/* 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. RANGE REDUCTION // // We perform an initial range reduction from X to r with // // X =~= N * pi/32 + r // // so that |r| <= pi/64 + epsilon. We restrict inputs to those // where |N| <= 932560. Beyond this, the range reduction is // insufficiently accurate. For extremely small inputs, // denormalization can occur internally, impacting performance. // This means that the main path is actually only taken for // 2^-252 <= |X| < 90112. // // To avoid branches, we perform the range reduction to full // accuracy each time. // // X - N * (P_1 + P_2 + P_3) // // where P_1 and P_2 are 32-bit numbers (so multiplication by N // is exact) and P_3 is a 53-bit number. Together, these // approximate pi well enough for all cases in the restricted // range. // // The main reduction sequence is: // // y = 32/pi * x // N = integer(y) // (computed by adding and subtracting off SHIFTER) // // m_1 = N * P_1 // m_2 = N * P_2 // r_1 = x - m_1 // r = r_1 - m_2 // (this r can be used for most of the calculation) // // c_1 = r_1 - r // m_3 = N * P_3 // c_2 = c_1 - m_2 // c = c_2 - m_3 // // 2. MAIN ALGORITHM // // The algorithm uses a table lookup based on B = M * pi / 32 // where M = N mod 64. The stored values are: // sigma closest power of 2 to cos(B) // C_hl 53-bit cos(B) - sigma // S_hi + S_lo 2 * 53-bit sin(B) // // The computation is organized as follows: // // sin(B + r + c) = [sin(B) + sigma * r] + // r * (cos(B) - sigma) + // sin(B) * [cos(r + c) - 1] + // cos(B) * [sin(r + c) - r] // // which is approximately: // // [S_hi + sigma * r] + // C_hl * r + // S_lo + S_hi * [(cos(r) - 1) - r * c] + // (C_hl + sigma) * [(sin(r) - r) + c] // // and this is what is actually computed. We separate this sum // into four parts: // // hi + med + pols + corr // // where // // hi = S_hi + sigma r // med = C_hl * r // pols = S_hi * (cos(r) - 1) + (C_hl + sigma) * (sin(r) - r) // corr = S_lo + c * ((C_hl + sigma) - S_hi * r) // // 3. POLYNOMIAL // // The polynomial S_hi * (cos(r) - 1) + (C_hl + sigma) * // (sin(r) - r) can be rearranged freely, since it is quite // small, so we exploit parallelism to the fullest. // // psc4 = SC_4 * r_1 // msc4 = psc4 * r // r2 = r * r // msc2 = SC_2 * r2 // r4 = r2 * r2 // psc3 = SC_3 + msc4 // psc1 = SC_1 + msc2 // msc3 = r4 * psc3 // sincospols = psc1 + msc3 // pols = sincospols * // // // 4. CORRECTION TERM // // This is where the "c" component of the range reduction is // taken into account; recall that just "r" is used for most of // the calculation. // // -c = m_3 - c_2 // -d = S_hi * r - (C_hl + sigma) // corr = -c * -d + S_lo // // 5. COMPENSATED SUMMATIONS // // The two successive compensated summations add up the high // and medium parts, leaving just the low parts to add up at // the end. // // rs = sigma * r // res_int = S_hi + rs // k_0 = S_hi - res_int // k_2 = k_0 + rs // med = C_hl * r // res_hi = res_int + med // k_1 = res_int - res_hi // k_3 = k_1 + med // // 6. FINAL SUMMATION // // We now add up all the small parts: // // res_lo = pols(hi) + pols(lo) + corr + k_1 + k_3 // // Now the overall result is just: // // res_hi + res_lo // // 7. SMALL ARGUMENTS // // Inputs with |X| < 2^-252 are treated specially as // 1 - |x|. // // Special cases: // cos(NaN) = quiet NaN, and raise invalid exception // cos(INF) = NaN and raise invalid exception // cos(0) = 1 // /******************************************************************************/ #include # -- Begin cos ENTRY(cos) # parameter 1: %xmm0 ..B1.1: ..