x3fe00000UL, 0x76acf82dUL,
+     0x3fa4a031UL, 0x56c62ddaUL, 0x3fee9f41UL, 0xe0000000UL, 0x3c8760b1UL,
+     0x00000000UL, 0x3fd00000UL, 0x0e5967d5UL, 0xbfac1d1fUL, 0xcff75cb0UL,
+     0x3fef6297UL, 0x20000000UL, 0x3c756217UL, 0x00000000UL, 0x3fd00000UL,
+     0x0f592f50UL, 0xbf9ba165UL, 0xa3d12526UL, 0x3fefd88dUL, 0x40000000UL,
+     0xbc887df6UL, 0x00000000UL, 0x3fc00000UL, 0x00000000UL, 0x00000000UL,
+     0x00000000UL, 0x3ff00000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,
+     0x00000000UL, 0x0f592f50UL, 0x3f9ba165UL, 0xa3d12526UL, 0x3fefd88dUL,
+     0x40000000UL, 0xbc887df6UL, 0x00000000UL, 0xbfc00000UL, 0x0e5967d5UL,
+     0x3fac1d1fUL, 0xcff75cb0UL, 0x3fef6297UL, 0x20000000UL, 0x3c756217UL,
+     0x00000000UL, 0xbfd00000UL, 0x76acf82dUL, 0xbfa4a031UL, 0x56c62ddaUL,
+     0x3fee9f41UL, 0xe0000000UL, 0x3c8760b1UL, 0x00000000UL, 0xbfd00000UL,
+     0x65455a75UL, 0x3fbe0875UL, 0xcf328d46UL, 0x3fed906bUL, 0x20000000UL,
+     0x3c7457e6UL, 0x00000000UL, 0xbfe00000UL, 0x7f909c4eUL, 0x3f9d4a2cUL,
+     0xf180bdb1UL, 0x3fec38b2UL, 0x80000000UL, 0xbc76e0b1UL, 0x00000000UL,
+     0xbfe00000UL, 0x9ae68c87UL, 0xbfac73b3UL, 0x290ea1a3UL, 0x3fea9b66UL,
+     0xe0000000UL, 0x3c39f630UL, 0x00000000UL, 0xbfe00000UL, 0x94247758UL,
+     0xbfc133ccUL, 0x6b151741UL, 0x3fe8bc80UL, 0x20000000UL, 0xbc82c5e1UL,
+     0x00000000UL, 0xbfe00000UL, 0x99fcef32UL, 0xbfca8279UL, 0x667f3bcdUL,
+     0x3fe6a09eUL, 0x20000000UL, 0xbc8bdd34UL, 0x00000000UL, 0xbfe00000UL,
+     0x53aba2fdUL, 0x3fcd0dfeUL, 0x25091dd6UL, 0x3fe44cf3UL, 0x20000000UL,
+     0x3c68076aUL, 0x00000000UL, 0xbff00000UL, 0x5bc57974UL, 0x3fc59267UL,
+     0x39ae68c8UL, 0x3fe1c73bUL, 0x20000000UL, 0x3c8b25ddUL, 0x00000000UL,
+     0xbff00000UL, 0x73fa1279UL, 0x3fbe3a68UL, 0x3806f63bUL, 0x3fde2b5dUL,
+     0x20000000UL, 0x3c5e0d89UL, 0x00000000UL, 0xbff00000UL, 0x866b95cfUL,
+     0x3fb37ca1UL, 0xa6aea963UL, 0x3fd87de2UL, 0xe0000000UL, 0xbc672cedUL,
+     0x00000000UL, 0xbff00000UL, 0x939d225aUL, 0x3fa60beaUL, 0x2ed59f06UL,
+     0x3fd29406UL, 0xa0000000UL, 0xbc75d28dUL, 0x00000000UL, 0xbff00000UL,
+     0x011469fbUL, 0x3f93ad06UL, 0x3c69a60bUL, 0x3fc8f8b8UL, 0xc0000000UL,
+     0xbc626d19UL, 0x00000000UL, 0xbff00000UL, 0x176d6d31UL, 0x3f73b92eUL,
+     0xbc29b42cUL, 0x3fb917a6UL, 0xe0000000UL, 0xbc3e2718UL, 0x00000000UL,
+     0xbff00000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,
+     0x00000000UL, 0x00000000UL, 0x00000000UL, 0xbff00000UL, 0x176d6d31UL,
+     0x3f73b92eUL, 0xbc29b42cUL, 0xbfb917a6UL, 0xe0000000UL, 0x3c3e2718UL,
+     0x00000000UL, 0xbff00000UL, 0x011469fbUL, 0x3f93ad06UL, 0x3c69a60bUL,
+     0xbfc8f8b8UL, 0xc0000000UL, 0x3c626d19UL, 0x00000000UL, 0xbff00000UL,
+     0x939d225aUL, 0x3fa60beaUL, 0x2ed59f06UL, 0xbfd29406UL, 0xa0000000UL,
+     0x3c75d28dUL, 0x00000000UL, 0xbff00000UL, 0x866b95cfUL, 0x3fb37ca1UL,
+     0xa6aea963UL, 0xbfd87de2UL, 0xe0000000UL, 0x3c672cedUL, 0x00000000UL,
+     0xbff00000UL, 0x73fa1279UL, 0x3fbe3a68UL, 0x3806f63bUL, 0xbfde2b5dUL,
+     0x20000000UL, 0xbc5e0d89UL, 0x00000000UL, 0xbff00000UL, 0x5bc57974UL,
+     0x3fc59267UL, 0x39ae68c8UL, 0xbfe1c73bUL, 0x20000000UL, 0xbc8b25ddUL,
+     0x00000000UL, 0xbff00000UL, 0x53aba2fdUL, 0x3fcd0dfeUL, 0x25091dd6UL,
+     0xbfe44cf3UL, 0x20000000UL, 0xbc68076aUL, 0x00000000UL, 0xbff00000UL,
+     0x99fcef32UL, 0xbfca8279UL, 0x667f3bcdUL, 0xbfe6a09eUL, 0x20000000UL,
+     0x3c8bdd34UL, 0x00000000UL, 0xbfe00000UL, 0x94247758UL, 0xbfc133ccUL,
+     0x6b151741UL, 0xbfe8bc80UL, 0x20000000UL, 0x3c82c5e1UL, 0x00000000UL,
+     0xbfe00000UL, 0x9ae68c87UL, 0xbfac73b3UL, 0x290ea1a3UL, 0xbfea9b66UL,
+     0xe0000000UL, 0xbc39f630UL, 0x00000000UL, 0xbfe00000UL, 0x7f909c4eUL,
+     0x3f9d4a2cUL, 0xf180bdb1UL, 0xbfec38b2UL, 0x80000000UL, 0x3c76e0b1UL,
+     0x00000000UL, 0xbfe00000UL, 0x65455a75UL, 0x3fbe0875UL, 0xcf328d46UL,
+     0xbfed906bUL, 0x20000000UL, 0xbc7457e6UL, 0x00000000UL, 0xbfe00000UL,
+     0x76acf82dUL, 0xbfa4a031UL, 0x56c62ddaUL, 0xbfee9f41UL, 0xe0000000UL,
+     0xbc8760b1UL, 0x00000000UL, 0xbfd00000UL, 0x0e5967d5UL, 0x3fac1d1fUL,
+     0xcff75cb0UL, 0xbfef6297UL, 0x20000000UL, 0xbc756217UL, 0x00000000UL,
+     0xbfd00000UL, 0x0f592f50UL, 0x3f9ba165UL, 0xa3d12526UL, 0xbfefd88dUL,
+     0x40000000UL, 0x3c887df6UL, 0x00000000UL, 0xbfc00000UL, 0x00000000UL,
+     0x00000000UL, 0x00000000UL, 0xbff00000UL, 0x00000000UL, 0x00000000UL,
+     0x00000000UL, 0x00000000UL, 0x0f592f50UL, 0xbf9ba165UL, 0xa3d12526UL,
+     0xbfefd88dUL, 0x40000000UL, 0x3c887df6UL, 0x00000000UL, 0x3fc00000UL,
+     0x0e5967d5UL, 0xbfac1d1fUL, 0xcff75cb0UL, 0xbfef6297UL, 0x20000000UL,
+     0xbc756217UL, 0x00000000UL, 0x3fd00000UL, 0x76acf82dUL, 0x3fa4a031UL,
+     0x56c62ddaUL, 0xbfee9f41UL, 0xe0000000UL, 0xbc8760b1UL, 0x00000000UL,
+     0x3fd00000UL, 0x65455a75UL, 0xbfbe0875UL, 0xcf328d46UL, 0xbfed906bUL,
+     0x20000000UL, 0xbc7457e6UL, 0x00000000UL, 0x3fe00000UL, 0x7f909c4eUL,
+     0xbf9d4a2cUL, 0xf180bdb1UL, 0xbfec38b2UL, 0x80000000UL, 0x3c76e0b1UL,
+     0x00000000UL, 0x3fe00000UL, 0x9ae68c87UL, 0x3fac73b3UL, 0x290ea1a3UL,
+     0xbfea9b66UL, 0xe0000000UL, 0xbc39f630UL, 0x00000000UL, 0x3fe00000UL,
+     0x94247758UL, 0x3fc133ccUL, 0x6b151741UL, 0xbfe8bc80UL, 0x20000000UL,
+     0x3c82c5e1UL, 0x00000000UL, 0x3fe00000UL, 0x99fcef32UL, 0x3fca8279UL,
+     0x667f3bcdUL, 0xbfe6a09eUL, 0x20000000UL, 0x3c8bdd34UL, 0x00000000UL,
+     0x3fe00000UL, 0x53aba2fdUL, 0xbfcd0dfeUL, 0x25091dd6UL, 0xbfe44cf3UL,
+     0x20000000UL, 0xbc68076aUL, 0x00000000UL, 0x3ff00000UL, 0x5bc57974UL,
+     0xbfc59267UL, 0x39ae68c8UL, 0xbfe1c73bUL, 0x20000000UL, 0xbc8b25ddUL,
+     0x00000000UL, 0x3ff00000UL, 0x73fa1279UL, 0xbfbe3a68UL, 0x3806f63bUL,
+     0xbfde2b5dUL, 0x20000000UL, 0xbc5e0d89UL, 0x00000000UL, 0x3ff00000UL,
+     0x866b95cfUL, 0xbfb37ca1UL, 0xa6aea963UL, 0xbfd87de2UL, 0xe0000000UL,
+     0x3c672cedUL, 0x00000000UL, 0x3ff00000UL, 0x939d225aUL, 0xbfa60beaUL,
+     0x2ed59f06UL, 0xbfd29406UL, 0xa0000000UL, 0x3c75d28dUL, 0x00000000UL,
+     0x3ff00000UL, 0x011469fbUL, 0xbf93ad06UL, 0x3c69a60bUL, 0xbfc8f8b8UL,
+     0xc0000000UL, 0x3c626d19UL, 0x00000000UL, 0x3ff00000UL, 0x176d6d31UL,
+     0xbf73b92eUL, 0xbc29b42cUL, 0xbfb917a6UL, 0xe0000000UL, 0x3c3e2718UL,
+     0x00000000UL, 0x3ff00000UL
+ };
+
+ ALIGNED_(16) juint _SC_2[] =
+ {
+     0x11111111UL, 0x3f811111UL, 0x55555555UL, 0x3fa55555UL
+ };
+
+ ALIGNED_(16) juint _SC_3[] =
+ {
+     0x1a01a01aUL, 0xbf2a01a0UL, 0x16c16c17UL, 0xbf56c16cUL
+ };
+
+ ALIGNED_(16) juint _SC_1[] =
+ {
+     0x55555555UL, 0xbfc55555UL, 0x00000000UL, 0xbfe00000UL
+ };
+
+ ALIGNED_(16) juint _PI_INV_TABLE[] =
+ {
+     0x00000000UL, 0x00000000UL, 0xa2f9836eUL, 0x4e441529UL, 0xfc2757d1UL,
+     0xf534ddc0UL, 0xdb629599UL, 0x3c439041UL, 0xfe5163abUL, 0xdebbc561UL,
+     0xb7246e3aUL, 0x424dd2e0UL, 0x06492eeaUL, 0x09d1921cUL, 0xfe1deb1cUL,
+     0xb129a73eUL, 0xe88235f5UL, 0x2ebb4484UL, 0xe99c7026UL, 0xb45f7e41UL,
+     0x3991d639UL, 0x835339f4UL, 0x9c845f8bUL, 0xbdf9283bUL, 0x1ff897ffUL,
+     0xde05980fUL, 0xef2f118bUL, 0x5a0a6d1fUL, 0x6d367ecfUL, 0x27cb09b7UL,
+     0x4f463f66UL, 0x9e5fea2dUL, 0x7527bac7UL, 0xebe5f17bUL, 0x3d0739f7UL,
+     0x8a5292eaUL, 0x6bfb5fb1UL, 0x1f8d5d08UL, 0x56033046UL, 0xfc7b6babUL,
+     0xf0cfbc21UL
+ };
+
+ ALIGNED_(8) juint _PI_4[] =
+ {
+     0x40000000UL, 0x3fe921fbUL, 0x18469899UL, 0x3e64442dUL
+ };
+
+ ALIGNED_(8) juint _PI32INV[] =
+ {
+     0x6dc9c883UL, 0x40245f30UL
+ };
+
+ ALIGNED_(8) juint _SHIFTER[] =
+ {
+     0x00000000UL, 0x43380000UL
+ };
+
+ {
+     0x00000000UL, 0x80000000UL
+ };
+
+ ALIGNED_(8) juint _P_3[] =
+ {
+     0x2e037073UL, 0x3b63198aUL
+ };
+
+ ALIGNED_(8) juint _ALL_ONES[] =
+ {
+     0xffffffffUL, 0x3fefffffUL
+ };
+
+ ALIGNED_(8) juint _TWO_POW_55[] =
+ {
+     0x00000000UL, 0x43600000UL
+ };
+
+ ALIGNED_(8) juint _TWO_POW_M55[] =
+ {
+     0x00000000UL, 0x3c800000ULL
+ };
+
+ ALIGNED_(8) juint _P_1[] =
+ {
+     0x54400000UL, 0x3fb921fbUL
+ };
+
+ ALIGNED_(8) juint _NEG_ZERO[] =
+ {
+     0x00000000UL, 0x80000000UL
+ };
+
+ void MacroAssembler::fast_sin(XMMRegister xmm0, XMMRegister xmm1, XMMRegister xmm2, XMMRegister xmm3, XMMRegister xmm4, XMMRegister xmm5, XMMRegister xmm6, XMMRegister xmm7, Register eax, Register ebx, Register ecx, Register edx, Register tmp1, Register tmp2, Register tmp3, Register tmp4) {
+   Label L_2TAG_PACKET_0_0_1, L_2TAG_PACKET_1_0_1, L_2TAG_PACKET_2_0_1, L_2TAG_PACKET_3_0_1;
+   Label L_2TAG_PACKET_4_0_1, L_2TAG_PACKET_5_0_1, L_2TAG_PACKET_6_0_1, L_2TAG_PACKET_7_0_1;
+   Label L_2TAG_PACKET_8_0_1, L_2TAG_PACKET_9_0_1, L_2TAG_PACKET_10_0_1, L_2TAG_PACKET_11_0_1;
+   Label L_2TAG_PACKET_13_0_1, L_2TAG_PACKET_14_0_1;
+   Label L_2TAG_PACKET_12_0_1, B1_1, B1_2, B1_4, start;
+
+   assert_different_registers(tmp1, tmp2, tmp3, tmp4, eax, ebx, ecx, edx);
+
+   bind(start);
+   push(rbx);
+   subq(rsp, 16);
+   andl(eax, 2147418112);
+   subl(eax, 808452096);
+   cmpl(eax, 281346048);
+   jcc(Assembler::above, L_2TAG_PACKET_0_0_1);
+   mulsd(xmm1, xmm0);
+   movdqu(xmm5, ExternalAddress(ONEHALF));    //0x00000000UL, 0x3fe00000UL, 0x00000000UL, 0x3fe00000UL
+   pand(xmm4, xmm0);
+   por(xmm5, xmm4);
+   cvttsd2sil(edx, xmm1);
+   cvtsi2sdl(xmm1, edx);
+   movdqu(xmm6, ExternalAddress(P_2));    //0x1a600000UL, 0x3d90b461UL, 0x1a600000UL, 0x3d90b461UL
+   mov64(r8, 0x3fb921fb54400000);
+   movdq(xmm3, r8);
+   movdqu(xmm5, ExternalAddress(SC_4));    //0xa556c734UL, 0x3ec71de3UL, 0x1a01a01aUL, 0x3efa01a0UL
+   pshufd(xmm4, xmm0, 68);
+   mulsd(xmm3, xmm1);
+   movddup(xmm1, xmm1);
+   andl(edx, 63);
+   shll(edx, 5);
+   mulpd(xmm6, xmm1);
+   subsd(xmm4, xmm3);
+   subsd(xmm0, xmm3);
+   movddup(xmm3, xmm4);
+   subsd(xmm4, xmm6);
+   pshufd(xmm0, xmm0, 68);
+   mulpd(xmm5, xmm0);
+   subpd(xmm0, xmm6);
+   mulsd(xmm7, xmm4);
+   subsd(xmm3, xmm4);
+   mulpd(xmm5, xmm0);
+   mulpd(xmm0, xmm0);
+   subsd(xmm3, xmm6);
+   movdqu(xmm6, ExternalAddress(SC_2));    //0x11111111UL, 0x3f811111UL, 0x55555555UL, 0x3fa55555UL
+   subsd(xmm1, xmm3);
+   subsd(xmm7, xmm2);
+   mulsd(xmm2, xmm4);
+   mulpd(xmm6, xmm0);
+   mulsd(xmm3, xmm4);
+   mulpd(xmm2, xmm0);
+   mulpd(xmm0, xmm0);
+   mulpd(xmm5, xmm0);
+   movdqu(xmm0, xmm3);
+   mulpd(xmm1, xmm7);
+   movdqu(xmm7, xmm4);
+   subsd(xmm5, xmm3);
+   subsd(xmm3, xmm4);
+   mulpd(xmm6, xmm2);
