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      1 /*
      2 Copyright (c) 2014, Intel Corporation
      3 All rights reserved.
      4 
      5 Redistribution and use in source and binary forms, with or without
      6 modification, are permitted provided that the following conditions are met:
      7 
      8     * Redistributions of source code must retain the above copyright notice,
      9     * this list of conditions and the following disclaimer.
     10 
     11     * Redistributions in binary form must reproduce the above copyright notice,
     12     * this list of conditions and the following disclaimer in the documentation
     13     * and/or other materials provided with the distribution.
     14 
     15     * Neither the name of Intel Corporation nor the names of its contributors
     16     * may be used to endorse or promote products derived from this software
     17     * without specific prior written permission.
     18 
     19 THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
     20 ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
     21 WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
     22 DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
     23 ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
     24 (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
     25 LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
     26 ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
     27 (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
     28 SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
     29 */
     30 
     31 /******************************************************************************/
     32 //                     ALGORITHM DESCRIPTION
     33 //                     ---------------------
     34 //
     35 //
     36 //1. The method is based on the relationship of atan2(Y,X) to atan(|Y/X|)
     37 //   as follows.
     38 //                   /  sign(Y) atan(|Y/X|)                if X > 0
     39 //       atan2(Y,X) =
     40 //                   \  sign(Y)*pi  - sign(Y)*atan(|Y/X|)  if X < 0
     41 //
     42 //   Thus, atan2(Y,X) is of the form  atan2(Y,X) = PI + sgn*atan(|Y/X|)
     43 //   where PI and sgn can be determined by the four possible combinations of
     44 //   of the pair (sign(X),sign(Y)). We concentrate on the numerical method
     45 //   for atan(|Y/X|).
     46 //
     47 //2. For |Y/X| < 2^(-64), atan(|Y/X|) ~=~ |Y/X|. Hence, atan2(Y,X) is  Y/X
     48 //   if X > 0, and sign(Y)*pi otherwise.
     49 //3. For |Y/X| >= 2^(65), atan(|Y/X|) ~=~ pi/2. Hence atan2(Y,X) is sign(Y)pi/2.
     50 //4. For 2^(-64) <= |Y/X| < 2^(-5), atan(|Y/X|) is approximated by a polynomial
     51 //   of the form  Z + Z*E*polynomial(E), where Z = |Y/X| and E = Z*Z.
     52 //5. For |Y/X| > 2^(5), atan(|Y/X|) = pi/2 + atan(-|X/Y|), and atan(-|X/Y|) is
     53 //   calculated using the polynomial in 4 above.
     54 //6. For 2^(-5) <= |Y/X| <= 2^(5), we employ a table lookup method. First,
     55 //   we obtain B = 2^k * 1.b1 b2 b3 b4 = 2^k * (1+k/16) that approximate
     56 //   |Y/X| to approximately 5 significant bits. Hence, atan(|Y/X|) is
     57 //
     58 //      atan(|Y/X|)  =  atan(B) + atan(Z), where  Z = (|Y|-B|X|)/(|X|+B|Y|).
     59 //                  ~=~   tau   + Z + Z*E*polynomial(E), where E = Z*Z.
     60 //
     61 //   B has the range from 2^(-6)*(1+14/16) to 2^5 = 2^(5)*(1+0/16), totally
     62 //   163 possible values. These values are calculated beforehand and stored
     63 //   in a table. The polynomial is the one used in 4.
