dnl HP-PA 2.0 64-bit mpn_mul_1 -- Multiply a limb vector with a limb and store dnl the result in a second limb vector. dnl Copyright 1998-2000, 2002, 2003 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/limb C 8000,8200: 6.5 C 8500,8600,8700: 5.625 C The feed-in and wind-down code has not yet been scheduled. Many cycles C could be saved there per call. C DESCRIPTION: C The main loop "BIG" is 4-way unrolled, mainly to allow C effective use of ADD,DC. Delays in moving data via the cache from the FP C registers to the IU registers, have demanded a deep software pipeline, and C a lot of stack slots for partial products in flight. C C CODE STRUCTURE: C save-some-registers C do 0, 1, 2, or 3 limbs C if done, restore-some-regs and return C save-many-regs C do 4, 8, ... limb C restore-all-regs C STACK LAYOUT: C HP-PA stack grows upwards. We could allocate 8 fewer slots by using the C slots marked FREE, as well as some slots in the caller's "frame marker". C C -00 <- r30 C -08 FREE C -10 tmp C -18 tmp C -20 tmp C -28 tmp C -30 tmp C -38 tmp C -40 tmp C -48 tmp C -50 tmp C -58 tmp C -60 tmp C -68 tmp C -70 tmp C -78 tmp C -80 tmp C -88 tmp C -90 FREE C -98 FREE C -a0 FREE C -a8 FREE C -b0 r13 C -b8 r12 C -c0 r11 C -c8 r10 C -d0 r8 C -d8 r8 C -e0 r7 C -e8 r6 C -f0 r5 C -f8 r4 C -100 r3 C Previous frame: C [unused area] C -38/-138 vlimb home slot. For 2.0N, the vlimb arg will arrive here. include(`../config.m4') C INPUT PARAMETERS: define(`rp',`%r26') C define(`up',`%r25') C define(`n',`%r24') C define(`vlimb',`%r23') C define(`climb',`%r23') C ifdef(`HAVE_ABI_2_0w', ` .level 2.0w ',` .level 2.0 ') PROLOGUE(mpn_mul_1) ifdef(`HAVE_ABI_2_0w', ` std vlimb, -0x38(%r30) C store vlimb into "home" slot ') std,ma %r3, 0x100(%r30) std %r4, -0xf8(%r30) std %r5, -0xf0(%r30) ldo 0(%r0), climb C clear climb fldd -0x138(%r30), %fr8 C put vlimb in fp register define(`p032a1',`%r1') C define(`p032a2',`%r19') C define(`m032',`%r20') C define(`m096',`%r21') C define(`p000a',`%r22') C define(`p064a',`%r29') C define(`s000',`%r31') C define(`ma000',`%r4') C define(`ma064',`%r20') C C define(`r000',`%r3') C FIXME don't save r3 for n < 4. extrd,u n, 63, 2, %r5 cmpb,= %r5, %r0, L(BIG) nop fldd 0(up), %fr4 ldo 8(up), up xmpyu %fr8R, %fr4L, %fr22 xmpyu %fr8L, %fr4R, %fr23 fstd %fr22, -0x78(%r30) C mid product to -0x78..-0x71 xmpyu %fr8R, %fr4R, %fr24 xmpyu %fr8L, %fr4L, %fr25 fstd %fr23, -0x70(%r30) C mid product to -0x70..-0x69 fstd %fr24, -0x80(%r30) C low product to -0x80..-0x79 addib,<> -1, %r5, L(two_or_more) fstd %fr25, -0x68(%r30) C high product to -0x68..