/* 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 // --------------------- // // To compute acos(s), separate schemes are used when s is in different // intervals. // // |s| in [2^{-4}, sqrt(3)/2): // Let t=2^k*1.b1 b2..b6 1, where s=2^k*1.b1 b2 .. b52 // acos(s)=pi/2-asin(t)-asin(r), where r=s*sqrt(1-t^2)-t*sqrt(1-s^2) // asin(r)-r evaluated as 7-degree polynomial (c3*r^3+c5*r^5+c7*r^7) // For the first degree term, r is evaluated as // R=(s^2-t^2)/(sqrt(1-t^2)*s+sqrt(1-s^2)*t) // (sqrt(1-t^2) read from table) // The main source of error is still R (may still be affected by up to 3 ulps // of rounding error). The table size must be sufficiently large, to minimize // this effect. // // |s| in [sqrt(3)/2, 255/256): // Let t=2^k*1.b1 b2..b6 1, where sqrt(1-s^2)=2^k*1.b1 b2 .. b52 (rounded) // acos(|s|)=asin(t)-asin(r), r=s*t-sqrt(1-s^2)*sqrt(1-t^2) // acos(-|s|)=pi-acos(|s|) // (The -PI constant, or 0, is added to the result. The sign is set at // the end) // asin(r) evaluated as a polynomial (same as above) // The first degree term is evaluated as // r=(s^2+t^2-1)/(s*t+sqrt(1-s^2)*sqrt(1-t^2)) // // |s|<2^{-4}: acos(s)=pi/2-asin(s) // evaluate asin(s) as 13-degree polynomial // // |s| in [255/256,1): acos(|s|)=2*asin(q), where q=sqrt((1-|s|)/2) // asin(q) is evaluated as 13-degree polynomial // q^2=(1-|s|)/2 is obtained in advance // 2*q*eps ~ ((1-|s|)/2-q^2)/q used for first term // acos(-|s|)=pi-acos(|s|) // (The -PI constant, or 0, is added to the result. The sign is set at // the end) // // Special cases: // acos(NaN) = quiet NaN, and raise invalid exception // acos(INF) = QNaN and raise invalid exception // acos(x) = QNaN and raise invalid exception, for |x|>1.0 // acos(1) = +0 // /******************************************************************************/ #include # -- Begin acos ENTRY(acos) # parameter 1: %xmm0 ..B1.1: ..___tag_value_acos.1: subq $24, %rsp ..___tag_value_acos.3: movsd %xmm0, (%rsp) ..B1.2: movsd ABSVALMASK(%rip), %xmm4 movsd ONEMASK(%rip), %xmm3 xorpd %xmm5, %xmm5 movsd TMASK(%rip), %xmm2 movq %xmm0, %xmm1 psrlq $44, %xmm0 movd %xmm0, %edx movq %xmm1, %xmm7 movl $8192, %ecx pinsrw $2, %ecx, %xmm5 movq %xmm1, %xmm0 movl $524287, %eax andl %edx, %eax subl $260864, %eax cmpl $955, %eax jae .L_2TAG_PACKET_0.0.2 mulsd %xmm1, %xmm1 andl $65535, %edx subsd %xmm1, %xmm3 sqrtsd %xmm3, %xmm3 andpd %xmm7, %xmm2 andl $-4, %edx subl $64256, %edx lea T_table(%rip), %r8 movsd (%r8,%rdx,2), %xmm1 orpd %xmm5, %xmm2 lea Tbl_addr(%rip), %r8 movapd (%r8,%rdx,4), %xmm4 movq %xmm7, %xmm6 addsd %xmm2, %xmm7 subsd %xmm2, %xmm0 mulsd %xmm0, %xmm7 mulsd %xmm1, %xmm6 mulsd %xmm2, %xmm3 movq %xmm6, %xmm1 addsd %xmm3, %xmm6 divsd %xmm6, %xmm7 movsd 24+cv(%rip), %xmm0 movsd 8+cv(%rip), %xmm5 subsd %xmm3, %xmm1 psrlq $63, %xmm2 movq %xmm1, %xmm3 psllq $63, %xmm2 mulsd %xmm1, %xmm1 pshufd $68, %xmm2, %xmm2 movsd 16+cv(%rip), %xmm6 mulsd %xmm1, %xmm3 mulsd %xmm1, %xmm0 xorpd %xmm2, %xmm4 mulsd %xmm3, %xmm5 subpd PI_BY_2(%rip), %xmm4 mulsd %xmm1, %xmm3 addsd %xmm6, %xmm0 mulsd %xmm3, %xmm0 subsd %xmm4, %xmm5 pshufd $238, %xmm4, %xmm4 addsd %xmm5, %xmm0 subsd %xmm7, %xmm0 subsd %xmm4, %xmm0 jmp ..B1.5 .L_2TAG_PACKET_0.0.2: subl $955, %eax cmpl $65, %eax jae .L_2TAG_PACKET_1.0.2 psrlq $38, %xmm7 psllq $38, %xmm7 pmovmskb %xmm0, %eax andnpd %xmm0, %xmm4 subsd %xmm7, %xmm1 movq %xmm7, %xmm6 mulsd %xmm7, %xmm7 addsd %xmm6, %xmm0 orpd %xmm4, %xmm5 subsd %xmm7, %xmm3 mulsd %xmm1, %xmm0 movq %xmm3, %xmm4 subsd %xmm0, %xmm3 sqrtsd %xmm3, %xmm3 andl $128, %eax shrl $7, %eax negl %eax movq %xmm3, %xmm7 andpd %xmm3, %xmm2 psllq $2, %xmm3 pextrw $3, %xmm3, %edx orpd %xmm5, %xmm2 movd %eax, %xmm3 pshufd $0, %xmm3, %xmm3 subl $65216, %edx addl %edx, %edx lea T_table(%rip), %r8 mulsd (%r8,%rdx,4), %xmm7 mulsd %xmm2, %xmm6 mulsd %xmm2, %xmm1 mulsd %xmm2, %xmm2 subsd %xmm7, %xmm6 andpd NEG_PI(%rip), %xmm3 addsd %xmm1, %xmm6 subsd %xmm2, %xmm4 addsd %xmm7, %xmm7 movsd 8+cv(%rip), %xmm5 subsd %xmm0, %xmm4 addsd %xmm6, %xmm7 movsd 24+cv(%rip), %xmm0 divsd %xmm7, %xmm4 movsd 16+cv(%rip), %xmm2 lea Tbl_addr(%rip), %r8 addpd (%r8,%rdx,8), %xmm3 movq %xmm6, %xmm1 mulsd %xmm6, %xmm6 mulsd %xmm6, %xmm0 mulsd %xmm6, %xmm1 mulsd %xmm1, %xmm5 mulsd %xmm6, %xmm1 addsd %xmm2, %xmm0 pxor %xmm6, %xmm6 mulsd %xmm1, %xmm0 addsd %xmm3, %xmm5 addsd %xmm5, %xmm0 andl $32768, %eax pinsrw $3, %eax, %xmm6 movq %xmm4, %xmm5 pshufd $238, %xmm3, %xmm3 addsd %xmm3, %xmm4 subsd %xmm4, %xmm3 addsd %xmm3, %xmm5 addsd %xmm5, %xmm0 addsd %xmm4, %xmm0 xorpd %xmm6, %xmm0 jmp ..B1.5 .L_2TAG_PACKET_1.0.2: addl $15291, %eax cmpl $14336, %eax jae .L_2TAG_PACKET_2.0.2 unpcklpd %xmm0, %xmm0 movapd cv2(%rip), %xmm6 unpcklpd %xmm0, %xmm1 movapd 16+cv2(%rip), %xmm2 movapd 32+cv2(%rip), %xmm4 mulpd %xmm0, %xmm0 movapd PI_BY_2(%rip), %xmm5 mulpd %xmm0, %xmm1 mulpd %xmm0, %xmm6 mulpd %xmm0, %xmm0 movq %xmm1, %xmm3 mulsd %xmm1, %xmm1 addpd %xmm2, %xmm6 mulpd %xmm0, %xmm4 mulsd %xmm3, %xmm1 addpd %xmm4, %xmm6 pshufd $238, %xmm5, %xmm0 mulpd %xmm6, %xmm1 pshufd $238, %xmm5, %xmm6 subsd %xmm7, %xmm0 pshufd $238, %xmm1, %xmm2 subsd %xmm1, %xmm5 subsd %xmm0, %xmm6 subsd %xmm2, %xmm5 subsd %xmm6, %xmm7 subsd %xmm7, %xmm5 addsd %xmm5, %xmm0 jmp ..B1.5 .L_2TAG_PACKET_2.0.2: subl $15356, %eax cmpl $4, %eax jae .L_2TAG_PACKET_3.0.2 xorpd %xmm6, %xmm6 andpd ABSVALMASK(%rip), %xmm7 movsd ONE_BY_2(%rip), %xmm4 movapd cv2(%rip), %xmm1 mulsd %xmm4, %xmm7 movapd 16+cv2(%rip), %xmm2 subsd %xmm7, %xmm4 movapd 32+cv2(%rip), %xmm3 pshufd $68, %xmm4, %xmm7 sqrtsd %xmm4, %xmm4 mulpd %xmm7, %xmm1 pshufd $68, %xmm7, %xmm5 pextrw $3, %xmm0, %eax mulpd %xmm7, %xmm7 addpd %xmm1, %xmm2 movsd HALFMASK(%rip), %xmm1 mulpd %xmm7, %xmm3 cmpsd $1, %xmm6, %xmm0 mulsd %xmm5, %xmm7 addpd %xmm3, %xmm2 pshufd $68, %xmm0, %xmm0 mulsd %xmm7, %xmm2 andpd NEG_PI(%rip), %xmm0 mulpd %xmm5, %xmm2 andpd %xmm4, %xmm1 pshufd $68, %xmm4, %xmm3 subsd %xmm1, %xmm4 addsd %xmm3, %xmm3 mulsd %xmm1, %xmm1 subsd %xmm4, %xmm3 subsd %xmm1, %xmm5 mulsd %xmm3, %xmm4 pshufd $238, %xmm3, %xmm3 subsd %xmm4, %xmm5 divsd %xmm3, %xmm5 addpd %xmm3, %xmm3 mulpd %xmm3, %xmm2 pshufd $238, %xmm2, %xmm4 addsd %xmm0, %xmm2 andl $32768, %eax pinsrw $3, %eax, %xmm6 pshufd $238, %xmm0, %xmm0 addsd %xmm4, %xmm2 addsd %xmm5, %xmm2 addsd %xmm3, %xmm2 addsd %xmm2, %xmm0 xorpd %xmm6, %xmm0 jmp ..B1.5 .L_2TAG_PACKET_3.0.2: addl $261884, %eax cmpl $261888, %eax jb .L_2TAG_PACKET_4.0.2 movd %xmm7, %ecx psrlq $32, %xmm7 movd %xmm7, %edx andl $2147483647, %edx movl $1072693248, %eax subl %edx, %eax orl %ecx, %eax cmpl $0, %eax je .L_2TAG_PACKET_5.0.2 movsd (%rsp), %xmm2 movd %xmm2, %edx psrlq $32, %xmm2 movd %xmm2, %ecx andl $2147483647, %ecx subl $1, %edx sbbl $2146435072, %ecx cmpl $0, %ecx jge .L_2TAG_PACKET_6.0.2 xorpd %xmm1, %xmm1 xorpd %xmm0, %xmm0 movl $32752, %edx pinsrw $3, %edx, %xmm1 mulsd %xmm1, %xmm0 jmp .L_2TAG_PACKET_7.0.2 .L_2TAG_PACKET_5.0.2: pextrw $1, %xmm7, %edx shrl $15, %edx negl %edx movd %edx, %xmm7 pshufd $0, %xmm7, %xmm7 movsd PI(%rip), %xmm2 movsd 8+PI(%rip), %xmm0 andpd %xmm7, %xmm2 andpd %xmm7, %xmm0 addsd %xmm2, %xmm0 jmp ..B1.5 .L_2TAG_PACKET_4.0.2: movsd PI_BY_2(%rip), %xmm2 movsd 8+PI_BY_2(%rip), %xmm0 addsd %xmm2, %xmm0 jmp ..B1.5 .L_2TAG_PACKET_6.0.2: xorpd %xmm6, %xmm6 addsd %xmm6, %xmm0 jmp ..B1.5 .L_2TAG_PACKET_7.0.2: movq %xmm0, 8(%rsp) ..B1.3: movq 8(%rsp), %xmm0 .L_2TAG_PACKET_8.0.2: ..B1.5: addq $24, %rsp ..___tag_value_acos.4: ret ..___tag_value_acos.5: END(acos) # -- End acos .section .rodata, "a" .align 16 .align 16 ABSVALMASK: .long 4294967295 .long 2147483647 .long 0 .long 0 .type ABSVALMASK,@object .size ABSVALMASK,16 .align 16 T_table: .long 2642784509 .long 1072689083 .long 1514442531 .long 1072688953 .long 333108933 .long 1072688821 .long 3392112024 .long 1072688686 .long 2099852862 .long 1072688550 .long 749609004 .long 1072688412 .long 3634632596 .long 1072688271 .long 2163248461 .long 1072688129 .long 628657846 .long 1072687985 .long 3324036511 .long 1072687838 .long 1657632815 .long 1072687690 .long 4217538760 .long 1072687539 .long 2411951597 .long 1072687387 .long 533944872 .long 1072687233 .long 2876566508 .long 1072687076 .long 847936891 .long 1072686918 .long 3036019913 .long 1072686757 .long 848884575 .long 1072686595 .long 2874443326 .long 1072686430 .long 520713666 .long 1072686264 .long 2375556481 .long 1072686095 .long 4141904948 .long 1072685924 .long 1522666382 .long 1072685752 .long 3105624104 .long 1072685577 .long 298666327 .long 1072685401 .long 1689524500 .long 1072685222 .long 2981002200 .long 1072685041 .long 4170844284 .long 1072684858 .long 961802263 .long 1072684674 .long 1941503454 .long 1072684487 .long 2812647170 .long 1072684298 .long 3572873869 .long 1072684107 .long 4219797823 .long 1072683914 .long 456039788 .long 1072683720 .long 869096151 .long 1072683523 .long 1161535119 .long 1072683324 .long 1330865866 .long 1072683123 .long 1374571204 .long 1072682920 .long 1290107538 .long 1072682715 .long 1074904836 .long 1072682508 .long 726366587 .long 1072682299 .long 241869763 .long 1072682088 .long 3913732079 .long 1072681874 .long 3149342765 .long 1072681659 .long 2240966306 .long 1072681442 .long 1185873216 .long 1072681223 .long 4276274591 .long 1072681001 .long 2919452883 .long 1072680778 .long 1407565635 .long 1072680553 .long 4032743551 .long 1072680325 .long 2202188565 .long 1072680096 .long 207977577 .long 1072679865 .long 2342160518 .long 1072679631 .long 11858423 .long 1072679396 .long 1804034453 .long 1072679158 .long 3420722787 .long 1072678918 .long 563930456 .long 1072678677 .long 1820539192 .long 1072678433 .long 2892501606 .long 1072678187 .long 3776710320 .long 1072677939 .long 175063337 .long 1072677690 .long 674333171 .long 1072677438 .long 976363026 .long 1072677184 .long 1077935934 .long 1072676928 .long 1921075490 .long 1072676540 .long 881493302 .long 1072676016 .long 3275752439 .long 1072675483 .long 486855588 .long 1072674943 .long 1077229111 .long 1072674394 .long 723950308 .long 1072673837 .long 3693582199 .long 1072673271 .long 1367335316 .long 1072672698 .long 2305837020 .long 1072672116 .long 2184358641 .long 1072671526 .long 972682840 .long 1072670928 .long 2935101762 .long 1072670321 .long 3745513263 .long 1072669706 .long 3372320886 .long 1072669083 .long 1783464620 .long 1072668452 .long 3241386215 .long 1072667812 .long 3418125284 .long 1072667164 .long 2280219148 .long 1072666508 .long 4088700758 .long 1072665843 .long 219227400 .long 1072665171 .long 3521816918 .long 1072664489 .long 1076205279 .long 1072663800 .long 1436484616 .long 1072663102 .long 271362610 .long 1072662396 .long 1838996688 .long 1072661681 .long 1807122518 .long 1072660958 .long 137953542 .long 1072660227 .long 1088178584 .long 1072659487 .long 324057537 .long 1072658739 .long 2101288076 .long 1072657982 .long 2085133974 .long 1072657217 .long 235324451 .long 1072656444 .long 806051592 .long 1072655662 .long 3756033140 .long 1072654871 .long 453542543 .long 1072654073 .long 3741177327 .long 1072653265 .long 691216109 .long 1072652450 .long 4145223372 .long 1072651625 .long 1174439091 .long 1072650793 .long 324416139 .long 1072649952 .long 1550246310 .long 1072649102 .long 511524674 .long 1072648244 .long 1457248482 .long 1072647377 .long 45944955 .long 1072646502 .long 525537397 .long 1072645618 .long 2848440188 .long 1072644725 .long 2671555633 .long 1072643824 .long 4241172637 .long 1072642914 .long 3213094278 .long 1072641996 .long 3832503688 .long 1072641069 .long 1754091534 .long 1072640134 .long 1221921804 .long 1072639190 .long 2184526489 .long 1072638237 .long 294902089 .long 1072637276 .long 4090375270 .long 1072636305 .long 632860906 .long 1072635327 .long 2753498702 .long 1072634339 .long 1808009252 .long 1072633343 .long 2036428672 .long 1072632338 .long 3383235626 .long 1072631324 .long 1497347484 .long 1072630302 .long 617018317 .long 1072629271 .long 684933058 .long 1072628231 .long 1643170798 .long 1072627182 .long 3011066360 .long 1072625592 .long 957158713 .long 1072623442 .long 1390907941 .long 1072621256 .long 3819155270 .long 1072619034 .long 3443571196 .long 1072616777 .long 4045412458 .long 1072614484 .long 805503923 .long 1072612156 .long 1778922015 .long 1072609791 .long 2125033665 .long 1072607390 .long 1287203863 .long 1072604953 .long 2992629568 .long 1072602479 .long 2367267127 .long 1072599969 .long 3115526047 .long 1072597422 .long 340219539 .long 1072594839 .long 2017215719 .long 1072592218 .long 3225443424 .long 1072589560 .long 3326565673 .long 1072586865 .long 1669811211 .long 1072584133 .long 1886735022 .long 1072581363 .long 3301071171 .long 1072578555 .long 928514283 .long 1072575710 .long 2656364059 .long 1072572826 .long 3473490507 .long 1072569904 .long 2649965606 .long 1072566944 .long 3736819052 .long 1072563945 .long 1680885175 .long 1072560908 .long 4413771 .long 1072557832 .long 2214869753 .long 1072554716 .long 3214725184 .long 1072551561 .long 2186079903 .long 1072548367 .long 2590372131 .long 1072545133 .long 3578146079 .long 1072541859 .long 4283712755 .long 1072538545 .long 3824834510 .long 1072535191 .long 1302400298 .long 1072531797 .long 95058636 .long 1072528362 .long 3563906063 .long 1072524885 .long 2167230730 .long 1072521368 .long 3524918334 .long 1072517809 .long 2353304918 .long 1072514209 .long 1939625839 .long 1072510567 .long 1256714581 .long 1072506883 .long 3552525848 .long 1072503156 .long 3464809522 .long 1072499387 .long 4200542593 .long 1072495575 .long 355609124 .long 1072491721 .long 3684139099 .long 1072487822 .long 148355918 .long 1072483881 .long 1457689242 .long 1072479895 .long 2118591596 .long 1072475865 .long 908848089 .long 1072471791 .long 877032689 .long 1072467672 .long 752012304 .long 1072463508 .long 3532301749 .long 1072459298 .long 3600563221 .long 1072455043 .long 3902857084 .long 1072450742 .long 3063101036 .long 1072446395 .long 3972344374 .long 1072442001 .long 903183549 .long 1072437561 .long 983892938 .long 1072433073 .long 2722858568 .long 1072428537 .long 302790515 .long 1072423954 .long 759811057 .long 1072419322 .long 2507809922 .long 1072414641 .long 2388408813 .long 1072407528 .long 2084492942 .long 1072397870 .long 2435703301 .long 1072388010 .long 1935433360 .long 1072377945 .long 2742047290 .long 1072367671 .long 2053284205 .long 1072357185 .long 657783367 .long 1072346483 .long 2893664841 .long 1072335560 .long 3718906405 .long 1072324413 .long 1547896303 .long 1072313038 .long 2494058440 .long 1072301429 .long 3133238742 .long 1072289582 .long 3327000086 .long 1072277492 .long 1860667274 .long 1072265154 .long 665340747 .long 1072252562 .long 443347841 .long 1072239710 .long 581282618 .long 1072226592 .long 3349780465 .long 1072213201 .long 914217606 .long 1072199532 .long 989797661 .long 1072185576 .long 945436416 .long 1072171326 .long 549291300 .long 1072156774 .long 1814636389 .long 1072141911 .long 239092858 .long 1072126729 .long 1794680724 .long 1072111217 .long 1241534678 .long 1072095366 .long 3366566214 .long 1072079164 .long 1244090828 .long 1072062601 .long 1708448120 .long 1072045663 .long 3544260650 .long 1072028337 .long 1402741403 .long 1072010610 .long 2551936888 .long 1071992465 .long 617669739 .long 1071973887 .long 794002186 .long 1071954857 .long 2021237693 .long 1071935356 .long 540450384 .long 1071915364 .long 1920555537 .long 1071894857 .long 2879585206 .long 1071873811 .long 3000237455 .long 1071852199 .long 3352974346 .long 1071829991 .long 569629937 .long 1071807155 .long 2077237208 .long 1071783653 .long 2284891805 .long 1071759446 .long 1226651784 .long 1071734489 .long 1102047405 .long 1071708731 .long 2009896384 .long 1071682115 .long 927419082 .long 1071654577 .long 85010366 .long 1071607413 .long 696431025 .long 1071548180 .long 2611410541 .long 1071486585 .long 2612593658 .long 1071422396 .long 3548155306 .long 1071355336 .long 3887997484 .long 1071285073 .long 244854763 .long 1071211202 .long 4214445648 .long 1071133216 .long 2303966727 .long 1071050478 .long 3991040013 .long 1070962152 .long 3126952278 .long 1070867118 .long 1817448378 .long 1070763804 .long 1793814864 .long 1070649884 .long 3507224072 .long 1070447193 .long 4027609105 .long 1070148772 .long 577507993 .long 1069779414 .long 2310232419 .long 1068931829 .type T_table,@object .size T_table,2048 .align 16 Tbl_addr: .long 3822952792 .long 1021639372 .long 182792448 .long 1068507836 .long 2264213271 .long 1019558908 .long 649052928 .long 1068524253 .long 1797139609 .long 1022295143 .long 1243095296 .long 1068540671 .long 1415938756 .long 1021439537 .long 2033294592 .long 1068557090 .long 2356809978 .long 1021777916 .long 3088063744 .long 1068573510 .long 2669055318 .long 1022124482 .long 180888576 .long 1068589932 .long 3566445325 .long 1021358712 .long 1970196992 .long 1068606354 .long 896980323 .long 1021319659 .long 4229555456 .long 1068622777 .long 436049712 .long 1021319758 .long 2732572160 .long 1068639202 .long 583123209 .long 1020797960 .long 1842831872 .long 1068655628 .long 1370449804 .long 1021429270 .long 1628994560 .long 1068672055 .long 2411391464 .long 1021057980 .long 2159763712 .long 1068688483 .long 1208692749 .long 1021943903 .long 