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| 1 dnl Alpha ev67 mpn_gcd_1 -- Nx1 greatest common divisor. | |
| 2 | |
| 3 dnl Copyright 2003, 2004 Free Software Foundation, Inc. | |
| 4 | |
| 5 dnl This file is part of the GNU MP Library. | |
| 6 dnl | |
| 7 dnl The GNU MP Library is free software; you can redistribute it and/or | |
| 8 dnl modify it under the terms of the GNU Lesser General Public License as | |
| 9 dnl published by the Free Software Foundation; either version 3 of the | |
| 10 dnl License, or (at your option) any later version. | |
| 11 dnl | |
| 12 dnl The GNU MP Library is distributed in the hope that it will be useful, | |
| 13 dnl but WITHOUT ANY WARRANTY; without even the implied warranty of | |
| 14 dnl MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
| 15 dnl Lesser General Public License for more details. | |
| 16 dnl | |
| 17 dnl You should have received a copy of the GNU Lesser General Public License | |
| 18 dnl along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. | |
| 19 | |
| 20 include(`../config.m4') | |
| 21 | |
| 22 | |
| 23 C ev67: 3.4 cycles/bitpair for 1x1 part | |
| 24 | |
| 25 | |
| 26 C mp_limb_t mpn_gcd_1 (mp_srcptr xp, mp_size_t xsize, mp_limb_t y); | |
| 27 C | |
| 28 C In the 1x1 part, the algorithm is to change x,y to abs(x-y),min(x,y) and | |
| 29 C strip trailing zeros from abs(x-y) to maintain x and y both odd. | |
| 30 C | |
| 31 C The trailing zeros are calculated from just x-y, since in twos-complement | |
| 32 C there's the same number of trailing zeros on d or -d. This means the cttz | |
| 33 C runs in parallel with abs(x-y). | |
| 34 C | |
| 35 C The loop takes 5 cycles, and at 0.68 iterations per bit for two N-bit | |
| 36 C operands with this algorithm gives the measured 3.4 c/l. | |
| 37 C | |
| 38 C The slottings shown are for SVR4 style systems, Unicos differs in the | |
| 39 C initial gp setup and the LEA. | |
| 40 C | |
| 41 C Enhancement: | |
| 42 C | |
| 43 C On the jsr, !lituse_jsr! (when available) would allow the linker to relax | |
| 44 C it to a bsr, but probably only in a static binary. Plain "jsr foo" gives | |
| 45 C the right object code for relaxation, and ought to be available | |
| 46 C everywhere, but we prefer to schedule the GOT ldq (LEA) back earlier, for | |
| 47 C the usual case of running in a shared library. | |
| 48 C | |
| 49 C bsr could perhaps be used explicitly anyway. We should be able to assume | |
| 50 C modexact is in the same module as us (ie. shared library or mainline). | |
| 51 C Would there be any worries about the size of the displacement? Could | |
| 52 C always put modexact and gcd_1 in the same .o to be certain. | |
| 53 | |
| 54 ASM_START() | |
| 55 PROLOGUE(mpn_gcd_1, gp) | |
| 56 | |
| 57 C r16 xp | |
| 58 C r17 size | |
| 59 C r18 y | |
| 60 | |
| 61 C ldah C l | |
| 62 C lda C u | |
| 63 | |
| 64 ldq r0, 0(r16) C L x = xp[0] | |
| 65 lda r30, -32(r30) C u alloc stack | |
| 66 | |
| 67 LEA( r27, mpn_modexact_1c_odd) C L modexact addr, ldq (gp) | |
| 68 stq r10, 16(r30) C L save r10 | |
| 69 cttz r18, r10 C U0 y twos | |
| 70 cmpeq r17, 1, r5 C u test size==1 | |
| 71 | |
| 72 stq r9, 8(r30) C L save r9 | |
| 73 clr r19 C u zero c for modexact | |
| 74 unop | |
| 75 unop | |
| 76 | |
| 77 cttz r0, r6 C U0 x twos | |
| 78 stq r26, 0(r30) C L save ra | |
| 79 | |
| 80 srl r18, r10, r18 C U y odd | |
| 81 | |
| 82 mov r18, r9 C l hold y across call | |
| 83 | |
| 84 cmpult r6, r10, r2 C u test x_twos < y_twos | |
| 85 | |
| 86 cmovne r2, r6, r10 C l common_twos = min(x_twos,y_twos) | |
| 87 bne r5, L(one) C U no modexact if size==1 | |
| 88 jsr r26, (r27), mpn_modexact_1c_odd C L0 | |
| 89 | |
| 90 LDGP( r29, 0(r26)) C u,l ldah,lda | |
| 91 cttz r0, r6 C U0 new x twos | |
| 92 ldq r26, 0(r30) C L restore ra | |
| 93 | |
| 94 L(one): | |
| 95 mov r9, r1 C u y | |
| 96 ldq r9, 8(r30) C L restore r9 | |
| 97 mov r10, r2 C u common twos | |
| 98 ldq r10, 16(r30) C L restore r10 | |
| 99 | |
| 100 lda r30, 32(r30) C l free stack | |
| 101 beq r0, L(done) C U return y if x%y==0 | |
| 102 | |
| 103 srl r0, r6, r0 C U x odd | |
| 104 unop | |
| 105 | |
| 106 ALIGN(16) | |
| 107 L(top): | |
| 108 C r0 x | |
| 109 C r1 y | |
| 110 C r2 common twos, for use at end | |
| 111 | |
| 112 subq r0, r1, r7 C l0 d = x - y | |
| 113 cmpult r0, r1, r16 C u0 test x >= y | |
| 114 | |
| 115 subq r1, r0, r4 C l0 new_x = y - x | |
| 116 cttz r7, r8 C U0 d twos | |
| 117 | |
| 118 cmoveq r16, r7, r4 C l0 new_x = d if x>=y | |
| 119 cmovne r16, r0, r1 C u0 y = x if x<y | |
| 120 unop C l \ force cmoveq into l0 | |
| 121 unop C u / | |
| 122 | |
| 123 C C cmoveq2 L0, cmovne2 U0 | |
| 124 | |
| 125 srl r4, r8, r0 C U0 x = new_x >> twos | |
| 126 bne r7, L(top) C U1 stop when d==0 | |
| 127 | |
| 128 | |
| 129 L(done): | |
| 130 sll r1, r2, r0 C U0 return y << common_twos | |
| 131 ret r31, (r26), 1 C L0 | |
| 132 | |
| 133 EPILOGUE() | |
| 134 ASM_END() | |
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