-0x61 LDEF(one) ldd -0x78(%r30), p032a1 ldd -0x70(%r30), p032a2 ldd -0x80(%r30), p000a b L(0_one_out) ldd -0x68(%r30), p064a LDEF(two_or_more) fldd 0(up), %fr4 ldo 8(up), up xmpyu %fr8R, %fr4L, %fr22 xmpyu %fr8L, %fr4R, %fr23 ldd -0x78(%r30), p032a1 fstd %fr22, -0x78(%r30) C mid product to -0x78..-0x71 xmpyu %fr8R, %fr4R, %fr24 xmpyu %fr8L, %fr4L, %fr25 ldd -0x70(%r30), p032a2 fstd %fr23, -0x70(%r30) C mid product to -0x70..-0x69 ldd -0x80(%r30), p000a fstd %fr24, -0x80(%r30) C low product to -0x80..-0x79 ldd -0x68(%r30), p064a addib,<> -1, %r5, L(three_or_more) fstd %fr25, -0x68(%r30) C high product to -0x68..-0x61 LDEF(two) add p032a1, p032a2, m032 add,dc %r0, %r0, m096 depd,z m032, 31, 32, ma000 extrd,u m032, 31, 32, ma064 b L(0_two_out) depd m096, 31, 32, ma064 LDEF(three_or_more) fldd 0(up), %fr4 add p032a1, p032a2, m032 add,dc %r0, %r0, m096 depd,z m032, 31, 32, ma000 extrd,u m032, 31, 32, ma064 C addib,= -1, %r5, L(0_out) depd m096, 31, 32, ma064 LDEF(loop0) C xmpyu %fr8R, %fr4L, %fr22 C xmpyu %fr8L, %fr4R, %fr23 C ldd -0x78(%r30), p032a1 C fstd %fr22, -0x78(%r30) C mid product to -0x78..-0x71 C C xmpyu %fr8R, %fr4R, %fr24 C xmpyu %fr8L, %fr4L, %fr25 C ldd -0x70(%r30), p032a2 C fstd %fr23, -0x70(%r30) C mid product to -0x70..-0x69 C C ldo 8(rp), rp C add climb, p000a, s000 C ldd -0x80(%r30), p000a C fstd %fr24, -0x80(%r30) C low product to -0x80..-0x79 C C add,dc p064a, %r0, climb C ldo 8(up), up C ldd -0x68(%r30), p064a C fstd %fr25, -0x68(%r30) C high product to -0x68..-0x61 C C add ma000, s000, s000 C add,dc ma064, climb, climb C fldd 0(up), %fr4 C C std s000, -8(rp) C C add p032a1, p032a2, m032 C add,dc %r0, %r0, m096 C C depd,z m032, 31, 32, ma000 C extrd,u m032, 31, 32, ma064 C addib,<> -1, %r5, L(loop0) C depd m096, 31, 32, ma064 LDEF(0_out) ldo 8(up), up xmpyu %fr8R, %fr4L, %fr22 xmpyu %fr8L, %fr4R, %fr23 ldd -0x78(%r30), p032a1 fstd %fr22, -0x78(%r30) C mid product to -0x78..-0x71 xmpyu %fr8R, %fr4R, %fr24 xmpyu %fr8L, %fr4L, %fr25 ldd -0x70(%r30), p032a2 fstd %fr23, -0x70(%r30) C mid product to -0x70..-0x69 ldo 8(rp), rp add climb, p000a, s000 ldd -0x80(%r30), p000a fstd %fr24, -0x80(%r30) C low product to -0x80..-0x79 add,dc p064a, %r0, climb ldd -0x68(%r30), p064a fstd %fr25, -0x68(%r30) C high product to -0x68..