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 // To compute acos(s), separate schemes are used when s is in different 36 // intervals. 37 // 38 // |s| in [2^{-4}, sqrt(3)/2): 39 // Let t=2^k*1.b1 b2..b6 1, where s=2^k*1.b1 b2 .. b52 40 // acos(s)=pi/2-asin(t)-asin(r), where r=s*sqrt(1-t^2)-t*sqrt(1-s^2) 41 // asin(r)-r evaluated as 7-degree polynomial (c3*r^3+c5*r^5+c7*r^7) 42 // For the first degree term, r is evaluated as 43 // R=(s^2-t^2)/(sqrt(1-t^2)*s+sqrt(1-s^2)*t) 44 // (sqrt(1-t^2) read from table) 45 // The main source of error is still R (may still be affected by up to 3 ulps 46 // of rounding error). The table size must be sufficiently large, to minimize 47 // this effect. 48 // 49 // |s| in [sqrt(3)/2, 255/256): 50 // Let t=2^k*1.b1 b2..b6 1, where sqrt(1-s^2)=2^k*1.b1 b2 .. b52 (rounded) 51 // acos(|s|)=asin(t)-asin(r), r=s*t-sqrt(1-s^2)*sqrt(1-t^2) 52 // acos(-|s|)=pi-acos(|s|) 53 // (The -PI constant, or 0, is added to the result. The sign is set at 54 // the end) 55 // asin(r) evaluated as a polynomial (same as above) 56 // The first degree term is evaluated as 57 // r=(s^2+t^2-1)/(s*t+sqrt(1-s^2)*sqrt(1-t^2)) 58 // 59 // |s|<2^{-4}: acos(s)=pi/2-asin(s) 60 // evaluate asin(s) as 13-degree polynomial 61 // 62 // |s| in [255/256,1): acos(|s|)=2*asin(q), where q=sqrt((1-|s|)/2) 63 // asin(q) is evaluated as 13-degree polynomial 64 // q^2=(1-|s|)/2 is obtained in advance 65 // 2*q*eps ~ ((1-|s|)/2-q^2)/q used for first term 66 // acos(-|s|)=pi-acos(|s|) 67 // (The -PI constant, or 0, is added to the result. The sign is set at 68 // the end) 69 // 70 // Special cases: 71 // acos(NaN) = quiet NaN, and raise invalid exception 72 // acos(INF) = QNaN and raise invalid exception 73 // acos(x) = QNaN and raise invalid exception, for |x|>1.0 74 // acos(1) = +0 75 // 76 /******************************************************************************/ 77 78 #include <private/bionic_asm.h> 79 # -- Begin acos 80 ENTRY(acos) 81 # parameter 1: %xmm0 82 ..B1.1: 83 ..___tag_value_acos.1: 84 subq $24, %rsp 85 ..___tag_value_acos.3: 86 movsd %xmm0, (%rsp) 87 ..B1.2: 88 movsd ABSVALMASK(%rip), %xmm4 89 movsd ONEMASK(%rip), %xmm3 90 xorpd %xmm5, %xmm5 91 movsd TMASK(%rip), %xmm2 92 movq %xmm0, %xmm1 93 psrlq $44, %xmm0 94 movd %xmm0, %edx 95 movq %xmm1, %xmm7 96 movl $8192, %ecx 97 pinsrw $2, %ecx, %xmm5 98 movq %xmm1, %xmm0 99 movl $524287, %eax 100 andl %edx, %eax 101 subl $260864, %eax 102 cmpl $955, %eax 103 jae .L_2TAG_PACKET_0.0.2 104 mulsd %xmm1, %xmm1 105 andl $65535, %edx 106 subsd %xmm1, %xmm3 107 sqrtsd %xmm3, %xmm3 108 andpd %xmm7, %xmm2 109 andl $-4, %edx 110 subl $64256, %edx 111 lea T_table(%rip), %r8 112 movsd (%r8,%rdx,2), %xmm1 113 orpd %xmm5, %xmm2 114 lea Tbl_addr(%rip), %r8 115 movapd (%r8,%rdx,4), %xmm4 116 movq %xmm7, %xmm6 117 addsd %xmm2, %xmm7 118 subsd %xmm2, %xmm0 119 mulsd %xmm0, %xmm7 120 mulsd %xmm1, %xmm6 121 mulsd %xmm2, %xmm3 122 movq %xmm6, %xmm1 123 addsd %xmm3, %xmm6 124 divsd %xmm6, %xmm7 125 movsd 