linux-sgx-trts-modified/external/sgx_libm/intel64/atan2.S

/*
* Math library
*
* Copyright (C) 2016 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.
*
*
* Author Name <jingwei.zhang@intel.com>
*   History:
*   03-14-2016 Initial version. numerics svn rev. 12864
*/
	.file "atan2.c"
	.text
..TXTST0:
# -- Begin  atan2
	.text
       .align    16,0x90
	.globl atan2
atan2:
# parameter 1: %xmm0
# parameter 2: %xmm1
..B1.1:
	.cfi_startproc
..___tag_value_atan2.1:
..L2:

        subq      $24, %rsp
	.cfi_def_cfa_offset 32
        movsd     %xmm0, (%rsp)
        movsd     %xmm1, 8(%rsp)
..B1.2:
        pextrw    $3, %xmm0, %eax
        andl      $32752, %eax
        subl      $14448, %eax
        cmpl      $3840, %eax
        ja        .L_2TAG_PACKET_0.0.2
        pextrw    $3, %xmm1, %eax
        andl      $32752, %eax
        subl      $14448, %eax
        cmpl      $3840, %eax
        ja        .L_2TAG_PACKET_1.0.2
.L_2TAG_PACKET_2.0.2:
        unpcklpd  %xmm1, %xmm0
        xorpd     %xmm5, %xmm5
        xorpd     %xmm3, %xmm3
        movl      $2048, %eax
        pinsrw    $3, %eax, %xmm5
        paddw     %xmm1, %xmm5
        psrlq     $29, %xmm5
        rcpss     %xmm5, %xmm3
        xorpd     %xmm4, %xmm4
        movl      $14336, %ecx
        pinsrw    $3, %ecx, %xmm4
        psllq     $29, %xmm3
        paddw     %xmm4, %xmm3
        mulsd     %xmm0, %xmm3
        xorpd     %xmm2, %xmm2
        xorpd     %xmm6, %xmm6
        xorpd     %xmm7, %xmm7
        movl      $32768, %eax
        pinsrw    $2, %eax, %xmm6
        movl      $32767, %ecx
        pinsrw    $3, %ecx, %xmm7
        paddd     %xmm6, %xmm3
        andpd     %xmm7, %xmm3
        movq      %xmm3, %xmm5
        pextrw    $3, %xmm3, %eax
        movl      $16448, %ecx
        pinsrw    $3, %ecx, %xmm2
        minsd     %xmm2, %xmm3
        movmskpd  %xmm0, %edx
        psllq     $1, %xmm0
        psrlq     $1, %xmm0
        cmpsd     $2, %xmm2, %xmm5
        psllq     $1, %xmm1
        psrlq     $1, %xmm1
        movq      %xmm1, %xmm6
        movq      %xmm1, %xmm7
        movq      %xmm0, %xmm2
        movl      $0, %ecx
        pinsrw    $0, %ecx, %xmm6
        subsd     %xmm6, %xmm7
        movq      %xmm0, %xmm4
        mulsd     %xmm3, %xmm6
        mulsd     %xmm3, %xmm4
        mulsd     %xmm3, %xmm7
        andpd     %xmm5, %xmm0
        subsd     %xmm6, %xmm0
        andpd     %xmm5, %xmm1
        addsd     %xmm1, %xmm4
        subsd     %xmm7, %xmm0
        andl      $32752, %eax
        subl      $16286, %eax
        cmpl      $1121, %eax
        ja        .L_2TAG_PACKET_3.0.2
        divsd     %xmm4, %xmm0
        pextrw    $3, %xmm3, %ecx
        movsd     a2(%rip), %xmm2
        movsd     b2(%rip), %xmm3
        pextrw    $0, %xmm5, %eax
        addl      %edx, %edx
        lea       P_TBL(%rip), %r8
        movapd    (%r8,%rdx,8), %xmm6
        lea       SGN_TBL(%rip), %r8
        movapd    (%r8,%rdx,8), %xmm1
        subl      $16286, %ecx
        notl      %eax
        andl      $1, %eax
        addl      %eax, %ecx
        addl      %ecx, %ecx
        lea       ATAN_TBL(%rip), %r8
        movapd    (%r8,%rcx,8), %xmm5
        xorpd     %xmm1, %xmm5
        addpd     %xmm6, %xmm5
        movq      %xmm5, %xmm6
        unpckhpd  %xmm5, %xmm5
        xorpd     %xmm0, %xmm1
        movq      %xmm1, %xmm4
        mulsd     %xmm0, %xmm0
        mulsd     %xmm0, %xmm2
        addsd     %xmm0, %xmm3
        addsd     %xmm6, %xmm1