-0x61 add ma000, s000, s000 add,dc ma064, climb, climb std s000, -8(rp) add p032a1, p032a2, m032 add,dc %r0, %r0, m096 depd,z m032, 31, 32, ma000 extrd,u m032, 31, 32, ma064 depd m096, 31, 32, ma064 LDEF(0_two_out) ldd -0x78(%r30), p032a1 ldd -0x70(%r30), p032a2 ldo 8(rp), rp add climb, p000a, s000 ldd -0x80(%r30), p000a add,dc p064a, %r0, climb ldd -0x68(%r30), p064a add ma000, s000, s000 add,dc ma064, climb, climb std s000, -8(rp) LDEF(0_one_out) add p032a1, p032a2, m032 add,dc %r0, %r0, m096 depd,z m032, 31, 32, ma000 extrd,u m032, 31, 32, ma064 depd m096, 31, 32, ma064 add climb, p000a, s000 add,dc p064a, %r0, climb add ma000, s000, s000 add,dc ma064, climb, climb std s000, 0(rp) cmpib,>= 4, n, L(done) ldo 8(rp), rp C 4-way unrolled code. LDEF(BIG) define(`p032a1',`%r1') C define(`p032a2',`%r19') C define(`p096b1',`%r20') C define(`p096b2',`%r21') C define(`p160c1',`%r22') C define(`p160c2',`%r29') C define(`p224d1',`%r31') C define(`p224d2',`%r3') C C define(`m032',`%r4') C define(`m096',`%r5') C define(`m160',`%r6') C define(`m224',`%r7') C define(`m288',`%r8') C C define(`p000a',`%r1') C define(`p064a',`%r19') C define(`p064b',`%r20') C define(`p128b',`%r21') C define(`p128c',`%r22') C define(`p192c',`%r29') C define(`p192d',`%r31') C define(`p256d',`%r3') C C define(`s000',`%r10') C define(`s064',`%r11') C define(`s128',`%r12') C define(`s192',`%r13') C C define(`ma000',`%r9') C define(`ma064',`%r4') C define(`ma128',`%r5') C define(`ma192',`%r6') C define(`ma256',`%r7') C std %r6, -0xe8(%r30) std %r7, -0xe0(%r30) std %r8, -0xd8(%r30) std %r9, -0xd0(%r30) std %r10, -0xc8(%r30) std %r11, -0xc0(%r30) std %r12, -0xb8(%r30) std %r13, -0xb0(%r30) ifdef(`HAVE_ABI_2_0w', ` extrd,u n, 61, 62, n C right shift 2 ',` extrd,u n, 61, 30, n C right shift 2, zero extend ') LDEF(4_or_more) fldd 0(up), %fr4 fldd 8(up), %fr5 fldd 16(up), %fr6 fldd 24(up), %fr7 xmpyu %fr8R, %fr4L, %fr22 xmpyu %fr8L, %fr4R, %fr23 xmpyu %fr8R, %fr5L, %fr24 xmpyu %fr8L, %fr5R, %fr25 xmpyu %fr8R, %fr6L, %fr26 xmpyu %fr8L, %fr6R, %fr27 fstd %fr22, -0x78(%r30) C mid product to -0x78..-0x71 xmpyu %fr8R, %fr7L, %fr28 xmpyu %fr8L, %fr7R, %fr29 fstd %fr23, -0x70(%r30) C mid product to -0x70..-0x69 xmpyu %fr8R, %fr4R, %fr30 xmpyu %fr8L, %fr4L, %fr31 fstd %fr24, -0x38(%r30) C mid product to -0x38..-0x31 xmpyu %fr8R, %fr5R, %fr22 xmpyu %fr8L, %fr5L, %fr23 fstd %fr25, -0x30(%r30) C mid product to -0x30..-0x29 xmpyu %fr8R, %fr6R, %fr24 xmpyu %fr8L, %fr6L, %fr25 fstd %fr26, -0x58(%r30) C mid product to -0x58..-0x51 xmpyu %fr8R, %fr7R, %fr26 fstd %fr27, -0x50(%r30) C mid product to -0x50..-0x49 addib,<> -1, n, L(8_or_more) xmpyu %fr8L, %fr7L, %fr27 fstd %fr28, -0x18(%r30) C mid product to -0x18..-0x11 fstd %fr29, -0x10(%r30) C mid product to -0x10..-0x09 fstd %fr30, -0x80(%r30) C low product to -0x80..-0x79 fstd %fr31, -0x68(%r30) C high product to -0x68..