dnl SPARC v9 64-bit mpn_addmul_2 -- Multiply an n limb number with 2-limb dnl number and add the result to a n limb vector. dnl Copyright 2002, 2003 Free Software Foundation, Inc. dnl This file is part of the GNU MP Library. dnl The GNU MP Library is free software; you can redistribute it and/or modify dnl it under the terms of the GNU Lesser General Public License as published dnl by the Free Software Foundation; either version 2.1 of the License, or (at dnl your option) any later version. 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 Lesser General Public dnl License for more details. dnl You should have received a copy of the GNU Lesser General Public License dnl along with the GNU MP Library; see the file COPYING.LIB. If not, write dnl to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, dnl Boston, MA 02110-1301, USA. include(`../config.m4') C cycles/limb C UltraSPARC 1&2: 9 C UltraSPARC 3: 10 C Algorithm: We use 16 floating-point multiplies per limb product, with the C 2-limb v operand split into eight 16-bit pieces, and the n-limb u operand C split into 32-bit pieces. We sum four 48-bit partial products using C floating-point add, then convert the resulting four 50-bit quantities and C transfer them to the integer unit. C Possible optimizations: C 1. Align the stack area where we transfer the four 50-bit product-sums C to a 32-byte boundary. That would minimize the cache collision. C (UltraSPARC-1/2 use a direct-mapped cache.) (Perhaps even better would C be to align the area to map to the area immediately before up?) C 2. Perform two of the fp->int conversions with integer instructions. We C can get almost ten free IEU slots, if we clean up bookkeeping and the C silly carry-limb code. C 3. For an mpn_addmul_1 based on this, we need to fix the silly carry-limb C code. C OSP (Overlapping software pipeline) version of mpn_mul_basecase: C Operand swap will require 8 LDDA and 8 FXTOD, which will mean 8 cycles. C FI = 20 C L = 9 x un * vn C WDFI = 10 x vn / 2 C WD = 4 C Instruction classification (as per UltraSPARC functional units). C Assuming silly carry code is fixed. Includes bookkeeping. C C mpn_addmul_X mpn_mul_X C 1 2 1 2 C ========== ========== C FM 8 16 8 16 C FA 10 18 10 18 C MEM 12 12 10 10 C ISHIFT 6 6 6 6 C IADDLOG 11 11 10 10 C BRANCH 1 1 1 1 C C TOTAL IEU 17 17 16 16 C TOTAL 48 64 45 61 C C IEU cycles 8.5 8.5 8 8 C MEM cycles 12 12 10 10 C ISSUE cycles 12 16 11.25 15.25 C FPU cycles 10 18 10 18 C cycles/loop 12 18 12 18 C cycles/limb 12 9 12 9 C INPUT PARAMETERS C rp[n + 1] i0 C up[n] i1 C n i2 C vp[2] i3 ASM_START() REGISTER(%g2,#scratch) REGISTER(%g3,#scratch) C Combine registers: C u00_hi= u32_hi C u00_lo= u32_lo C a000 = out000 C a016 = out016 C Free: f52 f54 