     64 //
     65 // Special cases:
     66 //  atan2(+-0, +0) = +-0
     67 //  atan2(+-0, -0) = +-pi
     68 //  atan2(+-0, x) = +-0, for x > 0, and +-pi, for x < 0
     69 //  atan2(y, +-0) = +pi/2 for y > 0, and -pi/2 for y < 0
     70 //  atan2(+-y, +INF) = +-0, for finite y > 0
     71 //  atan2(+-y, -INF) = +-pi, for finite y > 0
     72 //  atan2(+-INF, x) = +-pi/2, for finite x
     73 //  atan2(+-INF, +INF) = +-pi/4
     74 //  atan2(+-INF, -INF) = +-3*pi/4
     75 //
     76 /******************************************************************************/
     77 
     78 #include <private/bionic_asm.h>
     79 # -- Begin  atan2
     80 ENTRY(atan2)
     81 # parameter 1: %xmm0
     82 # parameter 2: %xmm1
     83 ..B1.1:
     84 ..___tag_value_atan2.1:
     85         subq      $24, %rsp
     86 ..___tag_value_atan2.3:
     87         movsd     %xmm0, (%rsp)
     88         movsd     %xmm1, 8(%rsp)
     89 ..B1.2:
     90         pextrw    $3, %xmm0, %eax
     91         andl      $32752, %eax
     92         subl      $14448, %eax
     93         cmpl      $3840, %eax
     94         ja        .L_2TAG_PACKET_0.0.2
     95         pextrw    $3, %xmm1, %eax
     96         andl      $32752, %eax
     97         subl      $14448, %eax
     98         cmpl      $3840, %eax
     99         ja        .L_2TAG_PACKET_1.0.2
    100 .L_2TAG_PACKET_2.0.2:
    101         unpcklpd  %xmm1, %xmm0
    102         xorpd     %xmm5, %xmm5
    103         xorpd     %xmm3, %xmm3
    104         movl      $2048, %eax
    105         pinsrw    $3, %eax, %xmm5
    106         paddw     %xmm1, %xmm5
    107         psrlq     $29, %xmm5
    108         rcpss     %xmm5, %xmm3
    109         xorpd     %xmm4, %xmm4
    110         movl      $14336, %ecx
    111         pinsrw    $3, %ecx, %xmm4
    112         psllq     $29, %xmm3
    113         paddw     %xmm4, %xmm3
    114         mulsd     %xmm0, %xmm3
    115         xorpd     %xmm2, %xmm2
    116         xorpd     %xmm6, %xmm6
    117         xorpd     %xmm7, %xmm7
    118         movl      $32768, %eax
    119         pinsrw    $2, %eax, %xmm6
    120         movl      $32767, %ecx
    121         pinsrw    $3, %ecx, %xmm7
    122         paddd     %xmm6, %xmm3
    123         andpd     %xmm7, %xmm3
    124         movq      %xmm3, %xmm5
    125         pextrw    $3, %xmm3, %eax
    126         movl      $16448, %ecx
    127         pinsrw    $3, %ecx, %xmm2
    128         minsd     %xmm2, %xmm3
    129         movmskpd  %xmm0, %edx
    130         psllq     $1, %xmm0
    131         psrlq     $1, %xmm0
    132         cmpsd     $2, %xmm2, %xmm5
    133         psllq     $1, %xmm1
    134         psrlq     $1, %xmm1
    135         movq      %xmm1, %xmm6
    136         movq      %xmm1, %xmm7
    137         movq      %xmm0, %xmm2
    138         movl      $0, %ecx
    139         pinsrw    $0, %ecx, %xmm6
    140         subsd     %xmm6, %xmm7
    141         movq      %xmm0, %xmm4
    142         mulsd     %xmm3, %xmm6
    143         mulsd     %xmm3, %xmm4
    144         mulsd     %xmm3, %xmm7
    145         andpd     %xmm5, %xmm0
    146         subsd     %xmm6, %xmm0
    147         andpd     %xmm5, %xmm1
