|  | /* | 
|  | 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 | 
|  | //                     --------------------- | 
|  | // | 
|  | //  cosh(x)=(exp(x)+exp(-x))/2 | 
|  | // | 
|  | //  Let |x|=xH+xL (upper 26 bits, lower 27 bits) | 
|  | //  log2(e) rounded to 26 bits (high part) plus a double precision low part is | 
|  | //          L2EH+L2EL (upper 26, lower 53 bits) | 
|  | // | 
|  | //  Let xH*L2EH=k+f+r`, where (k+f)*2^7=int(xH*L2EH*2^7), | 
|  | //                              f=0.b1 b2 ... b7, k integer | 
|  | //  2^f is approximated as Tp[f]+Dp[f], and 2^{-f} as Tn[f]+Dn[f] | 
|  | //  Tp stores higher 53 bits, Dp stores (2^f-Tp[f]) rounded to double precision | 
|  | // | 
|  | //  e^|x|=2^{k+f}*2^r, r=r`+xL*L2EH+|x|*L2EL, |r|<2^{-8}+2^{-14}, | 
|  | //                       for |x| in [1/8,3*2^8) | 
|  | //  e^{-|x|}=2^{-k-f}*2^{-r} | 
|  | // | 
|  | //  e^|x| is approximated as 2^k*Tp+2^k*Tp*c1*r(1+c2*r+..+c5*r^4)+2^k*Dp= | 
|  | //                           =2^k*Tp+2^k*Tp*P15+2^k*Dp | 
|  | //  e^{-|x|} approximated as 2^{-k}*Tn-2^{-k}*Tn*c1*r(1-c2*r+..+c5*r^4) | 
|  | // | 
|  | //  For |x| in [1/8, 3*2^7), cosh(x) is formed as | 
|  | //   RN(2^k*Tp+2^{-k}*Tn)+2^k*Tp*P15+2^{-k}*Tn*P`15+2^{-k}*TnL+2^{-k}*Dn+2^k*Dp | 
|  | // | 
|  | //  For |x| in [3*2^7, 3*2^8), (e^|x|)/2 is returned, and | 
|  | //  the result is checked for overflow. | 
|  | // | 
|  | //  For |x|<1/8, a Taylor polynomial expansion is used (degree 10) | 
|  | //  (error bound for polynomial expansion is below 0.501 ulp) | 
|  | // | 
|  | // Special cases: | 
|  | //  cosh(NaN) = quiet NaN, and raise invalid exception | 
|  | //  cosh(INF) = that INF | 
|  | //  cosh(0)=1 | 
|  | //  for finite argument, only cosh(0)=1 is exact | 
|  | //  For IEEE double | 
|  | //  cosh(x) overflows | 
|  | //  for x > 710.47586007394386342639336362481117248535156250 = MAXLOG+log(2) | 
|  | // | 
|  | /******************************************************************************/ | 
|  |  | 
|  | #include <private/bionic_asm.h> | 
|  | # -- Begin  static_func | 
|  | .text | 
|  | .align __bionic_asm_align | 
|  | .type static_func, @function | 
|  | static_func: | 
|  | ..B1.1: | 
|  | call      ..L2 | 
|  | ..L2: | 
|  | popl      %eax | 
|  | lea       _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax | 
|  | lea       static_const_table@GOTOFF(%eax), %eax | 
|  | ret | 
|  | .size   static_func,.-static_func | 
|  | # -- End  static_func | 
|  |  | 
|  | # -- Begin  cosh | 
|  | ENTRY(cosh) | 
|  | # parameter 1: 8 + %ebp | 
|  | ..B2.1: | 
|  | ..B2.2: | 
|  | pushl     %ebp | 
|  | movl      %esp, %ebp | 
|  | subl      $104, %esp | 
|  | movl      %ebx, 40(%esp) | 
|  | call      static_func | 
|  | movl      %eax, %ebx | 
|  | movsd     112(%esp), %xmm0 | 
|  | movsd     4240(%ebx), %xmm3 | 
|  | xorpd     %xmm4, %xmm4 | 
|  | movsd     4192(%ebx), %xmm1 | 
|  | movsd     4200(%ebx), %xmm2 | 
|  | movl      $32768, %eax | 
