/*

* Copyright (c) 2016, Intel Corporation.

* Intel Math Library (LIBM) Source Code

*

* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.

*

* This code is free software; you can redistribute it and/or modify it

* under the terms of the GNU General Public License version 2 only, as

* published by the Free Software Foundation.

*

* This code is distributed in the hope that it will be useful, but WITHOUT

* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or

* FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License

* version 2 for more details (a copy is included in the LICENSE file that

* accompanied this code).

*

* You should have received a copy of the GNU General Public License version

* 2 along with this work; if not, write to the Free Software Foundation,

* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.

*

* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA

* or visit www.oracle.com if you need additional information or have any

* questions.

*

*/

#include "precompiled.hpp"

#include "asm/assembler.hpp"

#include "asm/assembler.inline.hpp"

#include "runtime/stubRoutines.hpp"

/******************************************************************************/

//                     ALGORITHM DESCRIPTION - TAN()

//                     ---------------------

//

// Polynomials coefficients and other constants.

//

// Note that in this algorithm, there is a different polynomial for

// each breakpoint, so there are 32 sets of polynomial coefficients

// as well as 32 instances of the other constants.

//

// The polynomial coefficients and constants are offset from the start

// of the main block as follows:

//

//   0:  c8 | c0

//  16:  c9 | c1

//  32: c10 | c2

//  48: c11 | c3

//  64: c12 | c4

//  80: c13 | c5

//  96: c14 | c6

// 112: c15 | c7

// 128: T_hi

// 136: T_lo

// 144: Sigma

// 152: T_hl

// 160: Tau

// 168: Mask

// 176: (end of block)

//

// The total table size is therefore 5632 bytes.

//

// Note that c0 and c1 are always zero. We could try storing

// other constants here, and just loading the low part of the

// SIMD register in these cases, after ensuring the high part

// is zero.

//

// The higher terms of the polynomial are computed in the *low*

// part of the SIMD register. This is so we can overlap the

// multiplication by r^8 and the unpacking of the other part.

//

// The constants are:

// T_hi + T_lo = accurate constant term in power series

// Sigma + T_hl = accurate coefficient of r in power series (Sigma=1 bit)

// Tau = multiplier for the reciprocal, always -1 or 0

//

// The basic reconstruction formula using these constants is:

//

// High = tau * recip_hi + t_hi

// Med = (sgn * r + t_hl * r)_hi

// Low = (sgn * r + t_hl * r)_lo +

//       tau * recip_lo + T_lo + (T_hl + sigma) * c + pol

//

// where pol = c0 + c1 * r + c2 * r^2 + ... + c15 * r^15

//

// (c0 = c1 = 0, but using them keeps SIMD regularity)

//

// We then do a compensated sum High + Med, add the low parts together

// and then do the final sum.

//

// Here recip_hi + recip_lo is an accurate reciprocal of the remainder

// modulo pi/2

//

// Special cases:

//  tan(NaN) = quiet NaN, and raise invalid exception

//  tan(INF) = NaN and raise invalid exception

//  tan(+/-0) = +/-0

//

/******************************************************************************/

#ifdef _LP64

// The 64 bit code is at most SSE2 compliant

{

    0x00000000UL, 0x3fe00000UL, 0x00000000UL, 0x3fe00000UL

};

{

    0x00000000UL, 0x40300000UL, 0x00000000UL, 0x3ff00000UL

};

{

    0x00000000UL, 0x80000000UL, 0x00000000UL, 0x80000000UL

};

{

    0x6dc9c883UL, 0x3fe45f30UL, 0x6dc9c883UL, 0x40245f30UL

};

{

    0x54444000UL, 0x3fb921fbUL, 0x54440000UL, 0x3fb921fbUL

};

{

    0x67674000UL, 0xbd32e7b9UL, 0x4c4c0000UL, 0x3d468c23UL

};

{

    0x3707344aUL, 0x3aa8a2e0UL, 0x03707345UL, 0x3ae98a2eUL

};