-0x61 fstd %fr22, -0x40(%r30) C low product to -0x40..-0x39 fstd %fr23, -0x28(%r30) C high product to -0x28..-0x21 fstd %fr24, -0x60(%r30) C low product to -0x60..-0x59 fstd %fr25, -0x48(%r30) C high product to -0x48..-0x41 fstd %fr26, -0x20(%r30) C low product to -0x20..-0x19 fstd %fr27, -0x88(%r30) C high product to -0x88..-0x81 ldd -0x78(%r30), p032a1 ldd -0x70(%r30), p032a2 ldd -0x38(%r30), p096b1 ldd -0x30(%r30), p096b2 ldd -0x58(%r30), p160c1 ldd -0x50(%r30), p160c2 ldd -0x18(%r30), p224d1 ldd -0x10(%r30), p224d2 b L(end1) nop LDEF(8_or_more) fstd %fr28, -0x18(%r30) C mid product to -0x18..-0x11 fstd %fr29, -0x10(%r30) C mid product to -0x10..-0x09 ldo 32(up), up fstd %fr30, -0x80(%r30) C low product to -0x80..-0x79 fstd %fr31, -0x68(%r30) C high product to -0x68..-0x61 fstd %fr22, -0x40(%r30) C low product to -0x40..-0x39 fstd %fr23, -0x28(%r30) C high product to -0x28..-0x21 fstd %fr24, -0x60(%r30) C low product to -0x60..-0x59 fstd %fr25, -0x48(%r30) C high product to -0x48..-0x41 fstd %fr26, -0x20(%r30) C low product to -0x20..-0x19 fstd %fr27, -0x88(%r30) C high product to -0x88..-0x81 fldd 0(up), %fr4 fldd 8(up), %fr5 fldd 16(up), %fr6 fldd 24(up), %fr7 xmpyu %fr8R, %fr4L, %fr22 ldd -0x78(%r30), p032a1 xmpyu %fr8L, %fr4R, %fr23 xmpyu %fr8R, %fr5L, %fr24 ldd -0x70(%r30), p032a2 xmpyu %fr8L, %fr5R, %fr25 xmpyu %fr8R, %fr6L, %fr26 ldd -0x38(%r30), p096b1 xmpyu %fr8L, %fr6R, %fr27 fstd %fr22, -0x78(%r30) C mid product to -0x78..-0x71 xmpyu %fr8R, %fr7L, %fr28 ldd -0x30(%r30), p096b2 xmpyu %fr8L, %fr7R, %fr29 fstd %fr23, -0x70(%r30) C mid product to -0x70..-0x69 xmpyu %fr8R, %fr4R, %fr30 ldd -0x58(%r30), p160c1 xmpyu %fr8L, %fr4L, %fr31 fstd %fr24, -0x38(%r30) C mid product to -0x38..-0x31 xmpyu %fr8R, %fr5R, %fr22 ldd -0x50(%r30), p160c2 xmpyu %fr8L, %fr5L, %fr23 fstd %fr25, -0x30(%r30) C mid product to -0x30..-0x29 xmpyu %fr8R, %fr6R, %fr24 ldd -0x18(%r30), p224d1 xmpyu %fr8L, %fr6L, %fr25 fstd %fr26, -0x58(%r30) C mid product to -0x58..-0x51 xmpyu %fr8R, %fr7R, %fr26 ldd -0x10(%r30), p224d2 fstd %fr27, -0x50(%r30) C mid product to -0x50..-0x49 addib,= -1, n, L(end2) xmpyu %fr8L, %fr7L, %fr27 LDEF(loop) add p032a1, p032a2, m032 ldd -0x80(%r30), p000a add,dc p096b1, p096b2, m096 fstd %fr28, -0x18(%r30) C mid product to -0x18..-0x11 add,dc p160c1, p160c2, m160 ldd -0x68(%r30), p064a add,dc p224d1, p224d2, m224 fstd %fr29, -0x10(%r30) C mid product to -0x10..-0x09 add,dc %r0, %r0, m288 ldd -0x40(%r30), p064b ldo 32(up), up fstd %fr30, -0x80(%r30) C low product to -0x80..