/*
Copyright (c) 2014, Intel Corporation
All rights reserved.

Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are met:

    * Redistributions of source code must retain the above copyright notice,
    * this list of conditions and the following disclaimer.

    * Redistributions in binary form must reproduce the above copyright notice,
    * this list of conditions and the following disclaimer in the documentation
    * and/or other materials provided with the distribution.

    * Neither the name of Intel Corporation nor the names of its contributors
    * may be used to endorse or promote products derived from this software
    * without specific prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/

/******************************************************************************/
//                     ALGORITHM DESCRIPTION
//                     ---------------------
//
// 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
//
/******************************************************************************/

#include <private/bionic_asm.h>
# -- Begin  static_func
        .text
        .align __bionic_asm_align
        .type static_func, @function
static_func:
..B1.1:
        call      ..L2
..L2:
        popl      %eax
        lea       _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
        lea       static_const_table@GOTOFF(%eax), %eax
        ret
        .size   static_func,.-static_func
# -- End  static_func

# -- Begin  tan
ENTRY(tan)
# parameter 1: 8 + %ebp
..B2.1:
..B2.2:
        pushl     %ebp
        movl      %esp, %ebp
        subl      $120, %esp
        movl      %ebx, 56(%esp)
        call      static_func
        movl      %eax, %ebx
        movsd     128(%esp), %xmm0
        pextrw    $3, %xmm0, %eax
        andl      $32767, %eax
        subl      $14368, %eax
        cmpl      $2216, %eax
        ja        .L_2TAG_PACKET_0.0.2
        movapd    5840(%ebx), %xmm5
        movapd    5856(%ebx), %xmm6
        unpcklpd  %xmm0, %xmm0
        movapd    5712(%ebx), %xmm4
        andpd     %xmm0, %xmm4
        movapd    5632(%ebx), %xmm1
        mulpd     %xmm0, %xmm1
        orpd      %xmm4, %xmm5
        addpd     %xmm5, %xmm1
        movapd    %xmm1, %xmm7
        unpckhpd  %xmm7, %xmm7
        cvttsd2si %xmm7, %edx
        cvttpd2dq %xmm1, %xmm1
        cvtdq2pd  %xmm1, %xmm1
        mulpd     %xmm6, %xmm1
        movapd    5664(%ebx), %xmm3
        movsd     5728(%ebx), %xmm5
        addl      $469248, %edx
        movapd    5680(%ebx), %xmm4
        mulpd     %xmm1, %xmm3
        andl      $31, %edx
        mulsd     %xmm1, %xmm5
        movl      %edx, %ecx
        mulpd     %xmm1, %xmm4
        shll      $1, %ecx
        subpd     %xmm3, %xmm0
        mulpd     5696(%ebx), %xmm1
        addl      %ecx, %edx
        shll      $2, %ecx
        addl      %ecx, %edx
        addsd     %xmm0, %xmm5
        movapd    %xmm0, %xmm2
        subpd     %xmm4, %xmm0
        movsd     5744(%ebx), %xmm6
        shll      $4, %edx
        lea       (%ebx), %eax
        andpd     5776(%ebx), %xmm5
        movapd    %xmm0, %xmm3
        addl      %edx, %eax
        subpd     %xmm0, %xmm2
        unpckhpd  %xmm0, %xmm0
        divsd     %xmm5, %xmm6
        subpd     %xmm4, %xmm2
        movapd    16(%eax), %xmm7
        subsd     %xmm5, %xmm3