|  | pinsrw    $3, %eax, %xmm4 | 
|  | movsd     4096(%ebx), %xmm6 | 
|  | pextrw    $3, %xmm0, %ecx | 
|  | andpd     %xmm0, %xmm3 | 
|  | andnpd    %xmm0, %xmm4 | 
|  | pshufd    $68, %xmm4, %xmm5 | 
|  | andl      $32767, %ecx | 
|  | subl      $16320, %ecx | 
|  | cmpl      $200, %ecx | 
|  | jae       .L_2TAG_PACKET_0.0.2 | 
|  | subsd     %xmm3, %xmm4 | 
|  | mulsd     %xmm1, %xmm3 | 
|  | mulsd     %xmm5, %xmm2 | 
|  | cvtsd2si  %xmm3, %eax | 
|  | movapd    %xmm3, %xmm7 | 
|  | addsd     %xmm6, %xmm3 | 
|  | mulsd     %xmm4, %xmm1 | 
|  | xorpd     %xmm5, %xmm5 | 
|  | subsd     %xmm6, %xmm3 | 
|  | movapd    4112(%ebx), %xmm4 | 
|  | addsd     %xmm1, %xmm2 | 
|  | movapd    4128(%ebx), %xmm6 | 
|  | subsd     %xmm3, %xmm7 | 
|  | movl      $32704, %edx | 
|  | pinsrw    $3, %edx, %xmm5 | 
|  | movapd    4144(%ebx), %xmm1 | 
|  | addsd     %xmm7, %xmm2 | 
|  | movl      $127, %edx | 
|  | andl      %eax, %edx | 
|  | addl      %edx, %edx | 
|  | shrl      $3, %eax | 
|  | andl      $65520, %eax | 
|  | addl      $16352, %eax | 
|  | xorpd     %xmm0, %xmm0 | 
|  | cmpl      $184, %ecx | 
|  | jae       .L_2TAG_PACKET_1.0.2 | 
|  | pshufd    $68, %xmm5, %xmm5 | 
|  | pinsrw    $3, %eax, %xmm0 | 
|  | pshufd    $68, %xmm0, %xmm0 | 
|  | psubw     %xmm0, %xmm5 | 
|  | mulpd     (%ebx,%edx,8), %xmm0 | 
|  | mulpd     2048(%ebx,%edx,8), %xmm5 | 
|  | pshufd    $68, %xmm2, %xmm3 | 
|  | movapd    4160(%ebx), %xmm7 | 
|  | pshufd    $68, %xmm2, %xmm2 | 
|  | mulpd     %xmm3, %xmm3 | 
|  | mulpd     %xmm2, %xmm4 | 
|  | mulpd     %xmm2, %xmm6 | 
|  | mulpd     4176(%ebx), %xmm2 | 
|  | mulpd     %xmm3, %xmm1 | 
|  | mulpd     %xmm3, %xmm7 | 
|  | mulpd     %xmm3, %xmm4 | 
|  | mulpd     %xmm3, %xmm1 | 
|  | addpd     %xmm7, %xmm6 | 
|  | movapd    %xmm0, %xmm7 | 
|  | addpd     %xmm1, %xmm4 | 
|  | shufpd    $0, %xmm5, %xmm7 | 
|  | addpd     %xmm5, %xmm0 | 
|  | mulpd     %xmm7, %xmm2 | 
|  | addpd     %xmm6, %xmm4 | 
|  | subsd     %xmm0, %xmm7 | 
|  | mulpd     %xmm2, %xmm4 | 
|  | pshufd    $238, %xmm0, %xmm6 | 
|  | addsd     %xmm5, %xmm7 | 
|  | addpd     %xmm2, %xmm4 | 
|  | addsd     %xmm6, %xmm7 | 
|  | pshufd    $238, %xmm4, %xmm2 | 
|  | addsd     %xmm7, %xmm2 | 
|  | addsd     %xmm4, %xmm2 | 
|  | addsd     %xmm2, %xmm0 | 
|  | jmp       .L_2TAG_PACKET_2.0.2 | 
|  | .L_2TAG_PACKET_0.0.2: | 
|  | addl      $16320, %ecx | 
|  | cmpl      $16320, %ecx | 
|  | ja        .L_2TAG_PACKET_3.0.2 | 
|  | cmpl      $15952, %ecx | 
|  | jae       .L_2TAG_PACKET_4.0.2 | 
|  | addsd     %xmm2, %xmm6 | 
|  | movsd     4248(%ebx), %xmm0 | 
|  | jmp       .L_2TAG_PACKET_2.0.2 | 
|  | .L_2TAG_PACKET_1.0.2: | 
|  | subl      $16352, %eax | 
|  | movl      %eax, %ecx | 
|  | andl      $32752, %eax | 
|  | shrl      $1, %eax | 
|  | andl      $65520, %eax | 
|  | subl      %eax, %ecx | 
|  | addl      $16352, %eax | 
|  | pinsrw    $3, %eax, %xmm0 | 
|  | pshufd    $68, %xmm0, %xmm0 | 
|  | mulpd     (%ebx,%edx,8), %xmm0 | 
|  | pshufd    $68, %xmm2, %xmm3 | 