-0x79 depd,z m032, 31, 32, ma000 ldd -0x28(%r30), p128b extrd,u m032, 31, 32, ma064 fstd %fr31, -0x68(%r30) C high product to -0x68..-0x61 depd m096, 31, 32, ma064 ldd -0x60(%r30), p128c extrd,u m096, 31, 32, ma128 fstd %fr22, -0x40(%r30) C low product to -0x40..-0x39 depd m160, 31, 32, ma128 ldd -0x48(%r30), p192c extrd,u m160, 31, 32, ma192 fstd %fr23, -0x28(%r30) C high product to -0x28..-0x21 depd m224, 31, 32, ma192 ldd -0x20(%r30), p192d extrd,u m224, 31, 32, ma256 fstd %fr24, -0x60(%r30) C low product to -0x60..-0x59 depd m288, 31, 32, ma256 ldd -0x88(%r30), p256d add climb, p000a, s000 fstd %fr25, -0x48(%r30) C high product to -0x48..-0x41 add,dc p064a, p064b, s064 add,dc p128b, p128c, s128 fstd %fr26, -0x20(%r30) C low product to -0x20..-0x19 add,dc p192c, p192d, s192 add,dc p256d, %r0, climb fstd %fr27, -0x88(%r30) C high product to -0x88..-0x81 add ma000, s000, s000 C accum mid 0 fldd 0(up), %fr4 add,dc ma064, s064, s064 C accum mid 1 std s000, 0(rp) add,dc ma128, s128, s128 C accum mid 2 fldd 8(up), %fr5 add,dc ma192, s192, s192 C accum mid 3 std s064, 8(rp) add,dc ma256, climb, climb fldd 16(up), %fr6 std s128, 16(rp) xmpyu %fr8R, %fr4L, %fr22 ldd -0x78(%r30), p032a1 xmpyu %fr8L, %fr4R, %fr23 fldd 24(up), %fr7 xmpyu %fr8R, %fr5L, %fr24 ldd -0x70(%r30), p032a2 xmpyu %fr8L, %fr5R, %fr25 std s192, 24(rp) xmpyu %fr8R, %fr6L, %fr26 ldd -0x38(%r30), p096b1 xmpyu %fr8L, %fr6R, %fr27 fstd %fr22, -0x78(%r30) C mid product to -0x78..-0x71 xmpyu %fr8R, %fr7L, %fr28 ldd -0x30(%r30), p096b2 xmpyu %fr8L, %fr7R, %fr29 fstd %fr23, -0x70(%r30) C mid product to -0x70..-0x69 xmpyu %fr8R, %fr4R, %fr30 ldd -0x58(%r30), p160c1 xmpyu %fr8L, %fr4L, %fr31 fstd %fr24, -0x38(%r30) C mid product to -0x38..-0x31 xmpyu %fr8R, %fr5R, %fr22 ldd -0x50(%r30), p160c2 xmpyu %fr8L, %fr5L, %fr23 fstd %fr25, -0x30(%r30) C mid product to -0x30..-0x29 xmpyu %fr8R, %fr6R, %fr24 ldd -0x18(%r30), p224d1 xmpyu %fr8L, %fr6L, %fr25 fstd %fr26, -0x58(%r30) C mid product to -0x58..-0x51 xmpyu %fr8R, %fr7R, %fr26 ldd -0x10(%r30), p224d2 fstd %fr27, -0x50(%r30) C mid product to -0x50..-0x49 xmpyu %fr8L, %fr7L, %fr27 addib,<> -1, n, L(loop) ldo 32(rp), rp LDEF(end2) add p032a1, p032a2, m032 ldd -0x80(%r30), p000a add,dc p096b1, p096b2, m096 fstd %fr28, -0x18(%r30) C mid product to -0x18..-0x11 add,dc p160c1, p160c2, m160 ldd -0x68(%r30), p064a add,dc p224d1, p224d2, m224 fstd %fr29, -0x10(%r30) C mid product to -0x10..-0x09 add,dc %r0, %r0, m288 ldd -0x40(%r30), p064b fstd %fr30, -0x80(%r30) C low product to -0x80..-0x79 depd,z m032, 31, 32, ma000 ldd -0x28(%r30), p128b extrd,u m032, 31, 32, ma064 fstd %fr31, -0x68(%r30) C high product to -0x68..