3503886336 .long 1068704912 .long 538793309 .long 1019744063 .long 1435187200 .long 1068721343 .long 4085087612 .long 1020608419 .long 317469952 .long 1068737775 .long 144386942 .long 1021440732 .long 219617280 .long 1068754208 .long 2940088361 .long 1019981122 .long 1210558208 .long 1068770642 .long 2176850347 .long 1018373705 .long 3359268352 .long 1068787077 .long 2395611454 .long 1021889042 .long 2439803648 .long 1068803514 .long 1650705253 .long 1020227966 .long 2816203520 .long 1068819952 .long 3702166386 .long 1019379914 .long 262620672 .long 1068836392 .long 1855649370 .long 1020453124 .long 3438159616 .long 1068852832 .long 923063860 .long 1019273834 .long 3822105856 .long 1068869274 .long 4289947947 .long 1019434249 .long 1483729920 .long 1068885718 .long 787455814 .long 1020738379 .long 787321088 .long 1068902163 .long 3321653337 .long 1021842569 .long 1802253312 .long 1068918609 .long 2653633526 .long 1021821525 .long 302985984 .long 1068935057 .long 161272028 .long 1021655149 .long 653966080 .long 1068951506 .long 2566098667 .long 1020066219 .long 2924727296 .long 1068967956 .long 3646493722 .long 1014292285 .long 2889890304 .long 1068984408 .long 1081009196 .long 1022189620 .long 619098112 .long 1069000862 .long 4011643355 .long 1021773297 .long 477017600 .long 1069017317 .long 4030305534 .long 1021292252 .long 2533403904 .long 1069033773 .long 2645187591 .long 1019527099 .long 2563102208 .long 1069050231 .long 3857293792 .long 1022311697 .long 635982336 .long 1069066691 .long 3625936637 .long 1017511744 .long 1116940800 .long 1069083152 .long 3653872993 .long 1022016631 .long 4075964160 .long 1069099614 .long 2468900271 .long 1021769532 .long 993165568 .long 1069116079 .long 1358104224 .long 1021199776 .long 528586752 .long 1069132545 .long 2200950332 .long 1022024872 .long 2752395776 .long 1069149012 .long 3197072454 .long 1017751319 .long 3439855616 .long 1069165481 .long 1651081806 .long 1020809338 .long 2661257728 .long 1069181952 .long 539032752 .long 1021728805 .long 486957312 .long 1069198425 .long 3136045149 .long 1016888671 .long 1282340352 .long 1069214899 .long 2593963259 .long 1018956103 .long 822921728 .long 1069231375 .long 2146032737 .long 1022306465 .long 3474216192 .long 1069247852 .long 3976811625 .long 1021350207 .long 716902656 .long 1069264332 .long 718267222 .long 1018624727 .long 1211594496 .long 1069280813 .long 1485641389 .long 1018447451 .long 734070272 .long 1069297296 .long 354455128 .long 1021341291 .long 3650110720 .long 1069313780 .long 682185947 .long 1021651853 .long 1440663040 .long 1069330267 .long 3558574550 .long 1021615110 .long 2766612224 .long 1069346755 .long 874607978 .long 1017746872 .long 3404011008 .long 1069363245 .long 4154988502 .long 1021439906 .long 3423949056 .long 1069379737 .long 2263202309 .long 1021479615 .long 2897587712 .long 1069396231 .long 2562065031 .long 1022090363 .long 1896159232 .long 1069412727 .long 3836237663 .long 1019867288 .long 490968576 .long 1069429225 .long 3322056743 .long 1006752762 .long 3048360192 .long 1069445724 .long 1152314833 .long 1013122252 .long 1049850624 .long 1069462226 .long 3601590727 .long 1022214610 .long 3156899584 .long 1069478729 .long 1855169970 .long 1019487271 .long 851173376 .long 1069495235 .long 312649594 .long 1020868604 .long 2794281728 .long 1069511742 .long 1093490181 .long 1020777577 .long 468042496 .long 1069528252 .long 1152540679 .long 1021403732 .long 2534219264 .long 1069544763 .long 2292126035 .long 1021872430 .long 1376146432 .long 1069558527 .long 3293753641 .long 1020500454 .long 4175442432 .long 1069575044 .long 3626347564 .long 1021610969 .long 3523113472 .long 1069591566 .long 339956500 .long 1021119039 .long 4003350528 .long 1069608092 .long 3429333082 .long 1022813542 .long 1611067392 .long 1069624623 .long 2298017544 .long 1021977587 .long 931782144 .long 1069641158 .long 2164684743 .long 1021250988 .long 2256725504 .long 1069657697 .long 1138762335 .long 1021443776 .long 1582853120 .long 1069674241 .long 1084010382 .long 1022994693 .long 3497758720 .long 1069690789 .long 406366244 .long 1022713586 .long 3999816960 .long 1069707342 .long 1488723042 .long 1023381290 .long 3383096064 .long 1069723900 .long 2541558953 .long 1019137887 .long 1942403584 .long 1069740463 .long 1879620343 .long 1022653642 .long 4268263680 .long 1069757030 .long 3039077047 .long 1022252545 .long 2067062272 .long 1069773603 .long 4190670677 .long 1020725863 .long 4225828096 .long 1069790180 .long 1998567321 .long 1022014385 .long 2452507136 .long 1069806763 .long 1511628873 .long 1021900300 .long 1340746240 .long 1069823351 .long 788367341 .long 1022726208 .long 1190035456 .long 1069839944 .long 3856337230 .long 1021834118 .long 2300688384 .long 1069856542 .long 3211396579 .long 1022621365 .long 678886400 .long 1069873146 .long 4001011887 .long 1022042646 .long 921594112 .long 1069889755 .long 557811968 .long 1023065533 .long 3331668992 .long 1069906369 .long 1877060679 .long 1022419742 .long 3917875200 .long 1069922989 .long 1181055171 .long 1022752712 .long 2984829696 .long 1069939615 .long 4294526932 .long 1021499988 .long 838049024 .long 1069956247 .long 3658081878 .long 1022957952 .long 2078928384 .long 1069972884 .long 820353701 .long 1019391107 .long 2719854336 .long 1069989527 .long 1644022489 .long 1023378240 .long 3069117696 .long 1070006176 .long 2771393702 .long 1019319954 .long 3435962368 .long 1070022831 .long 3876394145 .long 1023024433 .long 4130595328 .long 1070039492 .long 1630447748 .long 1021465882 .long 1169236224 .long 1070056160 .long 2828355997 .long 1020458120 .long 3453997312 .long 1070072833 .long 164091641 .long 1020388279 .long 2708127744 .long 1070089513 .long 3036550223 .long 1023328684 .long 3540797696 .long 1070106199 .long 3710949463 .long 1022568805 .long 1972276736 .long 1070122892 .long 3885277950 .long 1019761674 .long 2613815552 .long 1070139591 .long 2764165077 .long 1022921023 .long 1487791616 .long 1070156297 .long 1330644769 .long 1023162679 .long 3207593472 .long 1070173009 .long 3911007221 .long 1022993496 .long 3797764608 .long 1070189728 .long 979712598 .long 1022554580 .long 3578920448 .long 1070206454 .long 2825738223 .long 1020223708 .long 2872795648 .long 1070223187 .long 392451124 .long 1022666279 .long 2002258432 .long 1070239927 .long 3730407632 .long 1023148291 .long 1291326464 .long 1070256674 .long 3723802980 .long 1022514089 .long 1065180928 .long 1070273428 .long 2635617463 .long 1022654470 .long 1650181632 .long 1070290189 .long 2061982883 .long 1022853411 .long 3373882880 .long 1070306957 .long 319732785 .long 1022017175 .long 2270081280 .long 1070323733 .long 2237757411 .long 1023064087 .long 2963732736 .long 1070340516 .long 468839165 .long 1023293774 .long 1491099904 .long 1070357307 .long 1502657946 .long 1021533479 .long 2479636480 .long 1070374105 .long 482913562 .long 1021986286 .long 1968133632 .long 1070390911 .long 3281474337 .long 1022646400 .long 291639040 .long 1070407725 .long 2453320259 .long 1022812423 .long 2081472512 .long 1070424546 .long 2939989570 .long 1023091888 .long 3380340480 .long 1070441375 .long 2850707499 .long 1021921109 .long 232287488 .long 1070458213 .long 3674625342 .long 1020725130 .long 1567614208 .long 1070475058 .long 9347334 .long 1022024009 .long 3433091072 .long 1070491911 .long 282524999 .long 1021433523 .long 1876877312 .long 1070508773 .long 3470449440 .long 1019309721 .long 1538472192 .long 1070525643 .long 2089486825 .long 1019698916 .long 2763830784 .long 1070542521 .long 443498115 .long 1020505194 .long 1605381632 .long 1070559408 .long 3018871601 .long 1022869913 .long 2706946048 .long 1070576303 .long 3936260892 .long 1023175875 .long 2123887360 .long 1070593207 .long 2994220655 .long 1022825948 .long 104015104 .long 1070603108 .long 335054493 .long 1023441853 .long 2904568832 .long 1070615800 .long 1451215633 .long 1023853857 .long 3456197120 .long 1070632739 .long 436334733 .long 1024026432 .long 252452352 .long 1070649697 .long 34596167 .long 1024031396 .long 3328018432 .long 1070666672 .long 2644547073 .long 1024296758 .long 1255829248 .long 1070683667 .long 552832586 .long 1023763122 .long 4097058560 .long 1070700680 .long 1955640623 .long 1021394654 .long 451770112 .long 1070717714 .long 3428903777 .long 1022941142 .long 408920832 .long 1070734767 .long 165503263 .long 1023894958 .long 1186960640 .long 1070751840 .long 435826450 .long 1024026134 .long 19078656 .long 1070768934 .long 1834169749 .long 1022899284 .long 2743490304 .long 1070786048 .long 494581074 .long 