/*
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
//                     ---------------------
//
//
//1. The method is based on the relationship of atan2(Y,X) to atan(|Y/X|)
//   as follows.
//                   /  sign(Y) atan(|Y/X|)                if X > 0
//       atan2(Y,X) =
//                   \  sign(Y)*pi  - sign(Y)*atan(|Y/X|)  if X < 0
//
//   Thus, atan2(Y,X) is of the form  atan2(Y,X) = PI + sgn*atan(|Y/X|)
//   where PI and sgn can be determined by the four possible combinations of
//   of the pair (sign(X),sign(Y)). We concentrate on the numerical method
//   for atan(|Y/X|).
//
//2. For |Y/X| < 2^(-64), atan(|Y/X|) ~=~ |Y/X|. Hence, atan2(Y,X) is  Y/X
//   if X > 0, and sign(Y)*pi otherwise.
//3. For |Y/X| >= 2^(65), atan(|Y/X|) ~=~ pi/2. Hence atan2(Y,X) is sign(Y)pi/2.
//4. For 2^(-64) <= |Y/X| < 2^(-5), atan(|Y/X|) is approximated by a polynomial
//   of the form  Z + Z*E*polynomial(E), where Z = |Y/X| and E = Z*Z.
//5. For |Y/X| > 2^(5), atan(|Y/X|) = pi/2 + atan(-|X/Y|), and atan(-|X/Y|) is
//   calculated using the polynomial in 4 above.
//6. For 2^(-5) <= |Y/X| <= 2^(5), we employ a table lookup method. First,
//   we obtain B = 2^k * 1.b1 b2 b3 b4 = 2^k * (1+k/16) that approximate
//   |Y/X| to approximately 5 significant bits. Hence, atan(|Y/X|) is
//
//      atan(|Y/X|)  =  atan(B) + atan(Z), where  Z = (|Y|-B|X|)/(|X|+B|Y|).
//                  ~=~   tau   + Z + Z*E*polynomial(E), where E = Z*Z.
//
//   B has the range from 2^(-6)*(1+14/16) to 2^5 = 2^(5)*(1+0/16), totally
//   163 possible values. These values are calculated beforehand and stored
//   in a table. The polynomial is the one used in 4.
//
// Special cases:
//  atan2(+-0, +0) = +-0
//  atan2(+-0, -0) = +-pi
//  atan2(+-0, x) = +-0, for x > 0, and +-pi, for x < 0
//  atan2(y, +-0) = +pi/2 for y > 0, and -pi/2 for y < 0
//  atan2(+-y, +INF) = +-0, for finite y > 0
//  atan2(+-y, -INF) = +-pi, for finite y > 0
//  atan2(+-INF, x) = +-pi/2, for finite x
//  atan2(+-INF, +INF) = +-pi/4
//  atan2(+-INF, -INF) = +-3*pi/4
//
/******************************************************************************/

#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  atan2
ENTRY(atan2)
# parameter 1: 8 + %ebp
# parameter 2: 16 + %ebp
..B2.1:
..B2.2:
        pushl     %ebp
        movl      %esp, %ebp
        subl      $120, %esp
        movl      %ebx, 64(%esp)
        call      static_func
        movl      %eax, %ebx
        movsd     136(%esp), %xmm1
        movsd     128(%esp), %xmm0
        pextrw    $3, %xmm0, %eax
        movq      %xmm0, 8(%esp)
        andl      $32752, %eax
        movq      %xmm1, 16(%esp)
        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
        movapd    %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
        movapd    %xmm1, %xmm6
        movapd    %xmm1, %xmm7
        movapd    %xmm0, %xmm2
        movl      $0, %ecx
        pinsrw    $0, %ecx, %xmm6
        subsd     %xmm6, %xmm7
        movapd    %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     2944(%ebx), %xmm2
        movsd     2960(%ebx), %xmm3
        pextrw    $0, %xmm5, %eax
        addl      %edx, %edx
        movapd    2688(%ebx,%edx,8), %xmm6
        movapd    2752(%ebx,%edx,8), %xmm1
        subl      $16286, %ecx
        notl      %eax
        andl      $1, %eax
        addl      %eax, %ecx
        addl      %ecx, %ecx
        movapd    (%ebx,%ecx,8), %xmm5
        xorpd     %xmm1, %xmm5
        addpd     %xmm6, %xmm5
        movapd    %xmm5, %xmm6
        unpckhpd  %xmm5, %xmm5
        xorpd     %xmm0, %xmm1
        movapd    %xmm1, %xmm4
        mulsd     %xmm0, %xmm0
        mulsd     %xmm0, %xmm2
        addsd     %xmm0, %xmm3
        addsd     %xmm6, %xmm1
