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| /*
| 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 *
| // <S_hi * r^2 | (C_hl + sigma) * r^3>
| //
| // 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
| //
| // If |x| < SNN (SNN meaning the smallest normal number), we
| // simply perform 0.1111111 cdots 1111 * x. For SNN <= |x|, we
| // do 2^-55 * (2^55 * x - x).
| //
| // Special cases:
| // sin(NaN) = quiet NaN, and raise invalid exception
| // sin(INF) = NaN and raise invalid exception
| // sin(+/-0) = +/-0
| //
| /******************************************************************************/
|
| #include <private/bionic_asm.h>
| # -- Begin sin
| ENTRY(sin)
| # parameter 1: %xmm0
| ..B1.1:
| ..___tag_value_sin.1:
| pushq %rbx
| ..___tag_value_sin.3:
| subq $16, %rsp
| ..___tag_value_sin.5:
| movsd %xmm0, 8(%rsp)
| ..B1.2:
| movl 12(%rsp), %eax
| movq PI32INV(%rip), %xmm1
| movq SHIFTER(%rip), %xmm2
| 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), %xmm6
| movq $0x3fb921fb54400000, %r8
| movd %r8, %xmm3
| movapd SC_4(%rip), %xmm5
| pshufd $68, %xmm0, %xmm4
| mulsd %xmm1, %xmm3
| movddup %xmm1, %xmm1
| andl $63, %edx
| shll $5, %edx
| lea Ctable(%rip), %rax
| addq %rdx, %rax
| mulpd %xmm1, %xmm6
| mulsd P_3(%rip), %xmm1
| subsd %xmm3, %xmm4
| movq 8(%rax), %xmm7
| subsd %xmm3, %xmm0
| movddup %xmm4, %xmm3
| subsd %xmm6, %xmm4
| pshufd $68, %xmm0, %xmm0
| movapd (%rax), %xmm2
| mulpd %xmm0, %xmm5
| subpd %xmm6, %xmm0
| mulsd %xmm4, %xmm7
| subsd %xmm4, %xmm3
| mulpd %xmm0, %xmm5
| mulpd %xmm0, %xmm0
| subsd %xmm6, %xmm3
| movapd SC_2(%rip), %xmm6
| 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 %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_0.0.1:
| jg .L_2TAG_PACKET_1.0.1
| shrl $20, %eax
| cmpw $3325, %ax
| jne .L_2TAG_PACKET_2.0.1
| mulsd ALL_ONES(%rip), %xmm0
| jmp ..B1.4
| .L_2TAG_PACKET_2.0.1:
| movq TWO_POW_55(%rip), %xmm3
| mulsd %xmm0, %xmm3
| subsd %xmm0, %xmm3
| mulsd TWO_POW_M55(%rip), %xmm3
| jmp ..B1.4
| .L_2TAG_PACKET_1.0.1:
| pextrw $3, %xmm0, %eax
| andl $32752, %eax
| cmpl $32752, %eax
| je .L_2TAG_PACKET_3.0.1
| 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_4.0.1
| negl %ecx
| addl $29, %ecx
| shll %cl, %r9d
| movl %r9d, %edi
| andl $536870911, %r9d
| testl $268435456, %r9d
| jne .L_2TAG_PACKET_5.0.1
| shrl %cl, %r9d
| movl $0, %ebx
| shlq $32, %r9
| orq %r11, %r9
| .L_2TAG_PACKET_6.0.1:
| .L_2TAG_PACKET_7.0.1:
| cmpq $0, %r9
| je .L_2TAG_PACKET_8.0.1
| .L_2TAG_PACKET_9.0.1:
| bsr %r9, %r11
| movl $29, %ecx
| subl %r11d, %ecx
| jle .L_2TAG_PACKET_10.0.1
| 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_11.0.1:
| 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_12.0.1:
| 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, %edx
| cvtsi2sd %edx, %xmm1
| movq P_1(%rip), %xmm3
| movapd P_2(%rip), %xmm2
| mulsd %xmm1, %xmm3
| unpcklpd %xmm1, %xmm1
| shll $3, %eax
| addl $1865216, %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_8.0.1:
| addl $64, %edx
| movq %r10, %r9
| movq %r8, %r10
| movq $0, %r8
| cmpq $0, %r9
| jne .L_2TAG_PACKET_9.0.1
| addl $64, %edx
| movq %r10, %r9
| movq %r8, %r10
| cmpq $0, %r9
| jne .L_2TAG_PACKET_9.0.1
| xorpd %xmm0, %xmm0
| xorpd %xmm6, %xmm6
| jmp .L_2TAG_PACKET_12.0.1
| .L_2TAG_PACKET_10.0.1:
| je .L_2TAG_PACKET_11.0.1
| 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_11.0.1
| .L_2TAG_PACKET_4.0.1:
| negl %ecx
| shlq $32, %r9
| orq %r11, %r9
| shlq %cl, %r9
| movq %r9, %rdi
| testl $-2147483648, %r9d
| jne .L_2TAG_PACKET_13.0.1
| shrl %cl, %r9d
| movl $0, %ebx
| shrq $3, %rdi
| jmp .L_2TAG_PACKET_7.0.1
| .L_2TAG_PACKET_5.0.1:
| 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_6.0.1
| .L_2TAG_PACKET_13.0.1:
| 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_7.0.1
| .L_2TAG_PACKET_3.0.1:
| movq 8(%rsp), %xmm0
| mulsd NEG_ZERO(%rip), %xmm0
| movq %xmm0, (%rsp)
| .L_2TAG_PACKET_14.0.1:
| ..B1.4:
| addq $16, %rsp
| ..___tag_value_sin.6:
| popq %rbx
| ..___tag_value_sin.8:
| ret
| ..___tag_value_sin.9:
| END(sin)
| # -- End sin
| .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
| SHIFTER:
| .long 0
| .long 1127743488
| .type SHIFTER,@object
| .size SHIFTER,8
| .align 8
| SIGN_MASK:
| .long 0
| .long 2147483648
| .type SIGN_MASK,@object
| .size SIGN_MASK,8
| .align 8
| P_3:
| .long 771977331
| .long 996350346
| .type P_3,@object
| .size P_3,8
| .align 8
| ALL_ONES:
| .long 4294967295
| .long 1072693247
| .type ALL_ONES,@object
| .size ALL_ONES,8
| .align 8
| TWO_POW_55:
| .long 0
| .long 1130364928
| .type TWO_POW_55,@object
| .size TWO_POW_55,8
| .align 8
| TWO_POW_M55:
| .long 0
| .long 1015021568
| .type TWO_POW_M55,@object
| .size TWO_POW_M55,8
| .align 8
| P_1:
| .long 1413480448
| .long 1069097467
| .type P_1,@object
| .size P_1,8
| .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_sin.1-.
| .4byte ..___tag_value_sin.9-..___tag_value_sin.1
| .2byte 0x0400
| .4byte ..___tag_value_sin.3-..___tag_value_sin.1
| .4byte 0x0283100e
| .byte 0x04
| .4byte ..___tag_value_sin.5-..___tag_value_sin.3
| .2byte 0x200e
| .byte 0x04
| .4byte ..___tag_value_sin.6-..___tag_value_sin.5
| .4byte 0x04c3100e
| .4byte ..___tag_value_sin.8-..___tag_value_sin.6
| .2byte 0x080e
| # End
|
|
