| /* |
| * Copyright (c) 2016, Intel Corporation. |
| * Intel Math Library (LIBM) Source Code |
| * |
| * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. |
| * |
| * This code is free software; you can redistribute it and/or modify it |
| * under the terms of the GNU General Public License version 2 only, as |
| * published by the Free Software Foundation. |
| * |
| * This code 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 General Public License |
| * version 2 for more details (a copy is included in the LICENSE file that |
| * accompanied this code). |
| * |
| * You should have received a copy of the GNU General Public License version |
| * 2 along with this work; if not, write to the Free Software Foundation, |
| * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. |
| * |
| * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA |
| * or visit www.oracle.com if you need additional information or have any |
| * questions. |
| * |
| */ |
| |
| #include "precompiled.hpp" |
| #include "asm/assembler.hpp" |
| #include "asm/assembler.inline.hpp" |
| #include "macroAssembler_x86.hpp" |
| #include "runtime/stubRoutines.hpp" |
| #include "utilities/globalDefinitions.hpp" |
| |
| /******************************************************************************/ |
| // ALGORITHM DESCRIPTION - EXP() |
| // --------------------- |
| // |
| // Description: |
| // Let K = 64 (table size). |
| // x x/log(2) n |
| // e = 2 = 2 * T[j] * (1 + P(y)) |
| // where |
| // x = m*log(2)/K + y, y in [-log(2)/K..log(2)/K] |
| // m = n*K + j, m,n,j - signed integer, j in [-K/2..K/2] |
| // j/K |
| // values of 2 are tabulated as T[j] = T_hi[j] ( 1 + T_lo[j]). |
| // |
| // P(y) is a minimax polynomial approximation of exp(x)-1 |
| // on small interval [-log(2)/K..log(2)/K] (were calculated by Maple V). |
| // |
| // To avoid problems with arithmetic overflow and underflow, |
| // n n1 n2 |
| // value of 2 is safely computed as 2 * 2 where n1 in [-BIAS/2..BIAS/2] |
| // where BIAS is a value of exponent bias. |
| // |
| // Special cases: |
| // exp(NaN) = NaN |
| // exp(+INF) = +INF |
| // exp(-INF) = 0 |
| // exp(x) = 1 for subnormals |
| // for finite argument, only exp(0)=1 is exact |
| // For IEEE double |
| // if x > 709.782712893383973096 then exp(x) overflow |
| // if x < -745.133219101941108420 then exp(x) underflow |
| // |
| /******************************************************************************/ |
| |
| #ifdef _LP64 |
| // The 64 bit code is at most SSE2 compliant |
| ATTRIBUTE_ALIGNED(16) juint _cv[] = |
| { |
| 0x652b82feUL, 0x40571547UL, 0x652b82feUL, 0x40571547UL, 0xfefa0000UL, |
| 0x3f862e42UL, 0xfefa0000UL, 0x3f862e42UL, 0xbc9e3b3aUL, 0x3d1cf79aUL, |
| 0xbc9e3b3aUL, 0x3d1cf79aUL, 0xfffffffeUL, 0x3fdfffffUL, 0xfffffffeUL, |
| 0x3fdfffffUL, 0xe3289860UL, 0x3f56c15cUL, 0x555b9e25UL, 0x3fa55555UL, |
| 0xc090cf0fUL, 0x3f811115UL, 0x55548ba1UL, 0x3fc55555UL |
| }; |
| |
| ATTRIBUTE_ALIGNED(16) juint _shifter[] = |
| { |
| 0x00000000UL, 0x43380000UL, 0x00000000UL, 0x43380000UL |
| }; |
| |
| ATTRIBUTE_ALIGNED(16) juint _mmask[] = |
| { |
| 0xffffffc0UL, 0x00000000UL, 0xffffffc0UL, 0x00000000UL |
| }; |
| |
| ATTRIBUTE_ALIGNED(16) juint _bias[] = |
| { |