24+cv(%rip), %xmm0 126 movsd 8+cv(%rip), %xmm5 127 subsd %xmm3, %xmm1 128 psrlq $63, %xmm2 129 movq %xmm1, %xmm3 130 psllq $63, %xmm2 131 mulsd %xmm1, %xmm1 132 pshufd $68, %xmm2, %xmm2 133 movsd 16+cv(%rip), %xmm6 134 mulsd %xmm1, %xmm3 135 mulsd %xmm1, %xmm0 136 xorpd %xmm2, %xmm4 137 mulsd %xmm3, %xmm5 138 subpd PI_BY_2(%rip), %xmm4 139 mulsd %xmm1, %xmm3 140 addsd %xmm6, %xmm0 141 mulsd %xmm3, %xmm0 142 subsd %xmm4, %xmm5 143 pshufd $238, %xmm4, %xmm4 144 addsd %xmm5, %xmm0 145 subsd %xmm7, %xmm0 146 subsd %xmm4, %xmm0 147 jmp ..B1.5 148 .L_2TAG_PACKET_0.0.2: 149 subl $955, %eax 150 cmpl $65, %eax 151 jae .L_2TAG_PACKET_1.0.2 152 psrlq $38, %xmm7 153 psllq $38, %xmm7 154 pmovmskb %xmm0, %eax 155 andnpd %xmm0, %xmm4 156 subsd %xmm7, %xmm1 157 movq %xmm7, %xmm6 158 mulsd %xmm7, %xmm7 159 addsd %xmm6, %xmm0 160 orpd %xmm4, %xmm5 161 subsd %xmm7, %xmm3 162 mulsd %xmm1, %xmm0 163 movq %xmm3, %xmm4 164 subsd %xmm0, %xmm3 165 sqrtsd %xmm3, %xmm3 166 andl $128, %eax 167 shrl $7, %eax 168 negl %eax 169 movq %xmm3, %xmm7 170 andpd %xmm3, %xmm2 171 psllq $2, %xmm3 172 pextrw $3, %xmm3, %edx 173 orpd %xmm5, %xmm2 174 movd %eax, %xmm3 175 pshufd $0, %xmm3, %xmm3 176 subl $65216, %edx 177 addl %edx, %edx 178 lea T_table(%rip), %r8 179 mulsd (%r8,%rdx,4), %xmm7 180 mulsd %xmm2, %xmm6 181 mulsd %xmm2, %xmm1 182 mulsd %xmm2, %xmm2 183 subsd %xmm7, %xmm6 184 andpd NEG_PI(%rip), %xmm3 185 addsd %xmm1, %xmm6 186 subsd %xmm2, %xmm4 187 addsd %xmm7, %xmm7 188 movsd 8+cv(%rip), %xmm5 189 subsd %xmm0, %xmm4 190 addsd %xmm6, %xmm7 191 movsd 24+cv(%rip), %xmm0 192 divsd %xmm7, %xmm4 193 movsd 16+cv(%rip), %xmm2 194 lea Tbl_addr(%rip), %r8 195 addpd (%r8,%rdx,8), %xmm3 196 movq %xmm6, %xmm1 197 mulsd %xmm6, %xmm6 198 mulsd %xmm6, %xmm0 199 mulsd %xmm6, %xmm1 200 mulsd %xmm1, %xmm5 201 mulsd %xmm6, %xmm1 202 addsd %xmm2, %xmm0 203 pxor %xmm6, %xmm6 204 mulsd %xmm1, %xmm0 205 addsd %xmm3, %xmm5 206 addsd %xmm5, %xmm0 207 andl $32768, %eax 208 pinsrw $3, %eax, %xmm6 209 movq %xmm4, %xmm5 210 pshufd $238, %xmm3, %xmm3 211 addsd %xmm3, %xmm4 212 subsd %xmm4, %xmm3 213 addsd %xmm3, %xmm5 214 addsd %xmm5, %xmm0 215 addsd %xmm4, %xmm0 216 xorpd %xmm6, %xmm0 217 jmp ..B1.5 218 .L_2TAG_PACKET_1.0.2: 219 addl $15291, %eax 220 cmpl $14336, %eax 221 jae .L_2TAG_PACKET_2.0.2 222 unpcklpd %xmm0, %xmm0 223 movapd cv2(%rip), %xmm6 224 unpcklpd %xmm0, %xmm1 225 movapd 16+cv2(%rip), %xmm2 226 movapd 32+cv2(%rip), %xmm4 227 mulpd %xmm0, %xmm0 228 movapd PI_BY_2(%rip), %xmm5 229 mulpd %xmm0, %xmm1 230 mulpd %xmm0, %xmm6 231 mulpd %xmm0, %xmm0 232 movq %xmm1, %xmm3 233 mulsd %xmm1, %xmm1 234 addpd %xmm2, %xmm6 235 mulpd %xmm0, %xmm4 236 mulsd %xmm3, %xmm1 237 addpd %xmm4, %xmm6 238 pshufd $238, %xmm5, %xmm0 239 mulpd %xmm6, %xmm1 240 pshufd $238, %xmm5, %xmm6 241 subsd %xmm7, %xmm0 242 pshufd $238, %xmm1, %xmm2 243 subsd %xmm1, %xmm5 244 subsd %xmm0, %xmm6 245 subsd %xmm2, %xmm5 246 subsd %xmm6, %xmm7 247 subsd %xmm7, %xmm5 248 addsd %xmm5, %xmm0 249 jmp ..B1.5 250 .L_2TAG_PACKET_2.0.2: 251 subl $15356, %eax 252 cmpl $4, %eax 253 jae .L_2TAG_PACKET_3.0.2 254 xorpd %xmm6, %xmm6 255 andpd ABSVALMASK(%rip), %xmm7 256 movsd ONE_BY_2(%rip), %xmm4 257 movapd cv2(%rip), %xmm1 258 mulsd %xmm4, %xmm7 259 movapd 16+cv2(%rip), %xmm2 260 subsd %xmm7, %xmm4 261 movapd 32+cv2(%rip), %xmm3 262 pshufd $68, %xmm4, %xmm7 263 sqrtsd %xmm4, %xmm4 264 mulpd %xmm7, %xmm1 265 pshufd $68, %xmm7, %xmm5 266 pextrw $3, %xmm0, %eax 267 mulpd %xmm7, %xmm7 268 addpd %xmm1, %xmm2 269 movsd HALFMASK(%rip), %xmm1 270 mulpd %xmm7, %xmm3 271 cmpsd $1, %xmm6, %xmm0 272 mulsd %xmm5, %xmm7 273 addpd %xmm3, %xmm2 274 pshufd $68, %xmm0, %xmm0 275 mulsd %xmm7, %xmm2 276 andpd NEG_PI(%rip), %xmm0 277 mulpd %xmm5, %xmm2 278 andpd %xmm4, %xmm1 279 pshufd $68, %xmm4, %xmm3 280 subsd %xmm1, %xmm4 281 addsd %xmm3, %xmm3 282 mulsd %xmm1, %xmm1 283 subsd %xmm4, %xmm3 284 subsd %xmm1, %xmm5 285 mulsd %xmm3, %xmm4 286 pshufd $238, %xmm3, %xmm3 287 subsd %xmm4, %xmm5 288 divsd %xmm3, %xmm5 289 addpd %xmm3, %xmm3 290 mulpd %xmm3, %xmm2 291 pshufd $238, %xmm2, %xmm4 292 addsd %xmm0, %xmm2 293 andl $32768, %eax 294 pinsrw $3, %eax, %xmm6 295 pshufd $238, %xmm0, %xmm0 296 addsd %xmm4, %xmm2 297 addsd %xmm5, %xmm2 298 addsd %xmm3, %xmm2 299 addsd %xmm2, %xmm0 300 xorpd %xmm6, %xmm0 301 jmp ..B1.5 302 .L_2TAG_PACKET_3.0.2: 303 addl $261884, %eax 304 cmpl $261888, %eax 305 jb .L_2TAG_PACKET_4.0.2 306 movd %xmm7, %ecx 307 psrlq $32, %xmm7 308 movd %xmm7, %edx 309 andl $2147483647, %edx 310 movl $1072693248, %eax 311 subl %edx, %eax 312 orl %ecx, %eax 313 cmpl $0, %eax 314 je .L_2TAG_PACKET_5.0.2 315 movsd (%rsp), %xmm2 316 movd %xmm2, %edx 317 psrlq $32, %xmm2 318 movd %xmm2, %ecx 319 andl $2147483647, %ecx 320 subl $1, %edx 321 sbbl $2146435072, %ecx 322 cmpl $0, %ecx 323 jge .L_2TAG_PACKET_6.0.2 324 xorpd %xmm1, %xmm1 325 xorpd %xmm0, %xmm0 326 movl $32752, %edx 327 pinsrw $3, %edx, %xmm1 328 mulsd %xmm1, %xmm0 329 jmp .L_2TAG_PACKET_7.0.2 330 .L_2TAG_PACKET_5.0.2: 331 pextrw $1, %xmm7, %edx 332 shrl $15, %edx 333 negl %edx 334 movd %edx, %xmm7 335 pshufd $0, %xmm7, %xmm7 336 movsd PI(%rip), %xmm2 337 movsd 8+PI(%rip), %xmm0 338 andpd %xmm7, %xmm2 339 andpd %xmm7, %xmm0 340 addsd %xmm2, %xmm0 341 jmp ..B1.5 342 .L_2TAG_PACKET_4.0.2: 343 movsd PI_BY_2(%rip), %xmm2 344 movsd 8+PI_BY_2(%rip), %xmm0 345 addsd %xmm2, %xmm0 346 jmp ..B1.5 347 .L_2TAG_PACKET_6.0.2: 348 xorpd %xmm6, %xmm6 349 addsd %xmm6, %xmm0 350 jmp ..B1.5 351 .L_2TAG_PACKET_7.0.2: 352 movq %xmm0, 8(%rsp) 353 ..B1.3: 354 movq 8(%rsp), %xmm0 355 .L_2TAG_PACKET_8.0.2: 356 ..B1.5: 357 addq $24, %rsp 358 ..___tag_value_acos.4: 359 ret 360 ..