+   unpckhpd(xmm6, xmm6);
+   movdqu(xmm0, xmm4);
+   jmp(B1_4);
+
+   bind(L_2TAG_PACKET_0_0_1);
+   jcc(Assembler::greater, L_2TAG_PACKET_1_0_1);
+   shrl(eax, 20);
+   cmpl(eax, 3325);
+   jcc(Assembler::notEqual, L_2TAG_PACKET_2_0_1);
+   jmp(B1_4);
+
+   bind(L_2TAG_PACKET_2_0_1);
+   mulsd(xmm3, xmm0);
+   subsd(xmm3, xmm0);
+   jmp(B1_4);
+
+   bind(L_2TAG_PACKET_1_0_1);
+   pextrw(eax, xmm0, 3);
+   andl(eax, 32752);
+   cmpl(eax, 32752);
+   jcc(Assembler::equal, L_2TAG_PACKET_3_0_1);
+   pextrw(ecx, xmm0, 3);
+   andl(ecx, 32752);
+   subl(ecx, 16224);
+   shrl(ecx, 7);
+   andl(ecx, 65532);
+   movdq(rax, xmm0);
+   movl(edx, eax);
+   shrq(rax, 21);
+   orl(eax, INT_MIN);
+   shrl(eax, 11);
+   movl(r9, r10);
+   imulq(r10, rdx);
+   imulq(r9, rax);
+   imulq(r8, rax);
+   movl(r11, r10);
+   shrq(r10, 32);
+   movl(r8, r11);
+   shrq(r11, 32);
+   movl(r10, rsi);
+   imulq(rsi, rdx);
+   imulq(r10, rax);
+   movl(r11, rdi);
+   imulq(rdi, rdx);
+   movl(ebx, rsi);
+   shrq(rsi, 32);
+   movl(ebx, r9);
+   shrq(r9, 32);
+   shlq(rbx, 32);
+   orq(r8, rbx);
+   imulq(r11, rax);
+   movl(ebx, rdi);
+   shrq(rdi, 32);
+   movl(ebx, r10);
+   shrq(r10, 32);
+   movq(rdi, r9);
+   imulq(r9, rdx);
+   imulq(rdi, rax);
+   movl(r10, r9);
+   shrq(r9, 32);
+   movl(r10, r11);
+   shrq(r11, 32);
+   movq(r9, rsi);
+   imulq(rsi, rdx);
+   imulq(r9, rax);
+   shlq(r10, 32);
+   orq(r10, rbx);
+   movl(r11, rsi);
+   shrq(rsi, 32);
+   movl(r11, rdi);
+   shrq(rdi, 32);
+   imulq(rdx, rax);
+   pextrw(ebx, xmm0, 3);
+   subq(rcx, rdi);
+   movl(rsi, 32768);
+   andl(rsi, ebx);
+   shrl(ebx, 4);
+   andl(ebx, 2047);
+   subl(ebx, 1023);
+   subl(ecx, ebx);
+   movl(edx, ecx);
+   cmpl(ecx, 1);
+   jcc(Assembler::less, L_2TAG_PACKET_4_0_1);
+   negl(ecx);
+   shll(r9);
+   movl(rdi, r9);
+   andl(r9, 536870911);
+   testl(r9, 268435456);
+   jcc(Assembler::notEqual, L_2TAG_PACKET_5_0_1);
+   shrl(r9);
+   movl(ebx, 0);
+   shlq(r9, 32);
+   orq(r9, r11);
+
+   bind(L_2TAG_PACKET_6_0_1);
+
+   bind(L_2TAG_PACKET_7_0_1);
+
+   cmpq(r9, 0);
+   jcc(Assembler::equal, L_2TAG_PACKET_8_0_1);
+
+   bind(L_2TAG_PACKET_9_0_1);
+   bsrq(r11, r9);
+   movl(ecx, 29);
+   subl(ecx, r11);
+   jcc(Assembler::lessEqual, L_2TAG_PACKET_10_0_1);
+   shlq(r9);
+   movq(rax, r10);
+   shlq(r10);
+   negl(ecx);
+   shrq(rax);
+   shrq(r8);
+   orq(r9, rax);
+   orq(r10, r8);
+
+   bind(L_2TAG_PACKET_11_0_1);
+   cvtsi2sdq(xmm0, r9);
+   shrq(r10, 1);
+   cvtsi2sdq(xmm3, r10);
+   xorpd(xmm4, xmm4);
+   shll(edx, 4);
+   negl(edx);
+   orl(edx, rsi);
+   xorl(edx, ebx);
+   pinsrw(xmm4, edx, 3);
+   movq(xmm2, ExternalAddress(PI_4));    //0x40000000UL, 0x3fe921fbUL, 0x18469899UL, 0x3e64442dUL
+   movq(xmm6, ExternalAddress(8 + PI_4));    //0x3fe921fbUL, 0x18469899UL, 0x3e64442dUL
+   xorpd(xmm5, xmm5);
+   subl(edx, 1008);
+   pinsrw(xmm5, edx, 3);
+   mulsd(xmm0, xmm4);
+   shll(rsi, 16);
+   sarl(rsi, 31);
+   mulsd(xmm3, xmm5);
+   movdqu(xmm1, xmm0);
+   mulsd(xmm0, xmm2);
+   shrl(rdi, 29);
+   mulsd(xmm3, xmm2);
+   xorl(rdi, rsi);
+   mulsd(xmm6, xmm1);
+   movl(eax, rdi);
+   movdqu(xmm2, xmm0);
+   subsd(xmm2, xmm0);
+
+   bind(L_2TAG_PACKET_12_0_1);
+   mulsd(xmm1, xmm0);
+   movq(xmm5, ExternalAddress(ONEHALF));    //0x00000000UL, 0x3fe00000UL, 0x00000000UL, 0x3fe00000UL
+   pand(xmm4, xmm0);
+   por(xmm5, xmm4);
+   cvttsd2sil(edx, xmm1);
+   cvtsi2sdl(xmm1, edx);
+   movdqu(xmm2, ExternalAddress(P_2));    //0x1a600000UL, 0x3d90b461UL, 0x1a600000UL, 0x3d90b461UL
+   mulsd(xmm3, xmm1);
+   unpcklpd(xmm1, xmm1);
+   shll(eax, 3);
+   movdqu(xmm4, xmm0);
+   andl(edx, 63);
+   shll(edx, 5);
+   mulpd(xmm2, xmm1);
+   subsd(xmm0, xmm3);
+   subsd(xmm4, xmm3);
+   unpcklpd(xmm0, xmm0);
+   movdqu(xmm3, xmm4);
+   subsd(xmm4, xmm2);
+   mulpd(xmm5, xmm0);
+   subpd(xmm0, xmm2);
+   mulsd(xmm7, xmm4);
+   subsd(xmm3, xmm4);
+   mulpd(xmm5, xmm0);
+   mulpd(xmm0, xmm0);
+   subsd(xmm3, xmm2);
+   subsd(xmm1, xmm3);
+   subsd(xmm7, xmm2);
+   subsd(xmm1, xmm6);
+   movdqu(xmm6, ExternalAddress(SC_2));    //0x11111111UL, 0x3f811111UL, 0x55555555UL, 0x3fa55555UL
+   mulsd(xmm2, xmm4);
+   mulpd(xmm6, xmm0);
+   mulsd(xmm3, xmm4);
+   mulpd(xmm2, xmm0);
+   mulpd(xmm0, xmm0);
+   mulpd(xmm5, xmm0);
+   movdqu(xmm0, xmm3);
+   mulpd(xmm1, xmm7);
+   movdqu(xmm7, xmm4);
+   subsd(xmm5, xmm3);
+   subsd(xmm3, xmm4);
+   mulpd(xmm6, xmm2);
+   unpckhpd(xmm6, xmm6);
+   movdqu(xmm0, xmm4);
+   jmp(B1_4);
+
+   bind(L_2TAG_PACKET_8_0_1);
+   movq(r9, r10);
+   movq(r10, r8);
+   movl(r8, 0);
+   cmpq(r9, 0);
+   jcc(Assembler::notEqual, L_2TAG_PACKET_9_0_1);
+   movq(r9, r10);
+   movq(r10, r8);
+   cmpq(r9, 0);
+   jcc(Assembler::notEqual, L_2TAG_PACKET_9_0_1);
+   xorpd(xmm0, xmm0);
+   xorpd(xmm6, xmm6);
+   jmp(L_2TAG_PACKET_12_0_1);
+
+   bind(L_2TAG_PACKET_10_0_1);
+   jcc(Assembler::equal, L_2TAG_PACKET_11_0_1);
+   negl(ecx);
+   shrq(r10);
+   movq(rax, r9);
+   shrq(r9);
+   subl(edx, ecx);
+   negl(ecx);
+   shlq(rax);
+   orq(r10, rax);
+   jmp(L_2TAG_PACKET_11_0_1);
+
+   bind(L_2TAG_PACKET_4_0_1);
+   negl(ecx);
+   shlq(r9, 32);
+   orq(r9, r11);
+   shlq(r9);
+   movq(rdi, r9);
+   testl(r9, INT_MIN);
+   jcc(Assembler::notEqual, L_2TAG_PACKET_13_0_1);
+   shrl(r9);
+   movl(ebx, 0);
+   shrq(rdi, 3);
+   jmp(L_2TAG_PACKET_7_0_1);
+
+   bind(L_2TAG_PACKET_5_0_1);
+   shrl(r9);
+   movl(ebx, 536870912);
+   shrl(ebx);
+   shlq(r9, 32);
+   orq(r9, r11);
+   shlq(rbx, 32);
+   movl(rcx, 0);
+   movl(r11, 0);
+   subq(rcx, r8);
+   sbbq(r11, r10);
+   sbbq(rbx, r9);
+   movq(r8, rcx);
+   movq(r10, r11);
+   movq(r9, rbx);
+   movl(ebx, 32768);
+   jmp(L_2TAG_PACKET_6_0_1);
+
+   bind(L_2TAG_PACKET_13_0_1);
+   shrl(r9);
+   mov64(rbx, 0x100000000);
+   shrq(rbx);
+   movl(rcx, 0);
+   movl(r11, 0);
+   subq(rcx, r8);
+   sbbq(r11, r10);
+   sbbq(rbx, r9);
+   movq(r8, rcx);
+   movq(r10, r11);
+   movq(r9, rbx);
+   movl(ebx, 32768);
+   shrq(rdi, 3);
+   jmp(L_2TAG_PACKET_7_0_1);
+
+   bind(L_2TAG_PACKET_3_0_1);
+
+   bind(L_2TAG_PACKET_14_0_1);
+
+   bind(B1_4);
+   pop(rbx);
+ }
+
+ #endif
+
+ #ifndef _LP64
+
+ ALIGNED_(8) juint _zero_none[] =
+ {
+     0x00000000UL, 0x00000000UL, 0x00000000UL, 0xbff00000UL
+ };
+
+ ALIGNED_(4) juint __4onpi_d[] =
+ {
+     0x6dc9c883UL, 0x3ff45f30UL
+ };
+
+ ALIGNED_(4) juint _TWO_32H[] =
+ {
+     0x00000000UL, 0x41f80000UL
+ };
+
+ ALIGNED_(4) juint _pi04_3d[] =
+ {
+     0x54442d00UL, 0x3fe921fbUL, 0x98cc5180UL, 0x3ce84698UL, 0xcbb5bf6cUL,
+     0xb9dfc8f8UL
+ };
+
+ ALIGNED_(4) juint _pi04_5d[] =
+ {
+     0x54400000UL, 0x3fe921fbUL, 0x1a600000UL, 0x3dc0b461UL, 0x2e000000UL,
+     0x3b93198aUL, 0x25200000UL, 0x396b839aUL, 0x533e63a0UL, 0x37027044UL
+ };
+
+ ALIGNED_(4) juint _SCALE[] =
+ {
+     0x00000000UL, 0x32600000UL
+ };
+
+ ALIGNED_(4) juint _zeros[] =
+ {
+     0x00000000UL, 0x00000000UL, 0x00000000UL, 0x80000000UL
+ };
+
+ ALIGNED_(4) juint _pi04_2d[] =
+ {
+     0x54400000UL, 0x3fe921fbUL, 0x1a626331UL, 0x3dc0b461UL
+ };
+
+ ALIGNED_(4) juint _TWO_12H[] =
+ {
+     0x00000000UL, 0x40b80000UL
+ };
+
+ ALIGNED_(2) jushort __4onpi_31l[] =
+ {
+     0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x836e, 0xa2f9,
+     0x40d8, 0x0000, 0x0000, 0x0000, 0x2a50, 0x9c88, 0x40b7, 0x0000, 0x0000, 0x0000,
+     0xabe8, 0xfe13, 0x4099, 0x0000, 0x0000, 0x0000, 0x6ee0, 0xfa9a, 0x4079, 0x0000,
+     0x0000, 0x0000, 0x9580, 0xdb62, 0x4058, 0x0000, 0x0000, 0x0000, 0x1c82, 0xc9e2,
+     0x403d, 0x0000, 0x0000, 0x0000, 0xb1c0, 0xff28, 0x4019, 0x0000, 0x0000, 0x0000,
+     0xef14, 0xaf7a, 0x3ffe, 0x0000, 0x0000, 0x0000, 0x48dc, 0xc36e, 0x3fdf, 0x0000,
+     0x0000, 0x0000, 0x3740, 0xe909, 0x3fbe, 0x0000, 0x0000, 0x0000, 0x924a, 0xb801,
+     0x3fa2, 0x0000, 0x0000, 0x0000, 0x3a32, 0xdd41, 0x3f83, 0x0000, 0x0000, 0x0000,
+     0x8778, 0x873f, 0x3f62, 0x0000, 0x0000, 0x0000, 0x1298, 0xb1cb, 0x3f44, 0x0000,
+     0x0000, 0x0000, 0xa208, 0x9cfb, 0x3f26, 0x0000, 0x0000, 0x0000, 0xbaec, 0xd7d4,
+     0x3f06, 0x0000, 0x0000, 0x0000, 0xd338, 0x8909, 0x3ee7, 0x0000, 0x0000, 0x0000,
+     0x68b8, 0xe04d, 0x3ec7, 0x0000, 0x0000, 0x0000, 0x4e64, 0xdf90, 0x3eaa, 0x0000,
+     0x0000, 0x0000, 0xc1a8, 0xeb1c, 0x3e89, 0x0000, 0x0000, 0x0000, 0x2720, 0xce7d,
+     0x3e6a, 0x0000, 0x0000, 0x0000, 0x77b8, 0x8bf1, 0x3e4b, 0x0000, 0x0000, 0x0000,
+     0xec7e, 0xe4a0, 0x3e2e, 0x0000, 0x0000, 0x0000, 0xffbc, 0xf12f, 0x3e0f, 0x0000,
+     0x0000, 0x0000, 0xfdc0, 0xb301, 0x3deb, 0x0000, 0x0000, 0x0000, 0xc5ac, 0x9788,
+     0x3dd1, 0x0000, 0x0000, 0x0000, 0x47da, 0x829b, 0x3db2, 0x0000, 0x0000, 0x0000,
+     0xd9e4, 0xa6cf, 0x3d93, 0x0000, 0x0000, 0x0000, 0x36e8, 0xf961, 0x3d73, 0x0000,
+     0x0000, 0x0000, 0xf668, 0xf463, 0x3d54, 0x0000, 0x0000, 0x0000, 0x5168, 0xf2ff,
+     0x3d35, 0x0000, 0x0000, 0x0000, 0x758e, 0xea4f, 0x3d17, 0x0000, 0x0000, 0x0000,
+     0xf17a, 0xebe5, 0x3cf8, 0x0000, 0x0000, 0x0000, 0x9cfa, 0x9e83, 0x3cd9, 0x0000,
+     0x0000, 0x0000, 0xa4ba, 0xe294, 0x3cba, 0x0000, 0x0000, 0x0000, 0xd7ec, 0x9afe,
+     0x3c9a, 0x0000, 0x0000, 0x0000, 0xae80, 0x8fc6, 0x3c79, 0x0000, 0x0000, 0x0000,
+     0x3304, 0x8560, 0x3c5c, 0x0000, 0x0000, 0x0000, 0x6d70, 0xdf8f, 0x3c3b, 0x0000,
+     0x0000, 0x0000, 0x3ef0, 0xafc3, 0x3c1e, 0x0000, 0x0000, 0x0000, 0xd0d8, 0x826b,
+     0x3bfe, 0x0000, 0x0000, 0x0000, 0x1c80, 0xed4f, 0x3bdd, 0x0000, 0x0000, 0x0000,
+     0x730c, 0xb0af, 0x3bc1, 0x0000, 0x0000, 0x0000, 0x6660, 0xc219, 0x3ba2, 0x0000,
+     0x0000, 0x0000, 0x940c, 0xabe2, 0x3b83, 0x0000, 0x0000, 0x0000, 0xdffc, 0x8408,
+     0x3b64, 0x0000, 0x0000, 0x0000, 0x6b98, 0xc402, 0x3b45, 0x0000, 0x0000, 0x0000,
+     0x1818, 0x9cc4, 0x3b26, 0x0000, 0x0000, 0x0000, 0x5390, 0xaab6, 0x3b05, 0x0000,
+     0x0000, 0x0000, 0xb070, 0xd464, 0x3ae9, 0x0000, 0x0000, 0x0000, 0x231a, 0x9ef0,
+     0x3aca, 0x0000, 0x0000, 0x0000, 0x0670, 0xd1f1, 0x3aaa, 0x0000, 0x0000, 0x0000,
+     0x7738, 0xd9f3, 0x3a8a, 0x0000, 0x0000, 0x0000, 0xa834, 0x8092, 0x3a6c, 0x0000,
+     0x0000, 0x0000, 0xb45c, 0xce23, 0x3a4d, 0x0000, 0x0000, 0x0000, 0x36e8, 0xb0e5,
+     0x3a2d, 0x0000, 0x0000, 0x0000, 0xd156, 0xaf44, 0x3a10, 0x0000, 0x0000, 0x0000,
+     0x9f52, 0x8c82, 0x39f1, 0x0000, 0x0000, 0x0000, 0x829c, 0xff83, 0x39d1, 0x0000,
+     0x0000, 0x0000, 0x7d06, 0xefc6, 0x39b3, 0x0000, 0x0000, 0x0000, 0x93e0, 0xb0b7,