    148         addsd     %xmm1, %xmm4
    149         subsd     %xmm7, %xmm0
    150         andl      $32752, %eax
    151         subl      $16286, %eax
    152         cmpl      $1121, %eax
    153         ja        .L_2TAG_PACKET_3.0.2
    154         divsd     %xmm4, %xmm0
    155         pextrw    $3, %xmm3, %ecx
    156         movsd     a2(%rip), %xmm2
    157         movsd     b2(%rip), %xmm3
    158         pextrw    $0, %xmm5, %eax
    159         addl      %edx, %edx
    160         lea       P_TBL(%rip), %r8
    161         movapd    (%r8,%rdx,8), %xmm6
    162         lea       SGN_TBL(%rip), %r8
    163         movapd    (%r8,%rdx,8), %xmm1
    164         subl      $16286, %ecx
    165         notl      %eax
    166         andl      $1, %eax
    167         addl      %eax, %ecx
    168         addl      %ecx, %ecx
    169         lea       ATAN_TBL(%rip), %r8
    170         movapd    (%r8,%rcx,8), %xmm5
    171         xorpd     %xmm1, %xmm5
    172         addpd     %xmm6, %xmm5
    173         movq      %xmm5, %xmm6
    174         unpckhpd  %xmm5, %xmm5
    175         xorpd     %xmm0, %xmm1
    176         movq      %xmm1, %xmm4
    177         mulsd     %xmm0, %xmm0
    178         mulsd     %xmm0, %xmm2
    179         addsd     %xmm0, %xmm3
    180         addsd     %xmm6, %xmm1
    181         subsd     %xmm1, %xmm6
    182         addsd     %xmm4, %xmm6
    183         addsd     8+a2(%rip), %xmm2
    184         mulsd     %xmm0, %xmm3
    185         mulsd     %xmm4, %xmm0
    186         addsd     %xmm5, %xmm6
    187         mulsd     %xmm2, %xmm0
    188         addsd     8+b2(%rip), %xmm3
    189         mulsd     %xmm3, %xmm0
    190         addsd     %xmm6, %xmm0
    191         addsd     %xmm1, %xmm0
    192         jmp       ..B1.5
    193 .L_2TAG_PACKET_3.0.2:
    194         addl      $942, %eax
    195         cmpl      $942, %eax
    196         ja        .L_2TAG_PACKET_4.0.2
    197         xorpd     %xmm4, %xmm4
    198         movl      $16368, %ecx
    199         pinsrw    $3, %ecx, %xmm4
    200         divsd     %xmm1, %xmm4
    201         addl      %edx, %edx
    202         lea       SGN_TBL(%rip), %r8
    203         movapd    (%r8,%rdx,8), %xmm6
    204         unpcklpd  %xmm3, %xmm3
    205         xorpd     %xmm6, %xmm0
    206         xorpd     %xmm6, %xmm2
    207         xorpd     %xmm6, %xmm3
    208         lea       P_TBL2(%rip), %r8
    209         movapd    (%r8,%rdx,8), %xmm7
    210         movsd     a2(%rip), %xmm1
    211         movsd     b2(%rip), %xmm5
    212         lea       SELECT_B(%rip), %r8
    213         andpd     (%r8,%rdx,8), %xmm3
    214         mulsd     %xmm4, %xmm2
    215         mulsd     %xmm4, %xmm0
    216         movq      %xmm2, %xmm6
    217         mulsd     %xmm2, %xmm2
    218         mulsd     %xmm2, %xmm1
    219         addsd     %xmm2, %xmm5
    220         mulsd     %xmm2, %xmm6
    221         addsd     8+a2(%rip), %xmm1
    222         mulsd     %xmm2, %xmm5
    223         addsd     %xmm0, %xmm7
    224         addpd     %xmm3, %xmm7
    225         mulsd     %xmm6, %xmm1
    226         addsd     8+b2(%rip), %xmm5