___tag_value_acos.5: 361 END(acos) 362 # -- End acos 363 .section .rodata, "a" 364 .align 16 365 .align 16 366 ABSVALMASK: 367 .long 4294967295 368 .long 2147483647 369 .long 0 370 .long 0 371 .type ABSVALMASK,@object 372 .size ABSVALMASK,16 373 .align 16 374 T_table: 375 .long 2642784509 376 .long 1072689083 377 .long 1514442531 378 .long 1072688953 379 .long 333108933 380 .long 1072688821 381 .long 3392112024 382 .long 1072688686 383 .long 2099852862 384 .long 1072688550 385 .long 749609004 386 .long 1072688412 387 .long 3634632596 388 .long 1072688271 389 .long 2163248461 390 .long 1072688129 391 .long 628657846 392 .long 1072687985 393 .long 3324036511 394 .long 1072687838 395 .long 1657632815 396 .long 1072687690 397 .long 4217538760 398 .long 1072687539 399 .long 2411951597 400 .long 1072687387 401 .long 533944872 402 .long 1072687233 403 .long 2876566508 404 .long 1072687076 405 .long 847936891 406 .long 1072686918 407 .long 3036019913 408 .long 1072686757 409 .long 848884575 410 .long 1072686595 411 .long 2874443326 412 .long 1072686430 413 .long 520713666 414 .long 1072686264 415 .long 2375556481 416 .long 1072686095 417 .long 4141904948 418 .long 1072685924 419 .long 1522666382 420 .long 1072685752 421 .long 3105624104 422 .long 1072685577 423 .long 298666327 424 .long 1072685401 425 .long 1689524500 426 .long 1072685222 427 .long 2981002200 428 .long 1072685041 429 .long 4170844284 430 .long 1072684858 431 .long 961802263 432 .long 1072684674 433 .long 1941503454 434 .long 1072684487 435 .long 2812647170 436 .long 1072684298 437 .long 3572873869 438 .long 1072684107 439 .long 4219797823 440 .long 1072683914 441 .long 456039788 442 .long 1072683720 443 .long 869096151 444 .long 1072683523 445 .long 1161535119 446 .long 1072683324 447 .long 1330865866 448 .long 1072683123 449 .long 1374571204 450 .long 1072682920 451 .long 1290107538 452 .long 1072682715 453 .long 1074904836 454 .long 1072682508 455 .long 726366587 456 .long 1072682299 457 .long 241869763 458 .long 1072682088 459 .long 3913732079 460 .long 1072681874 461 .long 3149342765 462 .long 1072681659 463 .long 2240966306 464 .long 1072681442 465 .long 1185873216 466 .long 1072681223 467 .long 4276274591 468 .long 1072681001 469 .long 2919452883 470 .long 1072680778 471 .long 1407565635 472 .long 1072680553 473 .long 4032743551 474 .long 1072680325 475 .long 2202188565 476 .long 1072680096 477 .long 207977577 478 .long 1072679865 479 .long 2342160518 480 .long 1072679631 481 .long 11858423 482 .long 1072679396 483 .long 1804034453 484 .long 1072679158 485 .long 3420722787 486 .long 1072678918 487 .long 563930456 488 .long 1072678677 489 .long 1820539192 490 .long 1072678433 491 .long 2892501606 492 .long 1072678187 493 .long 3776710320 494 .long 1072677939 495 .long 175063337 496 .long 1072677690 497 .long 674333171 498 .long 1072677438 499 .long 976363026 500 .long 1072677184 501 .long 1077935934 502 .long 1072676928 503 .long 1921075490 504 .long 1072676540 505 .long 881493302 506 .long 1072676016 507 .long 3275752439 508 .long 1072675483 509 .long 486855588 510 .long 1072674943 511 .long 1077229111 512 .long 1072674394 513 .long 723950308 514 .long 1072673837 515 .long 3693582199 516 .long 1072673271 517 .long 1367335316 518 .long 1072672698 519 .long 2305837020 520 .long 1072672116 521 .long 2184358641 522 .long 1072671526 523 .long 972682840 524 .long 1072670928 525 .long 2935101762 526 .long 1072670321 527 .long 3745513263 528 .long 1072669706 529 .long 3372320886 530 .long 1072669083 531 .long 1783464620 532 .long 1072668452 533 .long 3241386215 534 .long 1072667812 535 .long 3418125284 536 .long 1072667164 537 .long 2280219148 538 .long 1072666508 539 .long 4088700758 540 .long 1072665843 541 .long 219227400 542 .long 1072665171 543 .long 3521816918 544 .long 1072664489 545 .long 1076205279 546 .long 1072663800 547 .long 1436484616 548 .long 1072663102 549 .long 271362610 550 .long 1072662396 551 .long 1838996688 552 .long 1072661681 553 .long 1807122518 554 .long 1072660958 555 .long 137953542 556 .long 1072660227 557 .long 1088178584 558 .long 1072659487 559 .long 324057537 560 .long 1072658739 561 .long 2101288076 562 .long 1072657982 563 .long 2085133974 564 .long 1072657217 565 .long 235324451 566 .long 1072656444 567 .long 806051592 568 .long 1072655662 569 .long 3756033140 570 .long 1072654871 571 .long 453542543 572 .long 1072654073 573 .long 3741177327 574 .long 1072653265 575 .long 691216109 576 .long 1072652450 577 .long 4145223372 578 .long 1072651625 579 .long 1174439091 580 .long 1072650793 581 .long 324416139 582 .long 1072649952 583 .long 1550246310 584 .long 1072649102 585 .long 511524674 586 .long 1072648244 587 .long 1457248482 588 .long 1072647377 589 .long 45944955 590 .long 1072646502 591 .long 525537397 592 .long 1072645618 593 .long 2848440188 594 .long 1072644725 595 .long 2671555633 596 .long 1072643824 597 .long 4241172637 598 .long 1072642914 599 .long 3213094278 600 .long 1072641996 601 .long 3832503688 602 .long 1072641069 603 .long 1754091534 604 .long 1072640134 605 .long 1221921804 606 .long 1072639190 607 .long 2184526489 608 .long 1072638237 609 .long 294902089 610 .long 1072637276 611 .long 4090375270 612 .long 1072636305 613 .long 632860906 614 .long 1072635327 615 .long 2753498702 616 .long 1072634339 617 .long 1808009252 618 .long 1072633343 619 .long 2036428672 620 .long 1072632338 621 .long 3383235626 622 .long 1072631324 623 .long 1497347484 624 .long 1072630302 625 .long 617018317 626 .long 1072629271 627 .long 684933058 628 .long 1072628231 629 .long 1643170798 630 .long 1072627182 631 .long 3011066360 632 .long 1072625592 633 .long 957158713 634 .long 1072623442 635 .long 1390907941 636 .long 1072621256 637 .long 3819155270 638 .long 1072619034 639 .long 3443571196 640 .long 1072616777 641 .long 4045412458 642 .long 1072614484 643 .long 805503923 644 .long 1072612156 645 .long 1778922015 646 .long 1072609791 647 .long 2125033665 648 .long 1072607390 649 .long 1287203863 650 .long 1072604953 651 .long 2992629568 652 .long 1072602479 653 .long 2367267127 654 .long 1072599969 655 .long 3115526047 656 .long 1072597422 657 .long 340219539 658 .long 1072594839 659 .long 2017215719 660 .long 1072592218 661 .long 3225443424 662 .long 1072589560 663 .long 3326565673 664 .long 1072586865 665 .long 1669811211 666 .long 