___tag_value_cos.1: pushq %rbx ..___tag_value_cos.3: subq $16, %rsp ..___tag_value_cos.5: movsd %xmm0, 8(%rsp) ..B1.2: movl 12(%rsp), %eax movq PI32INV(%rip), %xmm1 andl $2147418112, %eax subl $808452096, %eax cmpl $281346048, %eax ja .L_2TAG_PACKET_0.0.1 mulsd %xmm0, %xmm1 movapd ONEHALF(%rip), %xmm5 movq SIGN_MASK(%rip), %xmm4 andpd %xmm0, %xmm4 orps %xmm4, %xmm5 addpd %xmm5, %xmm1 cvttsd2si %xmm1, %edx cvtsi2sd %edx, %xmm1 movapd P_2(%rip), %xmm2 movq P_1(%rip), %xmm3 mulsd %xmm1, %xmm3 unpcklpd %xmm1, %xmm1 addq $1865232, %rdx movq %xmm0, %xmm4 andq $63, %rdx movapd SC_4(%rip), %xmm5 lea Ctable(%rip), %rax shlq $5, %rdx addq %rdx, %rax mulpd %xmm1, %xmm2 subsd %xmm3, %xmm0 mulsd P_3(%rip), %xmm1 subsd %xmm3, %xmm4 movq 8(%rax), %xmm7 unpcklpd %xmm0, %xmm0 movq %xmm4, %xmm3 subsd %xmm2, %xmm4 mulpd %xmm0, %xmm5 subpd %xmm2, %xmm0 movapd SC_2(%rip), %xmm6 mulsd %xmm4, %xmm7 subsd %xmm4, %xmm3 mulpd %xmm0, %xmm5 mulpd %xmm0, %xmm0 subsd %xmm2, %xmm3 movapd (%rax), %xmm2 subsd %xmm3, %xmm1 movq 24(%rax), %xmm3 addsd %xmm3, %xmm2 subsd %xmm2, %xmm7 mulsd %xmm4, %xmm2 mulpd %xmm0, %xmm6 mulsd %xmm4, %xmm3 mulpd %xmm0, %xmm2 mulpd %xmm0, %xmm0 addpd SC_3(%rip), %xmm5 mulsd (%rax), %xmm4 addpd SC_1(%rip), %xmm6 mulpd %xmm0, %xmm5 movq %xmm3, %xmm0 addsd 8(%rax), %xmm3 mulpd %xmm7, %xmm1 movq %xmm4, %xmm7 addsd %xmm3, %xmm4 addpd %xmm5, %xmm6 movq 8(%rax), %xmm5 subsd %xmm3, %xmm5 subsd %xmm4, %xmm3 addsd 16(%rax), %xmm1 mulpd %xmm2, %xmm6 addsd %xmm5, %xmm0 addsd %xmm7, %xmm3 addsd %xmm1, %xmm0 addsd %xmm3, %xmm0 addsd %xmm6, %xmm0 unpckhpd %xmm6, %xmm6 addsd %xmm6, %xmm0 addsd %xmm4, %xmm0 jmp ..B1.4 .L_2TAG_PACKET_0.0.1: jg .L_2TAG_PACKET_1.0.1 pextrw $3, %xmm0, %eax andw $32767, %ax pinsrw $3, %eax, %xmm0 movq ONE(%rip), %xmm1 subsd %xmm0, %xmm1 movq %xmm1, %xmm0 jmp ..B1.4 .L_2TAG_PACKET_1.0.1: pextrw $3, %xmm0, %eax andl $32752, %eax cmpl $32752, %eax je .L_2TAG_PACKET_2.0.1 pextrw $3, %xmm0, %ecx andl $32752, %ecx subl $16224, %ecx shrl $7, %ecx andl $65532, %ecx lea PI_INV_TABLE(%rip), %r11 addq %r11, %rcx movd %xmm0, %rax movl 20(%rcx), %r10d movl 24(%rcx), %r8d movl %eax, %edx shrq $21, %rax orl $-2147483648, %eax shrl $11, %eax movl %r10d, %r9d imulq %rdx, %r10 imulq %rax, %r9 imulq %rax, %r8 movl 16(%rcx), %esi movl 12(%rcx), %edi movl %r10d, %r11d shrq $32, %r10 addq %r10, %r9 addq %r8, %r11 movl %r11d, %r8d shrq $32, %r11 addq %r11, %r9 movl %esi, %r10d imulq %rdx, %rsi imulq %rax, %r10 movl %edi, %r11d imulq %rdx, %rdi movl %esi, %ebx shrq $32, %rsi addq %rbx, %r9 movl %r9d, %ebx shrq $32, %r9 addq %rsi, %r10 addq %r9, %r10 shlq $32, %rbx orq %rbx, %r8 imulq %rax, %r11 movl 8(%rcx), %r9d movl 4(%rcx), %esi movl %edi, %ebx shrq $32, %rdi addq %rbx, %r10 movl %r10d, %ebx shrq $32, %r10 addq %rdi, %r11 addq %r10, %r11 movq %r9, %rdi imulq %rdx, %r9 imulq %rax, %rdi movl %r9d, %r10d shrq $32, %r9 addq %r10, %r11 movl %r11d, %r10d shrq $32, %r11 addq %r9, %rdi addq %r11, %rdi movq %rsi, %r9 imulq %rdx, %rsi imulq %rax, %r9 shlq $32, %r10 orq %rbx, %r10 movl (%rcx), %eax movl %esi, %r11d shrq $32, %rsi addq %r11, %rdi movl %edi, %r11d shrq $32, %rdi addq %rsi, %r9 addq %rdi, %r9 imulq %rax, %rdx pextrw $3, %xmm0, %ebx lea PI_INV_TABLE(%rip), %rdi subq %rdi, %rcx addl %ecx, %ecx addl %ecx, %ecx addl %ecx, %ecx addl $19, %ecx movl $32768, %esi andl %ebx, %esi shrl $4, %ebx andl $2047, %ebx subl $1023, %ebx subl %ebx, %ecx addq %rdx, %r9 movl %ecx, %edx addl $32, %edx cmpl $1, %ecx jl .L_2TAG_PACKET_3.0.1 negl %ecx addl $29, %ecx shll %cl, %r9d movl %r9d, %edi andl $536870911, %r9d testl $268435456, %r9d jne .L_2TAG_PACKET_4.0.1 shrl %cl, %r9d movl $0, %ebx shlq $32, %r9 orq %r11, %r9 .L_2TAG_PACKET_5.0.1: .L_2TAG_PACKET_6.0.1: cmpq $0, %r9 je .L_2TAG_PACKET_7.0.1 .L_2TAG_PACKET_8.0.1: bsr %r9, %r11 movl $29, %ecx subl %r11d, %ecx jle .L_2TAG_PACKET_9.0.1 shlq %cl, %r9 movq %r10, %rax shlq %cl, %r10 addl %ecx, %edx negl %ecx addl $64, %ecx shrq %cl, %rax shrq %cl, %r8 orq %rax, %r9 orq %r8, %r10 .L_2TAG_PACKET_10.0.1: cvtsi2sdq %r9, %xmm0 shrq $1, %r10 cvtsi2sdq %r10, %xmm3 xorpd %xmm4, %xmm4 shll $4, %edx negl %edx addl $16368, %edx orl %esi, %edx xorl %ebx, %edx pinsrw $3, %edx, %xmm4 movq PI_4(%rip), %xmm2 movq 8+PI_4(%rip), %xmm6 xorpd %xmm5, %xmm5 subl $1008, %edx pinsrw $3, %edx, %xmm5 mulsd %xmm4, %xmm0 shll $16, %esi sarl $31, %esi mulsd %xmm5, %xmm3 movq %xmm0, %xmm1 mulsd %xmm2, %xmm0 shrl $29, %edi addsd %xmm3, %xmm1 mulsd %xmm2, %xmm3 addl %esi, %edi xorl %esi, %edi mulsd %xmm1, %xmm6 movl %edi, %eax addsd %xmm3, %xmm6 movq %xmm0, %xmm2 addsd %xmm6, %xmm0 subsd %xmm0, %xmm2 addsd %xmm2, %xmm6 .L_2TAG_PACKET_11.0.1: movq PI32INV(%rip), %xmm1 mulsd %xmm0, %xmm1 movq ONEHALF(%rip), %xmm5 movq SIGN_MASK(%rip), %xmm4 andpd %xmm0, %xmm4 orps %xmm4, %xmm5 addpd %xmm5, %xmm1 cvttsd2si %xmm1, %rdx cvtsi2sdq %rdx, %xmm1 movq P_1(%rip), %xmm3 movapd P_2(%rip), %xmm2 mulsd %xmm1, %xmm3 unpcklpd %xmm1, %xmm1 shll $3, %eax addl $1865232, %edx movq %xmm0, %xmm4 addl %eax, %edx andl $63, %edx movapd SC_4(%rip), %xmm5 lea Ctable(%rip), %rax shll $5, %edx addq %rdx, %rax mulpd %xmm1, %xmm2 subsd %xmm3, %xmm0 mulsd P_3(%rip), %xmm1 subsd %xmm3, %xmm4 movq 8(%rax), %xmm7 unpcklpd %xmm0, %xmm0 movq %xmm4, %xmm3 subsd %xmm2, %xmm4 mulpd %xmm0, %xmm5 subpd %xmm2, %xmm0 mulsd %xmm4, %xmm7 subsd %xmm4, %xmm3 mulpd %xmm0, %xmm5 mulpd %xmm0, %xmm0 subsd %xmm2, %xmm3 movapd (%rax), %xmm2 subsd %xmm3, %xmm1 movq 24(%rax), %xmm3 addsd %xmm3, %xmm2 subsd %xmm2, %xmm7 subsd %xmm6, %xmm1 movapd SC_2(%rip), %xmm6 mulsd %xmm4, %xmm2 mulpd %xmm0, %xmm6 mulsd %xmm4, %xmm3 mulpd %xmm0, %xmm2 mulpd %xmm0, %xmm0 addpd SC_3(%rip), %xmm5 mulsd (%rax), %xmm4 addpd SC_1(%rip), %xmm6 mulpd %xmm0, %xmm5 movq %xmm3, %xmm0 