1766 lines
32 KiB
ArmAsm
1766 lines
32 KiB
ArmAsm
/*
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Copyright (c) 2014, Intel Corporation
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All rights reserved.
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions are met:
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* Redistributions of source code must retain the above copyright notice,
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* this list of conditions and the following disclaimer.
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* Redistributions in binary form must reproduce the above copyright notice,
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* this list of conditions and the following disclaimer in the documentation
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* and/or other materials provided with the distribution.
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* Neither the name of Intel Corporation nor the names of its contributors
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* may be used to endorse or promote products derived from this software
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* without specific prior written permission.
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
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ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
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WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
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DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
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ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
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(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
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ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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/******************************************************************************/
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// ALGORITHM DESCRIPTION
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// ---------------------
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//
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// Polynomials coefficients and other constants.
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//
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// Note that in this algorithm, there is a different polynomial for
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// each breakpoint, so there are 32 sets of polynomial coefficients
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// as well as 32 instances of the other constants.
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//
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// The polynomial coefficients and constants are offset from the start
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// of the main block as follows:
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//
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// 0: c8 | c0
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// 16: c9 | c1
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// 32: c10 | c2
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// 48: c11 | c3
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// 64: c12 | c4
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// 80: c13 | c5
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// 96: c14 | c6
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// 112: c15 | c7
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// 128: T_hi
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// 136: T_lo
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// 144: Sigma
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// 152: T_hl
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// 160: Tau
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// 168: Mask
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// 176: (end of block)
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//
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// The total table size is therefore 5632 bytes.
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//
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// Note that c0 and c1 are always zero. We could try storing
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// other constants here, and just loading the low part of the
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// SIMD register in these cases, after ensuring the high part
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// is zero.
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//
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// The higher terms of the polynomial are computed in the *low*
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// part of the SIMD register. This is so we can overlap the
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// multiplication by r^8 and the unpacking of the other part.
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//
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// The constants are:
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// T_hi + T_lo = accurate constant term in power series
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// Sigma + T_hl = accurate coefficient of r in power series (Sigma=1 bit)
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// Tau = multiplier for the reciprocal, always -1 or 0
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//
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// The basic reconstruction formula using these constants is:
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//
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// High = tau * recip_hi + t_hi
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// Med = (sgn * r + t_hl * r)_hi
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// Low = (sgn * r + t_hl * r)_lo +
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// tau * recip_lo + T_lo + (T_hl + sigma) * c + pol
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//
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// where pol = c0 + c1 * r + c2 * r^2 + ... + c15 * r^15
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//
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// (c0 = c1 = 0, but using them keeps SIMD regularity)
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//
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// We then do a compensated sum High + Med, add the low parts together
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// and then do the final sum.
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//
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// Here recip_hi + recip_lo is an accurate reciprocal of the remainder
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// modulo pi/2
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//
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// Special cases:
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// tan(NaN) = quiet NaN, and raise invalid exception
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// tan(INF) = NaN and raise invalid exception
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// tan(+/-0) = +/-0
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//
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/******************************************************************************/
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#include <private/bionic_asm.h>
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# -- Begin static_func