| 0x0000ffc0UL, 0x00000000UL, 0x0000ffc0UL, 0x00000000UL |
| }; |
| |
| ATTRIBUTE_ALIGNED(16) juint _Tbl_addr[] = |
| { |
| 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x0e03754dUL, |
| 0x3cad7bbfUL, 0x3e778060UL, 0x00002c9aUL, 0x3567f613UL, 0x3c8cd252UL, |
| 0xd3158574UL, 0x000059b0UL, 0x61e6c861UL, 0x3c60f74eUL, 0x18759bc8UL, |
| 0x00008745UL, 0x5d837b6cUL, 0x3c979aa6UL, 0x6cf9890fUL, 0x0000b558UL, |
| 0x702f9cd1UL, 0x3c3ebe3dUL, 0x32d3d1a2UL, 0x0000e3ecUL, 0x1e63bcd8UL, |
| 0x3ca3516eUL, 0xd0125b50UL, 0x00011301UL, 0x26f0387bUL, 0x3ca4c554UL, |
| 0xaea92ddfUL, 0x0001429aUL, 0x62523fb6UL, 0x3ca95153UL, 0x3c7d517aUL, |
| 0x000172b8UL, 0x3f1353bfUL, 0x3c8b898cUL, 0xeb6fcb75UL, 0x0001a35bUL, |
| 0x3e3a2f5fUL, 0x3c9aecf7UL, 0x3168b9aaUL, 0x0001d487UL, 0x44a6c38dUL, |
| 0x3c8a6f41UL, 0x88628cd6UL, 0x0002063bUL, 0xe3a8a894UL, 0x3c968efdUL, |
| 0x6e756238UL, 0x0002387aUL, 0x981fe7f2UL, 0x3c80472bUL, 0x65e27cddUL, |
| 0x00026b45UL, 0x6d09ab31UL, 0x3c82f7e1UL, 0xf51fdee1UL, 0x00029e9dUL, |
| 0x720c0ab3UL, 0x3c8b3782UL, 0xa6e4030bUL, 0x0002d285UL, 0x4db0abb6UL, |
| 0x3c834d75UL, 0x0a31b715UL, 0x000306feUL, 0x5dd3f84aUL, 0x3c8fdd39UL, |
| 0xb26416ffUL, 0x00033c08UL, 0xcc187d29UL, 0x3ca12f8cUL, 0x373aa9caUL, |
| 0x000371a7UL, 0x738b5e8bUL, 0x3ca7d229UL, 0x34e59ff6UL, 0x0003a7dbUL, |
| 0xa72a4c6dUL, 0x3c859f48UL, 0x4c123422UL, 0x0003dea6UL, 0x259d9205UL, |
| 0x3ca8b846UL, 0x21f72e29UL, 0x0004160aUL, 0x60c2ac12UL, 0x3c4363edUL, |
| 0x6061892dUL, 0x00044e08UL, 0xdaa10379UL, 0x3c6ecce1UL, 0xb5c13cd0UL, |
| 0x000486a2UL, 0xbb7aafb0UL, 0x3c7690ceUL, 0xd5362a27UL, 0x0004bfdaUL, |
| 0x9b282a09UL, 0x3ca083ccUL, 0x769d2ca6UL, 0x0004f9b2UL, 0xc1aae707UL, |
| 0x3ca509b0UL, 0x569d4f81UL, 0x0005342bUL, 0x18fdd78eUL, 0x3c933505UL, |
| 0x36b527daUL, 0x00056f47UL, 0xe21c5409UL, 0x3c9063e1UL, 0xdd485429UL, |
| 0x0005ab07UL, 0x2b64c035UL, 0x3c9432e6UL, 0x15ad2148UL, 0x0005e76fUL, |
| 0x99f08c0aUL, 0x3ca01284UL, 0xb03a5584UL, 0x0006247eUL, 0x0073dc06UL, |
| 0x3c99f087UL, 0x82552224UL, 0x00066238UL, 0x0da05571UL, 0x3c998d4dUL, |
| 0x667f3bccUL, 0x0006a09eUL, 0x86ce4786UL, 0x3ca52bb9UL, 0x3c651a2eUL, |
| 0x0006dfb2UL, 0x206f0dabUL, 0x3ca32092UL, 0xe8ec5f73UL, 0x00071f75UL, |
| 0x8e17a7a6UL, 0x3ca06122UL, 0x564267c8UL, 0x00075febUL, 0x461e9f86UL, |
| 0x3ca244acUL, 0x73eb0186UL, 0x0007a114UL, 0xabd66c55UL, 0x3c65ebe1UL, |
| 0x36cf4e62UL, 0x0007e2f3UL, 0xbbff67d0UL, 0x3c96fe9fUL, 0x994cce12UL, |
| 0x00082589UL, 0x14c801dfUL, 0x3c951f14UL, 0x9b4492ecUL, 0x000868d9UL, |
| 0xc1f0eab4UL, 0x3c8db72fUL, 0x422aa0dbUL, 0x0008ace5UL, 0x59f35f44UL, |
| 0x3c7bf683UL, 0x99157736UL, 0x0008f1aeUL, 0x9c06283cUL, 0x3ca360baUL, |
| 0xb0cdc5e4UL, 0x00093737UL, 0x20f962aaUL, 0x3c95e8d1UL, 0x9fde4e4fUL, |
| 0x00097d82UL, 0x2b91ce27UL, 0x3c71affcUL, 0x82a3f090UL, 0x0009c491UL, |
| 0x589a2ebdUL, 0x3c9b6d34UL, 0x7b5de564UL, 0x000a0c66UL, 0x9ab89880UL, |
| 0x3c95277cUL, 0xb23e255cUL, 0x000a5503UL, 0x6e735ab3UL, 0x3c846984UL, |
| 0x5579fdbfUL, 0x000a9e6bUL, 0x92cb3387UL, 0x3c8c1a77UL, 0x995ad3adUL, |
| 0x000ae89fUL, 0xdc2d1d96UL, 0x3ca22466UL, 0xb84f15faUL, 0x000b33a2UL, |
| 0xb19505aeUL, 0x3ca1112eUL, 0xf2fb5e46UL, 0x000b7f76UL, 0x0a5fddcdUL, |
| 0x3c74ffd7UL, 0x904bc1d2UL, 0x000bcc1eUL, 0x30af0cb3UL, 0x3c736eaeUL, |
| 0xdd85529cUL, 0x000c199bUL, 0xd10959acUL, 0x3c84e08fUL, 0x2e57d14bUL, |