addsd 8(%rax), %xmm3 mulpd %xmm7, %xmm1 movq %xmm4, %xmm7 addsd %xmm3, %xmm4 addpd %xmm5, %xmm6 movq 8(%rax), %xmm5 subsd %xmm3, %xmm5 subsd %xmm4, %xmm3 addsd 16(%rax), %xmm1 mulpd %xmm2, %xmm6 addsd %xmm0, %xmm5 addsd %xmm7, %xmm3 addsd %xmm5, %xmm1 addsd %xmm3, %xmm1 addsd %xmm6, %xmm1 unpckhpd %xmm6, %xmm6 movq %xmm4, %xmm0 addsd %xmm6, %xmm1 addsd %xmm1, %xmm0 jmp ..B1.4 .L_2TAG_PACKET_7.0.1: addl $64, %edx movq %r10, %r9 movq %r8, %r10 movq $0, %r8 cmpq $0, %r9 jne .L_2TAG_PACKET_8.0.1 addl $64, %edx movq %r10, %r9 movq %r8, %r10 cmpq $0, %r9 jne .L_2TAG_PACKET_8.0.1 xorpd %xmm0, %xmm0 xorpd %xmm6, %xmm6 jmp .L_2TAG_PACKET_11.0.1 .L_2TAG_PACKET_9.0.1: je .L_2TAG_PACKET_10.0.1 negl %ecx shrq %cl, %r10 movq %r9, %rax shrq %cl, %r9 subl %ecx, %edx negl %ecx addl $64, %ecx shlq %cl, %rax orq %rax, %r10 jmp .L_2TAG_PACKET_10.0.1 .L_2TAG_PACKET_3.0.1: negl %ecx shlq $32, %r9 orq %r11, %r9 shlq %cl, %r9 movq %r9, %rdi testl $-2147483648, %r9d jne .L_2TAG_PACKET_12.0.1 shrl %cl, %r9d movl $0, %ebx shrq $3, %rdi jmp .L_2TAG_PACKET_6.0.1 .L_2TAG_PACKET_4.0.1: shrl %cl, %r9d movl $536870912, %ebx shrl %cl, %ebx shlq $32, %r9 orq %r11, %r9 shlq $32, %rbx addl $536870912, %edi movq $0, %rcx movq $0, %r11 subq %r8, %rcx sbbq %r10, %r11 sbbq %r9, %rbx movq %rcx, %r8 movq %r11, %r10 movq %rbx, %r9 movl $32768, %ebx jmp .L_2TAG_PACKET_5.0.1 .L_2TAG_PACKET_12.0.1: shrl %cl, %r9d movq $0x100000000, %rbx shrq %cl, %rbx movq $0, %rcx movq $0, %r11 subq %r8, %rcx sbbq %r10, %r11 sbbq %r9, %rbx movq %rcx, %r8 movq %r11, %r10 movq %rbx, %r9 movl $32768, %ebx shrq $3, %rdi addl $536870912, %edi jmp .L_2TAG_PACKET_6.0.1 .L_2TAG_PACKET_2.0.1: movsd 8(%rsp), %xmm0 mulsd NEG_ZERO(%rip), %xmm0 movq %xmm0, (%rsp) .L_2TAG_PACKET_13.0.1: ..B1.4: addq $16, %rsp ..___tag_value_cos.6: popq %rbx ..___tag_value_cos.8: ret ..___tag_value_cos.9: END(cos) # -- End cos .section .rodata, "a" .align 16 .align 16 ONEHALF: .long 0 .long 1071644672 .long 0 .long 1071644672 .type ONEHALF,@object .size ONEHALF,16 .align 16 P_2: .long 442499072 .long 1032893537 .long 442499072 .long 1032893537 .type P_2,@object .size P_2,16 .align 16 SC_4: .long 2773927732 .long 1053236707 .long 436314138 .long 1056571808 .type SC_4,@object .size SC_4,16 .align 16 Ctable: .long 0 .long 0 .long 0 .long 0 .long 0 .long 0 .long 0 .long 1072693248 .long 393047345 .long 3212032302 .long 3156849708 .long 1069094822 .long 3758096384 .long 3158189848 .long 0 .long 1072693248 .long 18115067 .long 3214126342 .long 1013556747 .long 1070135480 .long 3221225472 .long 3160567065 .long 0 .long 1072693248 .long 2476548698 .long 3215330282 .long 785751814 .long 1070765062 .long 2684354560 .long 3161838221 .long 0 .long 1072693248 .long 2255197647 .long 3216211105 .long 2796464483 .long 1071152610 .long 3758096384 .long 3160878317 .long 0 .long 1072693248 .long 1945768569 .long 3216915048 .long 939980347 .long 1071524701 .long 536870912 .long 1012796809 .long 0 .long 1072693248 .long 1539668340 .long 3217396327 .long 967731400 .long 1071761211 .long 536870912 .long 1015752157 .long 0 .long 