        subsd     %xmm1, %xmm6
        addsd     %xmm4, %xmm6
        addsd     8+a2(%rip), %xmm2
        mulsd     %xmm0, %xmm3
        mulsd     %xmm4, %xmm0
        addsd     %xmm5, %xmm6
        mulsd     %xmm2, %xmm0
        addsd     8+b2(%rip), %xmm3
        mulsd     %xmm3, %xmm0
        addsd     %xmm6, %xmm0
        addsd     %xmm1, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_3.0.2:
        addl      $942, %eax
        cmpl      $942, %eax
        ja        .L_2TAG_PACKET_4.0.2
        xorpd     %xmm4, %xmm4
        movl      $16368, %ecx
        pinsrw    $3, %ecx, %xmm4
        divsd     %xmm1, %xmm4
        addl      %edx, %edx
        lea       SGN_TBL(%rip), %r8
        movapd    (%r8,%rdx,8), %xmm6
        unpcklpd  %xmm3, %xmm3
        xorpd     %xmm6, %xmm0
        xorpd     %xmm6, %xmm2
        xorpd     %xmm6, %xmm3
        lea       P_TBL2(%rip), %r8
        movapd    (%r8,%rdx,8), %xmm7
        movsd     a2(%rip), %xmm1
        movsd     b2(%rip), %xmm5
        lea       SELECT_B(%rip), %r8
        andpd     (%r8,%rdx,8), %xmm3
        mulsd     %xmm4, %xmm2
        mulsd     %xmm4, %xmm0
        movq      %xmm2, %xmm6
        mulsd     %xmm2, %xmm2
        mulsd     %xmm2, %xmm1
        addsd     %xmm2, %xmm5
        mulsd     %xmm2, %xmm6
        addsd     8+a2(%rip), %xmm1
        mulsd     %xmm2, %xmm5
        addsd     %xmm0, %xmm7
        addpd     %xmm3, %xmm7
        mulsd     %xmm6, %xmm1
        addsd     8+b2(%rip), %xmm5
        mulsd     %xmm1, %xmm5
        addsd     %xmm7, %xmm5
        pshufd    $238, %xmm7, %xmm0
        addsd     %xmm5, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_4.0.2:
        movsd     8(%rsp), %xmm1
        movsd     (%rsp), %xmm0
        pextrw    $3, %xmm1, %eax
        andl      $32752, %eax
        pextrw    $3, %xmm0, %ecx
        andl      $32752, %ecx
        cmpl      %eax, %ecx
        jg        .L_2TAG_PACKET_5.0.2
        pextrw    $3, %xmm1, %ecx
        cmpl      $32767, %ecx
        jg        .L_2TAG_PACKET_6.0.2
        divsd     %xmm1, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_6.0.2:
        andpd     SGNMASK(%rip), %xmm0
        movsd     pi_table(%rip), %xmm2
        xorpd     %xmm2, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_5.0.2:
        andpd     SGNMASK(%rip), %xmm0
        movsd     pi2_table(%rip), %xmm2
        xorpd     %xmm2, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_0.0.2:
.L_2TAG_PACKET_1.0.2:
        pextrw    $3, %xmm0, %ecx
        andl      $32752, %ecx
        pextrw    $3, %xmm1, %eax
        andl      $32752, %eax
        cmpl      $32752, %ecx
        je        .L_2TAG_PACKET_7.0.2
        cmpl      $32752, %eax
        je        .L_2TAG_PACKET_8.0.2
        movsd     POW55(%rip), %xmm3
        movl      $1024, %edx
        movsd     INVEXPMASK(%rip), %xmm4
        xorpd     %xmm6, %xmm6
        movsd     EXPMASK(%rip), %xmm7
        cmpl      $0, %ecx
        je        .L_2TAG_PACKET_9.0.2
.L_2TAG_PACKET_10.0.2:
        cmpl      $0, %eax
        je        .L_2TAG_PACKET_11.0.2
.L_2TAG_PACKET_12.0.2:
        addl      %ecx, %edx
        subl      %eax, %edx
        cmpl      $2048, %edx
        ja        .L_2TAG_PACKET_4.0.2
        addl      $15344, %edx
        pinsrw    $3, %edx, %xmm6
        andpd     %xmm4, %xmm0
        andpd     %xmm4, %xmm1
        orpd      %xmm6, %xmm0
        orpd      %xmm7, %xmm1
        jmp       .L_2TAG_PACKET_2.0.2