+     0x3992, 0x0000, 0x0000, 0x0000, 0xedde, 0xc193, 0x3975, 0x0000, 0x0000, 0x0000,
+     0xbbc0, 0xcf49, 0x3952, 0x0000, 0x0000, 0x0000, 0xbdf0, 0xd63c, 0x3937, 0x0000,
+     0x0000, 0x0000, 0x1f34, 0x9f3a, 0x3918, 0x0000, 0x0000, 0x0000, 0x3f8e, 0xe579,
+     0x38f9, 0x0000, 0x0000, 0x0000, 0x90c8, 0xc3f8, 0x38d9, 0x0000, 0x0000, 0x0000,
+     0x48c0, 0xf8f8, 0x38b7, 0x0000, 0x0000, 0x0000, 0xed56, 0xafa6, 0x389c, 0x0000,
+     0x0000, 0x0000, 0x8218, 0xb969, 0x387d, 0x0000, 0x0000, 0x0000, 0x1852, 0xec57,
+     0x385e, 0x0000, 0x0000, 0x0000, 0x670c, 0xd674, 0x383e, 0x0000, 0x0000, 0x0000,
+     0xad40, 0xc2c4, 0x3820, 0x0000, 0x0000, 0x0000, 0x2e80, 0xa696, 0x3801, 0x0000,
+     0x0000, 0x0000, 0xd800, 0xc467, 0x37dc, 0x0000, 0x0000, 0x0000, 0x3c72, 0xc5ae,
+     0x37c3, 0x0000, 0x0000, 0x0000, 0xb006, 0xac69, 0x37a4, 0x0000, 0x0000, 0x0000,
+     0x34a0, 0x8cdf, 0x3782, 0x0000, 0x0000, 0x0000, 0x9ed2, 0xd25e, 0x3766, 0x0000,
+     0x0000, 0x0000, 0x6fec, 0xaaaa, 0x3747, 0x0000, 0x0000, 0x0000, 0x6040, 0xfb5c,
+     0x3726, 0x0000, 0x0000, 0x0000, 0x764c, 0xa3fc, 0x3708, 0x0000, 0x0000, 0x0000,
+     0xb254, 0x954e, 0x36e9, 0x0000, 0x0000, 0x0000, 0x3e1c, 0xf5dc, 0x36ca, 0x0000,
+     0x0000, 0x0000, 0x7b06, 0xc635, 0x36ac, 0x0000, 0x0000, 0x0000, 0xa8ba, 0xd738,
+     0x368d, 0x0000, 0x0000, 0x0000, 0x06cc, 0xb24e, 0x366d, 0x0000, 0x0000, 0x0000,
+     0x7108, 0xac76, 0x364f, 0x0000, 0x0000, 0x0000, 0x2324, 0xa7cb, 0x3630, 0x0000,
+     0x0000, 0x0000, 0xac40, 0xef15, 0x360f, 0x0000, 0x0000, 0x0000, 0xae46, 0xd516,
+     0x35f2, 0x0000, 0x0000, 0x0000, 0x615e, 0xe003, 0x35d3, 0x0000, 0x0000, 0x0000,
+     0x0cf0, 0xefe7, 0x35b1, 0x0000, 0x0000, 0x0000, 0xfb50, 0xf98c, 0x3595, 0x0000,
+     0x0000, 0x0000, 0x0abc, 0xf333, 0x3575, 0x0000, 0x0000, 0x0000, 0xdd60, 0xca3f,
+     0x3555, 0x0000, 0x0000, 0x0000, 0x7eb6, 0xd87f, 0x3538, 0x0000, 0x0000, 0x0000,
+     0x44f4, 0xb291, 0x3519, 0x0000, 0x0000, 0x0000, 0xff80, 0xc982, 0x34f6, 0x0000,
+     0x0000, 0x0000, 0x9de0, 0xd9b8, 0x34db, 0x0000, 0x0000, 0x0000, 0xcd42, 0x9366,
+     0x34bc, 0x0000, 0x0000, 0x0000, 0xbef0, 0xfaee, 0x349d, 0x0000, 0x0000, 0x0000,
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+     0x1a15, 0x0000, 0x0000, 0x0000, 0x6170, 0xb949, 0x19f8, 0x0000, 0x0000, 0x0000,
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+     0x197d, 0x0000, 0x0000, 0x0000, 0x9f20, 0xfb70, 0x195d, 0x0000, 0x0000, 0x0000,
+     0xa4b8, 0xc176, 0x193e, 0x0000, 0x0000, 0x0000, 0xb21c, 0x85c3, 0x1920, 0x0000,
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+     0x31ec, 0xdc8d, 0x18a3, 0x0000, 0x0000, 0x0000, 0x3c00, 0xbff9, 0x1885, 0x0000,
+     0x0000, 0x0000, 0x5020, 0xc30b, 0x1862, 0x0000, 0x0000, 0x0000, 0xd4f0, 0xda0c,
+     0x1844, 0x0000, 0x0000, 0x0000, 0x20d2, 0x99a5, 0x1828, 0x0000, 0x0000, 0x0000,
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+     0x8b28, 0xae06, 0x176e, 0x0000, 0x0000, 0x0000, 0x102e, 0xb8d4, 0x174f, 0x0000,
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+     0x170e, 0x0000, 0x0000, 0x0000, 0xf858, 0xe181, 0x16f2, 0x0000, 0x0000, 0x0000,
+     0x91a8, 0x8162, 0x16d3, 0x0000, 0x0000, 0x0000, 0x5f40, 0xcb6f, 0x16b1, 0x0000,
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+     0x15db, 0x0000, 0x0000, 0x0000, 0xad78, 0xd985, 0x15bc, 0x0000, 0x0000, 0x0000,
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+     0x1540, 0x0000, 0x0000, 0x0000, 0x0090, 0x9c40, 0x1521, 0x0000, 0x0000, 0x0000,
+     0xdd70, 0xcc86, 0x1500, 0x0000, 0x0000, 0x0000, 0x64f8, 0xdb6f, 0x14e1, 0x0000,
+     0x0000, 0x0000, 0xe22c, 0xac17, 0x14c3, 0x0000, 0x0000, 0x0000, 0x60e0, 0xa9ad,
+     0x14a3, 0x0000, 0x0000, 0x0000, 0x4640, 0xd658, 0x1481, 0x0000, 0x0000, 0x0000,
+     0x6490, 0xa181, 0x1467, 0x0000, 0x0000, 0x0000, 0x1df4, 0xaaa2, 0x1447, 0x0000,
+     0x0000, 0x0000, 0xb94a, 0x8f61, 0x1429, 0x0000, 0x0000, 0x0000, 0x5198, 0x9d83,
+     0x1409, 0x0000, 0x0000, 0x0000, 0x0f7a, 0xa818, 0x13eb, 0x0000, 0x0000, 0x0000,
+     0xc45e, 0xc06c, 0x13cc, 0x0000, 0x0000, 0x0000, 0x4ec0, 0xfa29, 0x13a8, 0x0000,
+     0x0000, 0x0000, 0x6418, 0x8cad, 0x138c, 0x0000, 0x0000, 0x0000, 0xbcc8, 0xe7d1,
+     0x136f, 0x0000, 0x0000, 0x0000, 0xc934, 0xf9b0, 0x134f, 0x0000, 0x0000, 0x0000,
+     0x6ce0, 0x98df, 0x1331, 0x0000, 0x0000, 0x0000, 0x3516, 0xe5e9, 0x1312, 0x0000,
+     0x0000, 0x0000, 0xc6c0, 0xef8b, 0x12ef, 0x0000, 0x0000, 0x0000, 0xaf02, 0x913d,
+     0x12d4, 0x0000, 0x0000, 0x0000, 0xd230, 0xe1d5, 0x12b5, 0x0000, 0x0000, 0x0000,
+     0xfba8, 0xc232, 0x1295, 0x0000, 0x0000, 0x0000, 0x7ba4, 0xabeb, 0x1277, 0x0000,
+     0x0000, 0x0000, 0x6e5c, 0xc692, 0x1258, 0x0000, 0x0000, 0x0000, 0x76a2, 0x9756,
+     0x1239, 0x0000, 0x0000, 0x0000, 0xe180, 0xe423, 0x1214, 0x0000, 0x0000, 0x0000,
+     0x8c3c, 0x90f8, 0x11fb, 0x0000, 0x0000, 0x0000, 0x9f3c, 0x9fd2, 0x11dc, 0x0000,
+     0x0000, 0x0000, 0x53e0, 0xb73e, 0x11bd, 0x0000, 0x0000, 0x0000, 0x45be, 0x88d6,
+     0x119e, 0x0000, 0x0000, 0x0000, 0x111a, 0x8bc0, 0x117f, 0x0000, 0x0000, 0x0000,
+     0xe26a, 0xd7ff, 0x1160, 0x0000, 0x0000, 0x0000, 0xfb60, 0xdd8d, 0x113f, 0x0000,
+     0x0000, 0x0000, 0x9370, 0xc108, 0x1120, 0x0000, 0x0000, 0x0000, 0x9654, 0x8baf,
+     0x1103, 0x0000, 0x0000, 0x0000, 0xd6ec, 0xd6b9, 0x10e4, 0x0000, 0x0000, 0x0000,
+     0x23e4, 0xd7b7, 0x10c4, 0x0000, 0x0000, 0x0000, 0x1aa6, 0xa847, 0x10a6, 0x0000,
+     0x0000, 0x0000, 0xbee6, 0x9fef, 0x1087, 0x0000, 0x0000, 0x0000, 0x26d0, 0xa6eb,
+     0x1066, 0x0000, 0x0000, 0x0000, 0x5b86, 0xa880, 0x1049, 0x0000, 0x0000, 0x0000,
+     0x125c, 0xd971, 0x1029, 0x0000, 0x0000, 0x0000, 0x1f78, 0x9d18, 0x100a, 0x0000,
+     0x0000, 0x0000, 0x0e84, 0xb15b, 0x0feb, 0x0000, 0x0000, 0x0000, 0xd0c0, 0xc150,
+     0x0fcc, 0x0000, 0x0000, 0x0000, 0xa330, 0xc40c, 0x0fad, 0x0000, 0x0000, 0x0000,
+     0x5202, 0xfc2c, 0x0f8f, 0x0000, 0x0000, 0x0000, 0x3f7c, 0xecf5, 0x0f6f, 0x0000,
+     0x0000, 0x0000, 0xef44, 0xfdfd, 0x0f50, 0x0000, 0x0000, 0x0000, 0x3f6c, 0xab1b,
+     0x0f31, 0x0000, 0x0000, 0x0000, 0xf658, 0x89ec, 0x0f11, 0x0000, 0x0000, 0x0000,
+     0xbfc8, 0x9ba8, 0x0ef4, 0x0000, 0x0000, 0x0000, 0x3d40, 0xbe21, 0x0ed5, 0x0000,
+     0x0000, 0x0000, 0xbbc4, 0xc70d, 0x0eb6, 0x0000, 0x0000, 0x0000, 0x5158, 0xdb16,
+     0x0e96, 0x0000, 0x0000, 0x0000, 0xb5a8, 0xa8d8, 0x0e78, 0x0000, 0x0000, 0x0000,
+     0xcccc, 0xb40e, 0x0e58, 0x0000, 0x0000, 0x0000, 0x448c, 0xcb62, 0x0e3a, 0x0000,
+     0x0000, 0x0000, 0xf12a, 0x8aed, 0x0e1b, 0x0000, 0x0000, 0x0000, 0x79d0, 0xc59c,
+     0x0dfb, 0x0000, 0x0000, 0x0000, 0x06b4, 0xcdc9, 0x0ddd, 0x0000, 0x0000, 0x0000,
+     0xae70, 0xa979, 0x0dbe, 0x0000, 0x0000, 0x0000, 0x317c, 0xa8fb, 0x0d9e, 0x0000,
+     0x0000, 0x0000, 0x5fe0, 0x8a50, 0x0d7d, 0x0000, 0x0000, 0x0000, 0x70b6, 0xfdfa,
+     0x0d61, 0x0000, 0x0000, 0x0000, 0x1640, 0x9dc7, 0x0d41, 0x0000, 0x0000, 0x0000,
+     0x9a9c, 0xdc50, 0x0d23, 0x0000, 0x0000, 0x0000, 0x4fcc, 0x9a9b, 0x0d04, 0x0000,
+     0x0000, 0x0000, 0x7e48, 0x8f77, 0x0ce5, 0x0000, 0x0000, 0x0000, 0x84e4, 0xd4b9,
+     0x0cc6, 0x0000, 0x0000, 0x0000, 0x84e0, 0xbd10, 0x0ca6, 0x0000, 0x0000, 0x0000,
+     0x1b0a, 0xc8d9, 0x0c88, 0x0000, 0x0000, 0x0000, 0x6a48, 0xfc81, 0x0c68, 0x0000,
+     0x0000, 0x0000, 0x070a, 0xbef6, 0x0c4a, 0x0000, 0x0000, 0x0000, 0x8a70, 0xf096,
+     0x0c2b, 0x0000, 0x0000, 0x0000, 0xecc2, 0xc994, 0x0c0c, 0x0000, 0x0000, 0x0000,
+     0x1540, 0x9537, 0x0bea, 0x0000, 0x0000, 0x0000, 0x1b02, 0xab5b, 0x0bce, 0x0000,
+     0x0000, 0x0000, 0x5dc0, 0xb0c8, 0x0bad, 0x0000, 0x0000, 0x0000, 0xc928, 0xe034,
+     0x0b8f, 0x0000, 0x0000, 0x0000, 0x2d12, 0xb4b0, 0x0b71, 0x0000, 0x0000, 0x0000,
+     0x8fc2, 0xbb94, 0x0b52, 0x0000, 0x0000, 0x0000, 0xe236, 0xe22f, 0x0b33, 0x0000,
+     0x0000, 0x0000, 0xb97c, 0xbe9e, 0x0b13, 0x0000, 0x0000, 0x0000, 0xe1a6, 0xe16d,
+     0x0af5, 0x0000, 0x0000, 0x0000, 0xd330, 0xbaf0, 0x0ad6, 0x0000, 0x0000, 0x0000,
+     0xc0bc, 0xbbd0, 0x0ab7, 0x0000, 0x0000, 0x0000, 0x8e66, 0xdd9b, 0x0a98, 0x0000,
+     0x0000, 0x0000, 0xc95c, 0xf799, 0x0a79, 0x0000, 0x0000, 0x0000, 0xdac0, 0xbe4c,
+     0x0a55, 0x0000, 0x0000, 0x0000, 0xafc0, 0xc378, 0x0a37, 0x0000, 0x0000, 0x0000,
+     0xa880, 0xe341, 0x0a19, 0x0000, 0x0000, 0x0000, 0xc242, 0x81f6, 0x09fd, 0x0000,
+     0x0000, 0x0000, 0x7470, 0xc777, 0x09de, 0x0000, 0x0000, 0x0000, 0x62bc, 0xb684,
+     0x09be, 0x0000, 0x0000, 0x0000, 0x43ac, 0x8c58, 0x099f, 0x0000, 0x0000, 0x0000,
+     0xcc3c, 0xf9ac, 0x0981, 0x0000, 0x0000, 0x0000, 0x1526, 0xb670, 0x0962, 0x0000,
+     0x0000, 0x0000, 0xc9fe, 0xdf50, 0x0943, 0x0000, 0x0000, 0x0000, 0x6ae6, 0xc065,
+     0x0924, 0x0000, 0x0000, 0x0000, 0xb114, 0xcf29, 0x0905, 0x0000, 0x0000, 0x0000,
+     0xd388, 0x922a, 0x08e4, 0x0000, 0x0000, 0x0000, 0xcf54, 0xb926, 0x08c7, 0x0000,
+     0x0000, 0x0000, 0x3826, 0xe855, 0x08a8, 0x0000, 0x0000, 0x0000, 0xe7c8, 0x829b,
+     0x0888, 0x0000, 0x0000, 0x0000, 0x546c, 0xa903, 0x086a, 0x0000, 0x0000, 0x0000,
+     0x8768, 0x99cc, 0x0849, 0x0000, 0x0000, 0x0000, 0x00ac, 0xf529, 0x082b, 0x0000,
+     0x0000, 0x0000, 0x2658, 0x9f0b, 0x080c, 0x0000, 0x0000, 0x0000, 0xfe5c, 0x9e21,
+     0x07ee, 0x0000, 0x0000, 0x0000, 0x6da2, 0x9910, 0x07cf, 0x0000, 0x0000, 0x0000,
+     0x9220, 0xf9b3, 0x07b0, 0x0000, 0x0000, 0x0000, 0x3d90, 0xa541, 0x0791, 0x0000,
+     0x0000, 0x0000, 0x6e4c, 0xe7cc, 0x0771, 0x0000, 0x0000, 0x0000, 0xa8fa, 0xe80a,
+     0x0753, 0x0000, 0x0000, 0x0000, 0x4e14, 0xc3a7, 0x0734, 0x0000, 0x0000, 0x0000,
+     0xf7e0, 0xbad9, 0x0712, 0x0000, 0x0000, 0x0000, 0xfea0, 0xeff2, 0x06f5, 0x0000,
+     0x0000, 0x0000, 0xcef6, 0xbd48, 0x06d7, 0x0000, 0x0000, 0x0000, 0x7544, 0xf559,
+     0x06b7, 0x0000, 0x0000, 0x0000, 0x2388, 0xf655, 0x0698, 0x0000, 0x0000, 0x0000,
+     0xe900, 0xad56, 0x0676, 0x0000, 0x0000, 0x0000, 0x2cc0, 0x8437, 0x0659, 0x0000,
+     0x0000, 0x0000, 0x3068, 0xc544, 0x063b, 0x0000, 0x0000, 0x0000, 0xdc70, 0xe73c,
+     0x061b, 0x0000, 0x0000, 0x0000, 0xee50, 0x9d49, 0x05fc, 0x0000, 0x0000, 0x0000,
+     0x93d2, 0x81f6, 0x05df, 0x0000, 0x0000, 0x0000, 0x941c, 0xadff, 0x05bf, 0x0000,
+     0x0000, 0x0000, 0x2ce2, 0x8e45, 0x05a1, 0x0000, 0x0000, 0x0000, 0x4a60, 0x95fd,
+     0x0581, 0x0000, 0x0000, 0x0000, 0x79f8, 0xb83a, 0x0563, 0x0000, 0x0000, 0x0000,
+     0xcb58, 0xa1f5, 0x0543, 0x0000, 0x0000, 0x0000, 0x2a3a, 0xdc36, 0x0525, 0x0000,