{

    0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x882c10faUL,

    0x3f9664f4UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,

    0x00000000UL, 0x00000000UL, 0x55e6c23dUL, 0x3f8226e3UL, 0x55555555UL,

    0x3fd55555UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,

    0x0e157de0UL, 0x3f6d6d3dUL, 0x11111111UL, 0x3fc11111UL, 0x00000000UL,

    0x00000000UL, 0x00000000UL, 0x00000000UL, 0x452b75e3UL, 0x3f57da36UL,

    0x1ba1ba1cUL, 0x3faba1baUL, 0x00000000UL, 0x00000000UL, 0x00000000UL,

    0x00000000UL, 0x00000000UL, 0x3ff00000UL, 0x00000000UL, 0x00000000UL,

    0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x4e435f9bUL,

    0x3f953f83UL, 0x00000000UL, 0x00000000UL, 0x3c6e8e46UL, 0x3f9b74eaUL,

    0x00000000UL, 0x00000000UL, 0xda5b7511UL, 0x3f85ad63UL, 0xdc230b9bUL,

    0x3fb97558UL, 0x26cb3788UL, 0x3f881308UL, 0x76fc4985UL, 0x3fd62ac9UL,

    0x77bb08baUL, 0x3f757c85UL, 0xb6247521UL, 0x3fb1381eUL, 0x5922170cUL,

    0x3f754e95UL, 0x8746482dUL, 0x3fc27f83UL, 0x11055b30UL, 0x3f64e391UL,

    0x3e666320UL, 0x3fa3e609UL, 0x0de9dae3UL, 0x3f6301dfUL, 0x1f1dca06UL,

    0x3fafa8aeUL, 0x8c5b2da2UL, 0x3fb936bbUL, 0x4e88f7a5UL, 0x3c587d05UL,

    0x00000000UL, 0x3ff00000UL, 0xa8935dd9UL, 0x3f83dde2UL, 0x00000000UL,

    0x00000000UL, 0x00000000UL, 0x00000000UL, 0x5a279ea3UL, 0x3faa3407UL,

    0x00000000UL, 0x00000000UL, 0x432d65faUL, 0x3fa70153UL, 0x00000000UL,

    0x00000000UL, 0x891a4602UL, 0x3f9d03efUL, 0xd62ca5f8UL, 0x3fca77d9UL,

    0xb35f4628UL, 0x3f97a265UL, 0x433258faUL, 0x3fd8cf51UL, 0xb58fd909UL,

    0x3f8f88e3UL, 0x01771ceaUL, 0x3fc2b154UL, 0xf3562f8eUL, 0x3f888f57UL,

    0xc028a723UL, 0x3fc7370fUL, 0x20b7f9f0UL, 0x3f80f44cUL, 0x214368e9UL,

    0x3fb6dfaaUL, 0x28891863UL, 0x3f79b4b6UL, 0x172dbbf0UL, 0x3fb6cb8eUL,

    0xe0553158UL, 0x3fc975f5UL, 0x593fe814UL, 0x3c2ef5d3UL, 0x00000000UL,

    0x3ff00000UL, 0x03dec550UL, 0x3fa44203UL, 0x00000000UL, 0x00000000UL,

    0x00000000UL, 0x00000000UL, 0x9314533eUL, 0x3fbb8ec5UL, 0x00000000UL,

    0x00000000UL, 0x09aa36d0UL, 0x3fb6d3f4UL, 0x00000000UL, 0x00000000UL,

    0xdcb427fdUL, 0x3fb13950UL, 0xd87ab0bbUL, 0x3fd5335eUL, 0xce0ae8a5UL,

    0x3fabb382UL, 0x79143126UL, 0x3fddba41UL, 0x5f2b28d4UL, 0x3fa552f1UL,

    0x59f21a6dUL, 0x3fd015abUL, 0x22c27d95UL, 0x3fa0e984UL, 0xe19fc6aaUL,

    0x3fd0576cUL, 0x8f2c2950UL, 0x3f9a4898UL, 0xc0b3f22cUL, 0x3fc59462UL,

    0x1883a4b8UL, 0x3f94b61cUL, 0x3f838640UL, 0x3fc30eb8UL, 0x355c63dcUL,

    0x3fd36a08UL, 0x1dce993dUL, 0xbc6d704dUL, 0x00000000UL, 0x3ff00000UL,

    0x2b82ab63UL, 0x3fb78e92UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,

    0x00000000UL, 0x56f37042UL, 0x3fccfc56UL, 0x00000000UL, 0x00000000UL,

    0xaa563951UL, 0x3fc90125UL, 0x00000000UL, 0x00000000UL, 0x3d0e7c5dUL,

    0x3fc50533UL, 0x9bed9b2eUL, 0x3fdf0ed9UL, 0x5fe7c47cUL, 0x3fc1f250UL,

    0x96c125e5UL, 0x3fe2edd9UL, 0x5a02bbd8UL, 0x3fbe5c71UL, 0x86362c20UL,

    0x3fda08b7UL, 0x4b4435edUL, 0x3fb9d342UL, 0x4b494091UL, 0x3fd911bdUL,

    0xb56658beUL, 0x3fb5e4c7UL, 0x93a2fd76UL, 0x3fd3c092UL, 0xda271794UL,

    0x3fb29910UL, 0x3303df2bUL, 0x3fd189beUL, 0x99fcef32UL, 0x3fda8279UL,

    0xb68c1467UL, 0x3c708b2fUL, 0x00000000UL, 0x3ff00000UL, 0x980c4337UL,