| 0x000c67f1UL, 0x6c921968UL, 0x3c676b2cUL, 0xdcef9069UL, 0x000cb720UL, |
| 0x36df99b3UL, 0x3c937009UL, 0x4a07897bUL, 0x000d072dUL, 0xa63d07a7UL, |
| 0x3c74a385UL, 0xdcfba487UL, 0x000d5818UL, 0xd5c192acUL, 0x3c8e5a50UL, |
| 0x03db3285UL, 0x000da9e6UL, 0x1c4a9792UL, 0x3c98bb73UL, 0x337b9b5eUL, |
| 0x000dfc97UL, 0x603a88d3UL, 0x3c74b604UL, 0xe78b3ff6UL, 0x000e502eUL, |
| 0x92094926UL, 0x3c916f27UL, 0xa2a490d9UL, 0x000ea4afUL, 0x41aa2008UL, |
| 0x3c8ec3bcUL, 0xee615a27UL, 0x000efa1bUL, 0x31d185eeUL, 0x3c8a64a9UL, |
| 0x5b6e4540UL, 0x000f5076UL, 0x4d91cd9dUL, 0x3c77893bUL, 0x819e90d8UL, |
| 0x000fa7c1UL |
| }; |
| |
| ATTRIBUTE_ALIGNED(16) juint _ALLONES[] = |
| { |
| 0xffffffffUL, 0xffffffffUL, 0xffffffffUL, 0xffffffffUL |
| }; |
| |
| ATTRIBUTE_ALIGNED(16) juint _ebias[] = |
| { |
| 0x00000000UL, 0x3ff00000UL, 0x00000000UL, 0x3ff00000UL |
| }; |
| |
| ATTRIBUTE_ALIGNED(4) juint _XMAX[] = |
| { |
| 0xffffffffUL, 0x7fefffffUL |
| }; |
| |
| ATTRIBUTE_ALIGNED(4) juint _XMIN[] = |
| { |
| 0x00000000UL, 0x00100000UL |
| }; |
| |
| ATTRIBUTE_ALIGNED(4) juint _INF[] = |
| { |
| 0x00000000UL, 0x7ff00000UL |
| }; |
| |
| ATTRIBUTE_ALIGNED(4) juint _ZERO[] = |
| { |
| 0x00000000UL, 0x00000000UL |
| }; |
| |
| ATTRIBUTE_ALIGNED(4) juint _ONE_val[] = |
| { |
| 0x00000000UL, 0x3ff00000UL |
| }; |
| |
| |
| // Registers: |
| // input: xmm0 |
| // scratch: xmm1, xmm2, xmm3, xmm4, xmm5, xmm6, xmm7 |
| // rax, rdx, rcx, tmp - r11 |
| |
| // Code generated by Intel C compiler for LIBM library |
| |
| void MacroAssembler::fast_exp(XMMRegister xmm0, XMMRegister xmm1, XMMRegister xmm2, XMMRegister xmm3, XMMRegister xmm4, XMMRegister xmm5, XMMRegister xmm6, XMMRegister xmm7, Register eax, Register ecx, Register edx, Register tmp) { |
| Label L_2TAG_PACKET_0_0_2, L_2TAG_PACKET_1_0_2, L_2TAG_PACKET_2_0_2, L_2TAG_PACKET_3_0_2; |
| Label L_2TAG_PACKET_4_0_2, L_2TAG_PACKET_5_0_2, L_2TAG_PACKET_6_0_2, L_2TAG_PACKET_7_0_2; |
| Label L_2TAG_PACKET_8_0_2, L_2TAG_PACKET_9_0_2, L_2TAG_PACKET_10_0_2, L_2TAG_PACKET_11_0_2; |
| Label L_2TAG_PACKET_12_0_2, B1_3, B1_5, start; |
| |
| assert_different_registers(tmp, eax, ecx, edx); |
| jmp(start); |
| address cv = (address)_cv; |
| address Shifter = (address)_shifter; |
| address mmask = (address)_mmask; |
| address bias = (address)_bias; |
| address Tbl_addr = (address)_Tbl_addr; |
| address ALLONES = (address)_ALLONES; |
| address ebias = (address)_ebias; |
| address XMAX = (address)_XMAX; |
| address XMIN = (address)_XMIN; |
| address INF = (address)_INF; |
| address ZERO = (address)_ZERO; |
| address ONE_val = (address)_ONE_val; |
| |
| bind(start); |
| subq(rsp, 24); |
| movsd(Address(rsp, 8), xmm0); |
| unpcklpd(xmm0, xmm0); |
| movdqu(xmm1, ExternalAddress(cv)); // 0x652b82feUL, 0x40571547UL, 0x652b82feUL, 0x40571547UL |
| movdqu(xmm6, ExternalAddress(Shifter)); // 0x00000000UL, 0x43380000UL, 0x00000000UL, 0x43380000UL |
| movdqu(xmm2, ExternalAddress(16 + cv)); // 0xfefa0000UL, 0x3f862e42UL, 0xfefa0000UL, 0x3f862e42UL |
| movdqu(xmm3, ExternalAddress(32 + cv)); // 0xbc9e3b3aUL, 0x3d1cf79aUL, 0xbc9e3b3aUL, 0x3d1cf79aUL |
| pextrw(eax, xmm0, 3); |
| andl(eax, 32767); |
| movl(edx, 16527); |
| subl(edx, eax); |
| subl(eax, 15504); |
| orl(edx, eax); |