1072693248 .long 1403757309 .long 3217886718 .long 621354454 .long 1071926515 .long 536870912 .long 1013450602 .long 0 .long 1072693248 .long 2583490354 .long 1070236281 .long 1719614413 .long 1072079006 .long 536870912 .long 3163282740 .long 0 .long 1071644672 .long 2485417816 .long 1069626316 .long 1796544321 .long 1072217216 .long 536870912 .long 3162686945 .long 0 .long 1071644672 .long 2598800519 .long 1068266419 .long 688824739 .long 1072339814 .long 3758096384 .long 1010431536 .long 0 .long 1071644672 .long 2140183630 .long 3214756396 .long 4051746225 .long 1072445618 .long 2147483648 .long 3161907377 .long 0 .long 1071644672 .long 1699043957 .long 3216902261 .long 3476196678 .long 1072533611 .long 536870912 .long 1014257638 .long 0 .long 1071644672 .long 1991047213 .long 1067753521 .long 1455828442 .long 1072602945 .long 3758096384 .long 1015505073 .long 0 .long 1070596096 .long 240740309 .long 3215727903 .long 3489094832 .long 1072652951 .long 536870912 .long 1014325783 .long 0 .long 1070596096 .long 257503056 .long 3214647653 .long 2748392742 .long 1072683149 .long 1073741824 .long 3163061750 .long 0 .long 1069547520 .long 0 .long 0 .long 0 .long 1072693248 .long 0 .long 0 .long 0 .long 0 .long 257503056 .long 1067164005 .long 2748392742 .long 1072683149 .long 1073741824 .long 3163061750 .long 0 .long 3217031168 .long 240740309 .long 1068244255 .long 3489094832 .long 1072652951 .long 536870912 .long 1014325783 .long 0 .long 3218079744 .long 1991047213 .long 3215237169 .long 1455828442 .long 1072602945 .long 3758096384 .long 1015505073 .long 0 .long 3218079744 .long 1699043957 .long 1069418613 .long 3476196678 .long 1072533611 .long 536870912 .long 1014257638 .long 0 .long 3219128320 .long 2140183630 .long 1067272748 .long 4051746225 .long 1072445618 .long 2147483648 .long 3161907377 .long 0 .long 3219128320 .long 2598800519 .long 3215750067 .long 688824739 .long 1072339814 .long 3758096384 .long 1010431536 .long 0 .long 3219128320 .long 2485417816 .long 3217109964 .long 1796544321 .long 1072217216 .long 536870912 .long 3162686945 .long 0 .long 3219128320 .long 2583490354 .long 3217719929 .long 1719614413 .long 1072079006 .long 536870912 .long 3163282740 .long 0 .long 3219128320 .long 1403757309 .long 1070403070 .long 621354454 .long 1071926515 .long 536870912 .long 1013450602 .long 0 .long 3220176896 .long 1539668340 .long 1069912679 .long 967731400 .long 1071761211 .long 536870912 .long 1015752157 .long 0 .long 3220176896 .long 1945768569 .long 1069431400 .long 939980347 .long 1071524701 .long 536870912 .long 1012796809 .long 0 .long 3220176896 .long 2255197647 .long 1068727457 .long 2796464483 .long 1071152610 .long 3758096384 .long 3160878317 .long 0 .long 3220176896 .long 2476548698 .long 1067846634 .long 785751814 .long 1070765062 .long 2684354560 .long 3161838221 .long 0 .long 3220176896 .long 18115067 .long 1066642694 .long 1013556747 .long 1070135480 .long 3221225472 .long 3160567065 .long 0 .long 3220176896 .long 393047345 .long 1064548654 .long 3156849708 .long 1069094822 .long 3758096384 .long 3158189848 .long 0 .long 3220176896 .long 0 .long 0 .long 0 .long 0 .long 0 .long 0 .long 0 .long 3220176896 .long 393047345 .long 1064548654 .long 3156849708 .long 3216578470 .long 3758096384 .long 1010706200 .long 0 .long 3220176896 .long 18115067 .long 1066642694 .long 1013556747 .long 3217619128 .long 3221225472 .long 1013083417 .long 0 .long 3220176896 .long 2476548698 .long 1067846634 .long 785751814 .long 3218248710 .long 2684354560 .long 1014354573 .long 0 .long 3220176896 .long 2255197647 .long 1068727457 .long 2796464483 .long 3218636258 .long 3758096384 .long 1013394669 .long 0 .long 3220176896 .long 1945768569 .long 1069431400 .long 939980347 .long 3219008349 .long 536870912 .long 3160280457 .long 0 .long 3220176896 .long 1539668340 .long 1069912679 .long 967731400 .long 3219244859 .long 536870912 .long 3163235805 .long 0 .long 3220176896 .long 1403757309 .long 1070403070 .long 621354454 .long 3219410163 .long 536870912 .long 3160934250 .long 0 .long 3220176896 .long 2583490354 .long 3217719929 .long 1719614413 .long 3219562654 .long 536870912 .long 1015799092 .long 0 .long 3219128320 .long 2485417816 .long 3217109964 .long 1796544321 .long 3219700864 .long 536870912 .long 1015203297 .long 0 .long 3219128320 .long 2598800519 .long 3215750067 .long 688824739 .long 3219823462 .long 3758096384 .long 3157915184 .long 0 .long 3219128320 .long 2140183630 .long 1067272748 .long 4051746225 .long 3219929266 .long 2147483648 .long 1014423729 .long 0 .long 3219128320 .long 1699043957 .long 1069418613 .long 3476196678 .long 3220017259 .long 536870912 .long 3161741286 .long 0 .long 3219128320 .long 1991047213 .long 3215237169 .long 1455828442 .long 3220086593 .long 3758096384 .long 3162988721 .long 0 .long 3218079744 .long 240740309 .long 1068244255 .long 3489094832 .long 3220136599 .long 536870912 .long 3161809431 .long 0 .long 3218079744 .long 257503056 .long 1067164005 .long 2748392742 .long 3220166797 .long 1073741824 .long 1015578102 .long 0 .long 3217031168 .long 0 .long 0 .long 0 .long 3220176896 .long 0 .long 0 .long 0 .long 0 .long 257503056 .long 3214647653 .long 2748392742 .long 3220166797 .long 1073741824 .long 1015578102 .long 0 .long 1069547520 .long 240740309 .long 3215727903 .long 3489094832 .long 3220136599 .long 536870912 .long 3161809431 .long 0 .long 1070596096 .long 1991047213 .long 1067753521 .long 1455828442 .long 3220086593 .long 3758096384 .long 3162988721 .long 0 .long 1070596096 .long 1699043957 .long 3216902261 .long 3476196678 .long 3220017259 .long 536870912 .long 3161741286 .long 0 .long 1071644672 .long 2140183630 .long 3214756396 .long 4051746225 .long 3219929266 .long 2147483648 .long 1014423729 .long 0 .long 1071644672 .long 2598800519 .long 1068266419 .long 688824739 .long 3219823462 .long 3758096384 .long 3157915184 .long 0 .long 1071644672 .long 2485417816 .long 1069626316 .long 1796544321 .long 3219700864 .long 536870912 .long 1015203297 .long 0 .long 1071644672 .long 2583490354 .long 1070236281 .long 1719614413 .long 3219562654 .long 536870912 .long 1015799092 .long 0 .long 1071644672 .long 