    0x3fc5f619UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,

    0xcc03e501UL, 0x3fdff10fUL, 0x00000000UL, 0x00000000UL, 0x44a4e845UL,

    0x3fddb63bUL, 0x00000000UL, 0x00000000UL, 0x3768ad9fUL, 0x3fdb72a4UL,

    0x3dd01ccaUL, 0x3fe5fdb9UL, 0xa61d2811UL, 0x3fd972b2UL, 0x5645ad0bUL,

    0x3fe977f9UL, 0xd013b3abUL, 0x3fd78ca3UL, 0xbf0bf914UL, 0x3fe4f192UL,

    0x4d53e730UL, 0x3fd5d060UL, 0x3f8b9000UL, 0x3fe49933UL, 0xe2b82f08UL,

    0x3fd4322aUL, 0x5936a835UL, 0x3fe27ae1UL, 0xb1c61c9bUL, 0x3fd2b3fbUL,

    0xef478605UL, 0x3fe1659eUL, 0x190834ecUL, 0x3fe11ab7UL, 0xcdb625eaUL,

    0xbc8e564bUL, 0x00000000UL, 0x3ff00000UL, 0xb07217e3UL, 0x3fd248f1UL,

    0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x2b2c49d0UL,

    0x3ff2de9cUL, 0x00000000UL, 0x00000000UL, 0x2655bc98UL, 0x3ff33e58UL,

    0x00000000UL, 0x00000000UL, 0xff691fa2UL, 0x3ff3972eUL, 0xe93463bdUL,

    0x3feeed87UL, 0x070e10a0UL, 0x3ff3f5b2UL, 0xf4d790a4UL, 0x3ff20c10UL,

    0xa04e8ea3UL, 0x3ff4541aUL, 0x386accd3UL, 0x3ff1369eUL, 0x222a66ddUL,

    0x3ff4b521UL, 0x22a9777eUL, 0x3ff20817UL, 0x52a04a6eUL, 0x3ff5178fUL,

    0xddaa0031UL, 0x3ff22137UL, 0x4447d47cUL, 0x3ff57c01UL, 0x1e9c7f1dUL,

    0x3ff29311UL, 0x2ab7f990UL, 0x3fe561b8UL, 0x209c7df1UL, 0x3c87a8c5UL,

    0x00000000UL, 0x3ff00000UL, 0x4170bcc6UL, 0x3fdc92d8UL, 0x00000000UL,

    0x00000000UL, 0x00000000UL, 0x00000000UL, 0xc7ab4d5aUL, 0x40085e24UL,

    0x00000000UL, 0x00000000UL, 0xe93ea75dUL, 0x400b963dUL, 0x00000000UL,

    0x00000000UL, 0x94a7f25aUL, 0x400f37e2UL, 0x4b6261cbUL, 0x3ff5f984UL,

    0x5a9dd812UL, 0x4011aab0UL, 0x74c30018UL, 0x3ffaf5a5UL, 0x7f2ce8e3UL,

    0x4013fe8bUL, 0xfe8e54faUL, 0x3ffd7334UL, 0x670d618dUL, 0x4016a10cUL,

    0x4db97058UL, 0x4000e012UL, 0x24df44ddUL, 0x40199c5fUL, 0x697d6eceUL,

    0x4003006eUL, 0x83298b82UL, 0x401cfc4dUL, 0x19d490d6UL, 0x40058c19UL,

    0x2ae42850UL, 0x3fea4300UL, 0x118e20e6UL, 0xbc7a6db8UL, 0x00000000UL,

    0x40000000UL, 0xe33345b8UL, 0xbfd4e526UL, 0x00000000UL, 0x00000000UL,

    0x00000000UL, 0x00000000UL, 0x65965966UL, 0x40219659UL, 0x00000000UL,

    0x00000000UL, 0x882c10faUL, 0x402664f4UL, 0x00000000UL, 0x00000000UL,

    0x83cd3723UL, 0x402c8342UL, 0x00000000UL, 0x40000000UL, 0x55e6c23dUL,

    0x403226e3UL, 0x55555555UL, 0x40055555UL, 0x34451939UL, 0x40371c96UL,

    0xaaaaaaabUL, 0x400aaaaaUL, 0x0e157de0UL, 0x403d6d3dUL, 0x11111111UL,

    0x40111111UL, 0xa738201fUL, 0x4042bbceUL, 0x05b05b06UL, 0x4015b05bUL,

    0x452b75e3UL, 0x4047da36UL, 0x1ba1ba1cUL, 0x401ba1baUL, 0x00000000UL,

    0x3ff00000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x40000000UL,

    0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,

    0x00000000UL, 0x4f48b8d3UL, 0xbf33eaf9UL, 0x00000000UL, 0x00000000UL,

    0x0cf7586fUL, 0x3f20b8eaUL, 0x00000000UL, 0x00000000UL, 0xd0258911UL,

    0xbf0abaf3UL, 0x23e49fe9UL, 0xbfab5a8cUL, 0x2d53222eUL, 0x3ef60d15UL,

    0x21169451UL, 0x3fa172b2UL, 0xbb254dbcUL, 0xbee1d3b5UL, 0xdbf93b8eUL,

    0xbf84c7dbUL, 0x05b4630bUL, 0x3ecd3364UL, 0xee9aada7UL, 0x3f743924UL,

    0x794a8297UL, 0xbeb7b7b9UL, 0xe015f797UL, 0xbf5d41f5UL, 0xe41a4a56UL,

    0x3ea35dfbUL, 0xe4c2a251UL, 0x3f49a2abUL, 0x5af9e000UL, 0xbfce49ceUL,