1072584133 667 .long 1886735022 668 .long 1072581363 669 .long 3301071171 670 .long 1072578555 671 .long 928514283 672 .long 1072575710 673 .long 2656364059 674 .long 1072572826 675 .long 3473490507 676 .long 1072569904 677 .long 2649965606 678 .long 1072566944 679 .long 3736819052 680 .long 1072563945 681 .long 1680885175 682 .long 1072560908 683 .long 4413771 684 .long 1072557832 685 .long 2214869753 686 .long 1072554716 687 .long 3214725184 688 .long 1072551561 689 .long 2186079903 690 .long 1072548367 691 .long 2590372131 692 .long 1072545133 693 .long 3578146079 694 .long 1072541859 695 .long 4283712755 696 .long 1072538545 697 .long 3824834510 698 .long 1072535191 699 .long 1302400298 700 .long 1072531797 701 .long 95058636 702 .long 1072528362 703 .long 3563906063 704 .long 1072524885 705 .long 2167230730 706 .long 1072521368 707 .long 3524918334 708 .long 1072517809 709 .long 2353304918 710 .long 1072514209 711 .long 1939625839 712 .long 1072510567 713 .long 1256714581 714 .long 1072506883 715 .long 3552525848 716 .long 1072503156 717 .long 3464809522 718 .long 1072499387 719 .long 4200542593 720 .long 1072495575 721 .long 355609124 722 .long 1072491721 723 .long 3684139099 724 .long 1072487822 725 .long 148355918 726 .long 1072483881 727 .long 1457689242 728 .long 1072479895 729 .long 2118591596 730 .long 1072475865 731 .long 908848089 732 .long 1072471791 733 .long 877032689 734 .long 1072467672 735 .long 752012304 736 .long 1072463508 737 .long 3532301749 738 .long 1072459298 739 .long 3600563221 740 .long 1072455043 741 .long 3902857084 742 .long 1072450742 743 .long 3063101036 744 .long 1072446395 745 .long 3972344374 746 .long 1072442001 747 .long 903183549 748 .long 1072437561 749 .long 983892938 750 .long 1072433073 751 .long 2722858568 752 .long 1072428537 753 .long 302790515 754 .long 1072423954 755 .long 759811057 756 .long 1072419322 757 .long 2507809922 758 .long 1072414641 759 .long 2388408813 760 .long 1072407528 761 .long 2084492942 762 .long 1072397870 763 .long 2435703301 764 .long 1072388010 765 .long 1935433360 766 .long 1072377945 767 .long 2742047290 768 .long 1072367671 769 .long 2053284205 770 .long 1072357185 771 .long 657783367 772 .long 1072346483 773 .long 2893664841 774 .long 1072335560 775 .long 3718906405 776 .long 1072324413 777 .long 1547896303 778 .long 1072313038 779 .long 2494058440 780 .long 1072301429 781 .long 3133238742 782 .long 1072289582 783 .long 3327000086 784 .long 1072277492 785 .long 1860667274 786 .long 1072265154 787 .long 665340747 788 .long 1072252562 789 .long 443347841 790 .long 1072239710 791 .long 581282618 792 .long 1072226592 793 .long 3349780465 794 .long 1072213201 795 .long 914217606 796 .long 1072199532 797 .long 989797661 798 .long 1072185576 799 .long 945436416 800 .long 1072171326 801 .long 549291300 802 .long 1072156774 803 .long 1814636389 804 .long 1072141911 805 .long 239092858 806 .long 1072126729 807 .long 1794680724 808 .long 1072111217 809 .long 1241534678 