/* 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 # -- Begin atan2 ENTRY(atan2) # parameter 1: %xmm0 # parameter 2: %xmm1 ..B1.1: ..___tag_value_atan2.1: subq $24, %rsp ..___tag_value_atan2.3: movsd %xmm0, (%rsp) movsd %xmm1, 8(%rsp) ..B1.2: pextrw $3, %xmm0, %eax andl $32752, %eax subl $14448, %eax cmpl $3840, %eax ja .L_2TAG_PACKET_0.0.2 pextrw $3, %xmm1, %eax andl $32752, %eax subl $14448, %eax cmpl $3840, %eax ja .L_2TAG_PACKET_1.0.2 .L_2TAG_PACKET_2.0.2: unpcklpd %xmm1, %xmm0 xorpd %xmm5, %xmm5 xorpd %xmm3, %xmm3 movl $2048, %eax pinsrw $3, %eax, %xmm5 paddw %xmm1, %xmm5 psrlq $29, %xmm5 rcpss %xmm5, %xmm3 xorpd %xmm4, %xmm4 movl $14336, %ecx pinsrw $3, %ecx, %xmm4 psllq $29, %xmm3 paddw %xmm4, %xmm3 mulsd %xmm0, %xmm3 xorpd %xmm2, %xmm2 xorpd %xmm6, %xmm6 xorpd %xmm7, %xmm7 movl $32768, %eax pinsrw $2, %eax, %xmm6 movl $32767, %ecx pinsrw $3, %ecx, %xmm7 paddd %xmm6, %xmm3 andpd %xmm7, %xmm3 movq %xmm3, %xmm5 pextrw $3, %xmm3, %eax movl $16448, %ecx pinsrw $3, %ecx, %xmm2 minsd %xmm2, %xmm3 movmskpd %xmm0, %edx psllq $1, %xmm0 psrlq $1, %xmm0 cmpsd $2, %xmm2, %xmm5 psllq $1, %xmm1 psrlq $1, %xmm1 movq %xmm1, %xmm6 movq %xmm1, %xmm7 movq %xmm0, %xmm2 movl $0, %ecx pinsrw $0, %ecx, %xmm6 subsd %xmm6, %xmm7 movq %xmm0, %xmm4 mulsd %xmm3, %xmm6 mulsd %xmm3, %xmm4 mulsd %xmm3, %xmm7 andpd %xmm5, %xmm0 subsd %xmm6, %xmm0 andpd %xmm5, %xmm1 addsd %xmm1, %xmm4 subsd %xmm7, %xmm0 andl $32752, %eax subl $16286, %eax cmpl $1121, %eax ja .L_2TAG_PACKET_3.0.2 divsd %xmm4, %xmm0 pextrw $3, %xmm3, %ecx movsd a2(%rip), %xmm2 movsd b2(%rip), %xmm3 pextrw $0, %xmm5, %eax addl %edx, %edx lea P_TBL(%rip), %r8 movapd (%r8,%rdx,8), %xmm6 lea SGN_TBL(%rip), %r8 movapd (%r8,%rdx,8), %xmm1 subl $16286, %ecx notl %eax andl $1, %eax addl %eax, %ecx addl %ecx, %ecx lea ATAN_TBL(%rip), %r8 movapd (%r8,%rcx,8), %xmm5 xorpd %xmm1, %xmm5 addpd %xmm6, %xmm5 movq %xmm5, %xmm6 unpckhpd %xmm5, %xmm5 xorpd %xmm0, %xmm1 movq %xmm1, %xmm4 mulsd %xmm0, %xmm0 mulsd %xmm0, %xmm2 addsd %xmm0, %xmm3 addsd %xmm6, %xmm1 subsd %xmm1, %xmm6 addsd %xmm4, %xmm6 addsd 8+a2(%rip), %xmm2 mulsd %xmm0, %xmm3 mulsd %xmm4, %xmm0 addsd %xmm5, %xmm6 mulsd %xmm2, %xmm0 addsd 8+b2(%rip), %xmm3 mulsd %xmm3, %xmm0 addsd %xmm6, %xmm0 addsd %xmm1, %xmm0 jmp ..B1.5 .L_2TAG_PACKET_3.0.2: addl $942, %eax cmpl $942, %eax ja .L_2TAG_PACKET_4.0.2 xorpd %xmm4, %xmm4 movl $16368, %ecx pinsrw $3, %ecx, %xmm4 divsd %xmm1, %xmm4 addl %edx, %edx lea SGN_TBL(%rip), %r8 movapd (%r8,%rdx,8), %xmm6 unpcklpd %xmm3, %xmm3 xorpd %xmm6, %xmm0 xorpd %xmm6, %xmm2 xorpd %xmm6, %xmm3 lea P_TBL2(%rip), %r8 movapd (%r8,%rdx,8), %xmm7 movsd a2(%rip), %xmm1 movsd b2(%rip), %xmm5 lea SELECT_B(%rip), %r8 andpd (%r8,%rdx,8), %xmm3 mulsd %xmm4, %xmm2 mulsd %xmm4, %xmm0 movq %xmm2, %xmm6 mulsd %xmm2, %xmm2 mulsd %xmm2, %xmm1 addsd %xmm2, %xmm5 mulsd %xmm2, %xmm6 addsd 8+a2(%rip), %xmm1 mulsd %xmm2, %xmm5 