    0x8c743719UL, 0x3d1eb860UL, 0x00000000UL, 0x00000000UL, 0x1b4863cfUL,

    0x3fd78294UL, 0x00000000UL, 0x3ff00000UL, 0x00000000UL, 0xfffffff8UL,

    0x535ad890UL, 0xbf2b9320UL, 0x00000000UL, 0x00000000UL, 0x018fdf1fUL,

    0x3f16d61dUL, 0x00000000UL, 0x00000000UL, 0x0359f1beUL, 0xbf0139e4UL,

    0xa4317c6dUL, 0xbfa67e17UL, 0x82672d0fUL, 0x3eebb405UL, 0x2f1b621eUL,

    0x3f9f455bUL, 0x51ccf238UL, 0xbed55317UL, 0xf437b9acUL, 0xbf804beeUL,

    0xc791a2b5UL, 0x3ec0e993UL, 0x919a1db2UL, 0x3f7080c2UL, 0x336a5b0eUL,

    0xbeaa48a2UL, 0x0a268358UL, 0xbf55a443UL, 0xdfd978e4UL, 0x3e94b61fUL,

    0xd7767a58UL, 0x3f431806UL, 0x2aea0000UL, 0xbfc9bbe8UL, 0x7723ea61UL,

    0xbd3a2369UL, 0x00000000UL, 0x00000000UL, 0xdf7796ffUL, 0x3fd6e642UL,

    0x00000000UL, 0x3ff00000UL, 0x00000000UL, 0xfffffff8UL, 0xb9ff07ceUL,

    0xbf231c78UL, 0x00000000UL, 0x00000000UL, 0xa5517182UL, 0x3f0ff0e0UL,

    0x00000000UL, 0x00000000UL, 0x790b4cbcUL, 0xbef66191UL, 0x848a46c6UL,

    0xbfa21ac0UL, 0xb16435faUL, 0x3ee1d3ecUL, 0x2a1aa832UL, 0x3f9c71eaUL,

    0xfdd299efUL, 0xbec9dd1aUL, 0x3f8dbaafUL, 0xbf793363UL, 0x309fc6eaUL,

    0x3eb415d6UL, 0xbee60471UL, 0x3f6b83baUL, 0x94a0a697UL, 0xbe9dae11UL,

    0x3e5c67b3UL, 0xbf4fd07bUL, 0x9a8f3e3eUL, 0x3e86bd75UL, 0xa4beb7a4UL,

    0x3f3d1eb1UL, 0x29cfc000UL, 0xbfc549ceUL, 0xbf159358UL, 0xbd397b33UL,

    0x00000000UL, 0x00000000UL, 0x871fee6cUL, 0x3fd666f0UL, 0x00000000UL,

    0x3ff00000UL, 0x00000000UL, 0xfffffff8UL, 0x7d98a556UL, 0xbf1a3958UL,

    0x00000000UL, 0x00000000UL, 0x9d88dc01UL, 0x3f0704c2UL, 0x00000000UL,

    0x00000000UL, 0x73742a2bUL, 0xbeed054aUL, 0x58844587UL, 0xbf9c2a13UL,

    0x55688a79UL, 0x3ed7a326UL, 0xee33f1d6UL, 0x3f9a48f4UL, 0xa8dc9888UL,

    0xbebf8939UL, 0xaad4b5b8UL, 0xbf72f746UL, 0x9102efa1UL, 0x3ea88f82UL,

    0xdabc29cfUL, 0x3f678228UL, 0x9289afb8UL, 0xbe90f456UL, 0x741fb4edUL,

    0xbf46f3a3UL, 0xa97f6663UL, 0x3e79b4bfUL, 0xca89ff3fUL, 0x3f36db70UL,

    0xa8a2a000UL, 0xbfc0ee13UL, 0x3da24be1UL, 0xbd338b9fUL, 0x00000000UL,

    0x00000000UL, 0x11cd6c69UL, 0x3fd601fdUL, 0x00000000UL, 0x3ff00000UL,

    0x00000000UL, 0xfffffff8UL, 0x1a154b97UL, 0xbf116b01UL, 0x00000000UL,

    0x00000000UL, 0x2d427630UL, 0x3f0147bfUL, 0x00000000UL, 0x00000000UL,

    0xb93820c8UL, 0xbee264d4UL, 0xbb6cbb18UL, 0xbf94ab8cUL, 0x888d4d92UL,

    0x3ed0568bUL, 0x60730f7cUL, 0x3f98b19bUL, 0xe4b1fb11UL, 0xbeb2f950UL,

    0x22cf9f74UL, 0xbf6b21cdUL, 0x4a3ff0a6UL, 0x3e9f499eUL, 0xfd2b83ceUL,

    0x3f64aad7UL, 0x637b73afUL, 0xbe83487cUL, 0xe522591aUL, 0xbf3fc092UL,

    0xa158e8bcUL, 0x3e6e3aaeUL, 0xe5e82ffaUL, 0x3f329d2fUL, 0xd636a000UL,

    0xbfb9477fUL, 0xc2c2d2bcUL, 0xbd135ef9UL, 0x00000000UL, 0x00000000UL,

    0xf2fdb123UL, 0x3fd5b566UL, 0x00000000UL, 0x3ff00000UL, 0x00000000UL,

    0xfffffff8UL, 0xc41acb64UL, 0xbf05448dUL, 0x00000000UL, 0x00000000UL,

    0xdbb03d6fUL, 0x3efb7ad2UL, 0x00000000UL, 0x00000000UL, 0x9e42962dUL,

    0xbed5aea5UL, 0x2579f8efUL, 0xbf8b2398UL, 0x288a1ed9UL, 0x3ec81441UL,

    0xb0198dc5UL, 0x3f979a3aUL, 0x2fdfe253UL, 0xbea57cd3UL, 0x5766336fUL,

    0xbf617caaUL, 0x600944c3UL, 0x3e954ed6UL, 0xa4e0aaf8UL, 0x3f62c646UL,

    0x6b8fb29cUL, 0xbe74e3a3UL, 0xdc4c0409UL, 0xbf33f952UL, 0x9bffe365UL,

