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authorPeter Breitenlohner <peb@mppmu.mpg.de>2014-06-18 11:12:01 +0000
committerPeter Breitenlohner <peb@mppmu.mpg.de>2014-06-18 11:12:01 +0000
commit0c2f0333a4e539325da80cdf3fb182cd17134665 (patch)
treede5daa66b5595292a33c25110aa58ff8bff75543 /Build/source/libs/gmp/gmp-6.0.0/mpn/alpha/ev6/mul_1.asm
parentdb612d5045ef55da386a2c3350d4811d1da1a858 (diff)
Add libs/gmp and libs/mpfr in preparation for MetaPost 2.0
git-svn-id: svn://tug.org/texlive/trunk@34274 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Build/source/libs/gmp/gmp-6.0.0/mpn/alpha/ev6/mul_1.asm')
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diff --git a/Build/source/libs/gmp/gmp-6.0.0/mpn/alpha/ev6/mul_1.asm b/Build/source/libs/gmp/gmp-6.0.0/mpn/alpha/ev6/mul_1.asm
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+dnl Alpha ev6 mpn_mul_1 -- Multiply a limb vector with a limb and store the
+dnl result in a second limb vector.
+
+dnl Copyright 2000, 2001, 2005 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 INPUT PARAMETERS
+C res_ptr r16
+C s1_ptr r17
+C size r18
+C s2_limb r19
+
+C This code runs at 2.25 cycles/limb on EV6.
+
+C This code was written in close cooperation with ev6 pipeline expert
+C Steve Root. Any errors are tege's fault, though.
+
+C Code structure:
+
+C code for n < 8
+C code for n > 8 code for (n mod 8)
+C code for (n div 8) feed-in code
+C 8-way unrolled loop
+C wind-down code
+
+C Some notes about unrolled loop:
+C
+C r1-r8 multiplies and workup
+C r21-r28 multiplies and workup
+C r9-r12 loads
+C r0 -1
+C r20,r29,r13-r15 scramble
+C
+C We're doing 7 of the 8 carry propagations with a br fixup code and 1 with a
+C put-the-carry-into-hi. The idea is that these branches are very rarely
+C taken, and since a non-taken branch consumes no resources, that is better
+C than an addq.
+C
+C Software pipeline: a load in cycle #09, feeds a mul in cycle #16, feeds an
+C add NEXT cycle #09 which feeds a store in NEXT cycle #02
+
+C The code could use some further work:
+C 1. Speed up really small multiplies. The default alpha/mul_1.asm code is
+C faster than this for size < 3.
+C 2. Improve feed-in code, perhaps with the equivalent of switch(n%8) unless
+C that is too costly.
+C 3. Consider using 4-way unrolling, even if that runs slower.
+C 4. Reduce register usage. In particular, try to avoid using r29.
+
+ASM_START()
+PROLOGUE(mpn_mul_1)
+ cmpult r18, 8, r1
+ beq r1, $Large
+$Lsmall:
+ ldq r2,0(r17) C r2 = s1_limb
+ lda r18,-1(r18) C size--
+ mulq r2,r19,r3 C r3 = prod_low
+ bic r31,r31,r4 C clear cy_limb
+ umulh r2,r19,r0 C r0 = prod_high
+ beq r18,$Le1a C jump if size was == 1
+ ldq r2,8(r17) C r2 = s1_limb
+ lda r18,-1(r18) C size--
+ stq r3,0(r16)
+ beq r18,$Le2a C jump if size was == 2
+ ALIGN(8)
+$Lopa: mulq r2,r19,r3 C r3 = prod_low