| cmpl(edx, INT_MIN); |
| jcc(Assembler::aboveEqual, L_2TAG_PACKET_0_0_2); |
| mulpd(xmm1, xmm0); |
| addpd(xmm1, xmm6); |
| movapd(xmm7, xmm1); |
| subpd(xmm1, xmm6); |
| mulpd(xmm2, xmm1); |
| movdqu(xmm4, ExternalAddress(64 + cv)); // 0xe3289860UL, 0x3f56c15cUL, 0x555b9e25UL, 0x3fa55555UL |
| mulpd(xmm3, xmm1); |
| movdqu(xmm5, ExternalAddress(80 + cv)); // 0xc090cf0fUL, 0x3f811115UL, 0x55548ba1UL, 0x3fc55555UL |
| subpd(xmm0, xmm2); |
| movdl(eax, xmm7); |
| movl(ecx, eax); |
| andl(ecx, 63); |
| shll(ecx, 4); |
| sarl(eax, 6); |
| movl(edx, eax); |
| movdqu(xmm6, ExternalAddress(mmask)); // 0xffffffc0UL, 0x00000000UL, 0xffffffc0UL, 0x00000000UL |
| pand(xmm7, xmm6); |
| movdqu(xmm6, ExternalAddress(bias)); // 0x0000ffc0UL, 0x00000000UL, 0x0000ffc0UL, 0x00000000UL |
| paddq(xmm7, xmm6); |
| psllq(xmm7, 46); |
| subpd(xmm0, xmm3); |
| lea(tmp, ExternalAddress(Tbl_addr)); |
| movdqu(xmm2, Address(ecx, tmp)); |
| mulpd(xmm4, xmm0); |
| movapd(xmm6, xmm0); |
| movapd(xmm1, xmm0); |
| mulpd(xmm6, xmm6); |
| mulpd(xmm0, xmm6); |
| addpd(xmm5, xmm4); |
| mulsd(xmm0, xmm6); |
| mulpd(xmm6, ExternalAddress(48 + cv)); // 0xfffffffeUL, 0x3fdfffffUL, 0xfffffffeUL, 0x3fdfffffUL |
| addsd(xmm1, xmm2); |
| unpckhpd(xmm2, xmm2); |
| mulpd(xmm0, xmm5); |
| addsd(xmm1, xmm0); |
| por(xmm2, xmm7); |
| unpckhpd(xmm0, xmm0); |
| addsd(xmm0, xmm1); |
| addsd(xmm0, xmm6); |
| addl(edx, 894); |
| cmpl(edx, 1916); |
| jcc(Assembler::above, L_2TAG_PACKET_1_0_2); |
| mulsd(xmm0, xmm2); |
| addsd(xmm0, xmm2); |
| jmp(B1_5); |
| |
| bind(L_2TAG_PACKET_1_0_2); |
| xorpd(xmm3, xmm3); |
| movdqu(xmm4, ExternalAddress(ALLONES)); // 0xffffffffUL, 0xffffffffUL, 0xffffffffUL, 0xffffffffUL |
| movl(edx, -1022); |
| subl(edx, eax); |
| movdl(xmm5, edx); |
| psllq(xmm4, xmm5); |
| movl(ecx, eax); |
| sarl(eax, 1); |
| pinsrw(xmm3, eax, 3); |
| movdqu(xmm6, ExternalAddress(ebias)); // 0x00000000UL, 0x3ff00000UL, 0x00000000UL, 0x3ff00000UL |
| psllq(xmm3, 4); |
| psubd(xmm2, xmm3); |
| mulsd(xmm0, xmm2); |
| cmpl(edx, 52); |
| jcc(Assembler::greater, L_2TAG_PACKET_2_0_2); |
| pand(xmm4, xmm2); |
| paddd(xmm3, xmm6); |
| subsd(xmm2, xmm4); |
| addsd(xmm0, xmm2); |
| cmpl(ecx, 1023); |
| jcc(Assembler::greaterEqual, L_2TAG_PACKET_3_0_2); |
| pextrw(ecx, xmm0, 3); |
| andl(ecx, 32768); |
| orl(edx, ecx); |
| cmpl(edx, 0); |
| jcc(Assembler::equal, L_2TAG_PACKET_4_0_2); |
| movapd(xmm6, xmm0); |
| addsd(xmm0, xmm4); |
| mulsd(xmm0, xmm3); |
| pextrw(ecx, xmm0, 3); |
| andl(ecx, 32752); |
| cmpl(ecx, 0); |
| jcc(Assembler::equal, L_2TAG_PACKET_5_0_2); |
| jmp(B1_5); |
| |
| bind(L_2TAG_PACKET_5_0_2); |
| mulsd(xmm6, xmm3); |
| mulsd(xmm4, xmm3); |
| movdqu(xmm0, xmm6); |
| pxor(xmm6, xmm4); |
| psrad(xmm6, 31); |
| pshufd(xmm6, xmm6, 85); |
| psllq(xmm0, 1); |
| psrlq(xmm0, 1); |
| pxor(xmm0, xmm6); |
| psrlq(xmm6, 63); |
| paddq(xmm0, xmm6); |
| paddq(xmm0, xmm4); |
| movl(Address(rsp, 0), 15); |
| jmp(L_2TAG_PACKET_6_0_2); |
| |
| bind(L_2TAG_PACKET_4_0_2); |
| addsd(xmm0, xmm4); |
| mulsd(xmm0, xmm3); |
| jmp(B1_5); |
| |
| bind(L_2TAG_PACKET_3_0_2); |
| addsd(xmm0, xmm4); |
| mulsd(xmm0, xmm3); |
| pextrw(ecx, xmm0, 3); |
| andl(ecx, 32752); |
| cmpl(ecx, 32752); |
| jcc(Assembler::aboveEqual, L_2TAG_PACKET_7_0_2); |