-0x61 depd m096, 31, 32, ma064 ldd -0x60(%r30), p128c extrd,u m096, 31, 32, ma128 fstd %fr22, -0x40(%r30) C low product to -0x40..-0x39 depd m160, 31, 32, ma128 ldd -0x48(%r30), p192c extrd,u m160, 31, 32, ma192 fstd %fr23, -0x28(%r30) C high product to -0x28..-0x21 depd m224, 31, 32, ma192 ldd -0x20(%r30), p192d extrd,u m224, 31, 32, ma256 fstd %fr24, -0x60(%r30) C low product to -0x60..-0x59 depd m288, 31, 32, ma256 ldd -0x88(%r30), p256d add climb, p000a, s000 fstd %fr25, -0x48(%r30) C high product to -0x48..-0x41 add,dc p064a, p064b, s064 add,dc p128b, p128c, s128 fstd %fr26, -0x20(%r30) C low product to -0x20..-0x19 add,dc p192c, p192d, s192 add,dc p256d, %r0, climb fstd %fr27, -0x88(%r30) C high product to -0x88..-0x81 add ma000, s000, s000 C accum mid 0 add,dc ma064, s064, s064 C accum mid 1 add,dc ma128, s128, s128 C accum mid 2 add,dc ma192, s192, s192 C accum mid 3 add,dc ma256, climb, climb std s000, 0(rp) std s064, 8(rp) ldd -0x78(%r30), p032a1 std s128, 16(rp) ldd -0x70(%r30), p032a2 std s192, 24(rp) ldd -0x38(%r30), p096b1 ldd -0x30(%r30), p096b2 ldd -0x58(%r30), p160c1 ldd -0x50(%r30), p160c2 ldd -0x18(%r30), p224d1 ldd -0x10(%r30), p224d2 ldo 32(rp), rp LDEF(end1) add p032a1, p032a2, m032 ldd -0x80(%r30), p000a add,dc p096b1, p096b2, m096 add,dc p160c1, p160c2, m160 ldd -0x68(%r30), p064a add,dc p224d1, p224d2, m224 add,dc %r0, %r0, m288 ldd -0x40(%r30), p064b depd,z m032, 31, 32, ma000 ldd -0x28(%r30), p128b extrd,u m032, 31, 32, ma064 depd m096, 31, 32, ma064 ldd -0x60(%r30), p128c extrd,u m096, 31, 32, ma128 depd m160, 31, 32, ma128 ldd -0x48(%r30), p192c extrd,u m160, 31, 32, ma192 depd m224, 31, 32, ma192 ldd -0x20(%r30), p192d extrd,u m224, 31, 32, ma256 depd m288, 31, 32, ma256 ldd -0x88(%r30), p256d add climb, p000a, s000 add,dc p064a, p064b, s064 add,dc p128b, p128c, s128 add,dc p192c, p192d, s192 add,dc p256d, %r0, climb add ma000, s000, s000 C accum mid 0 add,dc ma064, s064, s064 C accum mid 1 add,dc ma128, s128, s128 C accum mid 2 add,dc ma192, s192, s192 C accum mid 3 add,dc ma256, climb, climb std s000, 0(rp) std s064, 8(rp) std s128, 16(rp) std s192, 24(rp) ldd -0xb0(%r30), %r13 ldd -0xb8(%r30), %r12 ldd -0xc0(%r30), %r11 ldd -0xc8(%r30), %r10 ldd -0xd0(%r30), %r9 ldd -0xd8(%r30), %r8 ldd -0xe0(%r30), %r7 ldd -0xe8(%r30), %r6 LDEF(done) ifdef(`HAVE_ABI_2_0w', ` copy climb, %r28 ',` extrd,u climb, 63, 32, %r29 extrd,u climb, 31, 32, %r28 ') ldd -0xf0(%r30), %r5 ldd -0xf8(%r30), %r4 bve (%r2) ldd,mb -0x100(%r30), %r3 EPILOGUE(mpn_mul_1)