1403757309 .long 3217886718 .long 621354454 .long 3219410163 .long 536870912 .long 3160934250 .long 0 .long 1072693248 .long 1539668340 .long 3217396327 .long 967731400 .long 3219244859 .long 536870912 .long 3163235805 .long 0 .long 1072693248 .long 1945768569 .long 3216915048 .long 939980347 .long 3219008349 .long 536870912 .long 3160280457 .long 0 .long 1072693248 .long 2255197647 .long 3216211105 .long 2796464483 .long 3218636258 .long 3758096384 .long 1013394669 .long 0 .long 1072693248 .long 2476548698 .long 3215330282 .long 785751814 .long 3218248710 .long 2684354560 .long 1014354573 .long 0 .long 1072693248 .long 18115067 .long 3214126342 .long 1013556747 .long 3217619128 .long 3221225472 .long 1013083417 .long 0 .long 1072693248 .long 393047345 .long 3212032302 .long 3156849708 .long 3216578470 .long 3758096384 .long 1010706200 .long 0 .long 1072693248 .type Ctable,@object .size Ctable,2048 .align 16 SC_2: .long 286331153 .long 1065423121 .long 1431655765 .long 1067799893 .type SC_2,@object .size SC_2,16 .align 16 SC_3: .long 436314138 .long 3207201184 .long 381774871 .long 3210133868 .type SC_3,@object .size SC_3,16 .align 16 SC_1: .long 1431655765 .long 3217380693 .long 0 .long 3219128320 .type SC_1,@object .size SC_1,16 .align 16 PI_INV_TABLE: .long 0 .long 0 .long 2734261102 .long 1313084713 .long 4230436817 .long 4113882560 .long 3680671129 .long 1011060801 .long 4266746795 .long 3736847713 .long 3072618042 .long 1112396512 .long 105459434 .long 164729372 .long 4263373596 .long 2972297022 .long 3900847605 .long 784024708 .long 3919343654 .long 3026157121 .long 965858873 .long 2203269620 .long 2625920907 .long 3187222587 .long 536385535 .long 3724908559 .long 4012839307 .long 1510632735 .long 1832287951 .long 667617719 .long 1330003814 .long 2657085997 .long 1965537991 .long 3957715323 .long 1023883767 .long 2320667370 .long 1811636145 .long 529358088 .long 1443049542 .long 4235946923 .long 4040145953 .type PI_INV_TABLE,@object .size PI_INV_TABLE,164 .space 12, 0x00 # pad .align 16 PI_4: .long 1073741824 .long 1072243195 .long 407279769 .long 1046758445 .type PI_4,@object .size PI_4,16 .align 8 PI32INV: .long 1841940611 .long 1076125488 .type PI32INV,@object .size PI32INV,8 .align 8 SIGN_MASK: .long 0 .long 2147483648 .type SIGN_MASK,@object .size SIGN_MASK,8 .align 8 P_1: .long 1413480448 .long 1069097467 .type P_1,@object .size P_1,8 .align 8 P_3: .long 771977331 .long 996350346 .type P_3,@object .size P_3,8 .align 8 ONE: .long 0 .long 1072693248 .type ONE,@object .size ONE,8 .align 8 NEG_ZERO: .long 0 .long 2147483648 .type NEG_ZERO,@object .size NEG_ZERO,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 0x0000002c .4byte 0x0000001c .4byte ..___tag_value_cos.1-. .4byte ..___tag_value_cos.9-..___tag_value_cos.1 .2byte 0x0400 .4byte ..___tag_value_cos.3-..___tag_value_cos.1 .4byte 0x0283100e .byte 0x04 .4byte ..___tag_value_cos.5-..___tag_value_cos.3 .2byte 0x200e .byte 0x04 .4byte ..___tag_value_cos.6-..___tag_value_cos.5 .4byte 0x04c3100e .4byte ..___tag_value_cos.8-..___tag_value_cos.6 .2byte 0x080e # End