|  | movsd     4160(%ebx), %xmm7 | 
|  | mulsd     %xmm3, %xmm3 | 
|  | mulsd     %xmm2, %xmm4 | 
|  | mulsd     %xmm2, %xmm6 | 
|  | mulsd     4176(%ebx), %xmm2 | 
|  | mulsd     %xmm3, %xmm1 | 
|  | mulsd     %xmm3, %xmm7 | 
|  | mulsd     %xmm3, %xmm4 | 
|  | addl      $16368, %ecx | 
|  | pinsrw    $3, %ecx, %xmm5 | 
|  | mulsd     %xmm3, %xmm1 | 
|  | addsd     %xmm7, %xmm6 | 
|  | addsd     %xmm1, %xmm4 | 
|  | mulsd     %xmm0, %xmm2 | 
|  | addsd     %xmm6, %xmm4 | 
|  | mulsd     %xmm2, %xmm4 | 
|  | pshufd    $238, %xmm0, %xmm6 | 
|  | addsd     %xmm6, %xmm4 | 
|  | addsd     %xmm4, %xmm2 | 
|  | addsd     %xmm2, %xmm0 | 
|  | mulsd     %xmm5, %xmm0 | 
|  | pextrw    $3, %xmm0, %eax | 
|  | andl      $32752, %eax | 
|  | movl      $64, %edx | 
|  | cmpl      $32752, %eax | 
|  | je        .L_2TAG_PACKET_5.0.2 | 
|  | jmp       .L_2TAG_PACKET_2.0.2 | 
|  | .L_2TAG_PACKET_4.0.2: | 
|  | movapd    4208(%ebx), %xmm1 | 
|  | mulpd     %xmm5, %xmm5 | 
|  | movapd    4224(%ebx), %xmm2 | 
|  | xorpd     %xmm3, %xmm3 | 
|  | movapd    %xmm5, %xmm0 | 
|  | mulpd     %xmm5, %xmm1 | 
|  | movsd     4248(%ebx), %xmm6 | 
|  | mulpd     %xmm5, %xmm5 | 
|  | movl      $16352, %eax | 
|  | pinsrw    $3, %eax, %xmm3 | 
|  | addpd     %xmm2, %xmm1 | 
|  | mulpd     %xmm5, %xmm1 | 
|  | pshufd    $238, %xmm1, %xmm2 | 
|  | mulsd     %xmm1, %xmm5 | 
|  | mulsd     %xmm3, %xmm0 | 
|  | addsd     %xmm5, %xmm2 | 
|  | addsd     %xmm2, %xmm0 | 
|  | addsd     %xmm6, %xmm0 | 
|  | jmp       .L_2TAG_PACKET_2.0.2 | 
|  | .L_2TAG_PACKET_3.0.2: | 
|  | cmpl      $32752, %ecx | 
|  | jae       .L_2TAG_PACKET_6.0.2 | 
|  | xorpd     %xmm0, %xmm0 | 
|  | movl      $32736, %eax | 
|  | pinsrw    $3, %eax, %xmm0 | 
|  | mulsd     %xmm0, %xmm0 | 
|  | movl      $64, %edx | 
|  | .L_2TAG_PACKET_5.0.2: | 
|  | movsd     %xmm0, (%esp) | 
|  | movsd     112(%esp), %xmm0 | 
|  | fldl      (%esp) | 
|  | jmp       .L_2TAG_PACKET_7.0.2 | 
|  | .L_2TAG_PACKET_6.0.2: | 
|  | mulsd     %xmm0, %xmm0 | 
|  | jmp       .L_2TAG_PACKET_2.0.2 | 
|  | .L_2TAG_PACKET_2.0.2: | 
|  | movsd     %xmm0, 24(%esp) | 
|  | fldl      24(%esp) | 
|  | .L_2TAG_PACKET_7.0.2: | 
|  | movl      40(%esp), %ebx | 
|  | movl      %ebp, %esp | 
|  | popl      %ebp | 
|  | ret | 
|  | ..B2.3: | 
|  | END(cosh) | 
|  | # -- End  cosh | 
|  |  | 
|  | # Start file scope ASM | 
|  | ALIAS_SYMBOL(coshl, cosh); | 
|  | # End file scope ASM | 
|  | .section .rodata, "a" | 
|  | .align 16 | 
|  | .align 16 | 
|  | static_const_table: | 
|  | .long	0 | 
|  | .long	1072693248 | 
|  | .long	0 | 
|  | .long	0 | 
|  | .long	2851812149 | 
|  | .long	1072698941 | 
|  | .long	2595802551 | 
|  | .long	1016815913 | 
|  | .long	1048019041 | 
|  | .long	1072704666 | 
|  | .long	1398474845 | 
|  | .long	3161559171 | 
|  | .long	3899555717 | 
|  | .long	1072710421 | 
|  | .long	427280750 | 
|  | .long	3163595548 | 
|  | .long	3541402996 | 
|  | .long	1072716208 | 
|  | .long	2759177317 | 
|  | .long	1015903202 | 