.L_2TAG_PACKET_9.0.2:
        subl      $880, %edx
        mulsd     %xmm3, %xmm0
        pextrw    $3, %xmm0, %ecx
        andl      $32752, %ecx
        cmpl      $0, %ecx
        je        .L_2TAG_PACKET_13.0.2
        jmp       .L_2TAG_PACKET_10.0.2
.L_2TAG_PACKET_11.0.2:
        addl      $880, %edx
        mulsd     %xmm3, %xmm1
        pextrw    $3, %xmm1, %eax
        andl      $32752, %eax
        cmpl      $0, %eax
        je        .L_2TAG_PACKET_14.0.2
        jmp       .L_2TAG_PACKET_12.0.2
.L_2TAG_PACKET_7.0.2:
        movd      %xmm0, %edx
        movq      %xmm0, %xmm2
        psrlq     $32, %xmm2
        movd      %xmm2, %ecx
        andl      $1048575, %ecx
        orl       %edx, %ecx
        cmpl      $0, %ecx
        jne       .L_2TAG_PACKET_15.0.2
        psrlq     $63, %xmm0
        psllq     $63, %xmm0
        cmpl      $32752, %eax
        jae       .L_2TAG_PACKET_16.0.2
        movapd    pi2_table(%rip), %xmm5
        pshufd    $238, %xmm5, %xmm4
        addsd     %xmm4, %xmm5
        orpd      %xmm5, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_15.0.2:
        addsd     %xmm0, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_16.0.2:
        movd      %xmm1, %eax
        movq      %xmm1, %xmm2
        psrlq     $32, %xmm2
        movd      %xmm2, %ecx
        movl      $-2147483648, %edx
        andl      %ecx, %edx
        andl      $1048575, %ecx
        orl       %eax, %ecx
        cmpl      $0, %ecx
        jne       .L_2TAG_PACKET_17.0.2
        cmpl      $0, %edx
        jne       .L_2TAG_PACKET_18.0.2
        movapd    pi4_table(%rip), %xmm5
        pshufd    $238, %xmm5, %xmm4
        addsd     %xmm4, %xmm5
        orpd      %xmm5, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_17.0.2:
        movq      %xmm1, %xmm0
        addsd     %xmm0, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_18.0.2:
        movapd    pi4_table(%rip), %xmm5
        movapd    pi2_table(%rip), %xmm6
        addpd     %xmm6, %xmm5
        pshufd    $238, %xmm5, %xmm6
        addpd     %xmm6, %xmm5
        orpd      %xmm5, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_8.0.2:
        movd      %xmm1, %eax
        movq      %xmm1, %xmm2
        psrlq     $32, %xmm2
        movd      %xmm2, %ecx
        movl      $-2147483648, %edx
        andl      %ecx, %edx
        andl      $1048575, %ecx
        orl       %eax, %ecx
        cmpl      $0, %ecx
        jne       .L_2TAG_PACKET_17.0.2
        psrlq     $63, %xmm0
        psllq     $63, %xmm0
        cmpl      $0, %edx
        jne       .L_2TAG_PACKET_19.0.2
        jmp       ..B1.5
.L_2TAG_PACKET_19.0.2:
        movapd    pi_table(%rip), %xmm5
        pshufd    $238, %xmm5, %xmm4
        addsd     %xmm4, %xmm5
        orpd      %xmm5, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_13.0.2:
        pextrw    $3, %xmm1, %edx
        andl      $32768, %edx
        cmpl      $0, %edx
        je        .L_2TAG_PACKET_20.0.2
        movapd    pi_table(%rip), %xmm5
        pshufd    $238, %xmm5, %xmm4
        addsd     %xmm4, %xmm5
        comisd    %xmm0, %xmm1
        orpd      %xmm5, %xmm0
        je        .L_2TAG_PACKET_21.0.2
        jmp       ..B1.5
.L_2TAG_PACKET_20.0.2:
        comisd    %xmm0, %xmm1
        je        .L_2TAG_PACKET_21.0.2
        jmp       ..B1.5
.L_2TAG_PACKET_14.0.2:
        movapd    pi2_table(%rip), %xmm5
        psrlq     $63, %xmm0
        psllq     $63, %xmm0
        pshufd    $238, %xmm5, %xmm4