| jmp(B1_5); |
| |
| bind(L_2TAG_PACKET_2_0_2); |
| paddd(xmm3, xmm6); |
| addpd(xmm0, xmm2); |
| mulsd(xmm0, xmm3); |
| movl(Address(rsp, 0), 15); |
| jmp(L_2TAG_PACKET_6_0_2); |
| |
| bind(L_2TAG_PACKET_8_0_2); |
| cmpl(eax, 2146435072); |
| jcc(Assembler::aboveEqual, L_2TAG_PACKET_9_0_2); |
| movl(eax, Address(rsp, 12)); |
| cmpl(eax, INT_MIN); |
| jcc(Assembler::aboveEqual, L_2TAG_PACKET_10_0_2); |
| movsd(xmm0, ExternalAddress(XMAX)); // 0xffffffffUL, 0x7fefffffUL |
| mulsd(xmm0, xmm0); |
| |
| bind(L_2TAG_PACKET_7_0_2); |
| movl(Address(rsp, 0), 14); |
| jmp(L_2TAG_PACKET_6_0_2); |
| |
| bind(L_2TAG_PACKET_10_0_2); |
| movsd(xmm0, ExternalAddress(XMIN)); // 0x00000000UL, 0x00100000UL |
| mulsd(xmm0, xmm0); |
| movl(Address(rsp, 0), 15); |
| jmp(L_2TAG_PACKET_6_0_2); |
| |
| bind(L_2TAG_PACKET_9_0_2); |
| movl(edx, Address(rsp, 8)); |
| cmpl(eax, 2146435072); |
| jcc(Assembler::above, L_2TAG_PACKET_11_0_2); |
| cmpl(edx, 0); |
| jcc(Assembler::notEqual, L_2TAG_PACKET_11_0_2); |
| movl(eax, Address(rsp, 12)); |
| cmpl(eax, 2146435072); |
| jcc(Assembler::notEqual, L_2TAG_PACKET_12_0_2); |
| movsd(xmm0, ExternalAddress(INF)); // 0x00000000UL, 0x7ff00000UL |
| jmp(B1_5); |
| |
| bind(L_2TAG_PACKET_12_0_2); |
| movsd(xmm0, ExternalAddress(ZERO)); // 0x00000000UL, 0x00000000UL |
| jmp(B1_5); |
| |
| bind(L_2TAG_PACKET_11_0_2); |
| movsd(xmm0, Address(rsp, 8)); |
| addsd(xmm0, xmm0); |
| jmp(B1_5); |
| |
| bind(L_2TAG_PACKET_0_0_2); |
| movl(eax, Address(rsp, 12)); |
| andl(eax, 2147483647); |
| cmpl(eax, 1083179008); |
| jcc(Assembler::aboveEqual, L_2TAG_PACKET_8_0_2); |
| movsd(Address(rsp, 8), xmm0); |
| addsd(xmm0, ExternalAddress(ONE_val)); // 0x00000000UL, 0x3ff00000UL |
| jmp(B1_5); |
| |
| bind(L_2TAG_PACKET_6_0_2); |
| movq(Address(rsp, 16), xmm0); |
| |
| bind(B1_3); |
| movq(xmm0, Address(rsp, 16)); |
| |
| bind(B1_5); |
| addq(rsp, 24); |
| } |
| #else |
| // The 32 bit code is at most SSE2 compliant |
| ATTRIBUTE_ALIGNED(16) juint _static_const_table[] = |
| { |
| 0x00000000UL, 0xfff00000UL, 0x00000000UL, 0xfff00000UL, 0xffffffc0UL, |
| 0x00000000UL, 0xffffffc0UL, 0x00000000UL, 0x0000ffc0UL, 0x00000000UL, |
| 0x0000ffc0UL, 0x00000000UL, 0x00000000UL, 0x43380000UL, 0x00000000UL, |
| 0x43380000UL, 0x652b82feUL, 0x40571547UL, 0x652b82feUL, 0x40571547UL, |
| 0xfefa0000UL, 0x3f862e42UL, 0xfefa0000UL, 0x3f862e42UL, 0xbc9e3b3aUL, |
| 0x3d1cf79aUL, 0xbc9e3b3aUL, 0x3d1cf79aUL, 0xfffffffeUL, 0x3fdfffffUL, |
| 0xfffffffeUL, 0x3fdfffffUL, 0xe3289860UL, 0x3f56c15cUL, 0x555b9e25UL, |
| 0x3fa55555UL, 0xc090cf0fUL, 0x3f811115UL, 0x55548ba1UL, 0x3fc55555UL, |
| 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x0e03754dUL, |
| 0x3cad7bbfUL, 0x3e778060UL, 0x00002c9aUL, 0x3567f613UL, 0x3c8cd252UL, |
| 0xd3158574UL, 0x000059b0UL, 0x61e6c861UL, 0x3c60f74eUL, 0x18759bc8UL, |
| 0x00008745UL, 0x5d837b6cUL, 0x3c979aa6UL, 0x6cf9890fUL, 0x0000b558UL, |
| 0x702f9cd1UL, 0x3c3ebe3dUL, 0x32d3d1a2UL, 0x0000e3ecUL, 0x1e63bcd8UL, |
| 0x3ca3516eUL, 0xd0125b50UL, 0x00011301UL, 0x26f0387bUL, 0x3ca4c554UL, |
| 0xaea92ddfUL, 0x0001429aUL, 0x62523fb6UL, 0x3ca95153UL, 0x3c7d517aUL, |
| 0x000172b8UL, 0x3f1353bfUL, 0x3c8b898cUL, 0xeb6fcb75UL, 0x0001a35bUL, |
| 0x3e3a2f5fUL, 0x3c9aecf7UL, 0x3168b9aaUL, 0x0001d487UL, 0x44a6c38dUL, |