|  | .long	702412510 | 
|  | .long	1072722027 | 
|  | .long	3803266087 | 
|  | .long	3163328991 | 
|  | .long	410360776 | 
|  | .long	1072727877 | 
|  | .long	1269990655 | 
|  | .long	1013024446 | 
|  | .long	3402036099 | 
|  | .long	1072733758 | 
|  | .long	405889334 | 
|  | .long	1016154232 | 
|  | .long	1828292879 | 
|  | .long	1072739672 | 
|  | .long	1255956747 | 
|  | .long	1016636974 | 
|  | .long	728909815 | 
|  | .long	1072745618 | 
|  | .long	383930225 | 
|  | .long	1016078044 | 
|  | .long	852742562 | 
|  | .long	1072751596 | 
|  | .long	667253586 | 
|  | .long	1010842135 | 
|  | .long	2952712987 | 
|  | .long	1072757606 | 
|  | .long	3293494651 | 
|  | .long	3161168877 | 
|  | .long	3490863953 | 
|  | .long	1072763649 | 
|  | .long	960797498 | 
|  | .long	3163997456 | 
|  | .long	3228316108 | 
|  | .long	1072769725 | 
|  | .long	3010241991 | 
|  | .long	3159471380 | 
|  | .long	2930322912 | 
|  | .long	1072775834 | 
|  | .long	2599499422 | 
|  | .long	3163762623 | 
|  | .long	3366293073 | 
|  | .long	1072781976 | 
|  | .long	3119426314 | 
|  | .long	1015169130 | 
|  | .long	1014845819 | 
|  | .long	1072788152 | 
|  | .long	3117910646 | 
|  | .long	3162607681 | 
|  | .long	948735466 | 
|  | .long	1072794361 | 
|  | .long	3516338028 | 
|  | .long	3163623459 | 
|  | .long	3949972341 | 
|  | .long	1072800603 | 
|  | .long	2068408548 | 
|  | .long	1015962444 | 
|  | .long	2214878420 | 
|  | .long	1072806880 | 
|  | .long	892270087 | 
|  | .long	3164164998 | 
|  | .long	828946858 | 
|  | .long	1072813191 | 
|  | .long	10642492 | 
|  | .long	1016988014 | 
|  | .long	586995997 | 
|  | .long	1072819536 | 
|  | .long	41662348 | 
|  | .long	3163676568 | 
|  | .long	2288159958 | 
|  | .long	1072825915 | 
|  | .long	2169144469 | 
|  | .long	1015924597 | 
|  | .long	2440944790 | 
|  | .long	1072832329 | 
|  | .long	2492769774 | 
|  | .long	1015196030 | 
|  | .long	1853186616 | 
|  | .long	1072838778 | 
|  | .long	3066496371 | 
|  | .long	1016705150 | 
|  | .long	1337108031 | 
|  | .long	1072845262 | 
|  | .long	3203724452 | 
|  | .long	1015726421 | 
|  | .long	1709341917 | 
|  | .long	1072851781 | 
|  | .long	2571168217 | 
|  | .long	1015201075 | 
|  | .long	3790955393 | 
|  | .long	1072858335 | 
|  | .long	2352942462 | 
|  | .long	3164228666 | 
|  | .long	4112506593 | 
|  | .long	1072864925 | 
|  | .long	2947355221 | 
|  | .long	1015419624 | 
|  | .long	3504003472 | 
|  | .long	1072871551 | 
|  | .long	3594001060 | 
|  | .long	3158379228 | 
|  | .long	2799960843 | 
|  | .long	1072878213 | 
|  | .long	1423655381 | 
|  | .long	1016070727 | 
|  | .long	2839424854 | 
|  | .long	1072884911 | 
|  | .long	1171596163 | 
|  | .long	1014090255 | 
|  | .long	171030293 | 
|  | .long	1072891646 | 
|  | .long	3526460132 | 
|  | .long	1015477354 | 
|  | .long	4232894513 | 
|  | .long	1072898416 | 
|  | .long	2383938684 | 
|  | .long	1015717095 | 
|  | .long	2992903935 | 
|  | .long	1072905224 | 
|  | .long	2218154406 | 
|  | .long	1016276769 | 