+ addq r4,r0,r0 C cy_limb = cy_limb + 'cy'
+ lda r18,-1(r18) C size--
+ umulh r2,r19,r4 C r4 = cy_limb
+ ldq r2,16(r17) C r2 = s1_limb
+ lda r17,8(r17) C s1_ptr++
+ addq r3,r0,r3 C r3 = cy_limb + prod_low
+ stq r3,8(r16)
+ cmpult r3,r0,r0 C r0 = carry from (cy_limb + prod_low)
+ lda r16,8(r16) C res_ptr++
+ bne r18,$Lopa
+
+$Le2a: mulq r2,r19,r3 C r3 = prod_low
+ addq r4,r0,r0 C cy_limb = cy_limb + 'cy'
+ umulh r2,r19,r4 C r4 = cy_limb
+ addq r3,r0,r3 C r3 = cy_limb + prod_low
+ cmpult r3,r0,r0 C r0 = carry from (cy_limb + prod_low)
+ stq r3,8(r16)
+ addq r4,r0,r0 C cy_limb = prod_high + cy
+ ret r31,(r26),1
+$Le1a: stq r3,0(r16)
+ ret r31,(r26),1
+
+$Large:
+ lda r30, -224(r30)
+ stq r26, 0(r30)
+ stq r9, 8(r30)
+ stq r10, 16(r30)
+ stq r11, 24(r30)
+ stq r12, 32(r30)
+ stq r13, 40(r30)
+ stq r14, 48(r30)
+ stq r15, 56(r30)
+ stq r29, 64(r30)
+
+ and r18, 7, r20 C count for the first loop, 0-7
+ srl r18, 3, r18 C count for unrolled loop
+ bis r31, r31, r21
+ beq r20, $L_8_or_more C skip first loop
+
+$L_9_or_more:
+ ldq r2,0(r17) C r2 = s1_limb
+ lda r17,8(r17) C s1_ptr++
+ lda r20,-1(r20) C size--
+ mulq r2,r19,r3 C r3 = prod_low
+ umulh r2,r19,r21 C r21 = prod_high
+ beq r20,$Le1b C jump if size was == 1
+ bis r31, r31, r0 C FIXME: shouldn't need this
+ ldq r2,0(r17) C r2 = s1_limb
+ lda r17,8(r17) C s1_ptr++
+ lda r20,-1(r20) C size--
+ stq r3,0(r16)
+ lda r16,8(r16) C res_ptr++
+ beq r20,$Le2b C jump if size was == 2
+ ALIGN(8)
+$Lopb: mulq r2,r19,r3 C r3 = prod_low
+ addq r21,r0,r0 C cy_limb = cy_limb + 'cy'
+ lda r20,-1(r20) C size--
+ umulh r2,r19,r21 C r21 = prod_high
+ ldq r2,0(r17) C r2 = s1_limb
+ lda r17,8(r17) C s1_ptr++
+ addq r3,r0,r3 C r3 = cy_limb + prod_low
+ stq r3,0(r16)
+ cmpult r3,r0,r0 C r0 = carry from (cy_limb + prod_low)
+ lda r16,8(r16) C res_ptr++
+ bne r20,$Lopb
+
+$Le2b: mulq r2,r19,r3 C r3 = prod_low
+ addq r21,r0,r0 C cy_limb = cy_limb + 'cy'
+ umulh r2,r19,r21 C r21 = prod_high
+ addq r3,r0,r3 C r3 = cy_limb + prod_low
+ cmpult r3,r0,r0 C r0 = carry from (cy_limb + prod_low)
+ stq r3,0(r16)
+ lda r16,8(r16) C res_ptr++
+ addq r21,r0,r21 C cy_limb = prod_high + cy
+ br r31, $L_8_or_more
+$Le1b: stq r3,0(r16)
+ lda r16,8(r16) C res_ptr++
+
+$L_8_or_more:
+ lda r0, -1(r31) C put -1 in r0, for tricky loop control
+ lda r17, -32(r17) C L1 bookkeeping
+ lda r18, -1(r18) C decrement count
+
+ ldq r9, 32(r17) C L1
+ ldq r10, 40(r17) C L1
+ mulq r9, r19, r22 C U1 #07
+ ldq r11, 48(r17) C L1
+ umulh r9, r19, r23 C U1 #08
+ ldq r12, 56(r17) C L1
+ mulq r10, r19, r24 C U1 #09
+ ldq r9, 64(r17) C L1
+
+ lda r17, 64(r17) C L1 bookkeeping
+
+ umulh r10, r19, r25 C U1 #11
+ mulq r11, r19, r26 C U1 #12
+ umulh r11, r19, r27 C U1 #13
+ mulq r12, r19, r28 C U1 #14
+ ldq r10, 8(r17) C L1
+ umulh r12, r19, r1 C U1 #15
+ ldq r11, 16(r17) C L1
+ mulq r9, r19, r2 C U1 #16
+ ldq r12, 24(r17) C L1