| 0x3c8a6f41UL, 0x88628cd6UL, 0x0002063bUL, 0xe3a8a894UL, 0x3c968efdUL, |
| 0x6e756238UL, 0x0002387aUL, 0x981fe7f2UL, 0x3c80472bUL, 0x65e27cddUL, |
| 0x00026b45UL, 0x6d09ab31UL, 0x3c82f7e1UL, 0xf51fdee1UL, 0x00029e9dUL, |
| 0x720c0ab3UL, 0x3c8b3782UL, 0xa6e4030bUL, 0x0002d285UL, 0x4db0abb6UL, |
| 0x3c834d75UL, 0x0a31b715UL, 0x000306feUL, 0x5dd3f84aUL, 0x3c8fdd39UL, |
| 0xb26416ffUL, 0x00033c08UL, 0xcc187d29UL, 0x3ca12f8cUL, 0x373aa9caUL, |
| 0x000371a7UL, 0x738b5e8bUL, 0x3ca7d229UL, 0x34e59ff6UL, 0x0003a7dbUL, |
| 0xa72a4c6dUL, 0x3c859f48UL, 0x4c123422UL, 0x0003dea6UL, 0x259d9205UL, |
| 0x3ca8b846UL, 0x21f72e29UL, 0x0004160aUL, 0x60c2ac12UL, 0x3c4363edUL, |
| 0x6061892dUL, 0x00044e08UL, 0xdaa10379UL, 0x3c6ecce1UL, 0xb5c13cd0UL, |
| 0x000486a2UL, 0xbb7aafb0UL, 0x3c7690ceUL, 0xd5362a27UL, 0x0004bfdaUL, |
| 0x9b282a09UL, 0x3ca083ccUL, 0x769d2ca6UL, 0x0004f9b2UL, 0xc1aae707UL, |
| 0x3ca509b0UL, 0x569d4f81UL, 0x0005342bUL, 0x18fdd78eUL, 0x3c933505UL, |
| 0x36b527daUL, 0x00056f47UL, 0xe21c5409UL, 0x3c9063e1UL, 0xdd485429UL, |
| 0x0005ab07UL, 0x2b64c035UL, 0x3c9432e6UL, 0x15ad2148UL, 0x0005e76fUL, |
| 0x99f08c0aUL, 0x3ca01284UL, 0xb03a5584UL, 0x0006247eUL, 0x0073dc06UL, |
| 0x3c99f087UL, 0x82552224UL, 0x00066238UL, 0x0da05571UL, 0x3c998d4dUL, |
| 0x667f3bccUL, 0x0006a09eUL, 0x86ce4786UL, 0x3ca52bb9UL, 0x3c651a2eUL, |
| 0x0006dfb2UL, 0x206f0dabUL, 0x3ca32092UL, 0xe8ec5f73UL, 0x00071f75UL, |
| 0x8e17a7a6UL, 0x3ca06122UL, 0x564267c8UL, 0x00075febUL, 0x461e9f86UL, |
| 0x3ca244acUL, 0x73eb0186UL, 0x0007a114UL, 0xabd66c55UL, 0x3c65ebe1UL, |
| 0x36cf4e62UL, 0x0007e2f3UL, 0xbbff67d0UL, 0x3c96fe9fUL, 0x994cce12UL, |
| 0x00082589UL, 0x14c801dfUL, 0x3c951f14UL, 0x9b4492ecUL, 0x000868d9UL, |
| 0xc1f0eab4UL, 0x3c8db72fUL, 0x422aa0dbUL, 0x0008ace5UL, 0x59f35f44UL, |
| 0x3c7bf683UL, 0x99157736UL, 0x0008f1aeUL, 0x9c06283cUL, 0x3ca360baUL, |
| 0xb0cdc5e4UL, 0x00093737UL, 0x20f962aaUL, 0x3c95e8d1UL, 0x9fde4e4fUL, |
| 0x00097d82UL, 0x2b91ce27UL, 0x3c71affcUL, 0x82a3f090UL, 0x0009c491UL, |
| 0x589a2ebdUL, 0x3c9b6d34UL, 0x7b5de564UL, 0x000a0c66UL, 0x9ab89880UL, |
| 0x3c95277cUL, 0xb23e255cUL, 0x000a5503UL, 0x6e735ab3UL, 0x3c846984UL, |
| 0x5579fdbfUL, 0x000a9e6bUL, 0x92cb3387UL, 0x3c8c1a77UL, 0x995ad3adUL, |
| 0x000ae89fUL, 0xdc2d1d96UL, 0x3ca22466UL, 0xb84f15faUL, 0x000b33a2UL, |
| 0xb19505aeUL, 0x3ca1112eUL, 0xf2fb5e46UL, 0x000b7f76UL, 0x0a5fddcdUL, |
| 0x3c74ffd7UL, 0x904bc1d2UL, 0x000bcc1eUL, 0x30af0cb3UL, 0x3c736eaeUL, |
| 0xdd85529cUL, 0x000c199bUL, 0xd10959acUL, 0x3c84e08fUL, 0x2e57d14bUL, |
| 0x000c67f1UL, 0x6c921968UL, 0x3c676b2cUL, 0xdcef9069UL, 0x000cb720UL, |
| 0x36df99b3UL, 0x3c937009UL, 0x4a07897bUL, 0x000d072dUL, 0xa63d07a7UL, |
| 0x3c74a385UL, 0xdcfba487UL, 0x000d5818UL, 0xd5c192acUL, 0x3c8e5a50UL, |
| 0x03db3285UL, 0x000da9e6UL, 0x1c4a9792UL, 0x3c98bb73UL, 0x337b9b5eUL, |
| 0x000dfc97UL, 0x603a88d3UL, 0x3c74b604UL, 0xe78b3ff6UL, 0x000e502eUL, |
| 0x92094926UL, 0x3c916f27UL, 0xa2a490d9UL, 0x000ea4afUL, 0x41aa2008UL, |
| 0x3c8ec3bcUL, 0xee615a27UL, 0x000efa1bUL, 0x31d185eeUL, 0x3c8a64a9UL, |
| 0x5b6e4540UL, 0x000f5076UL, 0x4d91cd9dUL, 0x3c77893bUL, 0x819e90d8UL, |
| 0x000fa7c1UL, 0x00000000UL, 0x3ff00000UL, 0x00000000UL, 0x7ff00000UL, |
| 0x00000000UL, 0x00000000UL, 0xffffffffUL, 0x7fefffffUL, 0x00000000UL, |