    227         mulsd     %xmm1, %xmm5
    228         addsd     %xmm7, %xmm5
    229         pshufd    $238, %xmm7, %xmm0
    230         addsd     %xmm5, %xmm0
    231         jmp       ..B1.5
    232 .L_2TAG_PACKET_4.0.2:
    233         movsd     8(%rsp), %xmm1
    234         movsd     (%rsp), %xmm0
    235         pextrw    $3, %xmm1, %eax
    236         andl      $32752, %eax
    237         pextrw    $3, %xmm0, %ecx
    238         andl      $32752, %ecx
    239         cmpl      %eax, %ecx
    240         jg        .L_2TAG_PACKET_5.0.2
    241         pextrw    $3, %xmm1, %ecx
    242         cmpl      $32767, %ecx
    243         jg        .L_2TAG_PACKET_6.0.2
    244         divsd     %xmm1, %xmm0
    245         jmp       ..B1.5
    246 .L_2TAG_PACKET_6.0.2:
    247         andpd     SGNMASK(%rip), %xmm0
    248         movsd     pi_table(%rip), %xmm2
    249         xorpd     %xmm2, %xmm0
    250         jmp       ..B1.5
    251 .L_2TAG_PACKET_5.0.2:
    252         andpd     SGNMASK(%rip), %xmm0
    253         movsd     pi2_table(%rip), %xmm2
    254         xorpd     %xmm2, %xmm0
    255         jmp       ..B1.5
    256 .L_2TAG_PACKET_0.0.2:
    257 .L_2TAG_PACKET_1.0.2:
    258         pextrw    $3, %xmm0, %ecx
    259         andl      $32752, %ecx
    260         pextrw    $3, %xmm1, %eax
    261         andl      $32752, %eax
    262         cmpl      $32752, %ecx
    263         je        .L_2TAG_PACKET_7.0.2
    264         cmpl      $32752, %eax
    265         je        .L_2TAG_PACKET_8.0.2
    266         movsd     POW55(%rip), %xmm3
    267         movl      $1024, %edx
    268         movsd     INVEXPMASK(%rip), %xmm4
    269         xorpd     %xmm6, %xmm6
    270         movsd     EXPMASK(%rip), %xmm7
    271         cmpl      $0, %ecx
    272         je        .L_2TAG_PACKET_9.0.2
    273 .L_2TAG_PACKET_10.0.2:
    274         cmpl      $0, %eax
    275         je        .L_2TAG_PACKET_11.0.2
    276 .L_2TAG_PACKET_12.0.2:
    277         addl      %ecx, %edx
    278         subl      %eax, %edx
    279         cmpl      $2048, %edx
    280         ja        .L_2TAG_PACKET_4.0.2
    281         addl      $15344, %edx
    282         pinsrw    $3, %edx, %xmm6
    283         andpd     %xmm4, %xmm0
    284         andpd     %xmm4, %xmm1
    285         orpd      %xmm6, %xmm0
    286         orpd      %xmm7, %xmm1
    287         jmp       .L_2TAG_PACKET_2.0.2
    288 .L_2TAG_PACKET_9.0.2:
    289         subl      $880, %edx
    290         mulsd     %xmm3, %xmm0
    291         pextrw    $3, %xmm0, %ecx
    292         andl      $32752, %ecx
    293         cmpl      $0, %ecx
    294         je        .L_2TAG_PACKET_13.0.2
    295         jmp       .L_2TAG_PACKET_10.0.2
    296 .L_2TAG_PACKET_11.0.2:
    297         addl      $880, %edx
    298         mulsd     %xmm3, %xmm1
    299         pextrw    $3, %xmm1, %eax
    300         andl      $32752, %eax
    301         cmpl      $0, %eax
    302         je        .L_2TAG_PACKET_14.0.2
    303         jmp       .L_2TAG_PACKET_12.0.2
    304 .L_2TAG_PACKET_7.0.2:
    305         movd      %xmm0, %edx
    306         movq      %xmm0, %xmm2
    307         psrlq     $32, %xmm2