+     0x0000, 0x0000, 0x14ee, 0x890e, 0x0506, 0x0000, 0x0000, 0x0000, 0x8f20, 0xc432,
+     0x04e3, 0x0000, 0x0000, 0x0000, 0x8440, 0xb21d, 0x04c6, 0x0000, 0x0000, 0x0000,
+     0x5430, 0xf698, 0x04a7, 0x0000, 0x0000, 0x0000, 0x04ae, 0x8b20, 0x048a, 0x0000,
+     0x0000, 0x0000, 0x04d0, 0xe872, 0x046b, 0x0000, 0x0000, 0x0000, 0xc78e, 0x8893,
+     0x044c, 0x0000, 0x0000, 0x0000, 0x0f78, 0x9895, 0x042b, 0x0000, 0x0000, 0x0000,
+     0x11d4, 0xdf2e, 0x040d, 0x0000, 0x0000, 0x0000, 0xe84c, 0x89d5, 0x03ef, 0x0000,
+     0x0000, 0x0000, 0xf7be, 0x8a67, 0x03d0, 0x0000, 0x0000, 0x0000, 0x95d0, 0xc906,
+     0x03b1, 0x0000, 0x0000, 0x0000, 0x64ce, 0xd96c, 0x0392, 0x0000, 0x0000, 0x0000,
+     0x97ba, 0xa16f, 0x0373, 0x0000, 0x0000, 0x0000, 0x463c, 0xc51a, 0x0354, 0x0000,
+     0x0000, 0x0000, 0xef0a, 0xe93e, 0x0335, 0x0000, 0x0000, 0x0000, 0x526a, 0xa466,
+     0x0316, 0x0000, 0x0000, 0x0000, 0x4140, 0xa94d, 0x02f5, 0x0000, 0x0000, 0x0000,
+     0xb4ec, 0xce68, 0x02d8, 0x0000, 0x0000, 0x0000, 0x4fa2, 0x8490, 0x02b9, 0x0000,
+     0x0000, 0x0000, 0x4e60, 0xca98, 0x0298, 0x0000, 0x0000, 0x0000, 0x08dc, 0xe09c,
+     0x027a, 0x0000, 0x0000, 0x0000, 0x2b90, 0xc7e3, 0x025c, 0x0000, 0x0000, 0x0000,
+     0x5a7c, 0xf8ef, 0x023c, 0x0000, 0x0000, 0x0000, 0x5022, 0x9d58, 0x021e, 0x0000,
+     0x0000, 0x0000, 0x553a, 0xe242, 0x01ff, 0x0000, 0x0000, 0x0000, 0x7e6e, 0xb54d,
+     0x01e0, 0x0000, 0x0000, 0x0000, 0xd2d4, 0xa88c, 0x01c1, 0x0000, 0x0000, 0x0000,
+     0x75b6, 0xfe6d, 0x01a2, 0x0000, 0x0000, 0x0000, 0x3bb2, 0xf04c, 0x0183, 0x0000,
+     0x0000, 0x0000, 0xc2d0, 0xc046, 0x0163, 0x0000, 0x0000, 0x0000, 0x250c, 0xf9d6,
+     0x0145, 0x0000, 0x0000, 0x0000, 0xb7b4, 0x8a0d, 0x0126, 0x0000, 0x0000, 0x0000,
+     0x1a72, 0xe4f5, 0x0107, 0x0000, 0x0000, 0x0000, 0x825c, 0xa9b8, 0x00e8, 0x0000,
+     0x0000, 0x0000, 0x6c90, 0xc9ad, 0x00c6, 0x0000, 0x0000, 0x0000, 0x4d00, 0xd1bb,
+     0x00aa, 0x0000, 0x0000, 0x0000, 0xa4a0, 0xee01, 0x0087, 0x0000, 0x0000, 0x0000,
+     0x89a8, 0xbe9f, 0x006b, 0x0000, 0x0000, 0x0000, 0x038e, 0xc80c, 0x004d, 0x0000,
+     0x0000, 0x0000, 0xfe26, 0x8384, 0x002e, 0x0000, 0x0000, 0x0000, 0xcd90, 0xca57,
+     0x000e, 0x0000
+ };
+
+ void MacroAssembler::libm_reduce_pi04l(Register eax, Register ecx, Register edx, Register ebx, Register esi, Register edi, Register ebp, Register esp) {
+   Label B1_1, B1_2, B1_3, B1_4, B1_5, B1_6, B1_7, B1_8, B1_9, B1_10, B1_11, B1_12;
+   Label B1_13, B1_14, B1_15;
+
+   assert_different_registers(ebx, eax, ecx, edx, esi, edi, ebp, esp);
+
+
+   bind(B1_1);
+   push(ebp);
+   movl(ebp, esp);
+   andl(esp, -16);
+   push(esi);
+   push(edi);
+   push(ebx);
+   subl(esp, 20);
+   andl(ebx, 32767);
+   cmpl(ebx, 16413);
+   jcc(Assembler::greaterEqual, B1_8);
+
+   bind(B1_2);
+   fmul(1);
+   negl(ecx);
+   shrl(eax);
+   jcc(Assembler::notEqual, B1_4);
+
+   bind(B1_3);
+   andl(ecx, -2);
+   jmp(B1_5);
+
+   bind(B1_4);
+   movl(ecx, eax);
+   movl(edx, eax);
+   andl(edx, 1);
+
+   bind(B1_5);
+   cmpl(ebx, 16400);
+   jcc(Assembler::greaterEqual, B1_7);
+
+   bind(B1_6);
+   fmul(1);
+   fsubp(3);
+   fxch(1);
+   fmul(2);
+   fld_s(2);
+   fsubrp(1);
+   fld_s(0);
+   fxch(1);
+   fsuba(3);
+   fld_d(ExternalAddress(8 + pi04_3d));    //0x98cc5180UL, 0x3ce84698UL
+   fmul(3);
+   fsuba(2);
+   fxch(1);
+   fsub(2);
+   fsubrp(1);
+   fld_d(ExternalAddress(16 + pi04_3d));    //0xcbb5bf6cUL, 0xb9dfc8f8UL
+   fmulp(2);
+   fld_s(1);
+   fsubr(1);
+   fsuba(1);
+   fxch(2);
+   fsubp(1);
+   fxch(1);
+   jmp(B1_15);
+
+   bind(B1_7);
+   fmul(1);
+   fsubp(3);
+   fxch(1);
+   fmul(2);
+   fld_s(2);
+   fsubrp(1);
+   fld_s(0);
+   fxch(1);
+   fsuba(3);
+   fld_d(ExternalAddress(8 + pi04_5d));    //0x1a600000UL, 0x3dc0b461UL
+   fmul(3);
+   fsuba(2);
+   fxch(1);
+   fsub(2);
+   fsubrp(1);
+   fld_d(ExternalAddress(16 + pi04_5d));    //0x2e000000UL, 0x3b93198aUL
+   fmul(2);
+   fld_s(0);
+   fsubr(2);
+   fsuba(2);
+   fxch(1);
+   fsubp(2);
+   fxch(1);
+   fld_d(ExternalAddress(24 + pi04_5d));    //0x25200000UL, 0x396b839aUL
+   fmul(2);
+   fld_s(0);
+   fsubr(2);
+   fsuba(2);
+   fxch(1);
+   fsubp(2);
+   fxch(1);
+   fld_d(ExternalAddress(32 + pi04_5d));    //0x533e63a0UL, 0x37027044UL
+   fmulp(2);
+   fld_s(1);
+   fsubr(1);
+   fsuba(1);
+   fxch(2);
+   fsubp(1);
+   fxch(1);
+   jmp(B1_15);
+
+   bind(B1_8);
+   movl(eax, -2078209981);
+   imull(ebx);
+   movl(ecx, ebx);
+   sarl(edx, 4);
+   sarl(ecx, 31);
+   subl(edx, ecx);
+   movl(eax, edx);
+   shll(eax, 5);
+   subl(eax, edx);
+   subl(ebx, eax);
+   cmpl(ebx, 17);
+   fsuba(1);
+   jcc(Assembler::less, B1_10);
+
+   bind(B1_9);
+   incl(edx);
+   fmul(2);
+   fmul(2);
+   fld_s(0);
+   fsuba(2);
+   fxch(1);
+   fld_s(1);
+   fsubp(1);
+   jmp(B1_11);
+
+   bind(B1_10);
+   fld_s(0);
+
+   bind(B1_11);
+   fld_s(0);
+   fld_s(3);
+   fmul(6);
+   fxch(2);
+   fsuba(3);
+   fxch(2);
+   fxch(2);
+   fmula(2);
+   fld_s(2);
+   fld_s(0);
+   fxch(1);
+   fsubra(3);
+   fxch(3);
+   fchs();
+   fxch(3);
+   fxch(2);
+   fxch(2);
+   fmul(5);
+   fld_s(4);
+   fmula(1);
+   fxch(1);
+   fxch(4);
+   andl(ebx, 32767);
+   cmpl(ebx, 16415);
+   jcc(Assembler::greaterEqual, B1_13);
+
+   bind(B1_12);
+   negl(ebx);
+   movl(ecx, ebx);
+   shrl(eax);
+   shll(eax);
+   shrl(eax);
+   jmp(B1_14);
+
+   bind(B1_13);
+   negl(ebx);
+   movl(ecx, ebx);
+   shrl(edx);
+   shll(edx);
+   negl(ecx);
+   shll(eax);
+   movl(ecx, ebx);
+   shrl(edx);
+   orl(eax, edx);
+
+   bind(B1_14);
+   fsubp(3);
+   fmul(6);
+   fld_s(4);
+   movl(edx, eax);
+   andl(edx, 1);
+   fsuba(3);
+   fxch(3);
+   fld_s(1);
+   fxch(3);
+   fsub(3);
+   fxch(1);
+   fld_s(2);
+   fsuba(2);
+   fxch(3);
+   fxch(1);
+   fld_s(0);
+   fsuba(2);
+   fxch(1);
+   fxch(1);
+   fld_s(2);
+   fmula(1);
+   fld_s(1);
+   fsuba(3);
+   fxch(2);
+   fxch(2);
+   fxch(1);
+   fmul(4);
+   fld_s(0);
+   fsuba(2);
+   fxch(1);
+   fxch(1);
+   fld_s(2);
+   fmula(1);
+   fld_s(1);
+   fsuba(3);
+   fxch(2);
+   fxch(2);
+   fld_s(3);
+   fxch(2);
+   fmul(5);
+   fmula(3);
+   fxch(3);
+   fld_s(0);
+   fsuba(2);
+   fxch(1);
+   fxch(1);
+   fld_s(3);
+   fxch(2);
+   fmul(5);
+   fmula(3);
+   fxch(3);
+   fld_s(0);
+   fsuba(2);
+   fxch(1);
+   fxch(1);
+   fxch(1);
+   fmulp(4);
+   fmulp(3);
+   fxch(2);
+   fld_s(2);
+   fmul(1);
+   fsubp(1);
+   fsuba(2);
+   fxch(3);
+   fld_s(0);
+   fmul(2);
+   fxch(2);
+   fxch(1);
+   fmulp(3);
+
+   bind(B1_15);
+   fld_s(2);
+   fmula(1);
+   fsubrp(1);
+   fsubp(2);
+   pop(ebx);
+   pop(edi);
+   pop(esi);
+   movl(esp, ebp);
+   pop(ebp);
+   ret(0);
+ }
+
+ ALIGNED_(16) juint _L_2il0floatpacket_0[] =
+ {
+     0xffffffffUL, 0x7fffffffUL, 0x00000000UL, 0x00000000UL
+ };
+
+ ALIGNED_(16) juint _Pi4Inv[] =
+ {
+     0x6dc9c883UL, 0x3ff45f30UL
+ };
+
+ ALIGNED_(16) juint _Pi4x3[] =
+ {
+     0x54443000UL, 0xbfe921fbUL, 0x3b39a000UL, 0x3d373dcbUL, 0xe0e68948UL,
+     0xba845c06UL
+ };
+
+ ALIGNED_(16) juint _Pi4x4[] =
+ {
+     0x54400000UL, 0xbfe921fbUL, 0x1a600000UL, 0xbdc0b461UL, 0x2e000000UL,
+     0xbb93198aUL, 0x252049c1UL, 0xb96b839aUL
+ };
+
+ ALIGNED_(16) jushort _SP[] =
+ {
+     0xaaab, 0xaaaa, 0xaaaa, 0xaaaa, 0xbffc, 0x0000, 0x8887, 0x8888, 0x8888, 0x8888,
+     0x3ff8, 0x0000, 0xc527, 0x0d00, 0x00d0, 0xd00d, 0xbff2, 0x0000, 0x45f6, 0xb616,
+     0x1d2a, 0xb8ef, 0x3fec, 0x0000, 0x825b, 0x3997, 0x2b3f, 0xd732, 0xbfe5, 0x0000,
+     0xbf33, 0x8bb4, 0x2fda, 0xb092, 0x3fde, 0x0000, 0x44a6, 0xed1a, 0x29ef, 0xd73e,
+     0xbfd6, 0x0000, 0x8610, 0x307f, 0x62a1, 0xc921, 0x3fce, 0x0000
+ };
+
+ ALIGNED_(16) jushort _CP[] =
+ {
+     0x0000, 0x0000, 0x0000, 0x8000, 0xbffe, 0x0000, 0xaaa5, 0xaaaa, 0xaaaa, 0xaaaa,
+     0x3ffa, 0x0000, 0x9c2f, 0x0b60, 0x60b6, 0xb60b, 0xbff5, 0x0000, 0xf024, 0x0cac,
+     0x00d0, 0xd00d, 0x3fef, 0x0000, 0x03fe, 0x3f65, 0x7dbb, 0x93f2, 0xbfe9, 0x0000,
+     0xd84d, 0xadee, 0xc698, 0x8f76, 0x3fe2, 0x0000, 0xdaba, 0xfe79, 0xea36, 0xc9c9,
+     0xbfda, 0x0000, 0x3ac6, 0x0ba0, 0x07ce, 0xd585, 0x3fd2, 0x0000
+ };
+
+ ALIGNED_(16) juint _ones[] =
+ {
+     0x00000000UL, 0x3ff00000UL, 0x00000000UL, 0xbff00000UL
+ };
+
+ void MacroAssembler::libm_sincos_huge(XMMRegister xmm0, XMMRegister xmm1, Register eax, Register ecx, Register edx, Register ebx, Register esi, Register edi, Register ebp, Register esp) {
+   Label B1_1, B1_2, B1_3, B1_4, B1_5, B1_6, B1_7, B1_8, B1_9, B1_10, B1_11, B1_12;
+   Label B1_13, B1_14, B1_15, B1_16, B1_17, B1_18, B1_19, B1_20, B1_21, B1_22, B1_23;
+   Label B1_24, B1_25, B1_26, B1_27, B1_28, B1_29, B1_30, B1_31, B1_32, B1_33, B1_34;
+   Label B1_35, B1_36, B1_37, B1_38, B1_39, B1_40, B1_41, B1_42, B1_43, B1_44, B1_45, B1_46;
+
+   assert_different_registers(ebx, eax, ecx, edx, esi, edi, ebp, esp);
+
+
+   bind(B1_1);
+   push(ebp);
+   movl(ebp, esp);
+   andl(esp, -64);
+   push(esi);
+   push(edi);
+   push(ebx);
+   subl(esp, 52);
+
+   bind(B1_2);
+
+   bind(B1_3);
+   movl(eax, esi);
+   andl(eax, 2147483647);
+   andps(xmm1, ExternalAddress(L_2il0floatpacket_0));    //0xffffffffUL, 0x7fffffffUL, 0x00000000UL, 0x00000000UL
+   shrl(esi, 31);
+   cmpl(eax, 1104150528);
+   jcc(Assembler::aboveEqual, B1_11);
+
+   bind(B1_4);
+   mulsd(xmm0, xmm1);
+   movl(eax, edx);
+   andl(eax, 768);
+   cmpl(eax, 768);
+   jcc(Assembler::equal, B1_42);
+
+   bind(B1_5);
+   orl(edx, -64768);
+
+   bind(B1_6);
+
+   bind(B1_7);
+   movl(ebx, 1);
+
+   bind(B1_8);
+   movl(eax, ebx);
+   movl(esi, ebx);
+   shrl(esi, 20);
+   andl(eax, 1048575);
+   movl(ecx, esi);
+   orl(eax, 1048576);
+   negl(ecx);
+   movl(edx, eax);
+   shrl(edx);
+   movl(ecx, esi);
+   shll(eax);
+   shrl(esi);
+   orl(eax, esi);
+   cmpl(ebx, 1094713344);
+   cmov32(Assembler::below, eax, edx);
+   movl(ebx, edx);
+   andl(ebx, -2);
+   jcc(Assembler::aboveEqual, B1_10);
+
+   bind(B1_9);
+   fmul(1);
+   fld_d(ExternalAddress(8 + Pi4x3));    //0x3b39a000UL, 0x3d373dcbUL
+   fmul(1);
+   fld_d(ExternalAddress(16 + Pi4x3));    //0xe0e68948UL, 0xba845c06UL
+   fmulp(1);
+   jmp(B1_17);
+
+   bind(B1_10);
+   fmul(1);
+   fld_d(ExternalAddress(8 + Pi4x4));    //0x1a600000UL, 0xbdc0b461UL
+   fmul(1);
+   fld_d(ExternalAddress(16 + Pi4x4));    //0x2e000000UL, 0xbb93198aUL
+   fmul(1);
+   fld_d(ExternalAddress(24 + Pi4x4));    //0x252049c1UL, 0xb96b839aUL