define(`p000', `%f8') define(`p016',`%f10') define(`p032',`%f12') define(`p048',`%f14') define(`p064',`%f16') define(`p080',`%f18') define(`p096a',`%f20') define(`p112a',`%f22') define(`p096b',`%f56') define(`p112b',`%f58') define(`out000',`%f0') define(`out016',`%f6') define(`v000',`%f24') define(`v016',`%f26') define(`v032',`%f28') define(`v048',`%f30') define(`v064',`%f44') define(`v080',`%f46') define(`v096',`%f48') define(`v112',`%f50') define(`u00',`%f32') define(`u32', `%f34') define(`a000',`%f36') define(`a016',`%f38') define(`a032',`%f40') define(`a048',`%f42') define(`a064',`%f60') define(`a080',`%f62') define(`u00_hi',`%f2') define(`u32_hi',`%f4') define(`u00_lo',`%f3') define(`u32_lo',`%f5') define(`cy',`%g1') define(`rlimb',`%g3') define(`i00',`%l0') define(`i16',`%l1') define(`r00',`%l2') define(`r32',`%l3') define(`xffffffff',`%l7') define(`xffff',`%o0') PROLOGUE(mpn_addmul_2) C Initialization. (1) Split v operand into eight 16-bit chunks and store them C as IEEE double in fp registers. (2) Clear upper 32 bits of fp register pairs C f2 and f4. (3) Store masks in registers aliased to `xffff' and `xffffffff'. C This code could be better scheduled. save %sp, -256, %sp ifdef(`HAVE_VIS', ` mov -1, %g4 wr %g0, 0xD2, %asi srlx %g4, 32, xffffffff C store mask in register `xffffffff' ldda [%i3+6] %asi, v000 ldda [%i3+4] %asi, v016 ldda [%i3+2] %asi, v032 ldda [%i3+0] %asi, v048 fxtod v000, v000 ldda [%i3+14] %asi, v064 fxtod v016, v016 ldda [%i3+12] %asi, v080 fxtod v032, v032 ldda [%i3+10] %asi, v096 fxtod v048, v048 ldda [%i3+8] %asi, v112 fxtod v064, v064 fxtod v080, v080 fxtod v096, v096 fxtod v112, v112 fzero u00_hi fzero u32_hi ', ` mov -1, %g4 ldx [%i3+0], %l0 C vp[0] srlx %g4, 48, xffff C store mask in register `xffff' ldx [%i3+8], %l1 C vp[1] and %l0, xffff, %g2 stx %g2, [%sp+2223+0] srlx %l0, 16, %g3 and %g3, xffff, %g3 stx %g3, [%sp+2223+8] srlx %l0, 32, %g2 and %g2, xffff, %g2 stx %g2, [%sp+2223+16] srlx %l0, 48, %g3 stx %g3, [%sp+2223+24] and %l1, xffff, %g2 stx %g2, [%sp+2223+32] srlx %l1, 16, %g3 and %g3, xffff, %g3 stx %g3, [%sp+2223+40] srlx %l1, 32, %g2 and %g2, xffff, %g2 stx %g2, [%sp+2223+48] srlx %l1, 48, %g3 stx %g3, [%sp+2223+56] srlx %g4, 32, xffffffff C store mask in register `xffffffff' ldd [%sp+2223+0], v000 ldd [%sp+2223+8], v016 ldd [%sp+2223+16], v032 ldd [%sp+2223+24], v048 fxtod v000, v000 ldd [%sp+2223+32], v064 fxtod v016, v016 ldd [%sp+2223+40], v080 fxtod v032, v032 ldd [%sp+2223+48], v096 fxtod v048, v048 ldd [%sp+2223+56], v112 fxtod v064, v064 ld [%sp+2223+0], u00_hi C zero u00_hi fxtod v080, v080 ld [%sp+2223+0], u32_hi C zero u32_hi fxtod v096, v096 fxtod v112, v112 ') C Initialization done. mov 0, %g2 mov 0, rlimb mov 0, %g4 add %i0, -8, %i0 C BOOKKEEPING C Start software pipeline. ld [%i1+4], u00_lo C read low 32 bits of up[i] fxtod u00_hi, u00 C mid ld [%i1+0], u32_lo C read high 32 bits of up[i] fmuld u00, v000, a000 fmuld u00, v016, a016 fmuld u00, v032, a032 fmuld u00, v048, a048 add %i2, -1, %i2 C BOOKKEEPING fmuld u00, v064, p064 add %i1, 8, %i1 C BOOKKEEPING fxtod u32_hi, u32 fmuld u00, v080, p080 fmuld u00, v096, p096a brnz,pt %i2, .L_2_or_more fmuld u00, v112, p112a .L1: fdtox a000, out000 fmuld u32, v000, p000 fdtox a016, out016 fmuld u32, v016, p016 fmovd p064, a064 fmuld u32, v032, p032 fmovd p080, a080 fmuld u32, v048, p048 std out000, [%sp+2223+16] faddd