/* * 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 "runtime/stubRoutines.hpp" #include "macroAssembler_x86.hpp" #ifdef _MSC_VER #define ALIGNED_(x) __declspec(align(x)) #else #define ALIGNED_(x) __attribute__ ((aligned(x))) #endif /******************************************************************************/ // 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 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 }; ALIGNED_(16) juint _shifter[] = { 0x00000000UL, 0x43380000UL, 0x00000000UL, 0x43380000UL }; ALIGNED_(16) juint _mmask[] = { 0xffffffc0UL, 0x00000000UL, 0xffffffc0UL, 0x00000000UL }; ALIGNED_(16) juint _bias[] = { 0x0000ffc0UL, 0x00000000UL, 0x0000ffc0UL, 0x00000000UL }; 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 }; ALIGNED_(16) juint _ALLONES[] = { 0xffffffffUL, 0xffffffffUL, 0xffffffffUL, 0xffffffffUL }; ALIGNED_(16) juint _ebias[] = { 0x00000000UL, 0x3ff00000UL, 0x00000000UL, 0x3ff00000UL }; ALIGNED_(4) juint _XMAX[] = { 0xffffffffUL, 0x7fefffffUL }; ALIGNED_(4) juint _XMIN[] = { 0x00000000UL, 0x00100000UL }; ALIGNED_(4) juint _INF[] = { 0x00000000UL, 0x7ff00000UL }; ALIGNED_(4) juint _ZERO[] = { 0x00000000UL, 0x00000000UL }; 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 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, L_2TAG_PACKET_13_0_2, B1_3, B1_5, 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)); movdqu(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::greaterEqual, 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::less, L_2TAG_PACKET_3_0_2); cmpl(ecx, -1064950997); jcc(Assembler::less, L_2TAG_PACKET_2_0_2); jcc(Assembler::greater, L_2TAG_PACKET_4_0_2); movl(edx, Address(rsp, 128)); cmpl(edx, -17155601); jcc(Assembler::less, 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::greaterEqual, L_2TAG_PACKET_8_0_2); movl(eax, Address(rsp, 132)); cmpl(eax, INT_MIN); jcc(Assembler::greaterEqual, 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