addsd %xmm0, %xmm7 addpd %xmm3, %xmm7 mulsd %xmm6, %xmm1 addsd 8+b2(%rip), %xmm5 mulsd %xmm1, %xmm5 addsd %xmm7, %xmm5 pshufd $238, %xmm7, %xmm0 addsd %xmm5, %xmm0 jmp ..B1.5 .L_2TAG_PACKET_4.0.2: movsd 8(%rsp), %xmm1 movsd (%rsp), %xmm0 pextrw $3, %xmm1, %eax andl $32752, %eax pextrw $3, %xmm0, %ecx andl $32752, %ecx cmpl %eax, %ecx jg .L_2TAG_PACKET_5.0.2 pextrw $3, %xmm1, %ecx cmpl $32767, %ecx jg .L_2TAG_PACKET_6.0.2 divsd %xmm1, %xmm0 jmp ..B1.5 .L_2TAG_PACKET_6.0.2: andpd SGNMASK(%rip), %xmm0 movsd pi_table(%rip), %xmm2 xorpd %xmm2, %xmm0 jmp ..B1.5 .L_2TAG_PACKET_5.0.2: andpd SGNMASK(%rip), %xmm0 movsd pi2_table(%rip), %xmm2 xorpd %xmm2, %xmm0 jmp ..B1.5 .L_2TAG_PACKET_0.0.2: .L_2TAG_PACKET_1.0.2: pextrw $3, %xmm0, %ecx andl $32752, %ecx pextrw $3, %xmm1, %eax andl $32752, %eax cmpl $32752, %ecx je .L_2TAG_PACKET_7.0.2 cmpl $32752, %eax je .L_2TAG_PACKET_8.0.2 movsd POW55(%rip), %xmm3 movl $1024, %edx movsd INVEXPMASK(%rip), %xmm4 xorpd %xmm6, %xmm6 movsd EXPMASK(%rip), %xmm7 cmpl $0, %ecx je .L_2TAG_PACKET_9.0.2 .L_2TAG_PACKET_10.0.2: cmpl $0, %eax je .L_2TAG_PACKET_11.0.2 .L_2TAG_PACKET_12.0.2: addl %ecx, %edx subl %eax, %edx cmpl $2048, %edx ja .L_2TAG_PACKET_4.0.2 addl $15344, %edx pinsrw $3, %edx, %xmm6 andpd %xmm4, %xmm0 andpd %xmm4, %xmm1 orpd %xmm6, %xmm0 orpd %xmm7, %xmm1 jmp .L_2TAG_PACKET_2.0.2 .L_2TAG_PACKET_9.0.2: subl $880, %edx mulsd %xmm3, %xmm0 pextrw $3, %xmm0, %ecx andl $32752, %ecx cmpl $0, %ecx je .L_2TAG_PACKET_13.0.2 jmp .L_2TAG_PACKET_10.0.2 .L_2TAG_PACKET_11.0.2: addl $880, %edx mulsd %xmm3, %xmm1 pextrw $3, %xmm1, %eax andl $32752, %eax cmpl $0, %eax je .L_2TAG_PACKET_14.0.2 jmp .L_2TAG_PACKET_12.0.2 .L_2TAG_PACKET_7.0.2: movd %xmm0, %edx movq %xmm0, %xmm2 psrlq $32, %xmm2 movd %xmm2, %ecx andl $1048575, %ecx orl %edx, %ecx cmpl $0, %ecx jne .L_2TAG_PACKET_15.0.2 psrlq $63, %xmm0 psllq $63, %xmm0 cmpl $32752, %eax jae .L_2TAG_PACKET_16.0.2 movapd pi2_table(%rip), %xmm5 pshufd $238, %xmm5, %xmm4 addsd %xmm4, %xmm5 orpd %xmm5, %xmm0 jmp ..B1.5 .L_2TAG_PACKET_15.0.2: addsd %xmm0, %xmm0 jmp ..B1.5 .L_2TAG_PACKET_16.0.2: movd %xmm1, %eax movq %xmm1, %xmm2 psrlq $32, %xmm2 movd %xmm2, %ecx movl $-2147483648, %edx andl %ecx, %edx andl $1048575, %ecx orl %eax, %ecx cmpl $0, %ecx jne .L_2TAG_PACKET_17.0.2 cmpl $0, %edx jne .L_2TAG_PACKET_18.0.2 movapd pi4_table(%rip), %xmm5 pshufd $238, %xmm5, %xmm4 addsd %xmm4, %xmm5 orpd %xmm5, %xmm0 jmp ..B1.5 .L_2TAG_PACKET_17.0.2: movq %xmm1, %xmm0 addsd %xmm0, %xmm0 jmp ..B1.5 .L_2TAG_PACKET_18.0.2: movapd pi4_table(%rip), %xmm5 movapd pi2_table(%rip), %xmm6 addpd %xmm6, %xmm5 pshufd $238, %xmm5, %xmm6 addpd %xmm6, %xmm5 orpd %xmm5, %xmm0 jmp ..B1.5 .L_2TAG_PACKET_8.0.2: movd %xmm1, %eax movq %xmm1, %xmm2 psrlq $32, %xmm2 movd %xmm2, %ecx movl $-2147483648, %edx andl %ecx, %edx andl $1048575, %ecx orl %eax, %ecx cmpl $0, %ecx jne .L_2TAG_PACKET_17.0.2 psrlq $63, %xmm0 psllq $63, %xmm0 cmpl $0, %edx jne .L_2TAG_PACKET_19.0.2 jmp ..B1.5 .L_2TAG_PACKET_19.0.2: movapd pi_table(%rip), %xmm5 pshufd $238, %xmm5, %xmm4 addsd %xmm4, %xmm5 orpd %xmm5, %xmm0 jmp ..B1.5 .L_2TAG_PACKET_13.0.2: pextrw $3, %xmm1, %edx andl $32768, %edx cmpl $0, %edx je .L_2TAG_PACKET_20.0.2 movapd pi_table(%rip), %xmm5 pshufd $238, %xmm5, %xmm4 addsd %xmm4, %xmm5 comisd %xmm0, %xmm1 orpd %xmm5, %xmm0 je .L_2TAG_PACKET_21.0.2 jmp ..B1.5 .L_2TAG_PACKET_20.0.2: comisd %xmm0, %xmm1 je .L_2TAG_PACKET_21.0.2 jmp ..B1.5 .L_2TAG_PACKET_14.0.2: movapd pi2_table(%rip), %xmm5 psrlq $63, %xmm0 psllq $63, %xmm0 pshufd $238, %xmm5, %xmm4 addsd %xmm4, %xmm5 orpd %xmm5, %xmm0 jmp ..B1.5 .L_2TAG_PACKET_21.0.2: movq %xmm0, 16(%rsp) ..B1.3: movq 16(%rsp), %xmm0 .L_2TAG_PACKET_22.0.2: ..B1.5: addq $24, %rsp ..___tag_value_atan2.4: ret ..___tag_value_atan2.5: END(atan2) # -- End atan2 .section .rodata, "a" .align 16 .align 16 a2: .long 2006262985 .long 1069310863 .long 2358449471 .long 3217342131 .type a2,@object .size a2,16 .align 16 b2: .long 3845454352 .long 1069952297 .long 2829679149 .long 1073771565 .type b2,@object .size b2,16 .align 16 P_TBL: .long 0 .long 0 .long 0 .long 0 .long 0 .long 0 .long 0 .long 0 .long 1413754136 .long 1074340347 .long 856972295 .long 1017226790 .long 1413754136 .long 3221823995 .long 856972295 .long 3164710438 .type P_TBL,@object .size P_TBL,64 .align 16 SGN_TBL: .long 0 .long 0 .long 0 .long 0 .long 0 .long 2147483648 .long 0 .long 2147483648 .long 0 .long 2147483648 .long 0 .long 2147483648 .long 0 .long 0 .long 0 .long 0 .type SGN_TBL,@object .size SGN_TBL,64 .align 16 ATAN_TBL: .long 3390881280 .long 1067318733 .long 1411116779 .long 1018950063 .long 2985987840 .long 1067384211 .long 2088903695 .long 1018086027 .long 3148445184 .long 1067449685 .long 2044163806 .long 1017271335 .long 3667629184 .long 1067515494 .long 2353092775 .long 1019967309 .long 1546568832 .long 1067580954 .long 611991315 .long 1017602584 .long 3815996800 .long 1067646404 .long 466038598 .long 1019686426 .long 4050241920 .long 1067711845 .long 3265026328 .long 1019626952 .long 120454912 .long 1067777277 .long 1542207696 .long 1020155608 .long 2784639744 .long 1067842697 .long 3883834623 .long 1018602870 .long 1328010624 .long 1067908107 .long 1791097456 .long 1019053126 .long 2217794048 .long 1067973505 .long 551619938 .long 1018494194 .long 3333520000 .long 1068038891 .long 2390331823 .long 1019033022 .long 2557052032 .long 1068104265 .long 2423976108 .long 1019728674 .long 2067649536 .long 1068169626 .long 3757397745 .long 1018672362 .long 4047094784 .long 1068234973 .long 481613184 .long 1019275104 .long 2089853184 .long 1068300307 .long 1733914374 .long 1020124677 .long 2678003840 .long 1068365626 .long 1373600282 .long 1013935474 .long 3706496128 .long 1068430930 .long 1000610902 .long 1019673285 .long 3073179008 .long 1068496219 .long 1497143008 .long 1019900342 .long 2803716736 .long 1068562846 .long 1476677416 .long 1019444094 .long 3204984128 .long 1068628077 .long 1192335905 .long 1018748628 .long 831146624 .long 1068693273 .long 2733586224 .long 1018823295 .long 243029376 .long 1068758431 .long 950106081 .long 1019046675 .long 1735561920 .long 1068823549 .long 3546440856 .long 1020104712 .long 1339217792 .long 1068888626 .long 3028812387 .long 1019818321 .long 3706342144 .long 1068953659 .long 3814564029 .long 1017763871 .long 637726976 .long 1069018648 .long 3584007699 .long 1017976868 .long 1148779264 .long 1069083589 .long 2282532133 .long 1019483954 .long 1406131392 .long 1069148481 .long 1547359113 .long 1019786342 .long 1908875904 .long 1069213322 .long 1315508410 .long 1020009473 .long 3194947520 .long 1069278110 .long 3845393201 .long 1015803761 .long 1547487744 .long 1069342844 .long 3863107865 .long 1019810104 .long 1881061952 .long 1069407521 .long 4288343548 .long 1019687581 .long 563086336 .long 1069472140 .long 2582230241 .long 1020099350 .long 2594975552 .long 1069536698 .long 2306443764 .long 1019667244 .long 3438545024 .long 1069606573 .long 957455549 .long 1015587735 .long 4211357472 .long 1069670906 .long 2611778754 .long 1017877214 .long 3002835424 .long 1069735101 .long 235580458 .long 1020211685 .long 3905315424 .long 1069799150 .long 3630647617 .long 1018736849 .long 2849656576 .long 1069863047 .long 2412165062 .long 1019693004 .long 507429472 .long 1069926785 .long 1397750723 .long 1018412717 .long 2307470272 .long 1069990356 .long 1796470904 .long 1019796181 .long 1271814912 .long 1070053755 .long 189761565 .long 1016149115 .long 3800538144 .long 1070116974 .long 2524871582 .long 1018263353 .long 3916203552 .long 1070180008 .long 127848658 .long 1017672664 .long 457192032 .long 1070242851 .long 4020400938 .long 1019823010 .long 1385324704 .long 1070305495 .long 564511179 .long 1016079094 .long 2322869856 .long 1070367935 .long 2347103319 .long 1018927760 .long 3743438624 .long 1070430165 .long 877973862 .long 1019638162 .long 2392255552 .long 1070492180 .long 2432782267 .long 1018872629 .long 4180443328 .long 1070553973 .long 3102990015 .long 1020093101 .long 2547540832 .long 1070636485 .long 3877738253 .long 1017300424 .long 2735468912 .long 1070697461 .long 2446470256 .long 1019235378 .long 542633792 .long 1070757943 .long 583606328 .long 1018624131 .long 923265984 .long 1070817911 .long 1793926708 .long 1019714161 .long 918728448 .long 1070877348 .long 3726463586 .long 1019433296 .long 2572275008 .long 1070936237 .long 1845354238 .long 1019459238 .long 50974688 .long 1070994564 .long 983808064 .long 1016685418 .long 1105518320 .long 1071052313 .long 2357496692 .long 1015139882 .long 1264825328 .long 1071109472 .long 2244129354 .long 1019046344 .long 961157920 .long 1071166029 .long 3124185339 .long 1018541776 .long 1162701584 .long 1071221973 .long 1279780948 .long 1019268918 .long 3284935664 .long 1071277294 .long 2670033472 .long 1019833744 .long 497441888 .long 1071331985 .long 1032737410 .long 1019795212 .long 3377383904 .long 1071386036 .long 2356897182 .long 1020205553 .long 1126962000 .long 1071439443 .long 3723724586 .long 1015212418 .long 90291008 .long 1071492199 .long 4178672431 .long 1020186971 .long 190059536 .long 1071595741 .long 1763589807 .long 1019162163 .long 2497392840 .long 1071670654 .long 3036997041 .long 1020204325 .long 2616971944 .long 1071719773 .long 300151069 .long 1017041957 .long 2883518128 .long 1071767563 .long 2203981414 .long 1019190108 .long 1496354352 .long 1071814030 .long 332287966 .long 1016846435 .long 483276728 .long 1071859184 .long 653845024 .long 1018830914 .long 3097401072 .long 1071903039 .long 1514746408 .long 1019278972 .long 2737217248 .long 1071945615 .long 1358845067 .long 1017268275 .long 2072577560 .long 1071986933 .long 3041024735 .long 1019929672 .long 2266405656 .long 1072027017 .long 1271261130 .long 1012925070 .long 958652544 .long 1072065894 .long 2158017058 .long 1019955372 .long 3312993840 .long 1072103591 .long 765809169 .long 1019114443 .long 3177001304 .long 1072140139 .long 144180084 .long 1019822186 .long 3071642184 .long 1072175568 .long 4004602424 .long 1019420740 .long 4283953648 .long 1072209909 .long 1511950430 .long 1020176966 .long 1413754136 .long 1072243195 .long 856972295 .long 1015129638 .long 4073202944 .long 1072306725 .long 4068194804 .long 1019714860 .long 946117760 .long 1072366415 .long 694980733 .long 1020150135 .long 3980632032 .long 1072422512 .long 1313251280 .long 1019948709 .long 1468297112 .long 1072475260 .long 330111143 .long 1019809198 .long 3478063816 .long 1072524887 .long 2930067044 .long 1017784081 .long 1153979856 .long 1072571613 .long 2225786102 .long 1017634481 .long 2089828808 .long 1072615641 .long 474621367 .long 1017043414 .long 3531732632 .long 1072657163 .long 2276396220 .long 1018757240 .long 775214612 .long 1072694803 .long 3209744818 .long 1019963015 .long 662307284 .long 1072713319 .long 1381696763 .long 1019763781 .long 1192776652 .long 1072730830 .long 3017932994 .long 1015179769 .long 744202396 .long 1072747407 .long 2073854034 .long 1019512292 .long 8337908 .long 1072763115 .long 16004448 .long 1019599514 .long 3589868768 .long 1072778013 .long 1374369804 .long 1018019237 .long 121647320 .long 1072792159 .long 128481634 .long 1018115438 .long 2464923204 .long 1072805601 .long 1787331214 .long 1016798022 .long 4093304372 .long 1072830562 .long 3306868969 .long 1019384078 .long 1436891684 .long 1072853231 .long 676347266 .long 1017302183 .long 1104571840 .long 1072873890 .long 2870400285 .long 1019938149 .long 2037009832 .long 1072892781 .long 2956702105 .long 1016472908 .long 3139037960 .long 