        addsd     %xmm4, %xmm5
        orpd      %xmm5, %xmm0
        jmp       ..B1.5
.L_2TAG_PACKET_21.0.2:
        movq      %xmm0, 16(%rsp)
..B1.3:
        movq      16(%rsp), %xmm0
.L_2TAG_PACKET_22.0.2:
..B1.5:
        addq      $24, %rsp
	.cfi_def_cfa_offset 8
        ret       
        .align    16,0x90
	.cfi_endproc
	.type	atan2,@function
	.size	atan2,.-atan2
	.data
# -- End  atan2
	.section .rodata, "a"
	.align 16
	.align 16
a2:
	.long	2006262985
	.long	1069310863
	.long	2358449471
	.long	3217342131
	.type	a2,@object
	.size	a2,16
	.align 16
b2:
	.long	3845454352
	.long	1069952297
	.long	2829679149
	.long	1073771565
	.type	b2,@object
	.size	b2,16
	.align 16
P_TBL:
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	1413754136
	.long	1074340347
	.long	856972295
	.long	1017226790
	.long	1413754136
	.long	3221823995
	.long	856972295
	.long	3164710438
	.type	P_TBL,@object
	.size	P_TBL,64
	.align 16
SGN_TBL:
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	2147483648
	.long	0
	.long	2147483648
	.long	0
	.long	2147483648
	.long	0
	.long	2147483648
	.long	0
	.long	0
	.long	0
	.long	0
	.type	SGN_TBL,@object
	.size	SGN_TBL,64
	.align 16
ATAN_TBL:
	.long	3390881280
	.long	1067318733
	.long	1411116779
	.long	1018950063
	.long	2985987840
	.long	1067384211
	.long	2088903695
	.long	1018086027
	.long	3148445184
	.long	1067449685
	.long	2044163806
	.long	1017271335
	.long	3667629184
	.long	1067515494
	.long	2353092775
	.long	1019967309
	.long	1546568832
	.long	1067580954
	.long	611991315
	.long	1017602584
	.long	3815996800
	.long	1067646404
	.long	466038598
	.long	1019686426
	.long	4050241920
	.long	1067711845
	.long	3265026328
	.long	1019626952
	.long	120454912
	.long	1067777277
	.long	1542207696
	.long	1020155608
	.long	2784639744
	.long	1067842697
	.long	3883834623
	.long	1018602870
	.long	1328010624
	.long	1067908107
	.long	1791097456
	.long	1019053126
	.long	2217794048
	.long	1067973505
	.long	551619938
	.long	1018494194
	.long	3333520000
	.long	1068038891
	.long	2390331823
	.long	1019033022
	.long	2557052032
	.long	1068104265
	.long	2423976108
	.long	1019728674
	.long	2067649536
	.long	1068169626
	.long	3757397745
	.long	1018672362
	.long	4047094784
	.long	1068234973
	.long	481613184
	.long	1019275104
	.long	2089853184
	.long	1068300307
	.long	1733914374
	.long	1020124677
	.long	2678003840
	.long	1068365626
	.long	1373600282
	.long	1013935474
	.long	3706496128
	.long	1068430930
	.long	1000610902
	.long	1019673285
	.long	3073179008
	.long	1068496219
	.long	1497143008
	.long	1019900342
	.long	2803716736
	.long	1068562846
	.long	1476677416
	.long	1019444094
	.long	3204984128
	.long	1068628077
	.long	1192335905
	.long	1018748628
	.long	831146624
	.long	1068693273
	.long	2733586224
	.long	1018823295
	.long	243029376
	.long	1068758431
	.long	950106081
	.long	1019046675
	.long	1735561920
	.long	1068823549
	.long	3546440856
	.long	1020104712
	.long	1339217792
	.long	1068888626
	.long	3028812387
	.long	1019818321
	.long	3706342144
	.long	1068953659
	.long	3814564029
	.long	1017763871
	.long	637726976
	.long	1069018648
	.long	3584007699
	.long	1017976868
	.long	1148779264
	.long	1069083589
	.long	2282532133
	.long	1019483954
	.long	1406131392
	.long	1069148481
	.long	1547359113
	.long	1019786342
	.long	1908875904
	.long	1069213322
	.long	1315508410
	.long	1020009473
	.long	3194947520
	.long	1069278110
	.long	3845393201
	.long	1015803761
	.long	1547487744
	.long	1069342844
	.long	3863107865