+   fmulp(1);
+   jmp(B1_17);
+
+   bind(B1_11);
+   movl(eax, edx);
+   andl(eax, 768);
+   cmpl(eax, 768);
+   jcc(Assembler::equal, B1_43);
+   bind(B1_12);
+   orl(edx, -64768);
+
+   bind(B1_13);
+
+   bind(B1_14);
+   movl(ebx, 1);
+
+   bind(B1_15);
+
+   bind(B1_46);
+
+   bind(B1_16);
+
+   bind(B1_17);
+   movl(ecx, edx);
+   shrl(ecx, 2);
+   andl(ecx, 1);
+   shrl(eax, 2);
+   xorl(esi, ecx);
+   andl(eax, 1);
+   andl(ecx, 3);
+   cmpl(ecx, 3);
+   jcc(Assembler::notEqual, B1_25);
+
+   bind(B1_18);
+   fld_x(ExternalAddress(84 + SP));    //0x8610, 0x307f, 0x62
+   fld_s(1);
+   fmul((2));
+   testb(edx, 2);
+   fmula((1));
+   fld_x(ExternalAddress(72 + SP));    //0x44a6, 0xed1a, 0x29
+   fmula(1);
+   fld_x(ExternalAddress(60 + SP));    //0xbf33, 0x8bb4, 0x2f
+   fmula(1);
+   fld_x(ExternalAddress(48 + SP));    //0x825b, 0x3997, 0x2b
+   fmula(1);
+   fld_x(ExternalAddress(36 + SP));    //0x45f6, 0xb616, 0x1d
+   fmula(1);
+   fld_x(ExternalAddress(24 + SP));    //0xc527, 0x0d00, 0x00
+   fmula(1);
+   fld_x(ExternalAddress(12 + SP));    //0x8887, 0x8888, 0x88
+   fmula(1);
+   fmula(1);
+   fld_x(ExternalAddress(84 + CP));    //0x3ac6, 0x0ba0, 0x07
+   fmul(1);
+   fld_x(ExternalAddress(72 + CP));    //0xdaba, 0xfe79, 0xea
+   fmul(1);
+   fmul(1);
+   fld_x(ExternalAddress(48 + CP));    //0x03fe, 0x3f65, 0x7d
+   fmul(1);
+   fld_x(ExternalAddress(36 + CP));    //0xf024, 0x0cac, 0x00
+   fmul(1);
+   fld_x(ExternalAddress(24 + CP));    //0x9c2f, 0x0b60, 0x60
+   fmul(1);
+   fld_x(ExternalAddress(12 + CP));    //0xaaa5, 0xaaaa, 0xaa
+   fmul(1);
+   fmulp(1);
+   jcc(Assembler::equal, B1_22);
+
+   bind(B1_19);
+   fmulp(4);
+   testl(ebx, ebx);
+   fxch(2);
+   fmul(3);
+   fxch(2);
+   fmula(1);
+   jcc(Assembler::equal, B1_21);
+
+   bind(B1_20);
+
+   bind(B1_21);
+   pop(ebx);
+   pop(edi);
+   pop(esi);
+   movl(esp, ebp);
+   pop(ebp);
+   ret(0);
+
+   bind(B1_22);
+   fxch(1);
+   fmulp(4);
+   testl(ebx, ebx);
+   fxch(2);
+   fmul(3);
+   fxch(2);
+   fmula(1);
+   jcc(Assembler::equal, B1_24);
+
+   bind(B1_23);
+
+   bind(B1_24);
+   pop(ebx);
+   pop(edi);
+   pop(esi);
+   movl(esp, ebp);
+   pop(ebp);
+   ret(0);
+
+   bind(B1_25);
+   jcc(Assembler::equal, B1_33);
+
+   bind(B1_26);
+   fld_s(0);
+   testb(edx, 2);
+   fmul(1);
+   fld_s(0);
+   fmul(1);
+   jcc(Assembler::equal, B1_30);
+
+   bind(B1_27);
+   fstp_d(2);
+   fld_x(ExternalAddress(84 + CP));    //0x3ac6, 0x0ba0, 0x07
+   testl(ebx, ebx);
+   fmul(2);
+   fld_x(ExternalAddress(72 + CP));    //0xdaba, 0xfe79, 0xea
+   fmul(3);
+   fxch(1);
+   fmul(3);
+   fld_x(ExternalAddress(48 + CP));    //0x03fe, 0x3f65, 0x7d
+   fxch(1);
+   fmul(3);
+   fld_x(ExternalAddress(36 + CP));    //0xf024, 0x0cac, 0x00
+   fxch(1);
+   fmul(3);
+   fld_x(ExternalAddress(24 + CP));    //0x9c2f, 0x0b60, 0x60
+   fxch(1);
+   fmul(3);
+   fld_x(ExternalAddress(12 + CP));    //0xaaa5, 0xaaaa, 0xaa
+   fxch(1);
+   fmulp(3);
+   fmulp(1);
+   fmula(1);
+   jcc(Assembler::equal, B1_29);
+
+   bind(B1_28);
+
+   bind(B1_29);
+   pop(ebx);
+   pop(edi);
+   pop(esi);
+   movl(esp, ebp);
+   pop(ebp);
+   ret(0);
+
+   bind(B1_30);
+   fld_x(ExternalAddress(84 + SP));    //0x8610, 0x307f, 0x62
+   testl(ebx, ebx);
+   fmul(1);
+   fld_x(ExternalAddress(72 + SP));    //0x44a6, 0xed1a, 0x29
+   fmul(2);
+   fld_x(ExternalAddress(60 + SP));    //0xbf33, 0x8bb4, 0x2f
+   fxch(1);
+   fmul(2);
+   fld_x(ExternalAddress(48 + SP));    //0x825b, 0x3997, 0x2b
+   fxch(1);
+   fmul(2);
+   fld_x(ExternalAddress(36 + SP));    //0x45f6, 0xb616, 0x1d
+   fxch(1);
+   fmul(2);
+   fld_x(ExternalAddress(24 + SP));    //0xc527, 0x0d00, 0x00
+   fxch(1);
+   fmul(2);
+   fld_x(ExternalAddress(12 + SP));    //0x8887, 0x8888, 0x88
+   fxch(1);
+   fmulp(2);
+   fmulp(2);
+   fmulp(2);
+   fmul(1);
+   jcc(Assembler::equal, B1_32);
+
+   bind(B1_31);
+
+   bind(B1_32);
+   pop(ebx);
+   pop(edi);
+   pop(esi);
+   movl(esp, ebp);
+   pop(ebp);
+   ret(0);
+
+   bind(B1_33);
+   jcc(Assembler::equal, B1_41);
+
+   bind(B1_34);
+   fld_s(0);
+   testb(edx, 2);
+   fmul(1);
+   fld_s(0);
+   fmul(1);
+   jcc(Assembler::equal, B1_38);
+
+   bind(B1_35);
+   fld_x(ExternalAddress(84 + SP));    //0x8610, 0x307f, 0x62
+   testl(ebx, ebx);
+   fmul(1);
+   fld_x(ExternalAddress(72 + SP));    //0x44a6, 0xed1a, 0x29
+   fmul(2);
+   fld_x(ExternalAddress(60 + SP));    //0xbf33, 0x8bb4, 0x2f
+   fxch(1);
+   fmul(2);
+   fld_x(ExternalAddress(48 + SP));    //0x825b, 0x3997, 0x2b
+   fxch(1);
+   fmul(2);
+   fld_x(ExternalAddress(36 + SP));    //0x45f6, 0xb616, 0x1d
+   fxch(1);
+   fmul(2);
+   fld_x(ExternalAddress(24 + SP));    //0xc527, 0x0d00, 0x00
+   fxch(1);
+   fmul(2);
+   fld_x(ExternalAddress(12 + SP));    //0x8887, 0x8888, 0x88
+   fxch(1);
+   fmulp(2);
+   fmulp(2);
+   fmulp(2);
+   fmul(1);
+   jcc(Assembler::equal, B1_37);
+
+   bind(B1_36);
+
+   bind(B1_37);
+   pop(ebx);
+   pop(edi);
+   pop(esi);
+   movl(esp, ebp);
+   pop(ebp);
+   ret(0);
+
+   bind(B1_38);
+   fstp_d(2);
+   fld_x(ExternalAddress(84 + CP));    //0x3ac6, 0x0ba0, 0x07
+   testl(ebx, ebx);
+   fmul(2);
+   fld_x(ExternalAddress(72 + CP));    //0xdaba, 0xfe79, 0xea
+   fmul(3);
+   fxch(1);
+   fmul(3);
+   fld_x(ExternalAddress(48 + CP));    //0x03fe, 0x3f65, 0x7d
+   fxch(1);
+   fmul(3);
+   fld_x(ExternalAddress(36 + CP));    //0xf024, 0x0cac, 0x00
+   fxch(1);
+   fmul(3);
+   fld_x(ExternalAddress(24 + CP));    //0x9c2f, 0x0b60, 0x60
+   fxch(1);
+   fmul(3);
+   fld_x(ExternalAddress(12 + CP));    //0xaaa5, 0xaaaa, 0xaa
+   fxch(1);
+   fmulp(3);
+   fmulp(1);
+   fmula(1);
+   jcc(Assembler::equal, B1_40);
+
+   bind(B1_39);
+   bind(B1_40);
+   pop(ebx);
+   pop(edi);
+   pop(esi);
+   movl(esp, ebp);
+   pop(ebp);
+   ret(0);
+   bind(B1_41);
+   fstp_d(0);
+   pop(ebx);
+   pop(edi);
+   pop(esi);
+   movl(esp, ebp);
+   pop(ebp);
+   ret(0);
+   bind(B1_42);
+   xorl(ebx, ebx);
+   jmp(B1_8);
+   bind(B1_43);
+   xorl(ebx, ebx);
+   jmp(B1_15);
+ }
+
+ ALIGNED_(16) juint _static_const_table_sin[] =
+ {
+     0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,
+     0x00000000UL, 0x00000000UL, 0x3ff00000UL, 0x176d6d31UL, 0xbf73b92eUL,
+     0xbc29b42cUL, 0x3fb917a6UL, 0xe0000000UL, 0xbc3e2718UL, 0x00000000UL,
+     0x3ff00000UL, 0x011469fbUL, 0xbf93ad06UL, 0x3c69a60bUL, 0x3fc8f8b8UL,
+     0xc0000000UL, 0xbc626d19UL, 0x00000000UL, 0x3ff00000UL, 0x939d225aUL,
+     0xbfa60beaUL, 0x2ed59f06UL, 0x3fd29406UL, 0xa0000000UL, 0xbc75d28dUL,
+     0x00000000UL, 0x3ff00000UL, 0x866b95cfUL, 0xbfb37ca1UL, 0xa6aea963UL,
+     0x3fd87de2UL, 0xe0000000UL, 0xbc672cedUL, 0x00000000UL, 0x3ff00000UL,
+     0x73fa1279UL, 0xbfbe3a68UL, 0x3806f63bUL, 0x3fde2b5dUL, 0x20000000UL,
+     0x3c5e0d89UL, 0x00000000UL, 0x3ff00000UL, 0x5bc57974UL, 0xbfc59267UL,
+     0x39ae68c8UL, 0x3fe1c73bUL, 0x20000000UL, 0x3c8b25ddUL, 0x00000000UL,
+     0x3ff00000UL, 0x53aba2fdUL, 0xbfcd0dfeUL, 0x25091dd6UL, 0x3fe44cf3UL,
+     0x20000000UL, 0x3c68076aUL, 0x00000000UL, 0x3ff00000UL, 0x99fcef32UL,
+     0x3fca8279UL, 0x667f3bcdUL, 0x3fe6a09eUL, 0x20000000UL, 0xbc8bdd34UL,
+     0x00000000UL, 0x3fe00000UL, 0x94247758UL, 0x3fc133ccUL, 0x6b151741UL,
+     0x3fe8bc80UL, 0x20000000UL, 0xbc82c5e1UL, 0x00000000UL, 0x3fe00000UL,
+     0x9ae68c87UL, 0x3fac73b3UL, 0x290ea1a3UL, 0x3fea9b66UL, 0xe0000000UL,
+     0x3c39f630UL, 0x00000000UL, 0x3fe00000UL, 0x7f909c4eUL, 0xbf9d4a2cUL,
+     0xf180bdb1UL, 0x3fec38b2UL, 0x80000000UL, 0xbc76e0b1UL, 0x00000000UL,
+     0x3fe00000UL, 0x65455a75UL, 0xbfbe0875UL, 0xcf328d46UL, 0x3fed906bUL,
+     0x20000000UL, 0x3c7457e6UL, 0x00000000UL, 0x3fe00000UL, 0x76acf82dUL,
+     0x3fa4a031UL, 0x56c62ddaUL, 0x3fee9f41UL, 0xe0000000UL, 0x3c8760b1UL,
+     0x00000000UL, 0x3fd00000UL, 0x0e5967d5UL, 0xbfac1d1fUL, 0xcff75cb0UL,
+     0x3fef6297UL, 0x20000000UL, 0x3c756217UL, 0x00000000UL, 0x3fd00000UL,
+     0x0f592f50UL, 0xbf9ba165UL, 0xa3d12526UL, 0x3fefd88dUL, 0x40000000UL,
+     0xbc887df6UL, 0x00000000UL, 0x3fc00000UL, 0x00000000UL, 0x00000000UL,
+     0x00000000UL, 0x3ff00000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,
+     0x00000000UL, 0x0f592f50UL, 0x3f9ba165UL, 0xa3d12526UL, 0x3fefd88dUL,
+     0x40000000UL, 0xbc887df6UL, 0x00000000UL, 0xbfc00000UL, 0x0e5967d5UL,
+     0x3fac1d1fUL, 0xcff75cb0UL, 0x3fef6297UL, 0x20000000UL, 0x3c756217UL,
+     0x00000000UL, 0xbfd00000UL, 0x76acf82dUL, 0xbfa4a031UL, 0x56c62ddaUL,
+     0x3fee9f41UL, 0xe0000000UL, 0x3c8760b1UL, 0x00000000UL, 0xbfd00000UL,
+     0x65455a75UL, 0x3fbe0875UL, 0xcf328d46UL, 0x3fed906bUL, 0x20000000UL,
+     0x3c7457e6UL, 0x00000000UL, 0xbfe00000UL, 0x7f909c4eUL, 0x3f9d4a2cUL,
+     0xf180bdb1UL, 0x3fec38b2UL, 0x80000000UL, 0xbc76e0b1UL, 0x00000000UL,
+     0xbfe00000UL, 0x9ae68c87UL, 0xbfac73b3UL, 0x290ea1a3UL, 0x3fea9b66UL,
+     0xe0000000UL, 0x3c39f630UL, 0x00000000UL, 0xbfe00000UL, 0x94247758UL,
+     0xbfc133ccUL, 0x6b151741UL, 0x3fe8bc80UL, 0x20000000UL, 0xbc82c5e1UL,
+     0x00000000UL, 0xbfe00000UL, 0x99fcef32UL, 0xbfca8279UL, 0x667f3bcdUL,
+     0x3fe6a09eUL, 0x20000000UL, 0xbc8bdd34UL, 0x00000000UL, 0xbfe00000UL,
+     0x53aba2fdUL, 0x3fcd0dfeUL, 0x25091dd6UL, 0x3fe44cf3UL, 0x20000000UL,
+     0x3c68076aUL, 0x00000000UL, 0xbff00000UL, 0x5bc57974UL, 0x3fc59267UL,
+     0x39ae68c8UL, 0x3fe1c73bUL, 0x20000000UL, 0x3c8b25ddUL, 0x00000000UL,
+     0xbff00000UL, 0x73fa1279UL, 0x3fbe3a68UL, 0x3806f63bUL, 0x3fde2b5dUL,
+     0x20000000UL, 0x3c5e0d89UL, 0x00000000UL, 0xbff00000UL, 0x866b95cfUL,
+     0x3fb37ca1UL, 0xa6aea963UL, 0x3fd87de2UL, 0xe0000000UL, 0xbc672cedUL,
+     0x00000000UL, 0xbff00000UL, 0x939d225aUL, 0x3fa60beaUL, 0x2ed59f06UL,
+     0x3fd29406UL, 0xa0000000UL, 0xbc75d28dUL, 0x00000000UL, 0xbff00000UL,
+     0x011469fbUL, 0x3f93ad06UL, 0x3c69a60bUL, 0x3fc8f8b8UL, 0xc0000000UL,
+     0xbc626d19UL, 0x00000000UL, 0xbff00000UL, 0x176d6d31UL, 0x3f73b92eUL,
+     0xbc29b42cUL, 0x3fb917a6UL, 0xe0000000UL, 0xbc3e2718UL, 0x00000000UL,
+     0xbff00000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,
+     0x00000000UL, 0x00000000UL, 0x00000000UL, 0xbff00000UL, 0x176d6d31UL,
+     0x3f73b92eUL, 0xbc29b42cUL, 0xbfb917a6UL, 0xe0000000UL, 0x3c3e2718UL,
+     0x00000000UL, 0xbff00000UL, 0x011469fbUL, 0x3f93ad06UL, 0x3c69a60bUL,