        mulpd     %xmm0, %xmm7
        subpd     %xmm1, %xmm2
        movapd    48(%eax), %xmm1
        mulpd     %xmm0, %xmm1
        movapd    96(%eax), %xmm4
        mulpd     %xmm0, %xmm4
        addsd     %xmm3, %xmm2
        movapd    %xmm0, %xmm3
        mulpd     %xmm0, %xmm0
        addpd     (%eax), %xmm7
        addpd     32(%eax), %xmm1
        mulpd     %xmm0, %xmm1
        addpd     80(%eax), %xmm4
        addpd     %xmm1, %xmm7
        movapd    112(%eax), %xmm1
        mulpd     %xmm0, %xmm1
        mulpd     %xmm0, %xmm0
        addpd     %xmm1, %xmm4
        movapd    64(%eax), %xmm1
        mulpd     %xmm0, %xmm1
        addpd     %xmm1, %xmm7
        movapd    %xmm3, %xmm1
        mulpd     %xmm0, %xmm3
        mulsd     %xmm0, %xmm0
        mulpd     144(%eax), %xmm1
        mulpd     %xmm3, %xmm4
        movapd    %xmm1, %xmm3
        addpd     %xmm4, %xmm7
        movapd    %xmm1, %xmm4
        mulsd     %xmm7, %xmm0
        unpckhpd  %xmm7, %xmm7
        addsd     %xmm7, %xmm0
        unpckhpd  %xmm1, %xmm1
        addsd     %xmm1, %xmm3
        subsd     %xmm3, %xmm4
        addsd     %xmm4, %xmm1
        movapd    %xmm2, %xmm4
        movsd     144(%eax), %xmm7
        unpckhpd  %xmm2, %xmm2
        addsd     152(%eax), %xmm7
        mulsd     %xmm2, %xmm7
        addsd     136(%eax), %xmm7
        addsd     %xmm1, %xmm7
        addsd     %xmm7, %xmm0
        movsd     5744(%ebx), %xmm7
        mulsd     %xmm6, %xmm4
        movsd     168(%eax), %xmm2
        andpd     %xmm6, %xmm2
        mulsd     %xmm2, %xmm5
        mulsd     160(%eax), %xmm6
        subsd     %xmm5, %xmm7
        subsd     128(%eax), %xmm2
        subsd     %xmm4, %xmm7
        mulsd     %xmm6, %xmm7
        movapd    %xmm3, %xmm4
        subsd     %xmm2, %xmm3
        addsd     %xmm3, %xmm2
        subsd     %xmm2, %xmm4
        addsd     %xmm4, %xmm0
        subsd     %xmm7, %xmm0
        addsd     %xmm3, %xmm0
        movsd     %xmm0, (%esp)
        fldl      (%esp)
        jmp       .L_2TAG_PACKET_1.0.2
.L_2TAG_PACKET_0.0.2:
        jg        .L_2TAG_PACKET_2.0.2
        shrl      $4, %eax
        cmpl      $268434558, %eax
        jne       .L_2TAG_PACKET_3.0.2
        movapd    %xmm0, %xmm3
        mulsd     5808(%ebx), %xmm3
.L_2TAG_PACKET_3.0.2:
        movsd     5792(%ebx), %xmm3
        mulsd     %xmm0, %xmm3
        addsd     %xmm0, %xmm3
        mulsd     5808(%ebx), %xmm3
        movsd     %xmm3, (%esp)
        fldl      (%esp)
        jmp       .L_2TAG_PACKET_1.0.2
.L_2TAG_PACKET_2.0.2:
        movq      5712(%ebx), %xmm7
        andpd     %xmm0, %xmm7
        xorpd     %xmm0, %xmm7
        ucomisd   5760(%ebx), %xmm7
        je        .L_2TAG_PACKET_4.0.2
        subl      $32, %esp
        movsd     %xmm0, (%esp)
        lea       40(%esp), %eax
        movl      %eax, 8(%esp)
        movl      $2, %eax
        movl      %eax, 12(%esp)
        call      __libm_tancot_huge
        addl      $32, %esp
        fldl      8(%esp)
        jmp       .L_2TAG_PACKET_1.0.2
.L_2TAG_PACKET_4.0.2:
        movq      %xmm0, (%esp)
        fldl      (%esp)
        fsubl     (%esp)
.L_2TAG_PACKET_1.0.2:
        movl      56(%esp), %ebx
        movl      %ebp, %esp
        popl      %ebp
        ret       
..B2.3:
END(tan)
# -- End  tan

