| |
| # |
| # (C) 2008-2009 Advanced Micro Devices, Inc. All Rights Reserved. |
| # |
| # This file is part of libacml_mv. |
| # |
| # libacml_mv is free software; you can redistribute it and/or |
| # modify it under the terms of the GNU Lesser General Public |
| # License as published by the Free Software Foundation; either |
| # version 2.1 of the License, or (at your option) any later version. |
| # |
| # libacml_mv is distributed in the hope that it will be useful, |
| # but WITHOUT ANY WARRANTY; without even the implied warranty of |
| # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| # Lesser General Public License for more details. |
| # |
| # You should have received a copy of the GNU Lesser General Public |
| # License along with libacml_mv. If not, see |
| # <http://www.gnu.org/licenses/>. |
| # |
| # |
| |
| |
| #include "fn_macros.h" |
| #define fname FN_PROTOTYPE(exp10) |
| #define fname_special _exp10_special@PLT |
| #ifdef __ELF__ |
| .section .note.GNU-stack,"",@progbits |
| #endif |
| |
| .text |
| .p2align 4 |
| .globl fname |
| .type fname,@function |
| fname: |
| ucomisd .L__max_exp10_arg(%rip), %xmm0 |
| jae .L__y_is_inf |
| jp .L__y_is_nan |
| ucomisd .L__min_exp10_arg(%rip), %xmm0 |
| jbe .L__y_is_zero |
| |
| # x * (64/log10(2)) |
| movapd %xmm0,%xmm1 |
| mulsd .L__real_64_by_log10of2(%rip), %xmm1 |
| |
| # n = int( x * (64/log10(2)) ) |
| cvttpd2dq %xmm1, %xmm2 #xmm2 = (int)n |
| cvtdq2pd %xmm2, %xmm1 #xmm1 = (double)n |
| movd %xmm2, %ecx |
| movapd %xmm1,%xmm2 |
| # r1 = x - n * log10(2)/64 head |
| mulsd .L__log10of2_by_64_mhead(%rip),%xmm1 |
| |
| #j = n & 0x3f |
| mov $0x3f, %rax |
| and %ecx, %eax #eax = j |
| # m = (n - j) / 64 |
| sar $6, %ecx #ecx = m |
| |
| # r2 = - n * log10(2)/64 tail |
| mulsd .L__log10of2_by_64_mtail(%rip),%xmm2 #xmm2 = r2 |
| addsd %xmm1,%xmm0 #xmm0 = r1 |
| |
| # r1 *= ln10; |
| # r2 *= ln10; |
| mulsd .L__ln10(%rip),%xmm0 |
| mulsd .L__ln10(%rip),%xmm2 |
| |
| # r1+r2 |
| addsd %xmm0, %xmm2 #xmm2 = r |
| |
| # q = r + r^2*1/2 + r^3*1/6 + r^4 *1/24 + r^5*1/120 + r^6*1/720 |
| # q = r + r*r*(1/2 + r*(1/6+ r*(1/24 + r*(1/120 + r*(1/720))))) |
| movapd .L__real_1_by_720(%rip), %xmm3 #xmm3 = 1/720 |
| mulsd %xmm2, %xmm3 #xmm3 = r*1/720 |
| movapd .L__real_1_by_6(%rip), %xmm0 #xmm0 = 1/6 |
| movapd %xmm2, %xmm1 #xmm1 = r |
| mulsd %xmm2, %xmm0 #xmm0 = r*1/6 |
| addsd .L__real_1_by_120(%rip), %xmm3 #xmm3 = 1/120 + (r*1/720) |
| mulsd %xmm2, %xmm1 #xmm1 = r*r |
| addsd .L__real_1_by_2(%rip), %xmm0 #xmm0 = 1/2 + (r*1/6) |
| movapd %xmm1, %xmm4 #xmm4 = r*r |
| mulsd %xmm1, %xmm4 #xmm4 = (r*r) * (r*r) |
| mulsd %xmm2, %xmm3 #xmm3 = r * (1/120 + (r*1/720)) |
| mulsd %xmm1, %xmm0 #xmm0 = (r*r)*(1/2 + (r*1/6)) |