+     0xbfc8f8b8UL, 0xc0000000UL, 0x3c626d19UL, 0x00000000UL, 0xbff00000UL,
+     0x939d225aUL, 0x3fa60beaUL, 0x2ed59f06UL, 0xbfd29406UL, 0xa0000000UL,
+     0x3c75d28dUL, 0x00000000UL, 0xbff00000UL, 0x866b95cfUL, 0x3fb37ca1UL,
+     0xa6aea963UL, 0xbfd87de2UL, 0xe0000000UL, 0x3c672cedUL, 0x00000000UL,
+     0xbff00000UL, 0x73fa1279UL, 0x3fbe3a68UL, 0x3806f63bUL, 0xbfde2b5dUL,
+     0x20000000UL, 0xbc5e0d89UL, 0x00000000UL, 0xbff00000UL, 0x5bc57974UL,
+     0x3fc59267UL, 0x39ae68c8UL, 0xbfe1c73bUL, 0x20000000UL, 0xbc8b25ddUL,
+     0x00000000UL, 0xbff00000UL, 0x53aba2fdUL, 0x3fcd0dfeUL, 0x25091dd6UL,
+     0xbfe44cf3UL, 0x20000000UL, 0xbc68076aUL, 0x00000000UL, 0xbff00000UL,
+     0x99fcef32UL, 0xbfca8279UL, 0x667f3bcdUL, 0xbfe6a09eUL, 0x20000000UL,
+     0x3c8bdd34UL, 0x00000000UL, 0xbfe00000UL, 0x94247758UL, 0xbfc133ccUL,
+     0x6b151741UL, 0xbfe8bc80UL, 0x20000000UL, 0x3c82c5e1UL, 0x00000000UL,
+     0xbfe00000UL, 0x9ae68c87UL, 0xbfac73b3UL, 0x290ea1a3UL, 0xbfea9b66UL,
+     0xe0000000UL, 0xbc39f630UL, 0x00000000UL, 0xbfe00000UL, 0x7f909c4eUL,
+     0x3f9d4a2cUL, 0xf180bdb1UL, 0xbfec38b2UL, 0x80000000UL, 0x3c76e0b1UL,
+     0x00000000UL, 0xbfe00000UL, 0x65455a75UL, 0x3fbe0875UL, 0xcf328d46UL,
+     0xbfed906bUL, 0x20000000UL, 0xbc7457e6UL, 0x00000000UL, 0xbfe00000UL,
+     0x76acf82dUL, 0xbfa4a031UL, 0x56c62ddaUL, 0xbfee9f41UL, 0xe0000000UL,
+     0xbc8760b1UL, 0x00000000UL, 0xbfd00000UL, 0x0e5967d5UL, 0x3fac1d1fUL,
+     0xcff75cb0UL, 0xbfef6297UL, 0x20000000UL, 0xbc756217UL, 0x00000000UL,
+     0xbfd00000UL, 0x0f592f50UL, 0x3f9ba165UL, 0xa3d12526UL, 0xbfefd88dUL,
+     0x40000000UL, 0x3c887df6UL, 0x00000000UL, 0xbfc00000UL, 0x00000000UL,
+     0x00000000UL, 0x00000000UL, 0xbff00000UL, 0x00000000UL, 0x00000000UL,
+     0x00000000UL, 0x00000000UL, 0x0f592f50UL, 0xbf9ba165UL, 0xa3d12526UL,
+     0xbfefd88dUL, 0x40000000UL, 0x3c887df6UL, 0x00000000UL, 0x3fc00000UL,
+     0x0e5967d5UL, 0xbfac1d1fUL, 0xcff75cb0UL, 0xbfef6297UL, 0x20000000UL,
+     0xbc756217UL, 0x00000000UL, 0x3fd00000UL, 0x76acf82dUL, 0x3fa4a031UL,
+     0x56c62ddaUL, 0xbfee9f41UL, 0xe0000000UL, 0xbc8760b1UL, 0x00000000UL,
+     0x3fd00000UL, 0x65455a75UL, 0xbfbe0875UL, 0xcf328d46UL, 0xbfed906bUL,
+     0x20000000UL, 0xbc7457e6UL, 0x00000000UL, 0x3fe00000UL, 0x7f909c4eUL,
+     0xbf9d4a2cUL, 0xf180bdb1UL, 0xbfec38b2UL, 0x80000000UL, 0x3c76e0b1UL,
+     0x00000000UL, 0x3fe00000UL, 0x9ae68c87UL, 0x3fac73b3UL, 0x290ea1a3UL,
+     0xbfea9b66UL, 0xe0000000UL, 0xbc39f630UL, 0x00000000UL, 0x3fe00000UL,
+     0x94247758UL, 0x3fc133ccUL, 0x6b151741UL, 0xbfe8bc80UL, 0x20000000UL,
+     0x3c82c5e1UL, 0x00000000UL, 0x3fe00000UL, 0x99fcef32UL, 0x3fca8279UL,
+     0x667f3bcdUL, 0xbfe6a09eUL, 0x20000000UL, 0x3c8bdd34UL, 0x00000000UL,
+     0x3fe00000UL, 0x53aba2fdUL, 0xbfcd0dfeUL, 0x25091dd6UL, 0xbfe44cf3UL,
+     0x20000000UL, 0xbc68076aUL, 0x00000000UL, 0x3ff00000UL, 0x5bc57974UL,
+     0xbfc59267UL, 0x39ae68c8UL, 0xbfe1c73bUL, 0x20000000UL, 0xbc8b25ddUL,
+     0x00000000UL, 0x3ff00000UL, 0x73fa1279UL, 0xbfbe3a68UL, 0x3806f63bUL,
+     0xbfde2b5dUL, 0x20000000UL, 0xbc5e0d89UL, 0x00000000UL, 0x3ff00000UL,
+     0x866b95cfUL, 0xbfb37ca1UL, 0xa6aea963UL, 0xbfd87de2UL, 0xe0000000UL,
+     0x3c672cedUL, 0x00000000UL, 0x3ff00000UL, 0x939d225aUL, 0xbfa60beaUL,
+     0x2ed59f06UL, 0xbfd29406UL, 0xa0000000UL, 0x3c75d28dUL, 0x00000000UL,
+     0x3ff00000UL, 0x011469fbUL, 0xbf93ad06UL, 0x3c69a60bUL, 0xbfc8f8b8UL,
+     0xc0000000UL, 0x3c626d19UL, 0x00000000UL, 0x3ff00000UL, 0x176d6d31UL,
+     0xbf73b92eUL, 0xbc29b42cUL, 0xbfb917a6UL, 0xe0000000UL, 0x3c3e2718UL,
+     0x00000000UL, 0x3ff00000UL, 0x55555555UL, 0xbfc55555UL, 0x00000000UL,
+     0xbfe00000UL, 0x11111111UL, 0x3f811111UL, 0x55555555UL, 0x3fa55555UL,
+     0x1a01a01aUL, 0xbf2a01a0UL, 0x16c16c17UL, 0xbf56c16cUL, 0xa556c734UL,
+     0x3ec71de3UL, 0x1a01a01aUL, 0x3efa01a0UL, 0x1a600000UL, 0x3d90b461UL,
+     0x1a600000UL, 0x3d90b461UL, 0x54400000UL, 0x3fb921fbUL, 0x00000000UL,
+     0x00000000UL, 0x2e037073UL, 0x3b63198aUL, 0x00000000UL, 0x00000000UL,
+     0x6dc9c883UL, 0x40245f30UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,
+     0x43380000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x43600000UL,
+     0x00000000UL, 0x00000000UL, 0x00000000UL, 0x3c800000UL, 0x00000000UL,
+     0x00000000UL, 0xffffffffUL, 0x3fefffffUL, 0x00000000UL, 0x00000000UL,
+     0x00000000UL, 0x80000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,
+     0x80000000UL, 0x00000000UL, 0x80000000UL, 0x00000000UL, 0x3fe00000UL,
+     0x00000000UL, 0x3fe00000UL
+ };
+
+ void MacroAssembler::fast_sin(XMMRegister xmm0, XMMRegister xmm1, XMMRegister xmm2, XMMRegister xmm3, XMMRegister xmm4, XMMRegister xmm5, XMMRegister xmm6, XMMRegister xmm7, Register eax, Register ebx, Register edx) {
+
+   Label L_2TAG_PACKET_0_0_2, L_2TAG_PACKET_1_0_2, L_2TAG_PACKET_2_0_2, L_2TAG_PACKET_3_0_2;
+   Label L_2TAG_PACKET_4_0_2, start;
+   assert_different_registers(eax, ebx, edx);
+
+   bind(start);
+   subl(rsp, 120);
+   pextrw(eax, xmm0, 3);
+   andl(eax, 32767);
+   subl(eax, 12336);
+   cmpl(eax, 4293);
+   jcc(Assembler::above, L_2TAG_PACKET_0_0_2);
+   mulsd(xmm1, xmm0);
+   pand(xmm4, xmm0);
+   por(xmm5, xmm4);
+   cvttsd2sil(edx, xmm1);
+   cvtsi2sdl(xmm1, edx);
+   mulsd(xmm3, xmm1);
+   unpcklpd(xmm1, xmm1);
+   movdqu(xmm4, xmm0);
+   andl(edx, 63);
+   shll(edx, 5);
+   mulpd(xmm2, xmm1);
+   subsd(xmm0, xmm3);
+   subsd(xmm4, xmm3);
+   unpcklpd(xmm0, xmm0);
+   movapd(xmm3, xmm4);
+   subsd(xmm4, xmm2);
+   mulpd(xmm5, xmm0);
+   subpd(xmm0, xmm2);
+   mulsd(xmm7, xmm4);
+   subsd(xmm3, xmm4);
+   mulpd(xmm5, xmm0);
+   mulpd(xmm0, xmm0);
+   subsd(xmm3, xmm2);
+   subsd(xmm1, xmm3);
+   subsd(xmm7, xmm2);
+   mulsd(xmm2, xmm4);
+   mulpd(xmm6, xmm0);
+   mulsd(xmm3, xmm4);
+   mulpd(xmm2, xmm0);
+   mulpd(xmm0, xmm0);
+   mulpd(xmm5, xmm0);
+   movapd(xmm0, xmm3);
+   mulpd(xmm1, xmm7);
+   movapd(xmm7, xmm4);
+   subsd(xmm5, xmm3);
+   subsd(xmm3, xmm4);
+   mulpd(xmm6, xmm2);
+   unpckhpd(xmm6, xmm6);
+   jmp(L_2TAG_PACKET_1_0_2);
+
+   bind(L_2TAG_PACKET_0_0_2);
+   jcc(Assembler::greater, L_2TAG_PACKET_2_0_2);
+   shrl(eax, 4);
+   cmpl(eax, 268434685);
+   jcc(Assembler::notEqual, L_2TAG_PACKET_3_0_2);
+   jmp(L_2TAG_PACKET_1_0_2);
+
+   bind(L_2TAG_PACKET_3_0_2);
+   mulsd(xmm3, xmm0);
+   subsd(xmm3, xmm0);
+   jmp(L_2TAG_PACKET_1_0_2);
+
+   bind(L_2TAG_PACKET_2_0_2);
+   andl(eax, 2146435072);
+   cmpl(eax, 2146435072);
+   jcc(Assembler::equal, L_2TAG_PACKET_4_0_2);
+   subl(rsp, 32);
+   movl(eax, 2);
+   jmp(L_2TAG_PACKET_1_0_2);
+   bind(L_2TAG_PACKET_4_0_2);
+   bind(L_2TAG_PACKET_1_0_2);
+ }
+
+ #endif
+
+ /******************************************************************************/
+ //                     ALGORITHM DESCRIPTION - COS()
+ //                     ---------------------
+ //
+ //     1. RANGE REDUCTION
+ //
+ //     We perform an initial range reduction from X to r with
+ //
+ //          X =~= N * pi/32 + r
+ //
+ //     so that |r| <= pi/64 + epsilon. We restrict inputs to those
+ //     where |N| <= 932560. Beyond this, the range reduction is
+ //     insufficiently accurate. For extremely small inputs,
+ //     denormalization can occur internally, impacting performance.
+ //     This means that the main path is actually only taken for
+ //     2^-252 <= |X| < 90112.
+ //
+ //     To avoid branches, we perform the range reduction to full
+ //     accuracy each time.
+ //
+ //          X - N * (P_1 + P_2 + P_3)
+ //
+ //     where P_1 and P_2 are 32-bit numbers (so multiplication by N
+ //     is exact) and P_3 is a 53-bit number. Together, these
+ //     approximate pi well enough for all cases in the restricted
+ //     range.
+ //
+ //     The main reduction sequence is:
+ //
+ //             y = 32/pi * x
+ //             N = integer(y)
+ //     (computed by adding and subtracting off SHIFTER)
+ //
+ //             m_1 = N * P_1
+ //             m_2 = N * P_2
+ //             r_1 = x - m_1
+ //             r = r_1 - m_2
+ //     (this r can be used for most of the calculation)
+ //
+ //             c_1 = r_1 - r
+ //             m_3 = N * P_3
+ //             c_2 = c_1 - m_2
+ //             c = c_2 - m_3
+ //
+ //     2. MAIN ALGORITHM
+ //
+ //     The algorithm uses a table lookup based on B = M * pi / 32
+ //     where M = N mod 64. The stored values are:
+ //       sigma             closest power of 2 to cos(B)
+ //       C_hl              53-bit cos(B) - sigma
+ //       S_hi + S_lo       2 * 53-bit sin(B)
+ //
+ //     The computation is organized as follows:
+ //
+ //          sin(B + r + c) = [sin(B) + sigma * r] +
+ //                           r * (cos(B) - sigma) +
+ //                           sin(B) * [cos(r + c) - 1] +
+ //                           cos(B) * [sin(r + c) - r]
+ //
+ //     which is approximately:
+ //
+ //          [S_hi + sigma * r] +
+ //          C_hl * r +
+ //          S_lo + S_hi * [(cos(r) - 1) - r * c] +
+ //          (C_hl + sigma) * [(sin(r) - r) + c]
+ //
+ //     and this is what is actually computed. We separate this sum
+ //     into four parts:
+ //
+ //          hi + med + pols + corr
+ //
+ //     where
+ //
+ //          hi       = S_hi + sigma r
+ //          med      = C_hl * r
+ //          pols     = S_hi * (cos(r) - 1) + (C_hl + sigma) * (sin(r) - r)
+ //          corr     = S_lo + c * ((C_hl + sigma) - S_hi * r)
+ //
+ //     3. POLYNOMIAL
+ //
+ //     The polynomial S_hi * (cos(r) - 1) + (C_hl + sigma) *
+ //     (sin(r) - r) can be rearranged freely, since it is quite
+ //     small, so we exploit parallelism to the fullest.
+ //
+ //          psc4       =   SC_4 * r_1
+ //          msc4       =   psc4 * r
+ //          r2         =   r * r
+ //          msc2       =   SC_2 * r2
+ //          r4         =   r2 * r2
+ //          psc3       =   SC_3 + msc4
+ //          psc1       =   SC_1 + msc2
+ //          msc3       =   r4 * psc3
+ //          sincospols =   psc1 + msc3
+ //          pols       =   sincospols *
+ //                         <S_hi * r^2 | (C_hl + sigma) * r^3>
+ //
+ //     4. CORRECTION TERM
+ //
+ //     This is where the "c" component of the range reduction is
+ //     taken into account; recall that just "r" is used for most of
+ //     the calculation.