    0x3e6301ecUL, 0xb8869e44UL, 0x3f2fc566UL, 0xe1e04000UL, 0xbfb0cc62UL,

    0x016b907fUL, 0xbd119cbcUL, 0x00000000UL, 0x00000000UL, 0xe6b9d8faUL,

    0x3fd57fb3UL, 0x00000000UL, 0x3ff00000UL, 0x00000000UL, 0xfffffff8UL,

    0x5daf22a6UL, 0xbef429d7UL, 0x00000000UL, 0x00000000UL, 0x06bca545UL,

    0x3ef7a27dUL, 0x00000000UL, 0x00000000UL, 0x7211c19aUL, 0xbec41c3eUL,

    0x956ed53eUL, 0xbf7ae3f4UL, 0xee750e72UL, 0x3ec3901bUL, 0x91d443f5UL,

    0x3f96f713UL, 0x36661e6cUL, 0xbe936e09UL, 0x506f9381UL, 0xbf5122e8UL,

    0xcb6dd43fUL, 0x3e9041b9UL, 0x6698b2ffUL, 0x3f61b0c7UL, 0x576bf12bUL,

    0xbe625a8aUL, 0xe5a0e9dcUL, 0xbf23499dUL, 0x110384ddUL, 0x3e5b1c2cUL,

    0x68d43db6UL, 0x3f2cb899UL, 0x6ecac000UL, 0xbfa0c414UL, 0xcd7dd58cUL,

    0x3d13500fUL, 0x00000000UL, 0x00000000UL, 0x85a2c8fbUL, 0x3fd55fe0UL,

    0x00000000UL, 0x3ff00000UL, 0x00000000UL, 0xfffffff8UL, 0x00000000UL,

    0x00000000UL, 0x00000000UL, 0x00000000UL, 0x2bf70ebeUL, 0x3ef66a8fUL,

    0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,

    0x00000000UL, 0xd644267fUL, 0x3ec22805UL, 0x16c16c17UL, 0x3f96c16cUL,

    0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0xc4e09162UL,

    0x3e8d6db2UL, 0xbc011567UL, 0x3f61566aUL, 0x00000000UL, 0x00000000UL,

    0x00000000UL, 0x00000000UL, 0x1f79955cUL, 0x3e57da4eUL, 0x9334ef0bUL,

    0x3f2bbd77UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,

    0x00000000UL, 0x00000000UL, 0x55555555UL, 0x3fd55555UL, 0x00000000UL,

    0x3ff00000UL, 0x00000000UL, 0xfffffff8UL, 0x5daf22a6UL, 0x3ef429d7UL,

    0x00000000UL, 0x00000000UL, 0x06bca545UL, 0x3ef7a27dUL, 0x00000000UL,

    0x00000000UL, 0x7211c19aUL, 0x3ec41c3eUL, 0x956ed53eUL, 0x3f7ae3f4UL,

    0xee750e72UL, 0x3ec3901bUL, 0x91d443f5UL, 0x3f96f713UL, 0x36661e6cUL,

    0x3e936e09UL, 0x506f9381UL, 0x3f5122e8UL, 0xcb6dd43fUL, 0x3e9041b9UL,

    0x6698b2ffUL, 0x3f61b0c7UL, 0x576bf12bUL, 0x3e625a8aUL, 0xe5a0e9dcUL,

    0x3f23499dUL, 0x110384ddUL, 0x3e5b1c2cUL, 0x68d43db6UL, 0x3f2cb899UL,

    0x6ecac000UL, 0x3fa0c414UL, 0xcd7dd58cUL, 0xbd13500fUL, 0x00000000UL,

    0x00000000UL, 0x85a2c8fbUL, 0x3fd55fe0UL, 0x00000000UL, 0x3ff00000UL,

    0x00000000UL, 0xfffffff8UL, 0xc41acb64UL, 0x3f05448dUL, 0x00000000UL,

    0x00000000UL, 0xdbb03d6fUL, 0x3efb7ad2UL, 0x00000000UL, 0x00000000UL,

    0x9e42962dUL, 0x3ed5aea5UL, 0x2579f8efUL, 0x3f8b2398UL, 0x288a1ed9UL,

    0x3ec81441UL, 0xb0198dc5UL, 0x3f979a3aUL, 0x2fdfe253UL, 0x3ea57cd3UL,

    0x5766336fUL, 0x3f617caaUL, 0x600944c3UL, 0x3e954ed6UL, 0xa4e0aaf8UL,

    0x3f62c646UL, 0x6b8fb29cUL, 0x3e74e3a3UL, 0xdc4c0409UL, 0x3f33f952UL,

    0x9bffe365UL, 0x3e6301ecUL, 0xb8869e44UL, 0x3f2fc566UL, 0xe1e04000UL,

    0x3fb0cc62UL, 0x016b907fUL, 0x3d119cbcUL, 0x00000000UL, 0x00000000UL,

    0xe6b9d8faUL, 0x3fd57fb3UL, 0x00000000UL, 0x3ff00000UL, 0x00000000UL,

    0xfffffff8UL, 0x1a154b97UL, 0x3f116b01UL, 0x00000000UL, 0x00000000UL,

    0x2d427630UL, 0x3f0147bfUL, 0x00000000UL, 0x00000000UL, 0xb93820c8UL,

    0x3ee264d4UL, 0xbb6cbb18UL, 0x3f94ab8cUL, 0x888d4d92UL, 0x3ed0568bUL,

    0x60730f7cUL, 0x3f98b19bUL, 0xe4b1fb11UL, 0x3eb2f950UL, 0x22cf9f74UL,

    0x3f6b21cdUL, 0x4a3ff0a6UL, 0x3e9f499eUL, 0xfd2b83ceUL, 0x3f64aad7UL,