| 0x00100000UL |
| }; |
| |
| //registers, |
| // input: (rbp + 8) |
| // scratch: xmm1, xmm2, xmm3, xmm4, xmm5, xmm6, xmm7 |
| // rax, rdx, rcx, rbx (tmp) |
| |
| // Code generated by Intel C compiler for LIBM library |
| |
| void MacroAssembler::fast_exp(XMMRegister xmm0, XMMRegister xmm1, XMMRegister xmm2, XMMRegister xmm3, XMMRegister xmm4, XMMRegister xmm5, XMMRegister xmm6, XMMRegister xmm7, Register eax, Register ecx, Register edx, Register tmp) { |
| Label L_2TAG_PACKET_0_0_2, L_2TAG_PACKET_1_0_2, L_2TAG_PACKET_2_0_2, L_2TAG_PACKET_3_0_2; |
| Label L_2TAG_PACKET_4_0_2, L_2TAG_PACKET_5_0_2, L_2TAG_PACKET_6_0_2, L_2TAG_PACKET_7_0_2; |
| Label L_2TAG_PACKET_8_0_2, L_2TAG_PACKET_9_0_2, L_2TAG_PACKET_10_0_2, L_2TAG_PACKET_11_0_2; |
| Label L_2TAG_PACKET_12_0_2, start; |
| |
| assert_different_registers(tmp, eax, ecx, edx); |
| jmp(start); |
| address static_const_table = (address)_static_const_table; |
| |
| bind(start); |
| subl(rsp, 120); |
| movl(Address(rsp, 64), tmp); |
| lea(tmp, ExternalAddress(static_const_table)); |
| movsd(xmm0, Address(rsp, 128)); |
| unpcklpd(xmm0, xmm0); |
| movdqu(xmm1, Address(tmp, 64)); // 0x652b82feUL, 0x40571547UL, 0x652b82feUL, 0x40571547UL |
| movdqu(xmm6, Address(tmp, 48)); // 0x00000000UL, 0x43380000UL, 0x00000000UL, 0x43380000UL |
| movdqu(xmm2, Address(tmp, 80)); // 0xfefa0000UL, 0x3f862e42UL, 0xfefa0000UL, 0x3f862e42UL |
| movdqu(xmm3, Address(tmp, 96)); // 0xbc9e3b3aUL, 0x3d1cf79aUL, 0xbc9e3b3aUL, 0x3d1cf79aUL |
| pextrw(eax, xmm0, 3); |
| andl(eax, 32767); |
| movl(edx, 16527); |
| subl(edx, eax); |
| subl(eax, 15504); |
| orl(edx, eax); |
| cmpl(edx, INT_MIN); |
| jcc(Assembler::aboveEqual, L_2TAG_PACKET_0_0_2); |
| mulpd(xmm1, xmm0); |
| addpd(xmm1, xmm6); |
| movapd(xmm7, xmm1); |
| subpd(xmm1, xmm6); |
| mulpd(xmm2, xmm1); |
| movdqu(xmm4, Address(tmp, 128)); // 0xe3289860UL, 0x3f56c15cUL, 0x555b9e25UL, 0x3fa55555UL |
| mulpd(xmm3, xmm1); |
| movdqu(xmm5, Address(tmp, 144)); // 0xc090cf0fUL, 0x3f811115UL, 0x55548ba1UL, 0x3fc55555UL |
| subpd(xmm0, xmm2); |
| movdl(eax, xmm7); |
| movl(ecx, eax); |
| andl(ecx, 63); |
| shll(ecx, 4); |
| sarl(eax, 6); |
| movl(edx, eax); |
| movdqu(xmm6, Address(tmp, 16)); // 0xffffffc0UL, 0x00000000UL, 0xffffffc0UL, 0x00000000UL |
| pand(xmm7, xmm6); |
| movdqu(xmm6, Address(tmp, 32)); // 0x0000ffc0UL, 0x00000000UL, 0x0000ffc0UL, 0x00000000UL |
| paddq(xmm7, xmm6); |
| psllq(xmm7, 46); |
| subpd(xmm0, xmm3); |
| movdqu(xmm2, Address(tmp, ecx, Address::times_1, 160)); |
| mulpd(xmm4, xmm0); |
| movapd(xmm6, xmm0); |
| movapd(xmm1, xmm0); |
| mulpd(xmm6, xmm6); |
| mulpd(xmm0, xmm6); |
| addpd(xmm5, xmm4); |
| mulsd(xmm0, xmm6); |
| mulpd(xmm6, Address(tmp, 112)); // 0xfffffffeUL, 0x3fdfffffUL, 0xfffffffeUL, 0x3fdfffffUL |
| addsd(xmm1, xmm2); |
| unpckhpd(xmm2, xmm2); |
| mulpd(xmm0, xmm5); |
| addsd(xmm1, xmm0); |
| por(xmm2, xmm7); |
| unpckhpd(xmm0, xmm0); |
| addsd(xmm0, xmm1); |
| addsd(xmm0, xmm6); |
| addl(edx, 894); |
| cmpl(edx, 1916); |
| jcc(Assembler::above, L_2TAG_PACKET_1_0_2); |
| mulsd(xmm0, xmm2); |
| addsd(xmm0, xmm2); |
| jmp(L_2TAG_PACKET_2_0_2); |
| |
| bind(L_2TAG_PACKET_1_0_2); |
| fnstcw(Address(rsp, 24)); |
| movzwl(edx, Address(rsp, 24)); |
| orl(edx, 768); |