| addsd .L__real_1_by_24(%rip), %xmm3 #xmm3 = 1/24 + (r * (1/120 + (r*1/720))) |
| addsd %xmm2, %xmm0 #xmm0 = r + ((r*r)*(1/2 + (r*1/6))) |
| mulsd %xmm4, %xmm3 #xmm3 = ((r*r) * (r*r)) * (1/24 + (r * (1/120 + (r*1/720)))) |
| addsd %xmm3, %xmm0 #xmm0 = r + ((r*r)*(1/2 + (r*1/6))) + ((r*r) * (r*r)) * (1/24 + (r * (1/120 + (r*1/720)))) |
| |
| # (f)*(q) + f2 + f1 |
| cmp $0xfffffc02, %ecx # -1022 |
| lea .L__two_to_jby64_table(%rip), %rdx |
| lea .L__two_to_jby64_tail_table(%rip), %r11 |
| lea .L__two_to_jby64_head_table(%rip), %r10 |
| mulsd (%rdx,%rax,8), %xmm0 |
| addsd (%r11,%rax,8), %xmm0 |
| addsd (%r10,%rax,8), %xmm0 |
| |
| jle .L__process_denormal |
| .L__process_normal: |
| shl $52, %rcx |
| movd %rcx,%xmm2 |
| paddq %xmm2, %xmm0 |
| ret |
| |
| .p2align 4 |
| .L__process_denormal: |
| jl .L__process_true_denormal |
| ucomisd .L__real_one(%rip), %xmm0 |
| jae .L__process_normal |
| .L__process_true_denormal: |
| # here ( e^r < 1 and m = -1022 ) or m <= -1023 |
| add $1074, %ecx |
| mov $1, %rax |
| shl %cl, %rax |
| movd %rax, %xmm2 |
| mulsd %xmm2, %xmm0 |
| ret |
| |
| .p2align 4 |
| .L__y_is_inf: |
| mov $0x7ff0000000000000,%rax |
| movd %rax, %xmm1 |
| mov $3, %edi |
| #call fname_special |
| movdqa %xmm1,%xmm0 #remove this if call is made |
| ret |
| |
| .p2align 4 |
| .L__y_is_nan: |
| movapd %xmm0,%xmm1 |
| addsd %xmm0,%xmm1 |
| mov $1, %edi |
| #call fname_special |
| movdqa %xmm1,%xmm0 #remove this if call is made |
| ret |
| |
| .p2align 4 |
| .L__y_is_zero: |
| pxor %xmm1,%xmm1 |
| mov $2, %edi |
| #call fname_special |
| movdqa %xmm1,%xmm0 #remove this if call is made |
| ret |
| |
| .data |
| .align 16 |
| .L__max_exp10_arg: .quad 0x40734413509f79ff |
| .L__min_exp10_arg: .quad 0xc07434e6420f4374 |
| .L__real_64_by_log10of2: .quad 0x406A934F0979A371 # 64/log10(2) |
| .L__ln10: .quad 0x40026BB1BBB55516 |
| |
| .align 16 |
| .L__log10of2_by_64_mhead: .quad 0xbF73441350000000 |
| .L__log10of2_by_64_mtail: .quad 0xbda3ef3fde623e25 |
| .L__real_1_by_720: .quad 0x3f56c16c16c16c17 # 1/720 |
| .L__real_1_by_120: .quad 0x3f81111111111111 # 1/120 |
| .L__real_1_by_6: .quad 0x3fc5555555555555 # 1/6 |
| .L__real_1_by_2: .quad 0x3fe0000000000000 # 1/2 |
| .L__real_1_by_24: .quad 0x3fa5555555555555 # 1/24 |
| .L__real_one: .quad 0x3ff0000000000000 |
| |
| .align 16 |
| .L__two_to_jby64_table: |
| .quad 0x3ff0000000000000 |
| .quad 0x3ff02c9a3e778061 |
| .quad 0x3ff059b0d3158574 |
| .quad 0x3ff0874518759bc8 |
| .quad 0x3ff0b5586cf9890f |
| .quad 0x3ff0e3ec32d3d1a2 |
| .quad 0x3ff11301d0125b51 |
| .quad 0x3ff1429aaea92de0 |
| .quad 0x3ff172b83c7d517b |
| .quad 0x3ff1a35beb6fcb75 |
| .quad 0x3ff1d4873168b9aa |
| .quad 0x3ff2063b88628cd6 |