    0x637b73afUL, 0x3e83487cUL, 0xe522591aUL, 0x3f3fc092UL, 0xa158e8bcUL,

    0x3e6e3aaeUL, 0xe5e82ffaUL, 0x3f329d2fUL, 0xd636a000UL, 0x3fb9477fUL,

    0xc2c2d2bcUL, 0x3d135ef9UL, 0x00000000UL, 0x00000000UL, 0xf2fdb123UL,

    0x3fd5b566UL, 0x00000000UL, 0x3ff00000UL, 0x00000000UL, 0xfffffff8UL,

    0x7d98a556UL, 0x3f1a3958UL, 0x00000000UL, 0x00000000UL, 0x9d88dc01UL,

    0x3f0704c2UL, 0x00000000UL, 0x00000000UL, 0x73742a2bUL, 0x3eed054aUL,

    0x58844587UL, 0x3f9c2a13UL, 0x55688a79UL, 0x3ed7a326UL, 0xee33f1d6UL,

    0x3f9a48f4UL, 0xa8dc9888UL, 0x3ebf8939UL, 0xaad4b5b8UL, 0x3f72f746UL,

    0x9102efa1UL, 0x3ea88f82UL, 0xdabc29cfUL, 0x3f678228UL, 0x9289afb8UL,

    0x3e90f456UL, 0x741fb4edUL, 0x3f46f3a3UL, 0xa97f6663UL, 0x3e79b4bfUL,

    0xca89ff3fUL, 0x3f36db70UL, 0xa8a2a000UL, 0x3fc0ee13UL, 0x3da24be1UL,

    0x3d338b9fUL, 0x00000000UL, 0x00000000UL, 0x11cd6c69UL, 0x3fd601fdUL,

    0x00000000UL, 0x3ff00000UL, 0x00000000UL, 0xfffffff8UL, 0xb9ff07ceUL,

    0x3f231c78UL, 0x00000000UL, 0x00000000UL, 0xa5517182UL, 0x3f0ff0e0UL,

    0x00000000UL, 0x00000000UL, 0x790b4cbcUL, 0x3ef66191UL, 0x848a46c6UL,

    0x3fa21ac0UL, 0xb16435faUL, 0x3ee1d3ecUL, 0x2a1aa832UL, 0x3f9c71eaUL,

    0xfdd299efUL, 0x3ec9dd1aUL, 0x3f8dbaafUL, 0x3f793363UL, 0x309fc6eaUL,

    0x3eb415d6UL, 0xbee60471UL, 0x3f6b83baUL, 0x94a0a697UL, 0x3e9dae11UL,

    0x3e5c67b3UL, 0x3f4fd07bUL, 0x9a8f3e3eUL, 0x3e86bd75UL, 0xa4beb7a4UL,

    0x3f3d1eb1UL, 0x29cfc000UL, 0x3fc549ceUL, 0xbf159358UL, 0x3d397b33UL,

    0x00000000UL, 0x00000000UL, 0x871fee6cUL, 0x3fd666f0UL, 0x00000000UL,

    0x3ff00000UL, 0x00000000UL, 0xfffffff8UL, 0x535ad890UL, 0x3f2b9320UL,

    0x00000000UL, 0x00000000UL, 0x018fdf1fUL, 0x3f16d61dUL, 0x00000000UL,

    0x00000000UL, 0x0359f1beUL, 0x3f0139e4UL, 0xa4317c6dUL, 0x3fa67e17UL,

    0x82672d0fUL, 0x3eebb405UL, 0x2f1b621eUL, 0x3f9f455bUL, 0x51ccf238UL,

    0x3ed55317UL, 0xf437b9acUL, 0x3f804beeUL, 0xc791a2b5UL, 0x3ec0e993UL,

    0x919a1db2UL, 0x3f7080c2UL, 0x336a5b0eUL, 0x3eaa48a2UL, 0x0a268358UL,

    0x3f55a443UL, 0xdfd978e4UL, 0x3e94b61fUL, 0xd7767a58UL, 0x3f431806UL,

    0x2aea0000UL, 0x3fc9bbe8UL, 0x7723ea61UL, 0x3d3a2369UL, 0x00000000UL,

    0x00000000UL, 0xdf7796ffUL, 0x3fd6e642UL, 0x00000000UL, 0x3ff00000UL,

    0x00000000UL, 0xfffffff8UL, 0x4f48b8d3UL, 0x3f33eaf9UL, 0x00000000UL,

    0x00000000UL, 0x0cf7586fUL, 0x3f20b8eaUL, 0x00000000UL, 0x00000000UL,

    0xd0258911UL, 0x3f0abaf3UL, 0x23e49fe9UL, 0x3fab5a8cUL, 0x2d53222eUL,

    0x3ef60d15UL, 0x21169451UL, 0x3fa172b2UL, 0xbb254dbcUL, 0x3ee1d3b5UL,

    0xdbf93b8eUL, 0x3f84c7dbUL, 0x05b4630bUL, 0x3ecd3364UL, 0xee9aada7UL,

    0x3f743924UL, 0x794a8297UL, 0x3eb7b7b9UL, 0xe015f797UL, 0x3f5d41f5UL,

    0xe41a4a56UL, 0x3ea35dfbUL, 0xe4c2a251UL, 0x3f49a2abUL, 0x5af9e000UL,

    0x3fce49ceUL, 0x8c743719UL, 0xbd1eb860UL, 0x00000000UL, 0x00000000UL,

    0x1b4863cfUL, 0x3fd78294UL, 0x00000000UL, 0x3ff00000UL, 0x00000000UL,

    0xfffffff8UL, 0x65965966UL, 0xc0219659UL, 0x00000000UL, 0x00000000UL,

    0x882c10faUL, 0x402664f4UL, 0x00000000UL, 0x00000000UL, 0x83cd3723UL,

    0xc02c8342UL, 0x00000000UL, 0xc0000000UL, 0x55e6c23dUL, 0x403226e3UL,

    0x55555555UL, 0x40055555UL, 0x34451939UL, 0xc0371c96UL, 0xaaaaaaabUL,