        subsd     %xmm1, %xmm6
        addsd     %xmm4, %xmm6
        addsd     2952(%ebx), %xmm2
        mulsd     %xmm0, %xmm3
        mulsd     %xmm0, %xmm4
        addsd     %xmm5, %xmm6
        mulsd     %xmm4, %xmm2
        addsd     2968(%ebx), %xmm3
        mulsd     %xmm3, %xmm2
        addsd     %xmm6, %xmm2
        addsd     %xmm2, %xmm1
        movsd     %xmm1, (%esp)
        fldl      (%esp)
        jmp       .L_2TAG_PACKET_4.0.2
.L_2TAG_PACKET_3.0.2:
        addl      $942, %eax
        cmpl      $942, %eax
        ja        .L_2TAG_PACKET_5.0.2
        xorpd     %xmm4, %xmm4
        movl      $16368, %ecx
        pinsrw    $3, %ecx, %xmm4
        divsd     %xmm1, %xmm4
        addl      %edx, %edx
        movapd    2752(%ebx,%edx,8), %xmm6
        unpcklpd  %xmm3, %xmm3
        xorpd     %xmm6, %xmm0
        xorpd     %xmm6, %xmm2
        xorpd     %xmm6, %xmm3
        movapd    2816(%ebx,%edx,8), %xmm7
        movsd     2944(%ebx), %xmm1
        movsd     2960(%ebx), %xmm5
        andpd     2880(%ebx,%edx,8), %xmm3
        mulsd     %xmm4, %xmm2
        mulsd     %xmm4, %xmm0
        movapd    %xmm2, %xmm6
        mulsd     %xmm2, %xmm2
        mulsd     %xmm2, %xmm1
        addsd     %xmm2, %xmm5
        mulsd     %xmm2, %xmm6
        addsd     2952(%ebx), %xmm1
        mulsd     %xmm2, %xmm5
        addsd     %xmm0, %xmm7
        addpd     %xmm3, %xmm7
        mulsd     %xmm6, %xmm1
        addsd     2968(%ebx), %xmm5
        mulsd     %xmm1, %xmm5
        addsd     %xmm7, %xmm5
        unpckhpd  %xmm7, %xmm7
        addsd     %xmm7, %xmm5
        movsd     %xmm5, (%esp)
        fldl      (%esp)
        jmp       .L_2TAG_PACKET_4.0.2
.L_2TAG_PACKET_5.0.2:
        movsd     16(%esp), %xmm1
        movsd     8(%esp), %xmm0
        pextrw    $3, %xmm1, %eax
        andl      $32752, %eax
        pextrw    $3, %xmm0, %ecx
        andl      $32752, %ecx
        cmpl      %eax, %ecx
        jg        .L_2TAG_PACKET_6.0.2
        pextrw    $3, %xmm1, %ecx
        cmpl      $32767, %ecx
        jg        .L_2TAG_PACKET_7.0.2
        divsd     %xmm1, %xmm0
        movsd     %xmm0, (%esp)
        fldl      (%esp)
        jmp       .L_2TAG_PACKET_4.0.2
.L_2TAG_PACKET_7.0.2:
        andpd     2672(%ebx), %xmm0
        movsd     2640(%ebx), %xmm2
        xorpd     %xmm2, %xmm0
        movsd     %xmm0, (%esp)
        fldl      (%esp)
        jmp       .L_2TAG_PACKET_4.0.2
.L_2TAG_PACKET_6.0.2:
        andpd     2672(%ebx), %xmm0
        movsd     2624(%ebx), %xmm2
        xorpd     %xmm2, %xmm0
        movsd     %xmm0, (%esp)
        fldl      (%esp)
        jmp       .L_2TAG_PACKET_4.0.2
.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_8.0.2
        cmpl      $32752, %eax
        je        .L_2TAG_PACKET_9.0.2
        movsd     2992(%ebx), %xmm3
        movl      $1024, %edx
        movsd     2976(%ebx), %xmm4
        xorpd     %xmm6, %xmm6
        movsd     3008(%ebx), %xmm7
        cmpl      $0, %ecx
        je        .L_2TAG_PACKET_10.0.2
.L_2TAG_PACKET_11.0.2:
        cmpl      $0, %eax
        je        .L_2TAG_PACKET_12.0.2
.L_2TAG_PACKET_13.0.2:
        addl      %ecx, %edx
        subl      %eax, %edx
        cmpl      $2048, %edx
        ja        .L_2TAG_PACKET_5.0.2
        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_10.0.2:
        subl      $880, %edx
        mulsd     %xmm3, %xmm0
        pextrw    $3, %xmm0, %ecx
        andl      $32752, %ecx
        cmpl      $0, %ecx
        je        .L_2TAG_PACKET_14.0.2
        jmp       .L_2TAG_PACKET_11.0.2
.L_2TAG_PACKET_12.0.2:
        addl      $880, %edx
        mulsd     %xmm3, %xmm1
        pextrw    $3, %xmm1, %eax
        andl      $32752, %eax
        cmpl      $0, %eax
        je        .L_2TAG_PACKET_15.0.2
