dnl x86 mpn_invert_limb dnl Contributed to the GNU project by Niels Möller dnl Copyright 2009, 2011 Free Software Foundation, Inc. dnl This file is part of the GNU MP Library. dnl dnl The GNU MP Library is free software; you can redistribute it and/or modify dnl it under the terms of either: dnl dnl * the GNU Lesser General Public License as published by the Free dnl Software Foundation; either version 3 of the License, or (at your dnl option) any later version. dnl dnl or dnl dnl * the GNU General Public License as published by the Free Software dnl Foundation; either version 2 of the License, or (at your option) any dnl later version. dnl dnl or both in parallel, as here. dnl dnl The GNU MP Library is distributed in the hope that it will be useful, but dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License dnl for more details. dnl dnl You should have received copies of the GNU General Public License and the dnl GNU Lesser General Public License along with the GNU MP Library. If not, dnl see https://www.gnu.org/licenses/. include(`../config.m4') C cycles (approx) div C P5 ? C P6 model 0-8,10-12 ? C P6 model 9 (Banias) ? C P6 model 13 (Dothan) ? C P4 model 0 (Willamette) ? C P4 model 1 (?) ? C P4 model 2 (Northwood) ? C P4 model 3 (Prescott) ? C P4 model 4 (Nocona) ? C AMD K6 ? C AMD K7 41 53 C AMD K8 ? C TODO C * These c/l numbers are for a non-PIC build. Consider falling back to using C the 'div' instruction for PIC builds. C * Perhaps use this file--or at least the algorithm--for more machines than k7. C Register usage: C Input D in %edi C Current approximation is in %eax and/or %ecx C %ebx and %edx are temporaries C %esi and %ebp are unused defframe(PARAM_DIVISOR,4) ASM_START() C Make approx_tab global to work around Apple relocation bug. ifdef(`DARWIN',` deflit(`approx_tab', MPN(invert_limb_tab)) GLOBL approx_tab') TEXT ALIGN(16) PROLOGUE(mpn_invert_limb) deflit(`FRAME', 0) mov PARAM_DIVISOR, %eax C Avoid push/pop on k7. sub $8, %esp FRAME_subl_esp(8) mov %ebx, (%esp) mov %edi, 4(%esp) mov %eax, %edi shr $22, %eax ifdef(`PIC',` LEA( approx_tab, %ebx) movzwl -1024(%ebx, %eax, 2), %eax ',` movzwl -1024+approx_tab(%eax, %eax), %eax C %eax = v0 ') C v1 = (v0 << 4) - ((v0*v0*d_21) >> 32) - 1 mov %eax, %ecx imul %eax, %eax mov %edi, %ebx shr $11, %ebx inc %ebx mul %ebx mov %edi, %ebx C Prepare shr %ebx sbb %eax, %eax sub %eax, %ebx C %ebx = d_31, %eax = mask shl $4, %ecx dec %ecx sub %edx, %ecx C %ecx = v1 C v_2 = (v1 << 15) + ((v1 *(2^48 - v1 * d31 + (v1 >> 1) & mask)) >> 33) imul %ecx, %ebx and %ecx, %eax shr %eax sub %ebx, %eax mul %ecx mov %edi, %eax C Prepare for next mul shl $15, %ecx shr %edx add %edx, %ecx C %ecx = v2 mul %ecx add %edi, %eax mov %ecx, %eax adc %edi, %edx sub %edx, %eax C %eax = v3 mov (%esp), %ebx mov 4(%esp), %edi add $8, %esp ret EPILOGUE() DEF_OBJECT(approx_tab,2) .value 0x7fe1,0x7fa1,0x7f61,0x7f22,0x7ee3,0x7ea4,0x7e65,0x7e27 .value 0x7de9,0x7dab,0x7d6d,0x7d30,0x7cf3,0x7cb6,0x7c79,0x7c3d .value 0x7c00,0x7bc4,0x7b89,0x7b4d,0x7b12,0x7ad7,0x7a9c,0x7a61 .value 0x7a27,0x79ec,0x79b2,0x7979,0x793f,0x7906,0x78cc,0x7894 .value 0x785b,0x7822,0x77ea,0x77b2,0x777a,0x7742,0x770b,0x76d3 .value 0x769c,0x7665,0x762f,0x75f8,0x75c2,0x758c,0x7556,0x7520 .value 0x74ea,0x74b5,0x7480,0x744b,0x7416,0x73e2,0x73ad,0x7379 .value 0x7345,0x7311,0x72dd,0x72aa,0x7277,0x7243,0x7210,0x71de .value 0x71ab,0x7179,0x7146,0x7114,0x70e2,0x70b1,0x707f,0x704e .value 0x701c,0x6feb,0x6fba,0x6f8a,0x6f59,0x6f29,0x6ef9,0x6ec8 .value 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.value 0x43a3,0x4391,0x437f,0x436d,0x435c,0x434a,0x4338,0x4327 .value 0x4315,0x4303,0x42f2,0x42e0,0x42cf,0x42bd,0x42ac,0x429b .value 0x4289,0x4278,0x4267,0x4256,0x4244,0x4233,0x4222,0x4211 .value 0x4200,0x41ef,0x41de,0x41cd,0x41bc,0x41ab,0x419a,0x418a .value 0x4179,0x4168,0x4157,0x4147,0x4136,0x4125,0x4115,0x4104 .value 0x40f4,0x40e3,0x40d3,0x40c2,0x40b2,0x40a2,0x4091,0x4081 .value 0x4071,0x4061,0x4050,0x4040,0x4030,0x4020,0x4010,0x4000 END_OBJECT(approx_tab)