    0xc00aaaaaUL, 0x0e157de0UL, 0x403d6d3dUL, 0x11111111UL, 0x40111111UL,

    0xa738201fUL, 0xc042bbceUL, 0x05b05b06UL, 0xc015b05bUL, 0x452b75e3UL,

    0x4047da36UL, 0x1ba1ba1cUL, 0x401ba1baUL, 0x00000000UL, 0xbff00000UL,

    0x00000000UL, 0x00000000UL, 0x00000000UL, 0x40000000UL, 0x00000000UL,

    0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,

    0xc7ab4d5aUL, 0xc0085e24UL, 0x00000000UL, 0x00000000UL, 0xe93ea75dUL,

    0x400b963dUL, 0x00000000UL, 0x00000000UL, 0x94a7f25aUL, 0xc00f37e2UL,

    0x4b6261cbUL, 0xbff5f984UL, 0x5a9dd812UL, 0x4011aab0UL, 0x74c30018UL,

    0x3ffaf5a5UL, 0x7f2ce8e3UL, 0xc013fe8bUL, 0xfe8e54faUL, 0xbffd7334UL,

    0x670d618dUL, 0x4016a10cUL, 0x4db97058UL, 0x4000e012UL, 0x24df44ddUL,

    0xc0199c5fUL, 0x697d6eceUL, 0xc003006eUL, 0x83298b82UL, 0x401cfc4dUL,

    0x19d490d6UL, 0x40058c19UL, 0x2ae42850UL, 0xbfea4300UL, 0x118e20e6UL,

    0x3c7a6db8UL, 0x00000000UL, 0x40000000UL, 0xe33345b8UL, 0xbfd4e526UL,

    0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x2b2c49d0UL,

    0xbff2de9cUL, 0x00000000UL, 0x00000000UL, 0x2655bc98UL, 0x3ff33e58UL,

    0x00000000UL, 0x00000000UL, 0xff691fa2UL, 0xbff3972eUL, 0xe93463bdUL,

    0xbfeeed87UL, 0x070e10a0UL, 0x3ff3f5b2UL, 0xf4d790a4UL, 0x3ff20c10UL,

    0xa04e8ea3UL, 0xbff4541aUL, 0x386accd3UL, 0xbff1369eUL, 0x222a66ddUL,

    0x3ff4b521UL, 0x22a9777eUL, 0x3ff20817UL, 0x52a04a6eUL, 0xbff5178fUL,

    0xddaa0031UL, 0xbff22137UL, 0x4447d47cUL, 0x3ff57c01UL, 0x1e9c7f1dUL,

    0x3ff29311UL, 0x2ab7f990UL, 0xbfe561b8UL, 0x209c7df1UL, 0xbc87a8c5UL,

    0x00000000UL, 0x3ff00000UL, 0x4170bcc6UL, 0x3fdc92d8UL, 0x00000000UL,

    0x00000000UL, 0x00000000UL, 0x00000000UL, 0xcc03e501UL, 0xbfdff10fUL,

    0x00000000UL, 0x00000000UL, 0x44a4e845UL, 0x3fddb63bUL, 0x00000000UL,

    0x00000000UL, 0x3768ad9fUL, 0xbfdb72a4UL, 0x3dd01ccaUL, 0xbfe5fdb9UL,

    0xa61d2811UL, 0x3fd972b2UL, 0x5645ad0bUL, 0x3fe977f9UL, 0xd013b3abUL,

    0xbfd78ca3UL, 0xbf0bf914UL, 0xbfe4f192UL, 0x4d53e730UL, 0x3fd5d060UL,

    0x3f8b9000UL, 0x3fe49933UL, 0xe2b82f08UL, 0xbfd4322aUL, 0x5936a835UL,

    0xbfe27ae1UL, 0xb1c61c9bUL, 0x3fd2b3fbUL, 0xef478605UL, 0x3fe1659eUL,

    0x190834ecUL, 0xbfe11ab7UL, 0xcdb625eaUL, 0x3c8e564bUL, 0x00000000UL,

    0x3ff00000UL, 0xb07217e3UL, 0x3fd248f1UL, 0x00000000UL, 0x00000000UL,

    0x00000000UL, 0x00000000UL, 0x56f37042UL, 0xbfccfc56UL, 0x00000000UL,

    0x00000000UL, 0xaa563951UL, 0x3fc90125UL, 0x00000000UL, 0x00000000UL,

    0x3d0e7c5dUL, 0xbfc50533UL, 0x9bed9b2eUL, 0xbfdf0ed9UL, 0x5fe7c47cUL,

    0x3fc1f250UL, 0x96c125e5UL, 0x3fe2edd9UL, 0x5a02bbd8UL, 0xbfbe5c71UL,

    0x86362c20UL, 0xbfda08b7UL, 0x4b4435edUL, 0x3fb9d342UL, 0x4b494091UL,

    0x3fd911bdUL, 0xb56658beUL, 0xbfb5e4c7UL, 0x93a2fd76UL, 0xbfd3c092UL,

    0xda271794UL, 0x3fb29910UL, 0x3303df2bUL, 0x3fd189beUL, 0x99fcef32UL,

    0xbfda8279UL, 0xb68c1467UL, 0xbc708b2fUL, 0x00000000UL, 0x3ff00000UL,

    0x980c4337UL, 0x3fc5f619UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,

    0x00000000UL, 0x9314533eUL, 0xbfbb8ec5UL, 0x00000000UL, 0x00000000UL,

    0x09aa36d0UL, 0x3fb6d3f4UL, 0x00000000UL, 0x00000000UL, 0xdcb427fdUL,

    0xbfb13950UL, 0xd87ab0bbUL, 0xbfd5335eUL, 0xce0ae8a5UL, 0x3fabb382UL,