1072910111 .long 916057147 .long 1018364335 .long 1826698064 .long 1072926058 .long 2171961098 .long 1019669816 .long 1353941060 .long 1072940774 .long 1722928782 .long 1019926215 .long 1803191644 .long 1072954391 .long 1547878639 .long 1020259262 .long 1092591296 .long 1072967024 .long 3070107923 .long 1018320401 .long 2205372832 .long 1072978772 .long 787328196 .long 1014621351 .long 1291577100 .long 1072989723 .long 2964757301 .long 1020242528 .long 4234512804 .long 1072999952 .long 3136030038 .long 1017522144 .long 3248069132 .long 1073009528 .long 1506192355 .long 1018050472 .long 3932628500 .long 1073018509 .long 1045823554 .long 1019946655 .long 4195697848 .long 1073026948 .long 233443322 .long 1018917447 .long 2501811452 .long 1073034892 .long 901427976 .long 1017333852 .long 866379428 .long 1073049455 .long 2437443742 .long 1019678792 .long 1376865888 .long 1073062480 .long 3365790232 .long 1014547152 .long 3290094268 .long 1073074195 .long 3898947415 .long 1018683566 .long 354764884 .long 1073084787 .long 3854322404 .long 1019662058 .long 3332975496 .long 1073094406 .long 3171701655 .long 1017830922 .long 1141460088 .long 1073103181 .long 3946082701 .long 1020032019 .long 745761284 .long 1073111216 .long 1347210591 .long 1019106121 .long 1673304508 .long 1073118600 .long 1760606642 .long 1017324577 .long 983388240 .long 1073125409 .long 3740651204 .long 1019514104 .long 3895509100 .long 1073131706 .long 2409629983 .long 1020069322 .long 2128523668 .long 1073137548 .long 3045605368 .long 1018579174 .long 2075485692 .long 1073142981 .long 3720571789 .long 1017557436 .long 121855976 .long 1073148047 .long 2391744767 .long 1020160645 .long 4181733780 .long 1073152780 .long 995028816 .long 1019681295 .long 2887813280 .long 1073157214 .long 218733247 .long 1020003509 .long 2862180896 .long 1073161375 .long 2043806490 .long 1018602288 .long 3909375184 .long 1073168973 .long 1559903412 .long 1020103444 .long 3533966292 .long 1073175738 .long 734884149 .long 1018462962 .long 3815044608 .long 1073181799 .long 3630523428 .long 1017250093 .long 739639376 .long 1073187261 .long 4167476661 .long 1020008277 .long 1068309648 .long 1073192207 .long 2110061437 .long 1019295858 .long 2350566352 .long 1073196707 .long 582596516 .long 1018568821 .long 2529520024 .long 1073200819 .long 745552787 .long 1019053165 .long 1841667508 .long 1073204591 .long 3982568700 .long 1016503327 .long 2242261080 .long 1073208063 .long 3433582258 .long 1016196763 .long 715134328 .long 1073211270 .long 355901358 .long 1020087916 .long 2700735876 .long 1073214240 .long 3640957736 .long 1019780205 .long 141607580 .long 1073217000 .long 2488245051 .long 1020262395 .long 287934404 .long 1073219570 .long 2392691085 .long 1019883292 .long 2363373988 .long 1073221969 .long 4194561737 .long 1019237447 .long 3829340424 .long 1073224214 .long 429455526 .long 1019490975 .long 1988805928 .long 1073226320 .long 3029848706 .long 1018104889 .long 1647572320 .long 1073230161 .long 10289938 .long 1017394880 .long 3988000624 .long 1073233576 .long 1957559169 .long 1019434816 .long 4263843944 .long 1073236633 .long 204710264 .long 1019908761 .long 663197724 .long 1073239386 .long 1921757578 .long 1019778948 .long 3560800700 .long 1073241876 .long 3994348896 .long 1019230192 .long 2441785656 .long 1073244141 .long 871468611 .long 1014800505 .long 3277400272 .long 1073246209 .long 4092218139 .long 1020040842 .long 3951990120 .long 1073248105 .long 4276546478 .long 1019763677 .long 2737338540 .long 1073249850 .long 252776012 .long 1018794951 .long 1511361316 .long 1073251461 .long 3119653999 .long 1018514803 .long 3969162516 .long 1073252952 .long 1037069016 .long 1016792900 .long 413985240 .long 1073254338 .long 4110171432 .long 1020001345 .long 3681283576 .long 1073255627 .long 1463092818 .long 1020260354 .long 3146455488 .long 1073256831 .long 1031209123 .long 1016554799 .long 95214512 .long 1073257958 .long 1373808632 .long 1019493031 .long 4250240828 .long 1073259013 .long 3891047882 .long 1020108730 .long 1413754136 .long 1073291771 .long 856972295 .long 1016178214 .type ATAN_TBL,@object .size ATAN_TBL,2624 .align 16 P_TBL2: .long 0 .long 0 .long 0 .long 0 .long 0 .long 0 .long 0 .long 0 .long 856972295 .long 1017226790 .long 1413754136 .long 1074340347 .long 856972295 .long 3164710438 .long 1413754136 .long 3221823995 .type P_TBL2,@object .size P_TBL2,64 .align 16 SELECT_B: .long 0 .long 0 .long 4294967295 .long 4294967295 .long 0 .long 0 .long 4294967295 .long 4294967295 .long 4294967295 .long 4294967295 .long 0 .long 0 .long 4294967295 .long 4294967295 .long 0 .long 0 .type SELECT_B,@object .size SELECT_B,64 .align 16 SGNMASK: .long 0 .long 2147483648 .long 0 .long 2147483648 .type SGNMASK,@object .size SGNMASK,16 .align 16 pi_table: .long 1413754136 .long 1074340347 .long 856972295 .long 1017226790 .type pi_table,@object .size pi_table,16 .align 16 pi2_table: .long 1413754136 .long 1073291771 .long 856972295 .long 1016178214 .type pi2_table,@object .size pi2_table,16 .align 16 pi4_table: .long 1413754136 .long 1072243195 .long 856972295 .long 1015129638 .type pi4_table,@object .size pi4_table,16 .align 4 POW55: .long 0 .long 1130364928 .type POW55,@object .size POW55,8 .align 4 INVEXPMASK: .long 4294967295 .long 2148532223 .type INVEXPMASK,@object .size INVEXPMASK,8 .align 4 EXPMASK: .long 0 .long 1072693248 .type EXPMASK,@object .size EXPMASK,8 .data .section .note.GNU-stack, "",@progbits // -- 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_atan2.1-. .4byte ..___tag_value_atan2.5-..___tag_value_atan2.1 .2byte 0x0400 .4byte ..___tag_value_atan2.3-..___tag_value_atan2.1 .2byte 0x200e .byte 0x04 .4byte ..___tag_value_atan2.4-..___tag_value_atan2.3 .2byte 0x080e .byte 0x00 # End