+ umulh r9, r19, r3 C U1 #17
+ addq r21, r22, r13 C L1 mov
+ mulq r10, r19, r4 C U1 #18
+ addq r23, r24, r22 C L0 sum 2 mul's
+ cmpult r13, r21, r14 C L1 carry from sum
+ bgt r18, $L_16_or_more
+
+ cmpult r22, r24, r24 C U0 carry from sum
+ umulh r10, r19, r5 C U1 #02
+ addq r25, r26, r23 C U0 sum 2 mul's
+ mulq r11, r19, r6 C U1 #03
+ cmpult r23, r26, r25 C U0 carry from sum
+ umulh r11, r19, r7 C U1 #04
+ addq r27, r28, r28 C U0 sum 2 mul's
+ mulq r12, r19, r8 C U1 #05
+ cmpult r28, r27, r15 C L0 carry from sum
+ lda r16, 32(r16) C L1 bookkeeping
+ addq r13, r31, r13 C U0 start carry cascade
+ umulh r12, r19, r21 C U1 #06
+ br r31, $ret0c
+
+$L_16_or_more:
+C ---------------------------------------------------------------
+ subq r18,1,r18
+ cmpult r22, r24, r24 C U0 carry from sum
+ ldq r9, 32(r17) C L1
+
+ umulh r10, r19, r5 C U1 #02
+ addq r25, r26, r23 C U0 sum 2 mul's
+ mulq r11, r19, r6 C U1 #03
+ cmpult r23, r26, r25 C U0 carry from sum
+ umulh r11, r19, r7 C U1 #04
+ addq r27, r28, r28 C U0 sum 2 mul's
+ mulq r12, r19, r8 C U1 #05
+ cmpult r28, r27, r15 C L0 carry from sum
+ lda r16, 32(r16) C L1 bookkeeping
+ addq r13, r31, r13 C U0 start carry cascade
+
+ umulh r12, r19, r21 C U1 #06
+C beq r13, $fix0w C U0
+$ret0w: addq r22, r14, r26 C L0
+ ldq r10, 40(r17) C L1
+
+ mulq r9, r19, r22 C U1 #07
+ beq r26, $fix1w C U0
+$ret1w: addq r23, r24, r27 C L0
+ ldq r11, 48(r17) C L1
+
+ umulh r9, r19, r23 C U1 #08
+ beq r27, $fix2w C U0
+$ret2w: addq r28, r25, r28 C L0
+ ldq r12, 56(r17) C L1
+
+ mulq r10, r19, r24 C U1 #09
+ beq r28, $fix3w C U0
+$ret3w: addq r1, r2, r20 C L0 sum 2 mul's
+ ldq r9, 64(r17) C L1
+
+ addq r3, r4, r2 C L0 #10 2 mul's
+ lda r17, 64(r17) C L1 bookkeeping
+ cmpult r20, r1, r29 C U0 carry from sum
+
+ umulh r10, r19, r25 C U1 #11
+ cmpult r2, r4, r4 C U0 carry from sum
+ stq r13, -32(r16) C L0
+ stq r26, -24(r16) C L1
+
+ mulq r11, r19, r26 C U1 #12
+ addq r5, r6, r14 C U0 sum 2 mul's
+ stq r27, -16(r16) C L0
+ stq r28, -8(r16) C L1
+
+ umulh r11, r19, r27 C U1 #13
+ cmpult r14, r6, r3 C U0 carry from sum
+C could do cross-jumping here:
+C bra $L_middle_of_unrolled_loop
+ mulq r12, r19, r28 C U1 #14
+ addq r7, r3, r5 C L0 eat carry
+ addq r20, r15, r20 C U0 carry cascade
+ ldq r10, 8(r17) C L1
+
+ umulh r12, r19, r1 C U1 #15
+ beq r20, $fix4 C U0
+$ret4w: addq r2, r29, r6 C L0
+ ldq r11, 16(r17) C L1
+
+ mulq r9, r19, r2 C U1 #16
+ beq r6, $fix5 C U0
+$ret5w: addq r14, r4, r7 C L0
+ ldq r12, 24(r17) C L1
+
+ umulh r9, r19, r3 C U1 #17
+ beq r7, $fix6 C U0
+$ret6w: addq r5, r8, r8 C L0 sum 2
+ addq r21, r22, r13 C L1 sum 2 mul's
+
+ mulq r10, r19, r4 C U1 #18
+ addq r23, r24, r22 C L0 sum 2 mul's
+ cmpult r13, r21, r14 C L1 carry from sum
+ ble r18, $Lend C U0
+C ---------------------------------------------------------------
+ ALIGN(16)
+$Loop:
+ umulh r0, r18, r18 C U1 #01 decrement r18!