# Start file scope ASM
ALIAS_SYMBOL(tanl, tan);
# End file scope ASM
	.section .rodata, "a"
	.align 16
	.align 16
static_const_table:
	.long	0
	.long	0
	.long	0
	.long	0
	.long	2284589306
	.long	1066820852
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	1441186365
	.long	1065494243
	.long	1431655765
	.long	1070945621
	.long	0
	.long	0
	.long	0
	.long	0
	.long	236289504
	.long	1064135997
	.long	286331153
	.long	1069617425
	.long	0
	.long	0
	.long	0
	.long	0
	.long	1160476131
	.long	1062722102
	.long	463583772
	.long	1068212666
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	1072693248
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	1313038235
	.long	1066745731
	.long	0
	.long	0
	.long	1013878342
	.long	1067152618
	.long	0
	.long	0
	.long	3663426833
	.long	1065725283
	.long	3693284251
	.long	1069118808
	.long	650852232
	.long	1065882376
	.long	1996245381
	.long	1071000265
	.long	2008746170
	.long	1064664197
	.long	3055842593
	.long	1068578846
	.long	1495406348
	.long	1064652437
	.long	2269530157
	.long	1069711235
	.long	285563696
	.long	1063576465
	.long	1046897440
	.long	1067705865
	.long	233429731
	.long	1063453151
	.long	522045958
	.long	1068476590
	.long	2354785698
	.long	1069102779
	.long	1317599141
	.long	1012432133
	.long	0
	.long	1072693248
	.long	2828230105
	.long	1065606626
	.long	0
	.long	0
	.long	0
	.long	0
	.long	1512545955
	.long	1068119047
	.long	0
	.long	0
	.long	1127048698
	.long	1067909459
	.long	0
	.long	0
	.long	2300200450
	.long	1067254767
	.long	3593250296
	.long	1070233561
	.long	3009365544
	.long	1066902117
	.long	1127373050
	.long	1071173457
	.long	3046103305
	.long	1066371299
	.long	24583402
	.long	1069723988
	.long	4082511758
	.long	1065914199
	.long	3223889699
	.long	1070020367
	.long	548927984
	.long	1065415756
	.long	558065897
	.long	1068949418
	.long	680073315
	.long	1064940726
	.long	388873200
	.long	1068944270
	.long	3763679576
	.long	1070167541
	.long	1497360404
	.long	1009710547
	.long	0
	.long	1072693248
	.long	64931152
	.long	1067729411
	.long	0
	.long	0
	.long	0
	.long	0
	.long	2467582782
	.long	1069256389
	.long	0
	.long	0
	.long	162150096
	.long	1068946420
	.long	0
	.long	0
	.long	3702794237
	.long	1068579152
	.long	3631919291
	.long	1070936926
	.long	3456821413
	.long	1068217218
	.long	2031366438
	.long	1071495745
	.long	1596664020
	.long	1067799281
	.long	1509038701
	.long	1070601643
	.long	583171477
	.long	1067510148
	.long	3785344682
	.long	1070618476
	.long	2402036048
	.long	1067075736
	.long	3233018412
	.long	1069913186
	.long	411280568
	.long	1066710556
	.long	1065584192
	.long	1069747896
	.long	895247324
	.long	1070819848
	.long	500078909
	.long	3161288781
	.long	0
	.long	1072693248
	.long	729983843
	.long	1068994194
	.long	0
	.long	0
	.long	0
	.long	0
	.long	1458794562
	.long	1070398550
	.long	0
	.long	0
	.long	2857777489
	.long	1070137637
	.long	0
	.long	0
	.long	1024359517
	.long	1069876531
	.long	2616040238
	.long	1071582937
	.long	1609024636
	.long	1069675088
	.long	2529240549
	.long	1071836633
	.long	1510128600
	.long	1069440113
	.long	2251697184
	.long	1071253687
	.long	1262761453
	.long	1069142850
	.long	1263091857
	.long	1071190461
	.long	3043383486
	.long	1068885191
	.long	2476932470
	.long	1070842002
	.long	3659995028
	.long	1068669200
	.long	855891755
	.long	1070696894
	.long	2583490354
	.long	1071284857
	.long	3062633575
	.long	1014008623
	.long	0
	.long	1072693248
	.long	2550940471
	.long	1069938201
	.long	0
	.long	0
	.long	0
	.long	0
	.long	3422807297
	.long	1071640847
	.long	0
	.long	0
	.long	1151658053
	.long	1071494715
	.long	0
	.long	0
	.long	929607071
	.long	1071346340
	.long	1037049034
	.long	1072037305
	.long	2786928657
	.long	1071215282
	.long	1447406859
	.long	1072265209
	.long	3490952107
	.long	1071090851
	.long	3205232916
	.long	1071968658
	.long	1297344304
	.long	1070977120
	.long	1066110976
	.long	1071946035
	.long	3803721480
	.long	1070871082
	.long	1496754229
	.long	1071807201
	.long	2982550683