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.text
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.align __bionic_asm_align
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.type static_func, @function
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static_func:
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..B1.1:
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call ..L2
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..L2:
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popl %eax
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lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
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lea static_const_table@GOTOFF(%eax), %eax
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ret
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.size static_func,.-static_func
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# -- End static_func
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# -- Begin tan
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ENTRY(tan)
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# parameter 1: 8 + %ebp
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..B2.1:
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..B2.2:
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pushl %ebp
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movl %esp, %ebp
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subl $120, %esp
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movl %ebx, 56(%esp)
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call static_func
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movl %eax, %ebx
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movsd 128(%esp), %xmm0
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pextrw $3, %xmm0, %eax
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andl $32767, %eax
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subl $14368, %eax
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cmpl $2216, %eax
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ja .L_2TAG_PACKET_0.0.2
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movapd 5840(%ebx), %xmm5
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movapd 5856(%ebx), %xmm6
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unpcklpd %xmm0, %xmm0
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movapd 5712(%ebx), %xmm4
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andpd %xmm0, %xmm4
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movapd 5632(%ebx), %xmm1
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mulpd %xmm0, %xmm1
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orpd %xmm4, %xmm5
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addpd %xmm5, %xmm1
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movapd %xmm1, %xmm7
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unpckhpd %xmm7, %xmm7
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cvttsd2si %xmm7, %edx
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cvttpd2dq %xmm1, %xmm1
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cvtdq2pd %xmm1, %xmm1
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mulpd %xmm6, %xmm1
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movapd 5664(%ebx), %xmm3
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movsd 5728(%ebx), %xmm5
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addl $469248, %edx
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movapd 5680(%ebx), %xmm4
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mulpd %xmm1, %xmm3
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andl $31, %edx
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mulsd %xmm1, %xmm5
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movl %edx, %ecx
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mulpd %xmm1, %xmm4
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shll $1, %ecx
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subpd %xmm3, %xmm0
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mulpd 5696(%ebx), %xmm1
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addl %ecx, %edx
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shll $2, %ecx
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addl %ecx, %edx
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addsd %xmm0, %xmm5
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movapd %xmm0, %xmm2
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subpd %xmm4, %xmm0
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movsd 5744(%ebx), %xmm6
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shll $4, %edx
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lea (%ebx), %eax
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andpd 5776(%ebx), %xmm5
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movapd %xmm0, %xmm3
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addl %edx, %eax
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subpd %xmm0, %xmm2
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unpckhpd %xmm0, %xmm0
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divsd %xmm5, %xmm6
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subpd %xmm4, %xmm2
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movapd 16(%eax), %xmm7
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subsd %xmm5, %xmm3
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mulpd %xmm0, %xmm7
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subpd %xmm1, %xmm2
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movapd 48(%eax), %xmm1
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mulpd %xmm0, %xmm1
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movapd 96(%eax), %xmm4
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mulpd %xmm0, %xmm4
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addsd %xmm3, %xmm2
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movapd %xmm0, %xmm3
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mulpd %xmm0, %xmm0
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addpd (%eax), %xmm7
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addpd 32(%eax), %xmm1
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mulpd %xmm0, %xmm1
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addpd 80(%eax), %xmm4
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addpd %xmm1, %xmm7
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movapd 112(%eax), %xmm1
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mulpd %xmm0, %xmm1
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mulpd %xmm0, %xmm0
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addpd %xmm1, %xmm4
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movapd 64(%eax), %xmm1
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mulpd %xmm0, %xmm1
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addpd %xmm1, %xmm7
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movapd %xmm3, %xmm1
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mulpd %xmm0, %xmm3
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mulsd %xmm0, %xmm0
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mulpd 144(%eax), %xmm1
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mulpd %xmm3, %xmm4
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movapd %xmm1, %xmm3
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addpd %xmm4, %xmm7
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movapd %xmm1, %xmm4
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mulsd %xmm7, %xmm0
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unpckhpd %xmm7, %xmm7
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addsd %xmm7, %xmm0
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unpckhpd %xmm1, %xmm1