| .quad 0x3ff2387a6e756238 |
| .quad 0x3ff26b4565e27cdd |
| .quad 0x3ff29e9df51fdee1 |
| .quad 0x3ff2d285a6e4030b |
| .quad 0x3ff306fe0a31b715 |
| .quad 0x3ff33c08b26416ff |
| .quad 0x3ff371a7373aa9cb |
| .quad 0x3ff3a7db34e59ff7 |
| .quad 0x3ff3dea64c123422 |
| .quad 0x3ff4160a21f72e2a |
| .quad 0x3ff44e086061892d |
| .quad 0x3ff486a2b5c13cd0 |
| .quad 0x3ff4bfdad5362a27 |
| .quad 0x3ff4f9b2769d2ca7 |
| .quad 0x3ff5342b569d4f82 |
| .quad 0x3ff56f4736b527da |
| .quad 0x3ff5ab07dd485429 |
| .quad 0x3ff5e76f15ad2148 |
| .quad 0x3ff6247eb03a5585 |
| .quad 0x3ff6623882552225 |
| .quad 0x3ff6a09e667f3bcd |
| .quad 0x3ff6dfb23c651a2f |
| .quad 0x3ff71f75e8ec5f74 |
| .quad 0x3ff75feb564267c9 |
| .quad 0x3ff7a11473eb0187 |
| .quad 0x3ff7e2f336cf4e62 |
| .quad 0x3ff82589994cce13 |
| .quad 0x3ff868d99b4492ed |
| .quad 0x3ff8ace5422aa0db |
| .quad 0x3ff8f1ae99157736 |
| .quad 0x3ff93737b0cdc5e5 |
| .quad 0x3ff97d829fde4e50 |
| .quad 0x3ff9c49182a3f090 |
| .quad 0x3ffa0c667b5de565 |
| .quad 0x3ffa5503b23e255d |
| .quad 0x3ffa9e6b5579fdbf |
| .quad 0x3ffae89f995ad3ad |
| .quad 0x3ffb33a2b84f15fb |
| .quad 0x3ffb7f76f2fb5e47 |
| .quad 0x3ffbcc1e904bc1d2 |
| .quad 0x3ffc199bdd85529c |
| .quad 0x3ffc67f12e57d14b |
| .quad 0x3ffcb720dcef9069 |
| .quad 0x3ffd072d4a07897c |
| .quad 0x3ffd5818dcfba487 |
| .quad 0x3ffda9e603db3285 |
| .quad 0x3ffdfc97337b9b5f |
| .quad 0x3ffe502ee78b3ff6 |
| .quad 0x3ffea4afa2a490da |
| .quad 0x3ffefa1bee615a27 |
| .quad 0x3fff50765b6e4540 |
| .quad 0x3fffa7c1819e90d8 |
| |
| .align 16 |
| .L__two_to_jby64_head_table: |
| .quad 0x3ff0000000000000 |
| .quad 0x3ff02c9a30000000 |
| .quad 0x3ff059b0d0000000 |
| .quad 0x3ff0874510000000 |
| .quad 0x3ff0b55860000000 |
| .quad 0x3ff0e3ec30000000 |
| .quad 0x3ff11301d0000000 |
| .quad 0x3ff1429aa0000000 |
| .quad 0x3ff172b830000000 |
| .quad 0x3ff1a35be0000000 |
| .quad 0x3ff1d48730000000 |
| .quad 0x3ff2063b80000000 |
| .quad 0x3ff2387a60000000 |
| .quad 0x3ff26b4560000000 |
| .quad 0x3ff29e9df0000000 |
| .quad 0x3ff2d285a0000000 |
| .quad 0x3ff306fe00000000 |
| .quad 0x3ff33c08b0000000 |
| .quad 0x3ff371a730000000 |
| .quad 0x3ff3a7db30000000 |
| .quad 0x3ff3dea640000000 |
| .quad 0x3ff4160a20000000 |
| .quad 0x3ff44e0860000000 |
| .quad 0x3ff486a2b0000000 |
| .quad 0x3ff4bfdad0000000 |
| .quad 0x3ff4f9b270000000 |
| .quad 0x3ff5342b50000000 |
| .quad 0x3ff56f4730000000 |
| .quad 0x3ff5ab07d0000000 |
| .quad 0x3ff5e76f10000000 |
| .quad 0x3ff6247eb0000000 |
| .quad 0x3ff6623880000000 |
| .quad 0x3ff6a09e60000000 |
| .quad 0x3ff6dfb230000000 |
| .quad 0x3ff71f75e0000000 |
| .quad 0x3ff75feb50000000 |
| .quad 0x3ff7a11470000000 |
| .quad 0x3ff7e2f330000000 |
| .quad 0x3ff8258990000000 |