    308         movd      %xmm2, %ecx
    309         andl      $1048575, %ecx
    310         orl       %edx, %ecx
    311         cmpl      $0, %ecx
    312         jne       .L_2TAG_PACKET_15.0.2
    313         psrlq     $63, %xmm0
    314         psllq     $63, %xmm0
    315         cmpl      $32752, %eax
    316         jae       .L_2TAG_PACKET_16.0.2
    317         movapd    pi2_table(%rip), %xmm5
    318         pshufd    $238, %xmm5, %xmm4
    319         addsd     %xmm4, %xmm5
    320         orpd      %xmm5, %xmm0
    321         jmp       ..B1.5
    322 .L_2TAG_PACKET_15.0.2:
    323         addsd     %xmm0, %xmm0
    324         jmp       ..B1.5
    325 .L_2TAG_PACKET_16.0.2:
    326         movd      %xmm1, %eax
    327         movq      %xmm1, %xmm2
    328         psrlq     $32, %xmm2
    329         movd      %xmm2, %ecx
    330         movl      $-2147483648, %edx
    331         andl      %ecx, %edx
    332         andl      $1048575, %ecx
    333         orl       %eax, %ecx
    334         cmpl      $0, %ecx
    335         jne       .L_2TAG_PACKET_17.0.2
    336         cmpl      $0, %edx
    337         jne       .L_2TAG_PACKET_18.0.2
    338         movapd    pi4_table(%rip), %xmm5
    339         pshufd    $238, %xmm5, %xmm4
    340         addsd     %xmm4, %xmm5
    341         orpd      %xmm5, %xmm0
    342         jmp       ..B1.5
    343 .L_2TAG_PACKET_17.0.2:
    344         movq      %xmm1, %xmm0
    345         addsd     %xmm0, %xmm0
    346         jmp       ..B1.5
    347 .L_2TAG_PACKET_18.0.2:
    348         movapd    pi4_table(%rip), %xmm5
    349         movapd    pi2_table(%rip), %xmm6
    350         addpd     %xmm6, %xmm5
    351         pshufd    $238, %xmm5, %xmm6
    352         addpd     %xmm6, %xmm5
    353         orpd      %xmm5, %xmm0
    354         jmp       ..B1.5
    355 .L_2TAG_PACKET_8.0.2:
    356         movd      %xmm1, %eax
    357         movq      %xmm1, %xmm2
    358         psrlq     $32, %xmm2
    359         movd      %xmm2, %ecx
    360         movl      $-2147483648, %edx
    361         andl      %ecx, %edx
    362         andl      $1048575, %ecx
    363         orl       %eax, %ecx
    364         cmpl      $0, %ecx
    365         jne       .L_2TAG_PACKET_17.0.2
    366         psrlq     $63, %xmm0
    367         psllq     $63, %xmm0
    368         cmpl      $0, %edx
    369         jne       .L_2TAG_PACKET_19.0.2
    370         jmp       ..B1.5
    371 .L_2TAG_PACKET_19.0.2:
    372         movapd    pi_table(%rip), %xmm5
    373         pshufd    $238, %xmm5, %xmm4
    374         addsd     %xmm4, %xmm5
    375         orpd      %xmm5, %xmm0
    376         jmp       ..B1.5
    377 .L_2TAG_PACKET_13.0.2:
    378         pextrw    $3, %xmm1, %edx
    379         andl      $32768, %edx
    380         cmpl      $0, %edx
    381         je        .L_2TAG_PACKET_20.0.2
    382         movapd    pi_table(%rip), %xmm5
    383         pshufd    $238, %xmm5, %xmm4
    384         addsd     %xmm4, %xmm5
    385         comisd    %xmm0, %xmm1
    386         orpd      %xmm5, %xmm0
    387         je        .L_2TAG_PACKET_21.0.2
    388         jmp       ..B1.5
    389 .L_2TAG_PACKET_20.0.2:
    390         comisd    %xmm0, %xmm1
    391         je        .L_2TAG_PACKET_21.0.2
    392         jmp       ..B1.5
    393 .L_2TAG_PACKET_14.0.2:
    394         movapd    pi2_table(%rip), %xmm5
    395         psrlq     $63, %xmm0
    396         psllq     $63, %xmm0
    397         pshufd    $238, %xmm5, %xmm4
    398         addsd     %xmm4, %xmm5
    399         orpd      %xmm5, %xmm0
    400         jmp       ..B1.5
    401 .L_2TAG_PACKET_21.0.2:
    402         movq      %xmm0, 16(%rsp)
    403 ..B1.3:
    404         movq      16(%rsp), %xmm0
    405 .L_2TAG_PACKET_22.0.2:
    406 ..B1.5:
    407         addq      $24, %rsp
    408 ..___tag_value_atan2.4:
    409         ret
    410 ..___tag_value_atan2.5:
    411 END(atan2)
    412 # -- End  atan2
    413 	.section .rodata, "a"
    414 	.align 16
    415 	.align 16
    416 a2:
    417 	.long	2006262985
    418 	.long	1069310863
    419 	.long	2358449471
    420 	.long	3217342131
    421 	.type	a2,@object
    422 	.size	a2,16
    423 	.align 16
    424 b2:
    425 	.long	3845454352
    426 	.long	1069952297
    427 	.long	2829679149
    428 	.long	1073771565
    429 	.type	b2,@object
    430 	.size	b2,16
    431 	.align 16
    432 P_TBL:
    433 	.long	0
    434 	.long	0
    435 	.long	0
    436 	.long	0
    437 	.long	0
    438 	.long	0
    439 	.long	0
    440 	.long	0
    441 	.long	1413754136
    442 	.long	1074340347
    443 	.long	856972295
    444 	.long	1017226790
    445 	.long	1413754136
    446 	.long	3221823995
    447 	.long	856972295
    448 	.long	3164710438
    449 	.type	P_TBL,@object
    450 	.size	P_TBL,64
    451 	.align 16
    452 SGN_TBL:
    453 	.long	0
    454 	.long	0
    455 	.long	0
    456 	.long	0
    457 	.long	0
    458 	.long	2147483648
    459 	.long	0
    460 	.long	2147483648
    461 	.long	0
    462 	.long	2147483648
    463 	.long	0
    464 	.long	2147483648
    465 	.long	0
    466 	.long	0
    467 	.long	0
    468 	.long	0
    469 	.type	SGN_TBL,@object
    470 	.size	SGN_TBL,64
    471 	.align 16
    472 ATAN_TBL:
    473 	.long	3390881280
    474 	.long	1067318733
    475 	.long	1411116779
    476 	.long	1018950063
    477 	.long	2985987840
    478 	.long	1067384211
    479 	.long	2088903695
    480 	.long	1018086027
    481 	.long	3148445184
    482 	.long	1067449685
    483 	.long	2044163806
    484 	.long	1017271335
    485 	.long	3667629184
    486 	.long	1067515494
    487 	.long	2353092775
    488 	.long	1019967309
    489 	.long	1546568832
    490 	.long	1067580954
    491 	.long	611991315
    492 	.long	1017602584
    493 	.long	3815996800
    494 	.long	1067646404
    495 	.long	466038598
    496 	.long	1019686426
    497 	.long	4050241920
    498 	.long	1067711845
    499 	.long	3265026328
    500 	.long	1019626952
    501 	.long	120454912
    502 	.long	1067777277
    503 	.long	1542207696
    504 	.long	1020155608
    505 	.long	2784639744
    506 	.long	1067842697
    507 	.long	3883834623
    508 	.long	1018602870
    509 	.long	1328010624
    510 	.long	1067908107
    511 	.long	1791097456
    512 	.long	1019053126
    513 	.long	2217794048
    514 	.long	1067973505
    515 	.long	551619938
    516 	.long	1018494194