+ //
+ //          -c   = m_3 - c_2
+ //          -d   = S_hi * r - (C_hl + sigma)
+ //          corr = -c * -d + S_lo
+ //
+ //     5. COMPENSATED SUMMATIONS
+ //
+ //     The two successive compensated summations add up the high
+ //     and medium parts, leaving just the low parts to add up at
+ //     the end.
+ //
+ //          rs        =  sigma * r
+ //          res_int   =  S_hi + rs
+ //          k_0       =  S_hi - res_int
+ //          k_2       =  k_0 + rs
+ //          med       =  C_hl * r
+ //          res_hi    =  res_int + med
+ //          k_1       =  res_int - res_hi
+ //          k_3       =  k_1 + med
+ //
+ //     6. FINAL SUMMATION
+ //
+ //     We now add up all the small parts:
+ //
+ //          res_lo = pols(hi) + pols(lo) + corr + k_1 + k_3
+ //
+ //     Now the overall result is just:
+ //
+ //          res_hi + res_lo
+ //
+ //     7. SMALL ARGUMENTS
+ //
+ //     Inputs with |X| < 2^-252 are treated specially as
+ //     1 - |x|.
+ //
+ // Special cases:
+ //  cos(NaN) = quiet NaN, and raise invalid exception
+ //  cos(INF) = NaN and raise invalid exception
+ //  cos(0) = 1
+ //
+ /******************************************************************************/
+
+ #ifdef _LP64
+
+ ALIGNED_(8) juint _ONE[] =
+ {
+     0x00000000UL, 0x3ff00000UL
+ };
+
+ void MacroAssembler::fast_cos(XMMRegister xmm0, XMMRegister xmm1, XMMRegister xmm2, XMMRegister xmm3, XMMRegister xmm4, XMMRegister xmm5, XMMRegister xmm6, XMMRegister xmm7, Register eax, Register ecx, Register edx, Register r8, Register r9, Register r10, Register r11) {
+   Label L_2TAG_PACKET_0_0_1, L_2TAG_PACKET_1_0_1, L_2TAG_PACKET_2_0_1, L_2TAG_PACKET_3_0_1;
+   Label L_2TAG_PACKET_4_0_1, L_2TAG_PACKET_5_0_1, L_2TAG_PACKET_6_0_1, L_2TAG_PACKET_7_0_1;
+   Label L_2TAG_PACKET_8_0_1, L_2TAG_PACKET_9_0_1, L_2TAG_PACKET_10_0_1, L_2TAG_PACKET_11_0_1;
+   Label L_2TAG_PACKET_12_0_1, L_2TAG_PACKET_13_0_1, B1_2, B1_3, B1_4, B1_5, start;
+
+   assert_different_registers(r8, r9, r10, r11, eax, ecx, edx);
+
+
+   bind(start);
+   push(rbx);
+   subq(rsp, 16);
+
+   bind(B1_2);
+   andl(eax, 2147418112);
+   subl(eax, 808452096);
+   cmpl(eax, 281346048);
+   jcc(Assembler::above, L_2TAG_PACKET_0_0_1);
+   mulsd(xmm1, xmm0);
+   movdqu(xmm5, ExternalAddress(ONEHALF));    //0x00000000UL, 0x3fe00000UL, 0x00000000UL, 0x3fe00000UL
+   pand(xmm4, xmm0);
+   por(xmm5, xmm4);
+   cvttsd2sil(edx, xmm1);
+   cvtsi2sdl(xmm1, edx);
+   movdqu(xmm2, ExternalAddress(P_2));    //0x1a600000UL, 0x3d90b461UL, 0x1a600000UL, 0x3d90b461UL
+   mulsd(xmm3, xmm1);
+   unpcklpd(xmm1, xmm1);
+   movdqu(xmm4, xmm0);
+   andq(rdx, 63);
+   movdqu(xmm5, ExternalAddress(SC_4));    //0xa556c734UL, 0x3ec71de3UL, 0x1a01a01aUL, 0x3efa01a0UL
+   shlq(rdx, 5);
+   mulpd(xmm2, xmm1);
+   subsd(xmm0, xmm3);
+   subsd(xmm4, xmm3);
+   unpcklpd(xmm0, xmm0);
+   movdqu(xmm3, xmm4);
+   subsd(xmm4, xmm2);
+   mulpd(xmm5, xmm0);
+   subpd(xmm0, xmm2);
+   movdqu(xmm6, ExternalAddress(SC_2));    //0x11111111UL, 0x3f811111UL, 0x55555555UL, 0x3fa55555UL
+   mulsd(xmm7, xmm4);
+   subsd(xmm3, xmm4);
+   mulpd(xmm5, xmm0);
+   mulpd(xmm0, xmm0);
+   subsd(xmm3, xmm2);
+   subsd(xmm1, xmm3);
+   subsd(xmm7, xmm2);
+   mulsd(xmm2, xmm4);
+   mulpd(xmm6, xmm0);
+   mulsd(xmm3, xmm4);
+   mulpd(xmm2, xmm0);
+   mulpd(xmm0, xmm0);
+   mulpd(xmm5, xmm0);
+   movdqu(xmm0, xmm3);
+   mulpd(xmm1, xmm7);
+   movdqu(xmm7, xmm4);
+   subsd(xmm5, xmm3);
+   subsd(xmm3, xmm4);
+   mulpd(xmm6, xmm2);
+   unpckhpd(xmm6, xmm6);
+   jmp(B1_4);
+
+   bind(L_2TAG_PACKET_0_0_1);
+   jcc(Assembler::greater, L_2TAG_PACKET_1_0_1);
+   pextrw(eax, xmm0, 3);
+   andl(eax, 32767);
+   pinsrw(xmm0, eax, 3);
+   subsd(xmm1, xmm0);
+   movdqu(xmm0, xmm1);
+   jmp(B1_4);
+
+   bind(L_2TAG_PACKET_1_0_1);
+   pextrw(eax, xmm0, 3);
+   andl(eax, 32752);
+   cmpl(eax, 32752);
+   jcc(Assembler::equal, L_2TAG_PACKET_2_0_1);
+   pextrw(ecx, xmm0, 3);
+   andl(ecx, 32752);
+   subl(ecx, 16224);
+   shrl(ecx, 7);
+   andl(ecx, 65532);
+   movdq(rax, xmm0);
+   movl(edx, eax);
+   shrq(rax, 21);
+   orl(eax, INT_MIN);
+   shrl(eax, 11);
+   movl(r9, r10);
+   imulq(r10, rdx);
+   imulq(r9, rax);
+   imulq(r8, rax);
+   movl(r11, r10);
+   shrq(r10, 32);
+   movl(r8, r11);
+   shrq(r11, 32);
+   movl(r10, rsi);
+   imulq(rsi, rdx);
+   imulq(r10, rax);
+   movl(r11, rdi);
+   imulq(rdi, rdx);
+   movl(rbx, rsi);
+   shrq(rsi, 32);
+   movl(rbx, r9);
+   shrq(r9, 32);
+   shlq(rbx, 32);
+   orq(r8, rbx);
+   imulq(r11, rax);
+   movl(rbx, rdi);
+   shrq(rdi, 32);
+   movl(rbx, r10);
+   shrq(r10, 32);
+   movq(rdi, r9);
+   imulq(r9, rdx);
+   imulq(rdi, rax);
+   movl(r10, r9);
+   shrq(r9, 32);
+   movl(r10, r11);
+   shrq(r11, 32);
+   movq(r9, rsi);
+   imulq(rsi, rdx);
+   imulq(r9, rax);
+   shlq(r10, 32);
+   orq(r10, rbx);
+   movl(r11, rsi);
+   shrq(rsi, 32);
+   movl(r11, rdi);
+   shrq(rdi, 32);
+   imulq(rdx, rax);
+   pextrw(rbx, xmm0, 3);
+   subq(rcx, rdi);
+   movl(rsi, 32768);
+   andl(rsi, rbx);
+   shrl(rbx, 4);
+   andl(rbx, 2047);
+   subl(rbx, 1023);
+   subl(ecx, rbx);
+   movl(edx, ecx);
+   cmpl(ecx, 1);
+   jcc(Assembler::less, L_2TAG_PACKET_3_0_1);
+   negl(ecx);
+   shll(r9);
+   movl(rdi, r9);
+   andl(r9, 536870911);
+   testl(r9, 268435456);
+   jcc(Assembler::notEqual, L_2TAG_PACKET_4_0_1);
+   shrl(r9);
+   movl(rbx, 0);
+   shlq(r9, 32);
+   orq(r9, r11);
+
+   bind(L_2TAG_PACKET_5_0_1);
+
+   bind(L_2TAG_PACKET_6_0_1);
+   cmpq(r9, 0);
+   jcc(Assembler::equal, L_2TAG_PACKET_7_0_1);
+
+   bind(L_2TAG_PACKET_8_0_1);
+   bsrq(r11, r9);
+   movl(ecx, 29);
+   subl(ecx, r11);
+   jcc(Assembler::lessEqual, L_2TAG_PACKET_9_0_1);
+   shlq(r9);
+   movq(rax, r10);
+   shlq(r10);
+   negl(ecx);
+   shrq(rax);
+   shrq(r8);
+   orq(r9, rax);
+   orq(r10, r8);
+
+   bind(L_2TAG_PACKET_10_0_1);
+   cvtsi2sdq(xmm0, r9);
+   shrq(r10, 1);
+   cvtsi2sdq(xmm3, r10);
+   xorpd(xmm4, xmm4);
+   shll(edx, 4);
+   negl(edx);
+   orl(edx, rsi);
+   xorl(edx, rbx);
+   pinsrw(xmm4, edx, 3);
+   movq(xmm2, ExternalAddress(PI_4));    //0x40000000UL, 0x3fe921fbUL, 0x18469899UL, 0x3e64442dUL
+   movq(xmm6, ExternalAddress(8 + PI_4));    //0x3fe921fbUL, 0x18469899UL, 0x3e64442dUL
+   xorpd(xmm5, xmm5);
+   subl(edx, 1008);
+   pinsrw(xmm5, edx, 3);
+   mulsd(xmm0, xmm4);
+   shll(rsi, 16);
+   sarl(rsi, 31);
+   mulsd(xmm3, xmm5);
+   movdqu(xmm1, xmm0);
+   mulsd(xmm0, xmm2);
+   shrl(rdi, 29);
+   mulsd(xmm3, xmm2);
+   xorl(rdi, rsi);
+   mulsd(xmm6, xmm1);
+   movl(eax, rdi);
+   movdqu(xmm2, xmm0);
+   subsd(xmm2, xmm0);
+
+   bind(L_2TAG_PACKET_11_0_1);
+   mulsd(xmm1, xmm0);
+   movq(xmm5, ExternalAddress(ONEHALF));    //0x00000000UL, 0x3fe00000UL, 0x00000000UL, 0x3fe00000UL
+   pand(xmm4, xmm0);
+   por(xmm5, xmm4);
+   cvttsd2siq(rdx, xmm1);
+   cvtsi2sdq(xmm1, rdx);
+   movdqu(xmm2, ExternalAddress(P_2));    //0x1a600000UL, 0x3d90b461UL, 0x1a600000UL, 0x3d90b461UL
+   mulsd(xmm3, xmm1);
+   unpcklpd(xmm1, xmm1);
+   shll(eax, 3);
+   movdqu(xmm4, xmm0);
+   andl(edx, 63);
+   movdqu(xmm5, ExternalAddress(SC_4));    //0xa556c734UL, 0x3ec71de3UL, 0x1a01a01aUL, 0x3efa01a0UL
+   shll(edx, 5);
+   mulpd(xmm2, xmm1);
+   subsd(xmm0, xmm3);
+   subsd(xmm4, xmm3);
+   unpcklpd(xmm0, xmm0);
+   movdqu(xmm3, xmm4);
+   subsd(xmm4, xmm2);
+   mulpd(xmm5, xmm0);
+   subpd(xmm0, xmm2);
+   mulsd(xmm7, xmm4);
+   subsd(xmm3, xmm4);
+   mulpd(xmm5, xmm0);
+   mulpd(xmm0, xmm0);
+   subsd(xmm3, xmm2);
+   subsd(xmm1, xmm3);
+   subsd(xmm7, xmm2);
+   subsd(xmm1, xmm6);
+   movdqu(xmm6, ExternalAddress(SC_2));    //0x11111111UL, 0x3f811111UL, 0x55555555UL, 0x3fa55555UL
+   mulsd(xmm2, xmm4);
+   mulpd(xmm6, xmm0);
+   mulsd(xmm3, xmm4);
+   mulpd(xmm2, xmm0);
+   mulpd(xmm0, xmm0);
+   mulpd(xmm5, xmm0);
+   movdqu(xmm0, xmm3);
+   mulpd(xmm1, xmm7);
+   movdqu(xmm7, xmm4);
+   subsd(xmm5, xmm3);
+   subsd(xmm3, xmm4);
+   mulpd(xmm6, xmm2);
+   unpckhpd(xmm6, xmm6);
+   movdqu(xmm0, xmm4);
+   jmp(B1_4);
+
+   bind(L_2TAG_PACKET_7_0_1);
+   movq(r9, r10);
+   movq(r10, r8);
+   movl(r8, 0);
+   cmpq(r9, 0);
+   jcc(Assembler::notEqual, L_2TAG_PACKET_8_0_1);
+   movq(r9, r10);
+   movq(r10, r8);
+   cmpq(r9, 0);
+   jcc(Assembler::notEqual, L_2TAG_PACKET_8_0_1);
+   xorpd(xmm0, xmm0);
+   xorpd(xmm6, xmm6);
+   jmp(L_2TAG_PACKET_11_0_1);
+
+   bind(L_2TAG_PACKET_9_0_1);
+   jcc(Assembler::equal, L_2TAG_PACKET_10_0_1);
+   negl(ecx);
+   shrq(r10);
+   movq(rax, r9);
+   shrq(r9);
+   subl(edx, ecx);
+   negl(ecx);
+   shlq(rax);
+   orq(r10, rax);
+   jmp(L_2TAG_PACKET_10_0_1);
+   bind(L_2TAG_PACKET_3_0_1);
+   negl(ecx);
+   shlq(r9, 32);
+   orq(r9, r11);
+   shlq(r9);
+   movq(rdi, r9);
+   testl(r9, INT_MIN);
+   jcc(Assembler::notEqual, L_2TAG_PACKET_12_0_1);
+   shrl(r9);
+   movl(rbx, 0);
+   shrq(rdi, 3);
+   jmp(L_2TAG_PACKET_6_0_1);
+
+   bind(L_2TAG_PACKET_4_0_1);
+   shrl(r9);
+   movl(rbx, 536870912);
+   shrl(rbx);
+   shlq(r9, 32);
+   orq(r9, r11);
+   shlq(rbx, 32);
+   movl(rcx, 0);
+   movl(r11, 0);
+   subq(rcx, r8);
+   sbbq(r11, r10);
+   sbbq(rbx, r9);
+   movq(r8, rcx);
+   movq(r10, r11);
+   movq(r9, rbx);
+   movl(rbx, 32768);
+   jmp(L_2TAG_PACKET_5_0_1);
+
+   bind(L_2TAG_PACKET_12_0_1);
+   shrl(r9);
+   mov64(rbx, 0x100000000);
+   shrq(rbx);
+   movl(rcx, 0);
+   movl(r11, 0);
+   subq(rcx, r8);
+   sbbq(r11, r10);
+   sbbq(rbx, r9);
+   movq(r8, rcx);
+   movq(r10, r11);
+   movq(r9, rbx);
+   movl(rbx, 32768);
+   shrq(rdi, 3);
+   jmp(L_2TAG_PACKET_6_0_1);
+
+   bind(L_2TAG_PACKET_2_0_1);
+
+   bind(L_2TAG_PACKET_13_0_1);
+
+   bind(B1_4);
+   pop(rbx);
+ }
+
+ #endif
+
+ #ifndef _LP64
+
+ ALIGNED_(16) juint _static_const_table_cos[] =
+ {
+     0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,
+     0x00000000UL, 0x00000000UL, 0x3ff00000UL, 0x176d6d31UL, 0xbf73b92eUL,
+     0xbc29b42cUL, 0x3fb917a6UL, 0xe0000000UL, 0xbc3e2718UL, 0x00000000UL,
+     0x3ff00000UL, 0x011469fbUL, 0xbf93ad06UL, 0x3c69a60bUL, 0x3fc8f8b8UL,
+     0xc0000000UL, 0xbc626d19UL, 0x00000000UL, 0x3ff00000UL, 0x939d225aUL,
+     0xbfa60beaUL, 0x2ed59f06UL, 0x3fd29406UL, 0xa0000000UL, 0xbc75d28dUL,
+     0x00000000UL, 0x3ff00000UL, 0x866b95cfUL, 0xbfb37ca1UL, 0xa6aea963UL,
+     0x3fd87de2UL, 0xe0000000UL, 0xbc672cedUL, 0x00000000UL, 0x3ff00000UL,