	.long	1019810104
	.long	1881061952
	.long	1069407521
	.long	4288343548
	.long	1019687581
	.long	563086336
	.long	1069472140
	.long	2582230241
	.long	1020099350
	.long	2594975552
	.long	1069536698
	.long	2306443764
	.long	1019667244
	.long	3438545024
	.long	1069606573
	.long	957455549
	.long	1015587735
	.long	4211357472
	.long	1069670906
	.long	2611778754
	.long	1017877214
	.long	3002835424
	.long	1069735101
	.long	235580458
	.long	1020211685
	.long	3905315424
	.long	1069799150
	.long	3630647617
	.long	1018736849
	.long	2849656576
	.long	1069863047
	.long	2412165062
	.long	1019693004
	.long	507429472
	.long	1069926785
	.long	1397750723
	.long	1018412717
	.long	2307470272
	.long	1069990356
	.long	1796470904
	.long	1019796181
	.long	1271814912
	.long	1070053755
	.long	189761565
	.long	1016149115
	.long	3800538144
	.long	1070116974
	.long	2524871582
	.long	1018263353
	.long	3916203552
	.long	1070180008
	.long	127848658
	.long	1017672664
	.long	457192032
	.long	1070242851
	.long	4020400938
	.long	1019823010
	.long	1385324704
	.long	1070305495
	.long	564511179
	.long	1016079094
	.long	2322869856
	.long	1070367935
	.long	2347103319
	.long	1018927760
	.long	3743438624
	.long	1070430165
	.long	877973862
	.long	1019638162
	.long	2392255552
	.long	1070492180
	.long	2432782267
	.long	1018872629
	.long	4180443328
	.long	1070553973
	.long	3102990015
	.long	1020093101
	.long	2547540832
	.long	1070636485
	.long	3877738253
	.long	1017300424
	.long	2735468912
	.long	1070697461
	.long	2446470256
	.long	1019235378
	.long	542633792
	.long	1070757943
	.long	583606328
	.long	1018624131
	.long	923265984
	.long	1070817911
	.long	1793926708
	.long	1019714161
	.long	918728448
	.long	1070877348
	.long	3726463586
	.long	1019433296
	.long	2572275008
	.long	1070936237
	.long	1845354238
	.long	1019459238
	.long	50974688
	.long	1070994564
	.long	983808064
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	.long	856972295
	.long	1016178214
	.type	ATAN_TBL,@object
	.size	ATAN_TBL,2624
	.align 16
P_TBL2:
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	0
	.long	856972295
	.long	1017226790
	.long	1413754136
	.long	1074340347
	.long	856972295
	.long	3164710438
	.long	1413754136
	.long	3221823995
	.type	P_TBL2,@object
	.size	P_TBL2,64
	.align 16
SELECT_B:
	.long	0
	.long	0
	.long	4294967295
	.long	4294967295
	.long	0
	.long	0
	.long	4294967295
	.long	4294967295
	.long	4294967295
	.long	4294967295
	.long	0
	.long	0
	.long	4294967295
	.long	4294967295
	.long	0
	.long	0
	.type	SELECT_B,@object
	.size	SELECT_B,64
	.align 16
SGNMASK:
	.long	0
	.long	2147483648
	.long	0
	.long	2147483648
	.type	SGNMASK,@object
	.size	SGNMASK,16
	.align 16
pi_table:
	.long	1413754136
	.long	1074340347
	.long	856972295
	.long	1017226790
	.type	pi_table,@object
	.size	pi_table,16
	.align 16
pi2_table:
	.long	1413754136
	.long	1073291771
	.long	856972295
	.long	1016178214
	.type	pi2_table,@object
	.size	pi2_table,16
	.align 16
pi4_table:
	.long	1413754136
	.long	1072243195
	.long	856972295
	.long	1015129638
	.type	pi4_table,@object
	.size	pi4_table,16
	.align 4
POW55:
	.long	0
	.long	1130364928
	.type	POW55,@object
	.size	POW55,8
	.align 4
INVEXPMASK:
	.long	4294967295
	.long	2148532223
	.type	INVEXPMASK,@object
	.size	INVEXPMASK,8
	.align 4
EXPMASK:
	.long	0
	.long	1072693248
	.type	EXPMASK,@object
	.size	EXPMASK,8
	.data
	.section .note.GNU-stack, ""
// -- Begin DWARF2 SEGMENT .eh_frame
	.section .eh_frame,"a",@progbits
.eh_frame_seg:
	.align 1
# End