810 .long 1072095366 811 .long 3366566214 812 .long 1072079164 813 .long 1244090828 814 .long 1072062601 815 .long 1708448120 816 .long 1072045663 817 .long 3544260650 818 .long 1072028337 819 .long 1402741403 820 .long 1072010610 821 .long 2551936888 822 .long 1071992465 823 .long 617669739 824 .long 1071973887 825 .long 794002186 826 .long 1071954857 827 .long 2021237693 828 .long 1071935356 829 .long 540450384 830 .long 1071915364 831 .long 1920555537 832 .long 1071894857 833 .long 2879585206 834 .long 1071873811 835 .long 3000237455 836 .long 1071852199 837 .long 3352974346 838 .long 1071829991 839 .long 569629937 840 .long 1071807155 841 .long 2077237208 842 .long 1071783653 843 .long 2284891805 844 .long 1071759446 845 .long 1226651784 846 .long 1071734489 847 .long 1102047405 848 .long 1071708731 849 .long 2009896384 850 .long 1071682115 851 .long 927419082 852 .long 1071654577 853 .long 85010366 854 .long 1071607413 855 .long 696431025 856 .long 1071548180 857 .long 2611410541 858 .long 1071486585 859 .long 2612593658 860 .long 1071422396 861 .long 3548155306 862 .long 1071355336 863 .long 3887997484 864 .long 1071285073 865 .long 244854763 866 .long 1071211202 867 .long 4214445648 868 .long 1071133216 869 .long 2303966727 870 .long 1071050478 871 .long 3991040013 872 .long 1070962152 873 .long 3126952278 874 .long 1070867118 875 .long 1817448378 876 .long 1070763804 877 .long 1793814864 878 .long 1070649884 879 .long 3507224072 880 .long 1070447193 881 .long 4027609105 882 .long 1070148772 883 .long 577507993 884 .long 1069779414 885 .long 2310232419 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1072197132 1759 .long 2563820917 1760 .long 1025225535 1761 .long 1804739840 1762 .long 1072219929 1763 .long 760038746 1764 .long 1024482855 1765 .long 1413746688 1766 .long 1072242971 1767 .long 3401734714 1768 .long 1025129838 1769 .long 821409536 1770 .long 1072266269 1771 .long 3729772551 1772 .long 1025484796 1773 .long 3031825664 1774 .long 1072289834 1775 .long 122256749 1776 .long 1024752594 1777 .long 1710784256 1778 .long 1072313680 1779 .long 1518205483 1780 .long 1024724809 1781 .long 3025265152 1782 .long 1072337819 1783 .long 409951989 1784 .long 1022835555 1785 .long 287769088 1786 .long 1072362267 1787 .long 800355594 1788 .long 1022484850 1789 .long 198179840 1790 .long 1072387038 1791 .long 3502926213 1792 .long 1024209373 1793 .long 1909130496 1794 .long 1072412149 1795 .long 3064694319 1796 .long 1025380823 1797 .long 1941732096 1798 .long 1072437619 1799 .long 4112930390 1800 .long 1024294679 1801 .long 3492010496 1802 .long 1072463467 1803 .long 2684918107 1804 .long 1023220233 1805 .long 81959680 1806 .long 1072489716 1807 .long 220021366 1808 .long 1020635131 1809 .long 2297837056 1810 .long 1072516387 1811 .long 4027683826 1812 .long 1021041185 1813 .long 270404096 1814 .long 1072543508 1815 .long 2012766065 1816 .long 1021780753 1817 .long 3667376896 1818 .long 1072571105 1819 .long 2727981522 1820 .long 1023009874 1821 .long 330400256 1822 .long 1072599212 1823 .long 2940017003 1824 .long 1025393439 1825 .long 1119293952 1826 .long 1072627861 1827 .long 1608550416 1828 .long 1022675612 1829 .long 3536155904 1830 .long 1072657091 1831 .long 349665778 1832 .long 1025156751 1833 .long 3078046720 1834 .long 1072686946 1835 .long 2016159996 1836 .long 1022193169 1837 .long 455228416 1838 .long 1072705361 1839 .long 1908539328 1840 .long 1026126332 1841 .long 1871505664 1842 .long 1072720988 1843 .long 2784700894 1844 .long 1025922277 1845 .long 1630994432 1846 .long 1072737010 1847 .long 361107678 1848 .long 1022887244 1849 .long 2084558336 1850 .long 1072753462 1851 .type Tbl_addr,@object 1852 .size Tbl_addr,3840 1853 .space 768, 0x00 # pad 1854 .align 16 1855 cv: 1856 .long 0 1857 .long 0 1858 .long 1431655765 1859 .long 3217380693 1860 .long 858993459 1861 .long 3216192307 1862 .long 3067833783 1863 .long 3215383405 1864 .type cv,@object 1865 .size cv,32 1866 .align 16 1867 PI_BY_2: 1868 .long 856972295 1869 .long 1016178214 1870 .long 1413754136 1871 .long 1073291771 1872 .type PI_BY_2,@object 1873 .size PI_BY_2,16 1874 .align 16 1875 NEG_PI: 1876 .long 856972295 1877 .long 3164710438 1878 .long 1413754136 1879 .long 3221823995 1880 .type NEG_PI,@object 1881 .size NEG_PI,16 1882 .align 16 1883 cv2: 1884 .long 780903145 1885 .long 1066854586 1886 .long 858993459 1887 .long 1068708659 1888 .long 3340530119 1889 .long 1067392113 1890 .long 1431655765 1891 .long 1069897045 1892 .long 1321528399 1893 .long 1066517740 1894 .long 3067833783 1895 .long 1067899757 1896 .long 2021159460 1897 .long 1065855096 1898 .long 2576980378 1899 .long 1066178969 1900 .type cv2,@object 1901 .size cv2,64 1902 .align 16 1903 HALFMASK: 1904 .long 4160749568 1905 .long 4294967295 1906 .long 4160749568 1907 .long 4294967295 1908 .type HALFMASK,@object 1909 .size HALFMASK,16 1910 .align 16 1911 PI: 1912 .long 856972295 1913 .long 1017226790 1914 .long 1413754136 1915 .long 1074340347 1916 .type PI,@object 1917 .size PI,16 1918 .align 4 1919 ONEMASK: 1920 .long 0 1921 .long 1072693248 1922 .type ONEMASK,@object 1923 .size ONEMASK,8 1924 .align 4 1925 TMASK: 1926 .long 0 1927 .long 4294950912 1928 .type TMASK,@object 1929 .size TMASK,8 1930 .align 4 1931 ONE_BY_2: 1932 .long 0 1933 .long 1071644672 1934 .type ONE_BY_2,@object 1935 .size ONE_BY_2,8 1936 .data 1937 .section .note.GNU-stack, "" 1938 // -- Begin DWARF2 SEGMENT .eh_frame 1939 .section .eh_frame,"a",@progbits 1940 .eh_frame_seg: 1941 .align 1 1942 .4byte 0x00000014 1943 .8byte 0x00527a0100000000 1944 .8byte 0x08070c1b01107801 1945 .4byte 0x00000190 1946 .4byte 0x0000001c 1947 .4byte 0x0000001c 1948 .4byte ..___tag_value_acos.1-. 1949 .4byte ..___tag_value_acos.5-..___tag_value_acos.1 1950 .2byte 0x0400 1951 .4byte ..___tag_value_acos.3-..___tag_value_acos.1 1952 .2byte 0x200e 1953 .byte 0x04 1954 .4byte ..___tag_value_acos.4-..___tag_value_acos.3 1955 .2byte 0x080e 1956 .byte 0x00 1957 # End 1958