1018818479 .long 2328961024 .long 1070803184 .long 2987908834 .long 1022581110 .long 350011392 .long 1070820342 .long 240771184 .long 1024143083 .long 2692326912 .long 1070837521 .long 666056837 .long 1022394776 .long 2373274368 .long 1070854723 .long 2484337770 .long 1024228156 .long 1017131520 .long 1070871948 .long 3285648279 .long 1024025789 .long 265558272 .long 1070889196 .long 392241896 .long 1024252809 .long 1778008064 .long 1070906467 .long 1536107943 .long 1023949300 .long 2937184768 .long 1070923762 .long 3541062251 .long 1019448646 .long 1144442880 .long 1070941082 .long 3691683781 .long 1022123948 .long 2410165504 .long 1070958426 .long 1804181960 .long 1023945221 .long 4174350848 .long 1070975795 .long 2016094861 .long 1021716585 .long 3897012480 .long 1070993190 .long 175294410 .long 1023703404 .long 3353623040 .long 1071010611 .long 167973242 .long 1023240839 .long 45671168 .long 1071028059 .long 2166856113 .long 1021565413 .long 86063872 .long 1071045533 .long 2676254727 .long 1023985299 .long 1019772672 .long 1071063034 .long 989043593 .long 1021549587 .long 414297344 .long 1071080563 .long 3960972046 .long 1024307251 .long 155173120 .long 1071098120 .long 1830919291 .long 1021592251 .long 2151562240 .long 1071115705 .long 405408666 .long 1023423128 .long 4041854720 .long 1071133319 .long 2043497827 .long 1024411503 .long 3489224192 .long 1071150963 .long 3072215864 .long 1022698635 .long 2477196288 .long 1071168637 .long 1812195139 .long 1022689192 .long 3015298816 .long 1071186341 .long 764841969 .long 1021027331 .long 2844731136 .long 1071204076 .long 2878117321 .long 1019116513 .long 4028950528 .long 1071221842 .long 698911452 .long 1023265602 .long 69441536 .long 1071239641 .long 3253467847 .long 1020795075 .long 1676209920 .long 1071257471 .long 4272431167 .long 1022873982 .long 2408752384 .long 1071275334 .long 648519100 .long 1024385717 .long 151623680 .long 1071293231 .long 345257017 .long 1019561408 .long 1410154240 .long 1071311161 .long 197863993 .long 1023224207 .long 4131351552 .long 1071329125 .long 2620801789 .long 1024411169 .long 1999664384 .long 1071347125 .long 3952692616 .long 1024168086 .long 1617668864 .long 1071365160 .long 3019889809 .long 1021907692 .long 1032074240 .long 1071383231 .long 59469899 .long 1023656194 .long 2619492096 .long 1071401338 .long 1417526820 .long 1021457783 .long 202429440 .long 1071419483 .long 2927667935 .long 1019175447 .long 525044224 .long 1071437665 .long 38166811 .long 1023981879 .long 1779258880 .long 1071455885 .long 481252500 .long 1023310234 .long 2195673600 .long 1071474144 .long 3962395981 .long 1021339088 .long 44573696 .long 1071492443 .long 3936281395 .long 1023014829 .long 2226905344 .long 1071510781 .long 1515320476 .long 1024320623 .long 2800512512 .long 1071529160 .long 1225403697 .long 1021081846 .long 161113600 .long 1071547581 .long 3064809733 .long 1024173917 .long 1338410240 .long 1071566043 .long 2027604973 .long 1024362526 .long 522433280 .long 1071584548 .long 2055171723 .long 1023858825 .long 539595776 .long 1071603096 .long 3868820135 .long 1022936424 .long 4264017664 .long 1071621687 .long 3228065145 .long 1023479578 .long 1733924096 .long 1071640324 .long 3511934475 .long 1022496355 .long 108880384 .long 1071651839 .long 615880967 .long 1023519706 .long 3517856512 .long 1071661202 .long 3113108559 .long 1025190289 .long 4043153152 .long 1071670589 .long 1571836218 .long 1023106116 .long 3251299072 .long 1071680000 .long 3444076102 .long 1022187841 .long 2736921600 .long 1071689435 .long 272771483 .long 1025095280 .long 3897698560 .long 1071703633 .long 2075390188 .long 1022489022 .long 3209485056 .long 1071722652 .long 1438094065 .long 1021844944 .long 3781432064 .long 1071741774 .long 1675017145 .long 1024143828 .long 2684184064 .long 1071761003 .long 2259963753 .long 1024731393 .long 1840489728 .long 1071780342 .long 3372883597 .long 1023431408 .long 3764087808 .long 1071799794 .long 3307523102 .long 1024485788 .long 3006232320 .long 1071819364 .long 3088971966 .long 1025213251 .long 3374881280 .long 1071839055 .long 834437749 .long 1025236452 .long 797284864 .long 1071858872 .long 3122663941 .long 1025320473 .long 545765120 .long 1071878818 .long 826539625 .long 1022450955 .long 107562240 .long 