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addsd %xmm1, %xmm3
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subsd %xmm3, %xmm4
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addsd %xmm4, %xmm1
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movapd %xmm2, %xmm4
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movsd 144(%eax), %xmm7
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unpckhpd %xmm2, %xmm2
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addsd 152(%eax), %xmm7
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mulsd %xmm2, %xmm7
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addsd 136(%eax), %xmm7
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addsd %xmm1, %xmm7
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addsd %xmm7, %xmm0
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movsd 5744(%ebx), %xmm7
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mulsd %xmm6, %xmm4
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movsd 168(%eax), %xmm2
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andpd %xmm6, %xmm2
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mulsd %xmm2, %xmm5
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mulsd 160(%eax), %xmm6
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subsd %xmm5, %xmm7
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subsd 128(%eax), %xmm2
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subsd %xmm4, %xmm7
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mulsd %xmm6, %xmm7
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movapd %xmm3, %xmm4
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subsd %xmm2, %xmm3
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addsd %xmm3, %xmm2
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subsd %xmm2, %xmm4
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addsd %xmm4, %xmm0
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subsd %xmm7, %xmm0
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addsd %xmm3, %xmm0
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movsd %xmm0, (%esp)
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fldl (%esp)
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jmp .L_2TAG_PACKET_1.0.2
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.L_2TAG_PACKET_0.0.2:
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jg .L_2TAG_PACKET_2.0.2
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shrl $4, %eax
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cmpl $268434558, %eax
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jne .L_2TAG_PACKET_3.0.2
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movapd %xmm0, %xmm3
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mulsd 5808(%ebx), %xmm3
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.L_2TAG_PACKET_3.0.2:
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movsd 5792(%ebx), %xmm3
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mulsd %xmm0, %xmm3
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addsd %xmm0, %xmm3
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mulsd 5808(%ebx), %xmm3
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movsd %xmm3, (%esp)
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fldl (%esp)
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jmp .L_2TAG_PACKET_1.0.2
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.L_2TAG_PACKET_2.0.2:
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movq 5712(%ebx), %xmm7
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andpd %xmm0, %xmm7
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xorpd %xmm0, %xmm7
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ucomisd 5760(%ebx), %xmm7
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je .L_2TAG_PACKET_4.0.2
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subl $32, %esp
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movsd %xmm0, (%esp)
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lea 40(%esp), %eax
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movl %eax, 8(%esp)
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movl $2, %eax
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movl %eax, 12(%esp)
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call __libm_tancot_huge
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addl $32, %esp
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fldl 8(%esp)
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jmp .L_2TAG_PACKET_1.0.2
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.L_2TAG_PACKET_4.0.2:
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movq %xmm0, (%esp)
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fldl (%esp)
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fsubl (%esp)
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.L_2TAG_PACKET_1.0.2:
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movl 56(%esp), %ebx
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movl %ebp, %esp
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popl %ebp
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ret
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..B2.3:
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END(tan)
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# -- End tan
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# Start file scope ASM
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ALIAS_SYMBOL(tanl, tan);
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# End file scope ASM
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.section .rodata, "a"
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.align 16
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.align 16
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static_const_table:
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.long 0
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.long 0
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.long 0
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.long 0
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.long 2284589306
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.long 1066820852
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.long 0
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.long 0
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.long 0
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.long 0
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.long 0
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.long 0
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.long 1441186365
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.long 1065494243
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.long 1431655765
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.long 1070945621
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.long 0
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.long 0
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.long 0
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.long 0
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.long 236289504
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.long 1064135997
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.long 286331153
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.long 1069617425
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.long 0
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.long 0
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.long 0
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.long 0
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.long 1160476131
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.long 1062722102