+ cmpult r8, r5, r29 C L0 carry from last bunch
+ cmpult r22, r24, r24 C U0 carry from sum
+ ldq r9, 32(r17) C L1
+
+ umulh r10, r19, r5 C U1 #02
+ addq r25, r26, r23 C U0 sum 2 mul's
+ stq r20, 0(r16) C L0
+ stq r6, 8(r16) C L1
+
+ mulq r11, r19, r6 C U1 #03
+ cmpult r23, r26, r25 C U0 carry from sum
+ stq r7, 16(r16) C L0
+ stq r8, 24(r16) C L1
+
+ umulh r11, r19, r7 C U1 #04
+ bis r31, r31, r31 C L0 st slosh
+ bis r31, r31, r31 C L1 st slosh
+ addq r27, r28, r28 C U0 sum 2 mul's
+
+ mulq r12, r19, r8 C U1 #05
+ cmpult r28, r27, r15 C L0 carry from sum
+ lda r16, 64(r16) C L1 bookkeeping
+ addq r13, r29, r13 C U0 start carry cascade
+
+ umulh r12, r19, r21 C U1 #06
+ beq r13, $fix0 C U0
+$ret0: addq r22, r14, r26 C L0
+ ldq r10, 40(r17) C L1
+
+ mulq r9, r19, r22 C U1 #07
+ beq r26, $fix1 C U0
+$ret1: addq r23, r24, r27 C L0
+ ldq r11, 48(r17) C L1
+
+ umulh r9, r19, r23 C U1 #08
+ beq r27, $fix2 C U0
+$ret2: addq r28, r25, r28 C L0
+ ldq r12, 56(r17) C L1
+
+ mulq r10, r19, r24 C U1 #09
+ beq r28, $fix3 C U0
+$ret3: addq r1, r2, r20 C L0 sum 2 mul's
+ ldq r9, 64(r17) C L1
+
+ addq r3, r4, r2 C L0 #10 2 mul's
+ bis r31, r31, r31 C U1 mul hole
+ lda r17, 64(r17) C L1 bookkeeping
+ cmpult r20, r1, r29 C U0 carry from sum
+
+ umulh r10, r19, r25 C U1 #11
+ cmpult r2, r4, r4 C U0 carry from sum
+ stq r13, -32(r16) C L0
+ stq r26, -24(r16) C L1
+
+ mulq r11, r19, r26 C U1 #12
+ addq r5, r6, r14 C U0 sum 2 mul's
+ stq r27, -16(r16) C L0
+ stq r28, -8(r16) C L1
+
+ umulh r11, r19, r27 C U1 #13
+ bis r31, r31, r31 C L0 st slosh
+ bis r31, r31, r31 C L1 st slosh
+ cmpult r14, r6, r3 C U0 carry from sum
+$L_middle_of_unrolled_loop:
+ mulq r12, r19, r28 C U1 #14
+ addq r7, r3, r5 C L0 eat carry
+ addq r20, r15, r20 C U0 carry cascade
+ ldq r10, 8(r17) C L1
+
+ umulh r12, r19, r1 C U1 #15
+ beq r20, $fix4 C U0
+$ret4: addq r2, r29, r6 C L0
+ ldq r11, 16(r17) C L1
+
+ mulq r9, r19, r2 C U1 #16
+ beq r6, $fix5 C U0
+$ret5: addq r14, r4, r7 C L0
+ ldq r12, 24(r17) C L1
+
+ umulh r9, r19, r3 C U1 #17
+ beq r7, $fix6 C U0
+$ret6: addq r5, r8, r8 C L0 sum 2
+ addq r21, r22, r13 C L1 sum 2 mul's
+
+ mulq r10, r19, r4 C U1 #18
+ addq r23, r24, r22 C L0 sum 2 mul's
+ cmpult r13, r21, r14 C L1 carry from sum
+ bgt r18, $Loop C U0
+C ---------------------------------------------------------------
+$Lend:
+ cmpult r8, r5, r29 C L0 carry from last bunch
+ cmpult r22, r24, r24 C U0 carry from sum
+
+ umulh r10, r19, r5 C U1 #02
+ addq r25, r26, r23 C U0 sum 2 mul's
+ stq r20, 0(r16) C L0
+ stq r6, 8(r16) C L1
+
+ mulq r11, r19, r6 C U1 #03
+ cmpult r23, r26, r25 C U0 carry from sum