| movw(Address(rsp, 28), edx); |
| fldcw(Address(rsp, 28)); |
| movl(edx, eax); |
| sarl(eax, 1); |
| subl(edx, eax); |
| movdqu(xmm6, Address(tmp, 0)); // 0x00000000UL, 0xfff00000UL, 0x00000000UL, 0xfff00000UL |
| pandn(xmm6, xmm2); |
| addl(eax, 1023); |
| movdl(xmm3, eax); |
| psllq(xmm3, 52); |
| por(xmm6, xmm3); |
| addl(edx, 1023); |
| movdl(xmm4, edx); |
| psllq(xmm4, 52); |
| movsd(Address(rsp, 8), xmm0); |
| fld_d(Address(rsp, 8)); |
| movsd(Address(rsp, 16), xmm6); |
| fld_d(Address(rsp, 16)); |
| fmula(1); |
| faddp(1); |
| movsd(Address(rsp, 8), xmm4); |
| fld_d(Address(rsp, 8)); |
| fmulp(1); |
| fstp_d(Address(rsp, 8)); |
| movsd(xmm0, Address(rsp, 8)); |
| fldcw(Address(rsp, 24)); |
| pextrw(ecx, xmm0, 3); |
| andl(ecx, 32752); |
| cmpl(ecx, 32752); |
| jcc(Assembler::aboveEqual, L_2TAG_PACKET_3_0_2); |
| cmpl(ecx, 0); |
| jcc(Assembler::equal, L_2TAG_PACKET_4_0_2); |
| jmp(L_2TAG_PACKET_2_0_2); |
| cmpl(ecx, INT_MIN); |
| jcc(Assembler::below, L_2TAG_PACKET_3_0_2); |
| cmpl(ecx, -1064950997); |
| jcc(Assembler::below, L_2TAG_PACKET_2_0_2); |
| jcc(Assembler::above, L_2TAG_PACKET_4_0_2); |
| movl(edx, Address(rsp, 128)); |
| cmpl(edx, -17155601); |
| jcc(Assembler::below, L_2TAG_PACKET_2_0_2); |
| jmp(L_2TAG_PACKET_4_0_2); |
| |
| bind(L_2TAG_PACKET_3_0_2); |
| movl(edx, 14); |
| jmp(L_2TAG_PACKET_5_0_2); |
| |
| bind(L_2TAG_PACKET_4_0_2); |
| movl(edx, 15); |
| |
| bind(L_2TAG_PACKET_5_0_2); |
| movsd(Address(rsp, 0), xmm0); |
| movsd(xmm0, Address(rsp, 128)); |
| fld_d(Address(rsp, 0)); |
| jmp(L_2TAG_PACKET_6_0_2); |
| |
| bind(L_2TAG_PACKET_7_0_2); |
| cmpl(eax, 2146435072); |
| jcc(Assembler::aboveEqual, L_2TAG_PACKET_8_0_2); |
| movl(eax, Address(rsp, 132)); |
| cmpl(eax, INT_MIN); |
| jcc(Assembler::aboveEqual, L_2TAG_PACKET_9_0_2); |
| movsd(xmm0, Address(tmp, 1208)); // 0xffffffffUL, 0x7fefffffUL |
| mulsd(xmm0, xmm0); |
| movl(edx, 14); |
| jmp(L_2TAG_PACKET_5_0_2); |
| |
| bind(L_2TAG_PACKET_9_0_2); |
| movsd(xmm0, Address(tmp, 1216)); |
| mulsd(xmm0, xmm0); |
| movl(edx, 15); |
| jmp(L_2TAG_PACKET_5_0_2); |
| |
| bind(L_2TAG_PACKET_8_0_2); |
| movl(edx, Address(rsp, 128)); |
| cmpl(eax, 2146435072); |
| jcc(Assembler::above, L_2TAG_PACKET_10_0_2); |
| cmpl(edx, 0); |
| jcc(Assembler::notEqual, L_2TAG_PACKET_10_0_2); |
| movl(eax, Address(rsp, 132)); |
| cmpl(eax, 2146435072); |
| jcc(Assembler::notEqual, L_2TAG_PACKET_11_0_2); |
| movsd(xmm0, Address(tmp, 1192)); // 0x00000000UL, 0x7ff00000UL |
| jmp(L_2TAG_PACKET_2_0_2); |
| |
| bind(L_2TAG_PACKET_11_0_2); |
| movsd(xmm0, Address(tmp, 1200)); // 0x00000000UL, 0x00000000UL |
| jmp(L_2TAG_PACKET_2_0_2); |
| |
| bind(L_2TAG_PACKET_10_0_2); |
| movsd(xmm0, Address(rsp, 128)); |
| addsd(xmm0, xmm0); |
| jmp(L_2TAG_PACKET_2_0_2); |
| |
| bind(L_2TAG_PACKET_0_0_2); |
| movl(eax, Address(rsp, 132)); |
| andl(eax, 2147483647); |
| cmpl(eax, 1083179008); |
| jcc(Assembler::aboveEqual, L_2TAG_PACKET_7_0_2); |
| movsd(xmm0, Address(rsp, 128)); |
| addsd(xmm0, Address(tmp, 1184)); // 0x00000000UL, 0x3ff00000UL |
| jmp(L_2TAG_PACKET_2_0_2); |
| |
| bind(L_2TAG_PACKET_2_0_2); |
| movsd(Address(rsp, 48), xmm0); |
| fld_d(Address(rsp, 48)); |
| |
| bind(L_2TAG_PACKET_6_0_2); |
| movl(tmp, Address(rsp, 64)); |
| } |
| #endif |