+     0x73fa1279UL, 0xbfbe3a68UL, 0x3806f63bUL, 0x3fde2b5dUL, 0x20000000UL,
+     0x3c5e0d89UL, 0x00000000UL, 0x3ff00000UL, 0x5bc57974UL, 0xbfc59267UL,
+     0x39ae68c8UL, 0x3fe1c73bUL, 0x20000000UL, 0x3c8b25ddUL, 0x00000000UL,
+     0x3ff00000UL, 0x53aba2fdUL, 0xbfcd0dfeUL, 0x25091dd6UL, 0x3fe44cf3UL,
+     0x20000000UL, 0x3c68076aUL, 0x00000000UL, 0x3ff00000UL, 0x99fcef32UL,
+     0x3fca8279UL, 0x667f3bcdUL, 0x3fe6a09eUL, 0x20000000UL, 0xbc8bdd34UL,
+     0x00000000UL, 0x3fe00000UL, 0x94247758UL, 0x3fc133ccUL, 0x6b151741UL,
+     0x3fe8bc80UL, 0x20000000UL, 0xbc82c5e1UL, 0x00000000UL, 0x3fe00000UL,
+     0x9ae68c87UL, 0x3fac73b3UL, 0x290ea1a3UL, 0x3fea9b66UL, 0xe0000000UL,
+     0x3c39f630UL, 0x00000000UL, 0x3fe00000UL, 0x7f909c4eUL, 0xbf9d4a2cUL,
+     0xf180bdb1UL, 0x3fec38b2UL, 0x80000000UL, 0xbc76e0b1UL, 0x00000000UL,
+     0x3fe00000UL, 0x65455a75UL, 0xbfbe0875UL, 0xcf328d46UL, 0x3fed906bUL,
+     0x20000000UL, 0x3c7457e6UL, 0x00000000UL, 0x3fe00000UL, 0x76acf82dUL,
+     0x3fa4a031UL, 0x56c62ddaUL, 0x3fee9f41UL, 0xe0000000UL, 0x3c8760b1UL,
+     0x00000000UL, 0x3fd00000UL, 0x0e5967d5UL, 0xbfac1d1fUL, 0xcff75cb0UL,
+     0x3fef6297UL, 0x20000000UL, 0x3c756217UL, 0x00000000UL, 0x3fd00000UL,
+     0x0f592f50UL, 0xbf9ba165UL, 0xa3d12526UL, 0x3fefd88dUL, 0x40000000UL,
+     0xbc887df6UL, 0x00000000UL, 0x3fc00000UL, 0x00000000UL, 0x00000000UL,
+     0x00000000UL, 0x3ff00000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,
+     0x00000000UL, 0x0f592f50UL, 0x3f9ba165UL, 0xa3d12526UL, 0x3fefd88dUL,
+     0x40000000UL, 0xbc887df6UL, 0x00000000UL, 0xbfc00000UL, 0x0e5967d5UL,
+     0x3fac1d1fUL, 0xcff75cb0UL, 0x3fef6297UL, 0x20000000UL, 0x3c756217UL,
+     0x00000000UL, 0xbfd00000UL, 0x76acf82dUL, 0xbfa4a031UL, 0x56c62ddaUL,
+     0x3fee9f41UL, 0xe0000000UL, 0x3c8760b1UL, 0x00000000UL, 0xbfd00000UL,
+     0x65455a75UL, 0x3fbe0875UL, 0xcf328d46UL, 0x3fed906bUL, 0x20000000UL,
+     0x3c7457e6UL, 0x00000000UL, 0xbfe00000UL, 0x7f909c4eUL, 0x3f9d4a2cUL,
+     0xf180bdb1UL, 0x3fec38b2UL, 0x80000000UL, 0xbc76e0b1UL, 0x00000000UL,
+     0xbfe00000UL, 0x9ae68c87UL, 0xbfac73b3UL, 0x290ea1a3UL, 0x3fea9b66UL,
+     0xe0000000UL, 0x3c39f630UL, 0x00000000UL, 0xbfe00000UL, 0x94247758UL,
+     0xbfc133ccUL, 0x6b151741UL, 0x3fe8bc80UL, 0x20000000UL, 0xbc82c5e1UL,
+     0x00000000UL, 0xbfe00000UL, 0x99fcef32UL, 0xbfca8279UL, 0x667f3bcdUL,
+     0x3fe6a09eUL, 0x20000000UL, 0xbc8bdd34UL, 0x00000000UL, 0xbfe00000UL,
+     0x53aba2fdUL, 0x3fcd0dfeUL, 0x25091dd6UL, 0x3fe44cf3UL, 0x20000000UL,
+     0x3c68076aUL, 0x00000000UL, 0xbff00000UL, 0x5bc57974UL, 0x3fc59267UL,
+     0x39ae68c8UL, 0x3fe1c73bUL, 0x20000000UL, 0x3c8b25ddUL, 0x00000000UL,
+     0xbff00000UL, 0x73fa1279UL, 0x3fbe3a68UL, 0x3806f63bUL, 0x3fde2b5dUL,
+     0x20000000UL, 0x3c5e0d89UL, 0x00000000UL, 0xbff00000UL, 0x866b95cfUL,
+     0x3fb37ca1UL, 0xa6aea963UL, 0x3fd87de2UL, 0xe0000000UL, 0xbc672cedUL,
+     0x00000000UL, 0xbff00000UL, 0x939d225aUL, 0x3fa60beaUL, 0x2ed59f06UL,
+     0x3fd29406UL, 0xa0000000UL, 0xbc75d28dUL, 0x00000000UL, 0xbff00000UL,
+     0x011469fbUL, 0x3f93ad06UL, 0x3c69a60bUL, 0x3fc8f8b8UL, 0xc0000000UL,
+     0xbc626d19UL, 0x00000000UL, 0xbff00000UL, 0x176d6d31UL, 0x3f73b92eUL,
+     0xbc29b42cUL, 0x3fb917a6UL, 0xe0000000UL, 0xbc3e2718UL, 0x00000000UL,
+     0xbff00000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,
+     0x00000000UL, 0x00000000UL, 0x00000000UL, 0xbff00000UL, 0x176d6d31UL,
+     0x3f73b92eUL, 0xbc29b42cUL, 0xbfb917a6UL, 0xe0000000UL, 0x3c3e2718UL,
+     0x00000000UL, 0xbff00000UL, 0x011469fbUL, 0x3f93ad06UL, 0x3c69a60bUL,
+     0xbfc8f8b8UL, 0xc0000000UL, 0x3c626d19UL, 0x00000000UL, 0xbff00000UL,
+     0x939d225aUL, 0x3fa60beaUL, 0x2ed59f06UL, 0xbfd29406UL, 0xa0000000UL,
+     0x3c75d28dUL, 0x00000000UL, 0xbff00000UL, 0x866b95cfUL, 0x3fb37ca1UL,
+     0xa6aea963UL, 0xbfd87de2UL, 0xe0000000UL, 0x3c672cedUL, 0x00000000UL,
+     0xbff00000UL, 0x73fa1279UL, 0x3fbe3a68UL, 0x3806f63bUL, 0xbfde2b5dUL,
+     0x20000000UL, 0xbc5e0d89UL, 0x00000000UL, 0xbff00000UL, 0x5bc57974UL,
+     0x3fc59267UL, 0x39ae68c8UL, 0xbfe1c73bUL, 0x20000000UL, 0xbc8b25ddUL,
+     0x00000000UL, 0xbff00000UL, 0x53aba2fdUL, 0x3fcd0dfeUL, 0x25091dd6UL,
+     0xbfe44cf3UL, 0x20000000UL, 0xbc68076aUL, 0x00000000UL, 0xbff00000UL,
+     0x99fcef32UL, 0xbfca8279UL, 0x667f3bcdUL, 0xbfe6a09eUL, 0x20000000UL,
+     0x3c8bdd34UL, 0x00000000UL, 0xbfe00000UL, 0x94247758UL, 0xbfc133ccUL,
+     0x6b151741UL, 0xbfe8bc80UL, 0x20000000UL, 0x3c82c5e1UL, 0x00000000UL,
+     0xbfe00000UL, 0x9ae68c87UL, 0xbfac73b3UL, 0x290ea1a3UL, 0xbfea9b66UL,
+     0xe0000000UL, 0xbc39f630UL, 0x00000000UL, 0xbfe00000UL, 0x7f909c4eUL,
+     0x3f9d4a2cUL, 0xf180bdb1UL, 0xbfec38b2UL, 0x80000000UL, 0x3c76e0b1UL,
+     0x00000000UL, 0xbfe00000UL, 0x65455a75UL, 0x3fbe0875UL, 0xcf328d46UL,
+     0xbfed906bUL, 0x20000000UL, 0xbc7457e6UL, 0x00000000UL, 0xbfe00000UL,
+     0x76acf82dUL, 0xbfa4a031UL, 0x56c62ddaUL, 0xbfee9f41UL, 0xe0000000UL,
+     0xbc8760b1UL, 0x00000000UL, 0xbfd00000UL, 0x0e5967d5UL, 0x3fac1d1fUL,
+     0xcff75cb0UL, 0xbfef6297UL, 0x20000000UL, 0xbc756217UL, 0x00000000UL,
+     0xbfd00000UL, 0x0f592f50UL, 0x3f9ba165UL, 0xa3d12526UL, 0xbfefd88dUL,
+     0x40000000UL, 0x3c887df6UL, 0x00000000UL, 0xbfc00000UL, 0x00000000UL,
+     0x00000000UL, 0x00000000UL, 0xbff00000UL, 0x00000000UL, 0x00000000UL,
+     0x00000000UL, 0x00000000UL, 0x0f592f50UL, 0xbf9ba165UL, 0xa3d12526UL,
+     0xbfefd88dUL, 0x40000000UL, 0x3c887df6UL, 0x00000000UL, 0x3fc00000UL,
+     0x0e5967d5UL, 0xbfac1d1fUL, 0xcff75cb0UL, 0xbfef6297UL, 0x20000000UL,
+     0xbc756217UL, 0x00000000UL, 0x3fd00000UL, 0x76acf82dUL, 0x3fa4a031UL,
+     0x56c62ddaUL, 0xbfee9f41UL, 0xe0000000UL, 0xbc8760b1UL, 0x00000000UL,
+     0x3fd00000UL, 0x65455a75UL, 0xbfbe0875UL, 0xcf328d46UL, 0xbfed906bUL,
+     0x20000000UL, 0xbc7457e6UL, 0x00000000UL, 0x3fe00000UL, 0x7f909c4eUL,
+     0xbf9d4a2cUL, 0xf180bdb1UL, 0xbfec38b2UL, 0x80000000UL, 0x3c76e0b1UL,
+     0x00000000UL, 0x3fe00000UL, 0x9ae68c87UL, 0x3fac73b3UL, 0x290ea1a3UL,
+     0xbfea9b66UL, 0xe0000000UL, 0xbc39f630UL, 0x00000000UL, 0x3fe00000UL,
+     0x94247758UL, 0x3fc133ccUL, 0x6b151741UL, 0xbfe8bc80UL, 0x20000000UL,
+     0x3c82c5e1UL, 0x00000000UL, 0x3fe00000UL, 0x99fcef32UL, 0x3fca8279UL,
+     0x667f3bcdUL, 0xbfe6a09eUL, 0x20000000UL, 0x3c8bdd34UL, 0x00000000UL,
+     0x3fe00000UL, 0x53aba2fdUL, 0xbfcd0dfeUL, 0x25091dd6UL, 0xbfe44cf3UL,
+     0x20000000UL, 0xbc68076aUL, 0x00000000UL, 0x3ff00000UL, 0x5bc57974UL,
+     0xbfc59267UL, 0x39ae68c8UL, 0xbfe1c73bUL, 0x20000000UL, 0xbc8b25ddUL,
+     0x00000000UL, 0x3ff00000UL, 0x73fa1279UL, 0xbfbe3a68UL, 0x3806f63bUL,
+     0xbfde2b5dUL, 0x20000000UL, 0xbc5e0d89UL, 0x00000000UL, 0x3ff00000UL,
+     0x866b95cfUL, 0xbfb37ca1UL, 0xa6aea963UL, 0xbfd87de2UL, 0xe0000000UL,
+     0x3c672cedUL, 0x00000000UL, 0x3ff00000UL, 0x939d225aUL, 0xbfa60beaUL,
+     0x2ed59f06UL, 0xbfd29406UL, 0xa0000000UL, 0x3c75d28dUL, 0x00000000UL,
+     0x3ff00000UL, 0x011469fbUL, 0xbf93ad06UL, 0x3c69a60bUL, 0xbfc8f8b8UL,
+     0xc0000000UL, 0x3c626d19UL, 0x00000000UL, 0x3ff00000UL, 0x176d6d31UL,
+     0xbf73b92eUL, 0xbc29b42cUL, 0xbfb917a6UL, 0xe0000000UL, 0x3c3e2718UL,
+     0x00000000UL, 0x3ff00000UL, 0x55555555UL, 0xbfc55555UL, 0x00000000UL,
+     0xbfe00000UL, 0x11111111UL, 0x3f811111UL, 0x55555555UL, 0x3fa55555UL,
+     0x1a01a01aUL, 0xbf2a01a0UL, 0x16c16c17UL, 0xbf56c16cUL, 0xa556c734UL,
+     0x3ec71de3UL, 0x1a01a01aUL, 0x3efa01a0UL, 0x1a600000UL, 0x3d90b461UL,
+     0x1a600000UL, 0x3d90b461UL, 0x54400000UL, 0x3fb921fbUL, 0x00000000UL,
+     0x00000000UL, 0x2e037073UL, 0x3b63198aUL, 0x00000000UL, 0x00000000UL,
+     0x6dc9c883UL, 0x40245f30UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,
+     0x43380000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x3ff00000UL,
+     0x00000000UL, 0x00000000UL, 0x00000000UL, 0x80000000UL, 0x00000000UL,
+     0x00000000UL, 0x00000000UL, 0x80000000UL, 0x00000000UL, 0x00000000UL,
+     0x00000000UL, 0x3fe00000UL, 0x00000000UL, 0x3fe00000UL
+ };
+
+ //registers,
+ // input: (rbp + 8)
+ // scratch: xmm1, xmm2, xmm3, xmm4, xmm5, xmm6, xmm7
+ //          rax, rdx, rcx, rbx (tmp)
+
+ // Code generated by Intel C compiler for LIBM library
+
+ void MacroAssembler::fast_cos(XMMRegister xmm0, XMMRegister xmm1, XMMRegister xmm2, XMMRegister xmm3, XMMRegister xmm4, XMMRegister xmm5, XMMRegister xmm6, XMMRegister xmm7, Register eax, Register ecx, Register edx, Register tmp) {
+   Label L_2TAG_PACKET_0_0_2, L_2TAG_PACKET_1_0_2, L_2TAG_PACKET_2_0_2, L_2TAG_PACKET_3_0_2;
+   Label L_2TAG_PACKET_4_0_2, L_2TAG_PACKET_5_0_2, L_2TAG_PACKET_6_0_2, L_2TAG_PACKET_7_0_2;
+   Label L_2TAG_PACKET_8_0_2, L_2TAG_PACKET_9_0_2, L_2TAG_PACKET_10_0_2, L_2TAG_PACKET_11_0_2;
+   Label L_2TAG_PACKET_12_0_2, L_2TAG_PACKET_13_0_2, B1_3, B1_5, start;
+
+   assert_different_registers(tmp, eax, ecx, edx);
+
+
+   bind(start);
+   subl(rsp, 120);
+   pextrw(eax, xmm0, 3);
+   andl(eax, 32767);
+   subl(eax, 12336);
+   cmpl(eax, 4293);
+   jcc(Assembler::above, L_2TAG_PACKET_0_0_2);
+   mulsd(xmm1, xmm0);
+   pand(xmm4, xmm0);
+   por(xmm5, xmm4);
+   cvttsd2sil(edx, xmm1);
+   cvtsi2sdl(xmm1, edx);
+   mulsd(xmm3, xmm1);
+   unpcklpd(xmm1, xmm1);
+   movdqu(xmm4, xmm0);
+   andl(edx, 63);
+   shll(edx, 5);
+   mulpd(xmm2, xmm1);
+   subsd(xmm0, xmm3);
+   subsd(xmm4, xmm3);
+   unpcklpd(xmm0, xmm0);
+   movapd(xmm3, xmm4);
+   subsd(xmm4, xmm2);
+   mulpd(xmm5, xmm0);
+   subpd(xmm0, xmm2);
+   mulsd(xmm7, xmm4);
+   subsd(xmm3, xmm4);
+   mulpd(xmm5, xmm0);
+   mulpd(xmm0, xmm0);
+   subsd(xmm3, xmm2);
+   subsd(xmm1, xmm3);
+   subsd(xmm7, xmm2);
+   mulsd(xmm2, xmm4);
+   mulpd(xmm6, xmm0);
+   mulsd(xmm3, xmm4);
+   mulpd(xmm2, xmm0);
+   mulpd(xmm0, xmm0);
+   mulpd(xmm5, xmm0);
+   movapd(xmm0, xmm3);
+   mulpd(xmm1, xmm7);
+   movapd(xmm7, xmm4);
+   subsd(xmm5, xmm3);
+   subsd(xmm3, xmm4);
+   mulpd(xmm6, xmm2);
+   unpckhpd(xmm6, xmm6);
+   jmp(L_2TAG_PACKET_1_0_2);
+
+   bind(L_2TAG_PACKET_0_0_2);
+   jcc(Assembler::greater, L_2TAG_PACKET_2_0_2);
+   pextrw(eax, xmm0, 3);
+   andl(eax, 32767);
+   pinsrw(xmm0, eax, 3);
+   subsd(xmm1, xmm0);
+   jmp(L_2TAG_PACKET_1_0_2);
+
+   bind(L_2TAG_PACKET_2_0_2);
+   andl(eax, 2146435072);
+   cmpl(eax, 2146435072);
+   jcc(Assembler::equal, L_2TAG_PACKET_3_0_2);
+   subl(rsp, 32);
+   movl(eax, 1);