        jmp       .L_2TAG_PACKET_13.0.2
.L_2TAG_PACKET_8.0.2:
        movd      %xmm0, %edx
        movapd    %xmm0, %xmm2
        psrlq     $32, %xmm2
        movd      %xmm2, %ecx
        andl      $1048575, %ecx
        orl       %edx, %ecx
        cmpl      $0, %ecx
        jne       .L_2TAG_PACKET_16.0.2
        psrlq     $63, %xmm0
        psllq     $63, %xmm0
        cmpl      $32752, %eax
        jae       .L_2TAG_PACKET_17.0.2
        movapd    2624(%ebx), %xmm5
        pshufd    $238, %xmm5, %xmm4
        addsd     %xmm4, %xmm5
        orpd      %xmm5, %xmm0
.L_2TAG_PACKET_18.0.2:
        movsd     %xmm0, (%esp)
        fldl      (%esp)
        jmp       .L_2TAG_PACKET_4.0.2
.L_2TAG_PACKET_16.0.2:
        addsd     %xmm1, %xmm0
        jmp       .L_2TAG_PACKET_18.0.2
.L_2TAG_PACKET_17.0.2:
        movd      %xmm1, %eax
        movapd    %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_19.0.2
        cmpl      $0, %edx
        jne       .L_2TAG_PACKET_20.0.2
        movapd    2656(%ebx), %xmm5
        pshufd    $238, %xmm5, %xmm4
        addsd     %xmm4, %xmm5
        orpd      %xmm5, %xmm0
        movsd     %xmm0, (%esp)
        fldl      (%esp)
        jmp       .L_2TAG_PACKET_4.0.2
.L_2TAG_PACKET_19.0.2:
        movapd    %xmm1, %xmm0
        movsd     %xmm0, (%esp)
        fldl      (%esp)
        jmp       .L_2TAG_PACKET_4.0.2
.L_2TAG_PACKET_20.0.2:
        movapd    2656(%ebx), %xmm5
        movapd    2624(%ebx), %xmm6
        addpd     %xmm6, %xmm5
        pshufd    $238, %xmm5, %xmm6
        addpd     %xmm6, %xmm5
        orpd      %xmm5, %xmm0
        movsd     %xmm0, (%esp)
        fldl      (%esp)
        jmp       .L_2TAG_PACKET_4.0.2
.L_2TAG_PACKET_9.0.2:
        movd      %xmm1, %eax
        movapd    %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_19.0.2
        psrlq     $63, %xmm0
        psllq     $63, %xmm0
        cmpl      $0, %edx
        jne       .L_2TAG_PACKET_21.0.2
        movsd     %xmm0, (%esp)
        fldl      (%esp)
        jmp       .L_2TAG_PACKET_4.0.2
.L_2TAG_PACKET_21.0.2:
        movapd    2640(%ebx), %xmm5
        pshufd    $238, %xmm5, %xmm4
        addsd     %xmm4, %xmm5
        orpd      %xmm5, %xmm0
        movsd     %xmm0, (%esp)
        fldl      (%esp)
        jmp       .L_2TAG_PACKET_4.0.2
.L_2TAG_PACKET_14.0.2:
        pextrw    $3, %xmm1, %edx
        andl      $32768, %edx
        cmpl      $0, %edx
        je        .L_2TAG_PACKET_22.0.2
        movapd    2640(%ebx), %xmm5
        pshufd    $238, %xmm5, %xmm4
        addsd     %xmm4, %xmm5
        comisd    %xmm0, %xmm1
        orpd      %xmm5, %xmm0
        jne       .L_2TAG_PACKET_23.0.2
.L_2TAG_PACKET_24.0.2:
        movsd     %xmm0, (%esp)
        fldl      (%esp)
        jmp       .L_2TAG_PACKET_4.0.2
.L_2TAG_PACKET_23.0.2:
        movsd     %xmm0, (%esp)
        fldl      (%esp)
        jmp       .L_2TAG_PACKET_4.0.2
.L_2TAG_PACKET_22.0.2:
        comisd    %xmm0, %xmm1
        jne       .L_2TAG_PACKET_23.0.2
        je        .L_2TAG_PACKET_24.0.2
.L_2TAG_PACKET_15.0.2:
        movapd    2624(%ebx), %xmm5
        psrlq     $63, %xmm0
        psllq     $63, %xmm0
        pshufd    $238, %xmm5, %xmm4
        addsd     %xmm4, %xmm5
        orpd      %xmm5, %xmm0
        movsd     %xmm0, (%esp)
        fldl      (%esp)
.L_2TAG_PACKET_4.0.2:
        movl      64(%esp), %ebx
        movl      %ebp, %esp
        popl      %ebp
        ret       
..B2.3:
END(atan2)
# -- End  atan2

# Start file scope ASM
ALIAS_SYMBOL(atan2l, atan2);
# End file scope ASM
	.section .rodata, "a"
	.align 16
	.align 16
static_const_table:
	.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
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	.section .note.GNU-stack, ""
# End