p000, a032, a000 fmuld u32, v064, p064 std out016, [%sp+2223+24] fxtod u00_hi, u00 faddd p016, a048, a016 fmuld u32, v080, p080 faddd p032, a064, a032 fmuld u32, v096, p096b faddd p048, a080, a048 fmuld u32, v112, p112b C mid fdtox a000, out000 fdtox a016, out016 faddd p064, p096a, a064 faddd p080, p112a, a080 std out000, [%sp+2223+0] b .L_wd2 std out016, [%sp+2223+8] .L_2_or_more: ld [%i1+4], u00_lo C read low 32 bits of up[i] fdtox a000, out000 fmuld u32, v000, p000 fdtox a016, out016 fmuld u32, v016, p016 fmovd p064, a064 fmuld u32, v032, p032 fmovd p080, a080 fmuld u32, v048, p048 std out000, [%sp+2223+16] faddd p000, a032, a000 fmuld u32, v064, p064 std out016, [%sp+2223+24] fxtod u00_hi, u00 faddd p016, a048, a016 fmuld u32, v080, p080 faddd p032, a064, a032 fmuld u32, v096, p096b faddd p048, a080, a048 fmuld u32, v112, p112b C mid ld [%i1+0], u32_lo C read high 32 bits of up[i] fdtox a000, out000 fmuld u00, v000, p000 fdtox a016, out016 fmuld u00, v016, p016 faddd p064, p096a, a064 fmuld u00, v032, p032 faddd p080, p112a, a080 fmuld u00, v048, p048 add %i2, -1, %i2 C BOOKKEEPING std out000, [%sp+2223+0] faddd p000, a032, a000 fmuld u00, v064, p064 add %i1, 8, %i1 C BOOKKEEPING std out016, [%sp+2223+8] fxtod u32_hi, u32 faddd p016, a048, a016 fmuld u00, v080, p080 faddd p032, a064, a032 fmuld u00, v096, p096a faddd p048, a080, a048 brnz,pt %i2, .L_3_or_more fmuld u00, v112, p112a b .Lend nop C 64 32 0 C . . . C . |__rXXX_| 32 C . |___cy___| 34 C . |_______i00__| 50 C |_______i16__| . 50 C BEGIN MAIN LOOP .align 16 .L_3_or_more: .Loop: ld [%i1+4], u00_lo C read low 32 bits of up[i] and %g2, xffffffff, %g2 fdtox a000, out000 fmuld u32, v000, p000 C lduw [%i0+4+8], r00 C read low 32 bits of rp[i] add %g2, rlimb, %l5 fdtox a016, out016 fmuld u32, v016, p016 C srlx %l5, 32, cy ldx [%sp+2223+16], i00 faddd p064, p096b, a064 fmuld u32, v032, p032 C add %g4, cy, cy C new cy ldx [%sp+2223+24], i16 faddd p080, p112b, a080 fmuld u32, v048, p048 C nop std out000, [%sp+2223+16] faddd p000, a032, a000 fmuld u32, v064, p064 C add i00, r00, rlimb add %i0, 8, %i0 C BOOKKEEPING std out016, [%sp+2223+24] fxtod u00_hi, u00 C sllx i16, 16, %g2 add cy, rlimb, rlimb faddd p016, a048, a016 fmuld u32, v080, p080 C srlx i16, 16, %g4 add %g2, rlimb, %l5 faddd p032, a064, a032 fmuld u32, v096, p096b C stw %l5, [%i0+4] nop faddd p048, a080, a048 fmuld u32, v112, p112b C midloop ld [%i1+0], u32_lo C read high 32 bits of up[i] and %g2, xffffffff, %g2 fdtox a000, out000 fmuld u00, v000, p000 C lduw [%i0+0], r32 C read high 32 bits of rp[i] add %g2, rlimb, %l5 fdtox a016, out016 fmuld u00, v016, p016 C srlx %l5, 32, cy ldx [%sp+2223+0], i00 faddd p064, p096a, a064 fmuld u00, v032, p032 C add %g4, cy, cy C new cy ldx [%sp+2223+8], i16 faddd p080, p112a, a080 fmuld u00, v048, p048 C add %i2, -1, %i2 C BOOKKEEPING std out000, [%sp+2223+0] faddd p000, a032, a000 fmuld u00, v064, p064 C add i00, r32, rlimb add %i1, 8, %i1 C BOOKKEEPING std out016, [%sp+2223+8] fxtod u32_hi, u32 C sllx i16, 16, %g2 add cy, rlimb, rlimb faddd p016, a048, a016 