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.long 463583772
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.long 1068212666
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.long 0
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.long 0
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.long 0
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.long 0
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.long 0
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.long 1072693248
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.long 0
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.long 0
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.long 0
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.long 0
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.long 0
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.long 0
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.long 1313038235
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.long 1066745731
|
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.long 0
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.long 0
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.long 1013878342
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.long 1067152618
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.long 0
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.long 0
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.long 3663426833
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.long 1065725283
|
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.long 3693284251
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.long 1069118808
|
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.long 650852232
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.long 1065882376
|
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.long 1996245381
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.long 1071000265
|
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.long 2008746170
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.long 1064664197
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.long 3055842593
|
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.long 1068578846
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.long 1495406348
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.long 1064652437
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.long 2269530157
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.long 1069711235
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.long 285563696
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.long 1063576465
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.long 1046897440
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.long 1067705865
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.long 233429731
|
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.long 1063453151
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.long 522045958
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.long 1068476590
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.long 2354785698
|
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.long 1069102779
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.long 1317599141
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.long 1012432133
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.long 0
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.long 1072693248
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|
.long 2828230105
|
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.long 1065606626
|
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.long 0
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|
.long 0
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|
.long 0
|
|
.long 0
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.long 1512545955
|
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.long 1068119047
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|
.long 0
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.long 0
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.long 1127048698
|
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.long 1067909459
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.long 0
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|
.long 0
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|
.long 2300200450
|
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.long 1067254767
|
|
.long 3593250296
|
|
.long 1070233561
|
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.long 3009365544
|
|
.long 1066902117
|
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.long 1127373050
|
|
.long 1071173457
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.long 3046103305
|
|
.long 1066371299
|
|
.long 24583402
|
|
.long 1069723988
|
|
.long 4082511758
|
|
.long 1065914199
|
|
.long 3223889699
|
|
.long 1070020367
|
|
.long 548927984
|
|
.long 1065415756
|
|
.long 558065897
|
|
.long 1068949418
|
|
.long 680073315
|
|
.long 1064940726
|
|
.long 388873200
|
|
.long 1068944270
|
|
.long 3763679576
|
|
.long 1070167541
|
|
.long 1497360404
|
|
.long 1009710547
|
|
.long 0
|
|
.long 1072693248
|
|
.long 64931152
|
|
.long 1067729411
|
|
.long 0
|
|
.long 0
|
|
.long 0
|
|
.long 0
|
|
.long 2467582782
|
|
.long 1069256389
|
|
.long 0
|
|
.long 0
|
|
.long 162150096
|
|
.long 1068946420
|
|
.long 0
|
|
.long 0
|
|
.long 3702794237
|
|
.long 1068579152
|
|
.long 3631919291
|
|
.long 1070936926
|
|
.long 3456821413
|
|
.long 1068217218
|
|
.long 2031366438
|
|
.long 1071495745
|
|
.long 1596664020
|
|
.long 1067799281
|
|
.long 1509038701
|
|
.long 1070601643
|
|
.long 583171477
|
|
.long 1067510148
|
|
.long 3785344682
|
|
.long 1070618476
|
|
.long 2402036048
|
|
.long 1067075736
|
|
.long 3233018412
|
|
.long 1069913186
|
|
.long 411280568
|
|
.long 1066710556
|
|
.long 1065584192
|
|
.long 1069747896
|
|
.long 895247324
|
|
.long 1070819848
|
|
.long 500078909
|
|
.long 3161288781
|
|
.long 0
|
|
.long 1072693248
|
|
.long 729983843
|
|
.long 1068994194
|
|
.long 0
|
|
.long 0
|
|
.long 0
|
|
.long 0
|
|
.long 1458794562
|
|
.long 1070398550
|
|
.long 0
|
|
.long 0
|
|
.long 2857777489
|
|
.long 1070137637
|
|
.long 0
|
|
.long 0
|
|
.long 1024359517
|
|
.long 1069876531
|
|
.long 2616040238
|
|
.long 1071582937
|
|
.long 1609024636
|
|
.long 1069675088
|
|
.long 2529240549
|
|
.long 1071836633
|
|
.long 1510128600
|
|
.long 1069440113
|
|
.long 2251697184
|
|
.long 1071253687
|
|
.long 1262761453
|
|
.long 1069142850
|
|
.long 1263091857
|
|
.long 1071190461
|
|
.long 3043383486
|
|
.long 1068885191
|
|
.long 2476932470
|
|
.long 1070842002
|
|
.long 3659995028
|
|
.long 1068669200
|
|
.long 855891755
|
|
.long 1070696894
|
|
.long 2583490354
|
|
.long 1071284857
|
|
.long 3062633575
|
|
.long 1014008623
|
|
.long 0
|
|
.long 1072693248
|
|
.long 2550940471
|
|
.long 1069938201
|
|
.long 0
|
|
.long 0
|
|
.long 0
|
|
.long 0
|
|
.long 3422807297
|
|
.long 1071640847
|
|
.long 0
|
|
.long 0
|
|
.long 1151658053
|
|
.long 1071494715
|
|
.long 0
|
|
.long 0
|
|
.long 929607071
|
|
.long 1071346340
|
|
.long 1037049034
|
|
.long 1072037305
|
|
.long 2786928657
|
|
.long 1071215282
|
|
.long 1447406859
|
|
.long 1072265209
|
|
.long 3490952107
|
|
.long 1071090851
|
|
.long 3205232916
|
|
.long 1071968658
|
|
.long 1297344304
|
|
.long 1070977120
|
|
.long 1066110976
|
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|
|
.long 0
|
|
.long 0
|
|
.long 1071644672
|
|
.long 0
|
|
.long 1071644672
|
|
.long 0
|
|
.long 1076887552
|
|
.long 0
|
|
.long 1072693248
|
|
.type static_const_table,@object
|
|
.size static_const_table,5872
|
|
.data
|
|
.hidden __libm_tancot_huge
|
|
.section .note.GNU-stack, ""
|
|
# End
|