| .quad 0x3ff868d990000000 |
| .quad 0x3ff8ace540000000 |
| .quad 0x3ff8f1ae90000000 |
| .quad 0x3ff93737b0000000 |
| .quad 0x3ff97d8290000000 |
| .quad 0x3ff9c49180000000 |
| .quad 0x3ffa0c6670000000 |
| .quad 0x3ffa5503b0000000 |
| .quad 0x3ffa9e6b50000000 |
| .quad 0x3ffae89f90000000 |
| .quad 0x3ffb33a2b0000000 |
| .quad 0x3ffb7f76f0000000 |
| .quad 0x3ffbcc1e90000000 |
| .quad 0x3ffc199bd0000000 |
| .quad 0x3ffc67f120000000 |
| .quad 0x3ffcb720d0000000 |
| .quad 0x3ffd072d40000000 |
| .quad 0x3ffd5818d0000000 |
| .quad 0x3ffda9e600000000 |
| .quad 0x3ffdfc9730000000 |
| .quad 0x3ffe502ee0000000 |
| .quad 0x3ffea4afa0000000 |
| .quad 0x3ffefa1be0000000 |
| .quad 0x3fff507650000000 |
| .quad 0x3fffa7c180000000 |
| |
| .align 16 |
| .L__two_to_jby64_tail_table: |
| .quad 0x0000000000000000 |
| .quad 0x3e6cef00c1dcdef9 |
| .quad 0x3e48ac2ba1d73e2a |
| .quad 0x3e60eb37901186be |
| .quad 0x3e69f3121ec53172 |
| .quad 0x3e469e8d10103a17 |
| .quad 0x3df25b50a4ebbf1a |
| .quad 0x3e6d525bbf668203 |
| .quad 0x3e68faa2f5b9bef9 |
| .quad 0x3e66df96ea796d31 |
| .quad 0x3e368b9aa7805b80 |
| .quad 0x3e60c519ac771dd6 |
| .quad 0x3e6ceac470cd83f5 |
| .quad 0x3e5789f37495e99c |
| .quad 0x3e547f7b84b09745 |
| .quad 0x3e5b900c2d002475 |
| .quad 0x3e64636e2a5bd1ab |
| .quad 0x3e4320b7fa64e430 |
| .quad 0x3e5ceaa72a9c5154 |
| .quad 0x3e53967fdba86f24 |
| .quad 0x3e682468446b6824 |
| .quad 0x3e3f72e29f84325b |
| .quad 0x3e18624b40c4dbd0 |
| .quad 0x3e5704f3404f068e |
| .quad 0x3e54d8a89c750e5e |
| .quad 0x3e5a74b29ab4cf62 |
| .quad 0x3e5a753e077c2a0f |
| .quad 0x3e5ad49f699bb2c0 |
| .quad 0x3e6a90a852b19260 |
| .quad 0x3e56b48521ba6f93 |
| .quad 0x3e0d2ac258f87d03 |
| .quad 0x3e42a91124893ecf |
| .quad 0x3e59fcef32422cbe |
| .quad 0x3e68ca345de441c5 |
| .quad 0x3e61d8bee7ba46e1 |
| .quad 0x3e59099f22fdba6a |
| .quad 0x3e4f580c36bea881 |
| .quad 0x3e5b3d398841740a |
| .quad 0x3e62999c25159f11 |
| .quad 0x3e668925d901c83b |
| .quad 0x3e415506dadd3e2a |
| .quad 0x3e622aee6c57304e |
| .quad 0x3e29b8bc9e8a0387 |
| .quad 0x3e6fbc9c9f173d24 |
| .quad 0x3e451f8480e3e235 |
| .quad 0x3e66bbcac96535b5 |
| .quad 0x3e41f12ae45a1224 |
| .quad 0x3e55e7f6fd0fac90 |
| .quad 0x3e62b5a75abd0e69 |
| .quad 0x3e609e2bf5ed7fa1 |
| .quad 0x3e47daf237553d84 |
| .quad 0x3e12f074891ee83d |
| .quad 0x3e6b0aa538444196 |
| .quad 0x3e6cafa29694426f |
| .quad 0x3e69df20d22a0797 |
| .quad 0x3e640f12f71a1e45 |
| .quad 0x3e69f7490e4bb40b |
| .quad 0x3e4ed9942b84600d |
| .quad 0x3e4bdcdaf5cb4656 |
| .quad 0x3e5e2cffd89cf44c |
| .quad 0x3e452486cc2c7b9d |
| .quad 0x3e6cc2b44eee3fa4 |
| .quad 0x3e66dc8a80ce9f09 |
| .quad 0x3e39e90d82e90a7e |
| |
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| |