+ stq r7, 16(r16) C L0
+ stq r8, 24(r16) C L1
+
+ umulh r11, r19, r7 C U1 #04
+ addq r27, r28, r28 C U0 sum 2 mul's
+
+ mulq r12, r19, r8 C U1 #05
+ cmpult r28, r27, r15 C L0 carry from sum
+ lda r16, 64(r16) C L1 bookkeeping
+ addq r13, r29, r13 C U0 start carry cascade
+
+ umulh r12, r19, r21 C U1 #06
+ beq r13, $fix0c C U0
+$ret0c: addq r22, r14, r26 C L0
+ beq r26, $fix1c C U0
+$ret1c: addq r23, r24, r27 C L0
+ beq r27, $fix2c C U0
+$ret2c: addq r28, r25, r28 C L0
+ beq r28, $fix3c C U0
+$ret3c: addq r1, r2, r20 C L0 sum 2 mul's
+ addq r3, r4, r2 C L0 #10 2 mul's
+ lda r17, 64(r17) C L1 bookkeeping
+ cmpult r20, r1, r29 C U0 carry from sum
+ cmpult r2, r4, r4 C U0 carry from sum
+ stq r13, -32(r16) C L0
+ stq r26, -24(r16) C L1
+ addq r5, r6, r14 C U0 sum 2 mul's
+ stq r27, -16(r16) C L0
+ stq r28, -8(r16) C L1
+ cmpult r14, r6, r3 C U0 carry from sum
+ addq r7, r3, r5 C L0 eat carry
+ addq r20, r15, r20 C U0 carry cascade
+ beq r20, $fix4c C U0
+$ret4c: addq r2, r29, r6 C L0
+ beq r6, $fix5c C U0
+$ret5c: addq r14, r4, r7 C L0
+ beq r7, $fix6c C U0
+$ret6c: addq r5, r8, r8 C L0 sum 2
+ cmpult r8, r5, r29 C L0 carry from last bunch
+ stq r20, 0(r16) C L0
+ stq r6, 8(r16) C L1
+ stq r7, 16(r16) C L0
+ stq r8, 24(r16) C L1
+ addq r29, r21, r0
+
+ ldq r26, 0(r30)
+ ldq r9, 8(r30)
+ ldq r10, 16(r30)
+ ldq r11, 24(r30)
+ ldq r12, 32(r30)
+ ldq r13, 40(r30)
+ ldq r14, 48(r30)
+ ldq r15, 56(r30)
+ ldq r29, 64(r30)
+ lda r30, 224(r30)
+ ret r31, (r26), 1
+
+C $fix0w: bis r14, r29, r14 C join carries
+C br r31, $ret0w
+$fix1w: bis r24, r14, r24 C join carries
+ br r31, $ret1w
+$fix2w: bis r25, r24, r25 C join carries
+ br r31, $ret2w
+$fix3w: bis r15, r25, r15 C join carries
+ br r31, $ret3w
+$fix0: bis r14, r29, r14 C join carries
+ br r31, $ret0
+$fix1: bis r24, r14, r24 C join carries
+ br r31, $ret1
+$fix2: bis r25, r24, r25 C join carries
+ br r31, $ret2
+$fix3: bis r15, r25, r15 C join carries
+ br r31, $ret3
+$fix4: bis r29, r15, r29 C join carries
+ br r31, $ret4
+$fix5: bis r4, r29, r4 C join carries
+ br r31, $ret5
+$fix6: addq r5, r4, r5 C can't carry twice!
+ br r31, $ret6
+$fix0c: bis r14, r29, r14 C join carries
+ br r31, $ret0c
+$fix1c: bis r24, r14, r24 C join carries
+ br r31, $ret1c
+$fix2c: bis r25, r24, r25 C join carries
+ br r31, $ret2c
+$fix3c: bis r15, r25, r15 C join carries
+ br r31, $ret3c
+$fix4c: bis r29, r15, r29 C join carries
+ br r31, $ret4c
+$fix5c: bis r4, r29, r4 C join carries
+ br r31, $ret5c
+$fix6c: addq r5, r4, r5 C can't carry twice!
+ br r31, $ret6c
+
+EPILOGUE(mpn_mul_1)
+ASM_END()