fmuld u00, v080, p080 C srlx i16, 16, %g4 add %g2, rlimb, %l5 faddd p032, a064, a032 fmuld u00, v096, p096a C stw %l5, [%i0+0] faddd p048, a080, a048 brnz,pt %i2, .Loop fmuld u00, v112, p112a C END MAIN LOOP C WIND-DOWN PHASE 1 .Lend: and %g2, xffffffff, %g2 fdtox a000, out000 fmuld u32, v000, p000 lduw [%i0+4+8], r00 C read low 32 bits of rp[i] add %g2, rlimb, %l5 fdtox a016, out016 fmuld u32, v016, p016 srlx %l5, 32, cy ldx [%sp+2223+16], i00 faddd p064, p096b, a064 fmuld u32, v032, p032 add %g4, cy, cy C new cy ldx [%sp+2223+24], i16 faddd p080, p112b, a080 fmuld u32, v048, p048 std out000, [%sp+2223+16] faddd p000, a032, a000 fmuld u32, v064, p064 add i00, r00, rlimb add %i0, 8, %i0 C BOOKKEEPING std out016, [%sp+2223+24] sllx i16, 16, %g2 add cy, rlimb, rlimb faddd p016, a048, a016 fmuld u32, v080, p080 srlx i16, 16, %g4 add %g2, rlimb, %l5 faddd p032, a064, a032 fmuld u32, v096, p096b stw %l5, [%i0+4] faddd p048, a080, a048 fmuld u32, v112, p112b C mid and %g2, xffffffff, %g2 fdtox a000, out000 lduw [%i0+0], r32 C read high 32 bits of rp[i] add %g2, rlimb, %l5 fdtox a016, out016 srlx %l5, 32, cy ldx [%sp+2223+0], i00 faddd p064, p096a, a064 add %g4, cy, cy C new cy ldx [%sp+2223+8], i16 faddd p080, p112a, a080 std out000, [%sp+2223+0] add i00, r32, rlimb std out016, [%sp+2223+8] sllx i16, 16, %g2 add cy, rlimb, rlimb srlx i16, 16, %g4 add %g2, rlimb, %l5 stw %l5, [%i0+0] C WIND-DOWN PHASE 2 .L_wd2: and %g2, xffffffff, %g2 fdtox a032, out000 lduw [%i0+4+8], r00 C read low 32 bits of rp[i] add %g2, rlimb, %l5 fdtox a048, out016 srlx %l5, 32, cy ldx [%sp+2223+16], i00 add %g4, cy, cy C new cy ldx [%sp+2223+24], i16 std out000, [%sp+2223+16] add i00, r00, rlimb add %i0, 8, %i0 C BOOKKEEPING std out016, [%sp+2223+24] sllx i16, 16, %g2 add cy, rlimb, rlimb srlx i16, 16, %g4 add %g2, rlimb, %l5 stw %l5, [%i0+4] C mid and %g2, xffffffff, %g2 fdtox a064, out000 lduw [%i0+0], r32 C read high 32 bits of rp[i] add %g2, rlimb, %l5 fdtox a080, out016 srlx %l5, 32, cy ldx [%sp+2223+0], i00 add %g4, cy, cy C new cy ldx [%sp+2223+8], i16 std out000, [%sp+2223+0] add i00, r32, rlimb std out016, [%sp+2223+8] sllx i16, 16, %g2 add cy, rlimb, rlimb srlx i16, 16, %g4 add %g2, rlimb, %l5 stw %l5, [%i0+0] C WIND-DOWN PHASE 3 .L_wd3: and %g2, xffffffff, %g2 fdtox p096b, out000 add %g2, rlimb, %l5 fdtox p112b, out016 srlx %l5, 32, cy ldx [%sp+2223+16], rlimb add %g4, cy, cy C new cy ldx [%sp+2223+24], i16 std out000, [%sp+2223+16] add %i0, 8, %i0 C BOOKKEEPING std out016, [%sp+2223+24] sllx i16, 16, %g2 add cy, rlimb, rlimb srlx i16, 16, %g4 add %g2, rlimb, %l5 stw %l5, [%i0+4] C mid and %g2, xffffffff, %g2 add %g2, rlimb, %l5 srlx %l5, 32, cy ldx [%sp+2223+0], rlimb add %g4, cy, cy C new cy ldx [%sp+2223+8], i16 sllx i16, 16, %g2 add cy, rlimb, rlimb srlx i16, 16, %g4 add %g2, rlimb, %l5 stw %l5, [%i0+0] and %g2, xffffffff, %g2 add %g2, rlimb, %l5 srlx %l5, 32, cy ldx [%sp+2223+16], i00 add %g4, cy, cy C new cy ldx [%sp+2223+24], i16 sllx i16, 16, %g2 add i00, cy, cy return %i7+8 add %g2, cy, %o0 EPILOGUE(mpn_addmul_2)