    517 	.long	3333520000
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   1118 	.long	1073257958
   1119 	.long	1373808632
   1120 	.long	1019493031
   1121 	.long	4250240828
   1122 	.long	1073259013
   1123 	.long	3891047882
   1124 	.long	1020108730
   1125 	.long	1413754136
   1126 	.long	1073291771
   1127 	.long	856972295
   1128 	.long	1016178214
   1129 	.type	ATAN_TBL,@object
   1130 	.size	ATAN_TBL,2624
   1131 	.align 16
   1132 P_TBL2:
   1133 	.long	0
   1134 	.long	0
   1135 	.long	0
   1136 	.long	0
   1137 	.long	0
   1138 	.long	0
   1139 	.long	0
   1140 	.long	0
   1141 	.long	856972295
   1142 	.long	1017226790
   1143 	.long	1413754136
   1144 	.long	1074340347
   1145 	.long	856972295
   1146 	.long	3164710438
   1147 	.long	1413754136
   1148 	.long	3221823995
   1149 	.type	P_TBL2,@object
   1150 	.size	P_TBL2,64
   1151 	.align 16
   1152 SELECT_B:
   1153 	.long	0
   1154 	.long	0
   1155 	.long	4294967295
   1156 	.long	4294967295
   1157 	.long	0
   1158 	.long	0
   1159 	.long	4294967295
   1160 	.long	4294967295
   1161 	.long	4294967295
   1162 	.long	4294967295
   1163 	.long	0
   1164 	.long	0
   1165 	.long	4294967295
   1166 	.long	4294967295
   1167 	.long	0
   1168 	.long	0
   1169 	.type	SELECT_B,@object
   1170 	.size	SELECT_B,64
   1171 	.align 16
   1172 SGNMASK:
   1173 	.long	0
   1174 	.long	2147483648
   1175 	.long	0
   1176 	.long	2147483648
   1177 	.type	SGNMASK,@object
   1178 	.size	SGNMASK,16
   1179 	.align 16
   1180 pi_table:
   1181 	.long	1413754136
   1182 	.long	1074340347
   1183 	.long	856972295
   1184 	.long	1017226790
   1185 	.type	pi_table,@object
   1186 	.size	pi_table,16
   1187 	.align 16
   1188 pi2_table:
   1189 	.long	1413754136
   1190 	.long	1073291771
   1191 	.long	856972295
   1192 	.long	1016178214
   1193 	.type	pi2_table,@object
   1194 	.size	pi2_table,16
   1195 	.align 16
   1196 pi4_table:
   1197 	.long	1413754136
   1198 	.long	1072243195
   1199 	.long	856972295
   1200 	.long	1015129638
   1201 	.type	pi4_table,@object
   1202 	.size	pi4_table,16
   1203 	.align 4
   1204 POW55:
   1205 	.long	0
   1206 	.long	1130364928
   1207 	.type	POW55,@object
   1208 	.size	POW55,8
   1209 	.align 4
   1210 INVEXPMASK:
   1211 	.long	4294967295
   1212 	.long	2148532223
   1213 	.type	INVEXPMASK,@object
   1214 	.size	INVEXPMASK,8
   1215 	.align 4
   1216 EXPMASK:
   1217 	.long	0
   1218 	.long	1072693248
   1219 	.type	EXPMASK,@object
   1220 	.size	EXPMASK,8
   1221 	.data
   1222 	.section .note.GNU-stack, ""
   1223 // -- Begin DWARF2 SEGMENT .eh_frame
   1224 	.section .eh_frame,"a",@progbits
   1225 .eh_frame_seg:
   1226 	.align 1
   1227 	.4byte 0x00000014
   1228 	.8byte 0x00527a0100000000
   1229 	.8byte 0x08070c1b01107801
   1230 	.4byte 0x00000190
   1231 	.4byte 0x0000001c
   1232 	.4byte 0x0000001c
   1233 	.4byte ..___tag_value_atan2.1-.
   1234 	.4byte ..___tag_value_atan2.5-..___tag_value_atan2.1
   1235 	.2byte 0x0400
   1236 	.4byte ..___tag_value_atan2.3-..___tag_value_atan2.1
   1237 	.2byte 0x200e
   1238 	.byte 0x04
   1239 	.4byte ..___tag_value_atan2.4-..___tag_value_atan2.3
   1240 	.2byte 0x080e
   1241 	.byte 0x00
   1242 # End
   1243