    0x79143126UL, 0x3fddba41UL, 0x5f2b28d4UL, 0xbfa552f1UL, 0x59f21a6dUL,

    0xbfd015abUL, 0x22c27d95UL, 0x3fa0e984UL, 0xe19fc6aaUL, 0x3fd0576cUL,

    0x8f2c2950UL, 0xbf9a4898UL, 0xc0b3f22cUL, 0xbfc59462UL, 0x1883a4b8UL,

    0x3f94b61cUL, 0x3f838640UL, 0x3fc30eb8UL, 0x355c63dcUL, 0xbfd36a08UL,

    0x1dce993dUL, 0x3c6d704dUL, 0x00000000UL, 0x3ff00000UL, 0x2b82ab63UL,

    0x3fb78e92UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL,

    0x5a279ea3UL, 0xbfaa3407UL, 0x00000000UL, 0x00000000UL, 0x432d65faUL,

    0x3fa70153UL, 0x00000000UL, 0x00000000UL, 0x891a4602UL, 0xbf9d03efUL,

    0xd62ca5f8UL, 0xbfca77d9UL, 0xb35f4628UL, 0x3f97a265UL, 0x433258faUL,

    0x3fd8cf51UL, 0xb58fd909UL, 0xbf8f88e3UL, 0x01771ceaUL, 0xbfc2b154UL,

    0xf3562f8eUL, 0x3f888f57UL, 0xc028a723UL, 0x3fc7370fUL, 0x20b7f9f0UL,

    0xbf80f44cUL, 0x214368e9UL, 0xbfb6dfaaUL, 0x28891863UL, 0x3f79b4b6UL,

    0x172dbbf0UL, 0x3fb6cb8eUL, 0xe0553158UL, 0xbfc975f5UL, 0x593fe814UL,

    0xbc2ef5d3UL, 0x00000000UL, 0x3ff00000UL, 0x03dec550UL, 0x3fa44203UL,

    0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x4e435f9bUL,

    0xbf953f83UL, 0x00000000UL, 0x00000000UL, 0x3c6e8e46UL, 0x3f9b74eaUL,

    0x00000000UL, 0x00000000UL, 0xda5b7511UL, 0xbf85ad63UL, 0xdc230b9bUL,

    0xbfb97558UL, 0x26cb3788UL, 0x3f881308UL, 0x76fc4985UL, 0x3fd62ac9UL,

    0x77bb08baUL, 0xbf757c85UL, 0xb6247521UL, 0xbfb1381eUL, 0x5922170cUL,

    0x3f754e95UL, 0x8746482dUL, 0x3fc27f83UL, 0x11055b30UL, 0xbf64e391UL,

    0x3e666320UL, 0xbfa3e609UL, 0x0de9dae3UL, 0x3f6301dfUL, 0x1f1dca06UL,

    0x3fafa8aeUL, 0x8c5b2da2UL, 0xbfb936bbUL, 0x4e88f7a5UL, 0xbc587d05UL,

    0x00000000UL, 0x3ff00000UL, 0xa8935dd9UL, 0x3f83dde2UL, 0x00000000UL,

    0x00000000UL, 0x00000000UL, 0x00000000UL

};

{

    0xfffc0000UL, 0xffffffffUL, 0x00000000UL, 0x00000000UL

};

{

    0xb8fe4d77UL, 0x3f82609aUL

};

{

    0xbf847a43UL, 0x3f9664a0UL

};

{

    0x52c4c8abUL, 0x3faba1baUL

};

{

    0x11092746UL, 0x3fc11111UL

};

{

    0x55555612UL, 0x3fd55555UL

};

{

    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

};

{

    0x00000000UL, 0x3fe921fbUL, 0x4611a626UL, 0x3e85110bUL

};

{

    0x676733afUL, 0x3d32e7b9UL

};

{

    0x00000000UL, 0x3ff00000UL

};

{

    0x00000000UL, 0x43600000UL

};

{

    0x00000000UL, 0x3c800000UL

};

{

    0x00000000UL, 0x80000000UL

};

void MacroAssembler::fast_tan(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, L_2TAG_PACKET_14_0_1, B1_2, B1_3, B1_4, B1_5, start;

  address ONEHALF = (address)_ONEHALF_tan;

  address MUL16 = (address)_MUL16;

  address sign_mask = (address)_sign_mask_tan;

  address PI32INV = (address)_PI32INV_tan;

  address P_1 = (address)_P_1_tan;

  address P_2 = (address)_P_2_tan;

  address P_3 = (address)_P_3_tan;

  address Ctable = (address)_Ctable_tan;

  address MASK_35 = (address)_MASK_35_tan;

  address Q_11 = (address)_Q_11_tan;

  address Q_9 = (address)_Q_9_tan;

  address Q_7 = (address)_Q_7_tan;

  address Q_5 = (address)_Q_5_tan;

  address Q_3 = (address)_Q_3_tan;

  address PI_INV_TABLE = (address)_PI_INV_TABLE_tan;

  address PI_4 = (address)_PI_4_tan;

  address QQ_2 = (address)_QQ_2_tan;

  address ONE = (address)_ONE_tan;

  address TWO_POW_55 = (address)_TWO_POW_55_tan;