|  | .long	1603444721 | 
|  | .long	1072912069 | 
|  | .long	1548633640 | 
|  | .long	3163249902 | 
|  | .long	926591435 | 
|  | .long	1072918951 | 
|  | .long	3208833762 | 
|  | .long	3163962090 | 
|  | .long	1829099622 | 
|  | .long	1072925870 | 
|  | .long	1016661181 | 
|  | .long	3164509581 | 
|  | .long	887463927 | 
|  | .long	1072932827 | 
|  | .long	3596744163 | 
|  | .long	3161842742 | 
|  | .long	3272845541 | 
|  | .long	1072939821 | 
|  | .long	928852419 | 
|  | .long	3164536824 | 
|  | .long	1276261410 | 
|  | .long	1072946854 | 
|  | .long	300981948 | 
|  | .long	1015732745 | 
|  | .long	78413852 | 
|  | .long	1072953925 | 
|  | .long	4183226867 | 
|  | .long	3164065827 | 
|  | .long	569847338 | 
|  | .long	1072961034 | 
|  | .long	472945272 | 
|  | .long	3160339305 | 
|  | .long	3645941911 | 
|  | .long	1072968181 | 
|  | .long	3814685081 | 
|  | .long	3162621917 | 
|  | .long	1617004845 | 
|  | .long	1072975368 | 
|  | .long	82804944 | 
|  | .long	1011391354 | 
|  | .long	3978100823 | 
|  | .long	1072982593 | 
|  | .long	3513027190 | 
|  | .long	1016894539 | 
|  | .long	3049340112 | 
|  | .long	1072989858 | 
|  | .long	3062915824 | 
|  | .long	1014219171 | 
|  | .long	4040676318 | 
|  | .long	1072997162 | 
|  | .long	4090609238 | 
|  | .long	1016712034 | 
|  | .long	3577096743 | 
|  | .long	1073004506 | 
|  | .long	2951496418 | 
|  | .long	1014842263 | 
|  | .long	2583551245 | 
|  | .long	1073011890 | 
|  | .long	3161094195 | 
|  | .long	1016655067 | 
|  | .long	1990012071 | 
|  | .long	1073019314 | 
|  | .long	3529070563 | 
|  | .long	3163861769 | 
|  | .long	2731501122 | 
|  | .long	1073026778 | 
|  | .long	1774031855 | 
|  | .long	3163518597 | 
|  | .long	1453150082 | 
|  | .long	1073034283 | 
|  | .long	498154669 | 
|  | .long	3162536638 | 
|  | .long	3395129871 | 
|  | .long	1073041828 | 
|  | .long	4025345435 | 
|  | .long	3163383964 | 
|  | .long	917841882 | 
|  | .long	1073049415 | 
|  | .long	18715565 | 
|  | .long	1016707884 | 
|  | .long	3566716925 | 
|  | .long	1073057042 | 
|  | .long	1536826856 | 
|  | .long	1015191009 | 
|  | .long	3712504873 | 
|  | .long	1073064711 | 
|  | .long	88491949 | 
|  | .long	1016476236 | 
|  | .long	2321106615 | 
|  | .long	1073072422 | 
|  | .long	2171176610 | 
|  | .long	1010584347 | 
|  | .long	363667784 | 
|  | .long	1073080175 | 
|  | .long	813753950 | 
|  | .long	1016833785 | 
|  | .long	3111574537 | 
|  | .long	1073087969 | 
|  | .long	2606161479 | 
|  | .long	3163808322 | 
|  | .long	2956612997 | 
|  | .long	1073095806 | 
|  | .long	2118169751 | 
|  | .long	3163784129 | 
|  | .long	885834528 | 
|  | .long	1073103686 | 
|  | .long	1973258547 | 
|  | .long	3163310140 | 
|  | .long	2186617381 | 
|  | .long	1073111608 | 
|  | .long	2270764084 | 
|  | .long	3164321289 | 
|  | .long	3561793907 | 
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|  | .type	static_const_table,@object | 
|  | .size	static_const_table,4256 | 
|  | .data | 
|  | .section .note.GNU-stack, "" | 
|  | # End |