	.long	1070773243
	.long	4014441989
	.long	1071736222
	.long	419968236
	.long	1071717047
	.long	3451266538
	.long	3163444811
	.long	0
	.long	1072693248
	.long	2960267235
	.long	1070745841
	.long	0
	.long	0
	.long	0
	.long	0
	.long	724322768
	.long	1072881308
	.long	0
	.long	0
	.long	643153048
	.long	1072905816
	.long	0
	.long	0
	.long	4285079458
	.long	1072928558
	.long	3912524733
	.long	1072622983
	.long	118362272
	.long	1072952754
	.long	4107767972
	.long	1072827408
	.long	2689502883
	.long	1072976922
	.long	946523347
	.long	1072772766
	.long	573204189
	.long	1073001761
	.long	581531518
	.long	1072826391
	.long	1386236526
	.long	1073026959
	.long	3718905905
	.long	1072832823
	.long	1145558140
	.long	1073052673
	.long	513572637
	.long	1072861969
	.long	716700048
	.long	1071997368
	.long	547126769
	.long	1015523525
	.long	0
	.long	1072693248
	.long	1097907398
	.long	1071420120
	.long	0
	.long	0
	.long	0
	.long	0
	.long	3349892442
	.long	1074290212
	.long	0
	.long	0
	.long	3913197405
	.long	1074501181
	.long	0
	.long	0
	.long	2494034522
	.long	1074739170
	.long	1264738763
	.long	1073084804
	.long	1520293906
	.long	1074899632
	.long	1958936600
	.long	1073411493
	.long	2133649635
	.long	1075052171
	.long	4270740730
	.long	1073574708
	.long	1728930189
	.long	1075224844
	.long	1303998552
	.long	1073799186
	.long	618611933
	.long	1075420255
	.long	1769828046
	.long	1073938542
	.long	2200537986
	.long	1075641421
	.long	433361110
	.long	1074105369
	.long	719595600
	.long	1072317184
	.long	294527206
	.long	3162140088
	.long	0
	.long	1073741824
	.long	3811788216
	.long	3218400550
	.long	0
	.long	0
	.long	0
	.long	0
	.long	1704352102
	.long	1075943001
	.long	0
	.long	0
	.long	2284589306
	.long	1076258036
	.long	0
	.long	0
	.long	2211264291
	.long	1076659010
	.long	0
	.long	1073741824
	.long	1441186365
	.long	1077028579
	.long	1431655765
	.long	1074091349
	.long	876943673
	.long	1077353622
	.long	2863311531
	.long	1074440874
	.long	236289504
	.long	1077767485
	.long	286331153
	.long	1074860305
	.long	2805473311
	.long	1078115278
	.long	95443718
	.long	1075163227
	.long	1160476131
	.long	1078450742
	.long	463583772
	.long	1075552698
	.long	0
	.long	1072693248
	.long	0
	.long	0
	.long	0
	.long	1073741824
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	1330165971
	.long	3207850745
	.long	0
	.long	0
	.long	217536623
	.long	1059109098
	.long	0
	.long	0
	.long	3492120849
	.long	3205151475
	.long	602185705
	.long	3215678092
	.long	760422958
	.long	1056312597
	.long	555127889
	.long	1067545266
	.long	3139784124
	.long	3202470837
	.long	3690544014
	.long	3213150171
	.long	95707915
	.long	1053635428
	.long	4003114407
	.long	1064581412
	.long	2034926231
	.long	3199711161
	.long	3759536023
	.long	3210559989
	.long	3826928214
	.long	1050893819
	.long	3837960785
	.long	1061790379
	.long	1526325248
	.long	3217967566
	.long	2356426521
	.long	1025423456
	.long	0
	.long	0
	.long	457728975
	.long	1071088276
	.long	0
	.long	1072693248
	.long	0
	.long	4294967288
	.long	1398462608
	.long	3207303968
	.long	0
	.long	0
	.long	26205983
	.long	1058461213
	.long	0
	.long	0
	.long	56226238
	.long	3204528612
	.long	2754706541
	.long	3215359511
	.long	2187799823
	.long	1055634437
	.long	790323742
	.long	1067402587
	.long	1372385848
	.long	3201651479
	.long	4097292716
	.long	3212856302
	.long	3348210357
	.long	1052830099
	.long	2442796466
	.long	1064337602
	.long	862608142
	.long	3198830754
	.long	170296152
	.long	3210060867
	.long	3755571428
	.long	1049933343
	.long	3614866008
	.long	1061361670
	.long	719978496
	.long	3217669096
	.long	1998842465
	.long	3174703977
	.long	0
	.long	0
	.long	3749156607
	.long	1071048258
	.long	0
	.long	1072693248
	.long	0
	.long	4294967288
	.long	3120498638
	.long	3206749304
	.long	0
	.long	0
	.long	2773578114
	.long	1058009312
	.long	0
	.long	0
	.long	2030783676
	.long	3203817873
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	.hidden __libm_tancot_huge
	.section .note.GNU-stack, ""
# End