1071898898 .long 339584600 .long 1022481255 .long 2123649024 .long 1071919116 .long 3912959833 .long 1024321009 .long 1562385664 .long 1071939478 .long 2846067230 .long 1023343981 .long 2963085824 .long 1071959988 .long 954548627 .long 1021475211 .long 3325550592 .long 1071980652 .long 3459651155 .long 1025305573 .long 775752448 .long 1072001476 .long 3582746667 .long 1023859460 .long 3238590720 .long 1072022464 .long 634636162 .long 1024472353 .long 2758801920 .long 1072043624 .long 3078216319 .long 1025304516 .long 1370319104 .long 1072064962 .long 2570569078 .long 1025099442 .long 2615805184 .long 1072086484 .long 3729933412 .long 1024605112 .long 3077336576 .long 1072108198 .long 1948916066 .long 1024781603 .long 1099528192 .long 1072130112 .long 3139143157 .long 1023729360 .long 1231903232 .long 1072152233 .long 1349513477 .long 1024737515 .long 1507504128 .long 1072174570 .long 3484516322 .long 1024000959 .long 2214659840 .long 1072197132 .long 2563820917 .long 1025225535 .long 1804739840 .long 1072219929 .long 760038746 .long 1024482855 .long 1413746688 .long 1072242971 .long 3401734714 .long 1025129838 .long 821409536 .long 1072266269 .long 3729772551 .long 1025484796 .long 3031825664 .long 1072289834 .long 122256749 .long 1024752594 .long 1710784256 .long 1072313680 .long 1518205483 .long 1024724809 .long 3025265152 .long 1072337819 .long 409951989 .long 1022835555 .long 287769088 .long 1072362267 .long 800355594 .long 1022484850 .long 198179840 .long 1072387038 .long 3502926213 .long 1024209373 .long 1909130496 .long 1072412149 .long 3064694319 .long 1025380823 .long 1941732096 .long 1072437619 .long 4112930390 .long 1024294679 .long 3492010496 .long 1072463467 .long 2684918107 .long 1023220233 .long 81959680 .long 1072489716 .long 220021366 .long 1020635131 .long 2297837056 .long 1072516387 .long 4027683826 .long 1021041185 .long 270404096 .long 1072543508 .long 2012766065 .long 1021780753 .long 3667376896 .long 1072571105 .long 2727981522 .long 1023009874 .long 330400256 .long 1072599212 .long 2940017003 .long 1025393439 .long 1119293952 .long 1072627861 .long 1608550416 .long 1022675612 .long 3536155904 .long 1072657091 .long 349665778 .long 1025156751 .long 3078046720 .long 1072686946 .long 2016159996 .long 1022193169 .long 455228416 .long 1072705361 .long 1908539328 .long 1026126332 .long 1871505664 .long 1072720988 .long 2784700894 .long 1025922277 .long 1630994432 .long 1072737010 .long 361107678 .long 1022887244 .long 2084558336 .long 1072753462 .type Tbl_addr,@object .size Tbl_addr,3840 .space 768, 0x00 # pad .align 16 cv: .long 0 .long 0 .long 1431655765 .long 3217380693 .long 858993459 .long 3216192307 .long 3067833783 .long 3215383405 .type cv,@object .size cv,32 .align 16 PI_BY_2: .long 856972295 .long 1016178214 .long 1413754136 .long 1073291771 .type PI_BY_2,@object .size PI_BY_2,16 .align 16 NEG_PI: .long 856972295 .long 3164710438 .long 1413754136 .long 3221823995 .type NEG_PI,@object .size NEG_PI,16 .align 16 cv2: .long 780903145 .long 1066854586 .long 858993459 .long 1068708659 .long 3340530119 .long 1067392113 .long 1431655765 .long 1069897045 .long 1321528399 .long 1066517740 .long 3067833783 .long 1067899757 .long 2021159460 .long 1065855096 .long 2576980378 .long 1066178969 .type cv2,@object .size cv2,64 .align 16 HALFMASK: .long 4160749568 .long 4294967295 .long 4160749568 .long 4294967295 .type HALFMASK,@object .size HALFMASK,16 .align 16 PI: .long 856972295 .long 1017226790 .long 1413754136 .long 1074340347 .type PI,@object .size PI,16 .align 4 ONEMASK: .long 0 .long 1072693248 .type ONEMASK,@object .size ONEMASK,8 .align 4 TMASK: .long 0 .long 4294950912 .type TMASK,@object .size TMASK,8 .align 4 ONE_BY_2: .long 0 .long 1071644672 .type ONE_BY_2,@object .size ONE_BY_2,8 .data .section .note.GNU-stack, "" // -- Begin DWARF2 SEGMENT .eh_frame .section .eh_frame,"a",@progbits .eh_frame_seg: .align 1 .4byte 0x00000014 .8byte 0x00527a0100000000 .8byte 0x08070c1b01107801 .4byte 0x00000190 .4byte 0x0000001c .4byte 0x0000001c .4byte ..___tag_value_acos.1-. .4byte ..___tag_value_acos.5-..___tag_value_acos.1 .2byte 0x0400 .4byte ..___tag_value_acos.3-..___tag_value_acos.1 .2byte 0x200e .byte 0x04 .4byte ..___tag_value_acos.4-..___tag_value_acos.3 .2byte 0x080e .byte 0x00 # End